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                            "position": {
                                "x": 1994.1085205078125,
                                "y": -2.675689697265625
                            }
                        },
                        {
                            "type": "Timer",
                            "id": "cc1a4bdf-28b3-47fa-8005-2e1005b02525",
                            "position": {
                                "x": 1993.0003662109375,
                                "y": 45.434844970703128
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                        {
                            "type": "Expr",
                            "id": "0b4690d2-d7ef-434f-986e-0a4a83c11d73",
                            "position": {
                                "x": 2089.459716796875,
                                "y": 96.01730346679688
                            },
                            "expr": "1+(Timer*-6)"
                        },
                        {
                            "type": "Timer",
                            "id": "306165a3-de25-4811-81e1-21304fd82765",
                            "position": {
                                "x": 1990.7325439453125,
                                "y": 95.49343872070313
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                        {
                            "type": "Expr",
                            "id": "6b9a7837-2266-47b3-8108-db5789fe42e9",
                            "position": {
                                "x": 2088.351318359375,
                                "y": 144.12783813476563
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                            "expr": "1+(Timer*-6)"
                        },
                        {
                            "type": "Timer",
                            "id": "d30be6e3-44e9-4be8-9e13-ee231c702bac",
                            "position": {
                                "x": 1989.6243896484375,
                                "y": 143.60397338867188
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                        },
                        {
                            "type": "Timer",
                            "id": "78597262-78bd-426e-96d0-83f27f824aa1",
                            "position": {
                                "x": 1988.6348876953125,
                                "y": 192.16641235351563
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                        {
                            "type": "Expr",
                            "id": "e00da607-a445-461a-ace0-57b7d872003b",
                            "position": {
                                "x": 2087.36181640625,
                                "y": 192.69027709960938
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                            "expr": "1+(Timer*-6)"
                        },
                        {
                            "type": "Timer",
                            "id": "a3bda3b2-d48d-4938-b792-23182c2df3c8",
                            "position": {
                                "x": 1987.5264892578125,
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                        {
                            "type": "Expr",
                            "id": "af9f62ee-7d2b-4440-a769-b581619e7f88",
                            "position": {
                                "x": 2086.253662109375,
                                "y": 240.80075073242188
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                            "expr": "1+(Timer*-6)"
                        },
                        {
                            "type": "Crossfade",
                            "id": "4942a742-72ca-461e-8ee4-30329075f5a9",
                            "position": {
                                "x": -423.117919921875,
                                "y": 628.4263916015625
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                        {
                            "type": "Expr",
                            "id": "c42ac072-5d19-4cc0-9328-ff7dd7ed6c44",
                            "position": {
                                "x": 484.3557434082031,
                                "y": -60.291351318359378
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                            "expr": "(Counter>8)*Sample8"
                        },
                        {
                            "type": "Patch",
                            "id": "f21b5b43-a612-4e20-b7b4-9829897320cb",
                            "position": {
                                "x": 516.687744140625,
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                            "subPatch": {
                                "id": "ddaf5d8f-f157-4373-9348-4b57af6c30f3",
                                "pan": {
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                                "zoom": 5.266594409942627,
                                "nodes": [
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                                        "type": "Input",
                                        "id": "9e405851-e0e1-4809-b896-35d8241cfe3e",
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                                        "name": "",
                                        "exposedPosition": {
                                            "x": -25.0,
                                            "y": -5.0
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                                    {
                                        "type": "Output",
                                        "id": "06f280ca-c69b-46de-b21b-1f5f22290596",
                                        "position": {
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                                        "name": "",
                                        "exposedPosition": {
                                            "x": 0.0,
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                                "wires": [
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                                        "from": "9e405851-e0e1-4809-b896-35d8241cfe3e",
                                        "output": 0,
                                        "to": "06f280ca-c69b-46de-b21b-1f5f22290596",
                                        "input": 0
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                        },
                        {
                            "type": "Expr",
                            "id": "b0e29c62-0b91-413c-9ec1-1b3f57dfe91f",
                            "position": {
                                "x": 485.9820251464844,
                                "y": -133.09622192382813
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                            "expr": "(Counter>7)*Sample7"
                        },
                        {
                            "type": "Expr",
                            "id": "a0a3d573-f4c2-448e-998b-c7739867b465",
                            "position": {
                                "x": 487.6328430175781,
                                "y": -280.00897216796877
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                            "expr": "(Counter>5)*Sample5"
                        },
                        {
                            "type": "Expr",
                            "id": "47c0c28c-f0a9-46fc-a9aa-02d391d3741c",
                            "position": {
                                "x": 486.0065612792969,
                                "y": -207.2040557861328
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                            "expr": "(Counter>6)*Sample6"
                        },
                        {
                            "type": "Expr",
                            "id": "dd0a1b91-698c-46e6-a5de-f46e76e7d5a4",
                            "position": {
                                "x": 488.6891174316406,
                                "y": -426.47369384765627
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                            "expr": "(Counter>3)*Sample3"
                        },
                        {
                            "type": "Expr",
                            "id": "dd0a8839-a1c2-4595-9942-71b57e41779d",
                            "position": {
                                "x": 488.7136535644531,
                                "y": -500.58154296875
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                            "expr": "(Counter>2)*Sample2"
                        },
                        {
                            "type": "Expr",
                            "id": "9bd3a9d5-2f80-45c9-aab6-c6b81536f5c4",
                            "position": {
                                "x": 490.3399353027344,
                                "y": -573.3865356445313
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                            "expr": "(Counter>1)*Sample1"
                        },
                        {
                            "type": "Expr",
                            "id": "bec080ab-188f-4c0a-b6ce-b37f05fb733f",
                            "position": {
                                "x": 487.0628356933594,
                                "y": -353.66888427734377
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                            "expr": "(Counter>4)*Sample4"
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                        {
                            "type": "Text",
                            "id": "0c0c48c0-3623-42cf-93e4-0c80176ab6e0",
                            "position": {
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                            "text": "This knob sets the loop's time in seconds.  The MaximumLoopSeconds variable can be changed if you want to increase the range of the knob.  The loop can be as long as you want - a million seconds if you want.  You still only get 8 pulse samples though.  Shifting the loop time does not stretch the loop as it might on an audio looper, making the loop more condensed and faster.  If you program 8 steps equally over an 4 second period and then change the loop time to 2 seconds, you will only see four pulses.  The pulses stay where they are in time until they are either reset or overwritten.  The +.001 at the end of this expression prevents the output of the knob from falling to 0.  A value of 0 would shut off the the self-resetting timer to the right.  But at .001 seconds, the loop is functionally at 0 seconds long and the gate is (almost) always high.",
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                        {
                            "type": "Expr",
                            "id": "ab68d612-43a8-4a1c-a37e-94c9d06a1597",
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                            "expr": "4"
                        },
                        {
                            "type": "Expr",
                            "id": "8b43b22c-a514-428a-ab8e-1f00d22c190c",
                            "position": {
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                            },
                            "expr": "1+((Knob==0)*-1)"
                        },
                        {
                            "type": "Knob",
                            "id": "d66fb833-f5cb-4b04-9749-4096e7d5407c",
                            "position": {
                                "x": -1036.0546875,
                                "y": 862.7576904296875
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                            "name": "",
                            "knob": {
                                "value": 0.235634446144104,
                                "min": 0.0,
                                "max": 1.0
                            },
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                        {
                            "type": "Expr",
                            "id": "22ef8d70-415f-4b11-b95c-5385ff0a5702",
                            "position": {
                                "x": -956.44140625,
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                            "expr": "Knob*MaximumLoopSeconds+.001"
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                        {
                            "type": "Text",
                            "id": "d2371808-7ed3-46ca-a2be-08146e01b8f1",
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                            "text": "This expression checks if the knob is turned all the way down.  When it is, this expression flips the timer input from the internal self-resetting timer above the Crossfade node to an external one.  This is so you can chain multiple modules together and keep them all in sync.  The semantic equivalent of this logic expression is \"If the knob does not equal zero, output a one.  Otherwise, output a zero.\"  The 1+((~)*-1) part of the equation is an inverter, and so the meaning of the \"exactly equal\" expression is inverted to mean \"anything but.\"  You can also use the expression !=, but this 1+((~)*-1) inversion is something you can use in other exressions as well.",
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                        {
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                            "text": "This is a self-resetting timer.  The logic expression checks if the Timer node is equal or greater than the Seconds value and pulses the Timer node input when the equation is true.  The reason the >= (greater than or equal to) is there rather than == (exactly equal to) is because == would only work 100% of the time if Audulus ran this portion in single-sample mode.  The >= will catch an overshoot, even if it is imperceptibly small. ",
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                            "id": "b22a1891-e0c6-4c52-8415-b4ae348d8ab2",
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                            "text": "This is the external timer input.  It's only needed when you want to chain multiple loopers together.",
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                        {
                            "type": "Text",
                            "id": "094d92d6-9b2a-4f0a-91a3-e67799314328",
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                            "text": "This is a quantizer expression.  For the same reason that the self-resetting timer above needs a >= expression to catch overages caused by batch processing, this floor(Timer*100)/100 expression allows the Sample==Timer to \"catch\" 100% of the time.  Without this expression, each sampled number would have 32 digits instead of 3.  What this expression does is it shifts the number to the left 2 decimal places (*100), then cuts off the decimal portion (floor(x)) and then shifts the number back to the right (/100), now without the trailing 29 digits.",
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                            "text": "This expression takes the Timer input and the Seconds input and turns it into a 0-1 reverse saw wave.  The Seconds variable is set by the knob (the maximum loop time) and as the timer increases towards its reset point, it shrinks to zero.  Dividing this number by Seconds brings the range down to exactly 0-1.  This output is used for powering the indicator lights on the right side of the patch.",
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                        {
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                            "id": "a49ce72a-5fd2-4d84-9116-a5fa299b3ff1",
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                            "text": "This is the external timer output.  This passes the timer signal along to another looper module to keep them in sync.  If this is the first loop module in the chain, it will pass its internal self-resetting timer on to the next module.  If it is not the first module in the chain, it will still pass the timer signal through to the next module.  If you have many modules strung together, you don't need to hook them all up to the master module - they can pass the signal one to the other in a chain.",
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                            "id": "3804745a-56fb-4ad3-bbdf-d29f7b1d6a70",
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                            "text": "This is the Rhythm button.  You use it to enter the rhythmic pattern you want by clicking or tapping on it.  Its output feeds into several locations.  It is the main input for all 8 Sample & Hold nodes in the middle of the patch.  It also triggers a counter that switches where its output is being routed to with a Demux node.  It also feeds another counter that turn the individual samples on.  If it didn't do this, you would hear all of the samples on startup or reset play at once whenever the timer returned to 0.",
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                            "id": "dcf50240-4e3e-4368-955f-0cf69c3a579f",
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                            "text": "This Reset+Rhythm expression combines the outputs of the two buttons into one channel.",
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                        {
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                            "id": "0ce64ea1-b069-432b-8433-0ef042219eda",
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                            "text": "This Sample-1 expression makes the counter begin at -1.  -1 selects output 8 on the Demux node.  It does this so that when the first rhythm is entered, it will flow through the next step, i.e., output 1.  The counter still outputs 8 different numbers, but instead of 0-7, they are -1-6.  If you don't understand this explanation, simply bypass the Sample-1 expression and go straight into the select input of the Demux node.  Go back outside to the module's panel and press the Reset button, then press the rhythm button once.  You'll see that the first rhythm you enter will get stored in the 2nd sample's place instead of the 1st.",
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                            "text": "The Demux node routes the Rhythm button to each Sample & Hold node in turn.  The signal from the Rhythm button is both the trigger for the Sample & Hold nodes (i.e., the signal that flows through the Demux input) and it is also the signal that steps the counter, which is driving the select input of the Demux node.",
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                            "text": "Feedback delays are a part of computer programming.  Analog feedback loops work differently than digitally processed feedback loops like this one.  In computer programming, you need to set a feedback delay in a feedback loop because a value cannot be processed before it is created - that would be time travel!  If you do not assign a feedback delay point with a Feedback Delay node, Audulus will pick a spot for you.  Often, where the feedback delay happens does not affect the feedback loop.  However, this loop needs the delay to happen at a particular point to function correctly.  This Feedback Delay node needs to be in this position - between the output of the Sample & Hold node and the input of the CurrentNumber variable for the Reset button to work correctly.  When the Reset button is pushed, it triggers the Sample & Hold and it also flips the Crossfade node to input B from input A.  With nothing attached, input B has a value of zero.  We want the Sample & Hold node to sample this zero value to return the Demux node's select value back to 0 (really, -1 after the Sample-1 expression).  If the feedback delay occurs between the output of the counter expression and the input of A, the Sample & Hold node will not \"see\" B's zero value - it will sample instead from A's input.  Adding the Feedback delay between the Sample & Hold node and the CurrentNumber expression fixes this.  If this is all too confusing to you - don't worry.  If you have a feedback loop and everything's working fine, but you close and then reopen the program and it seems broken - you don't need to understand how or why a Feedback Delay node needs to be in a particular place.  Just try sticking it between each connection in the feedback loop until it works correctly.",
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                            "text": "This is a counter expression.  It translates to \"If the CurrentNumber input is less than the MaxNumber input, then add 1 to the current number.  If you tie the end output of this expression back to the CurrentNumber input and stick a Value node on its output, you will see the expression cycle from 0-7 rapidly.  What stops this from happening here is the Sample and Hold node that exists within the feedback loop.  Compare the output of the expression to the output of the Sample & Hold node.  You'll see that the next value is \"waiting\" at the Sample & Hold node's input.  However, nothing will pass from the Sample & Hold's input to its output unless its trigger is pulsed.  This is what keeps the feedback loop from running away with itself.",
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                            "id": "a1675c66-8936-4635-9d15-d5d7db0c1a74",
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                            "text": "This counter works in the same manner as the counter described above, but its function is different.  Rather than driving the select input of the Demux node, this counter turns on each individual sample as it is programmed into the loop.  If this weren't here, when you first open up the patch you would get 8 pulses in unison every time the self-resetting clock returned to 0.  You can tell this is happening because all of the red lights go off in unison when the patch is first opened.  With this counter in place, only the samples you've programmed will pass.  Once you've programmed all 8 samples, continuing to push the Rhythm button will simply overwrite the samples, wrapping back around to 1 and starting again.  However, when you hit the Reset button, this counter is knocked back down to 1, again turning off the 8 steps.  The MaxNumber variable is set to a high number that will never be reached in any performance.  If it wasn't set to such a high number - say, 100 instead, it is feasable that you could press the Reset button 101 times and accidentally turn off all your samples at once.  At one short of a billion, if you pushed the Rhythm button once a second, it would take you 31 years of 24/7 button pushing to wrap back around to 0.",
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                        {
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                            "text": "This is a reversed via - you can tell because the red input is on the right and the blue output is on the left.  These are especially useful for routing signals backwards in a patch for feedback loops.  Otherwise, things can look pretty messy.",
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                        {
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                            "id": "7c3b51c4-48f7-428e-8270-548561deec51",
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                            "text": "This is a Via Tab - there are a few of these in this patch.  They are a way of clarifying connections in a patch.  If you look inside, you'll see that it's just an input and an output wired together.",
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                        {
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                            "id": "7dabb647-3050-4b21-b24f-9f3c8d0b6c39",
                            "position": {
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                            "text": "This series of expressions checks to see if each sample contains a non-zero number.  If it does, it sends a signal of 0.35 to the blue input of the RGB nodes.  They indicate when a sample has been captured.  It's very unlikely that any given button press will land exactly on 0, so you're pretty much guaranteed that a press of the Rhythm button will result in a non-zero positive number.  When you hit the Reset button, the lights turn off, indicated that the Sample & Hold nodes have been cleared out.",
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                        {
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                            "id": "fd4d8377-c126-413a-a666-dd4acdb0341f",
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                            "text": "This is the Reset button.  This button clears out each Sample & Hold and also turns off every sample.  The Sample & Hold nodes are cleared the same way the counters are: a simultaneous trigger signal and a crossfade switch to 0.",
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                        },
                        {
                            "type": "Text",
                            "id": "a5bbf7e7-0484-476c-9c1f-87f06fd490a7",
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                            "text": "These Crossfade nodes zero out the Sample & Hold nodes when the Reset button is pressed.",
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                        {
                            "type": "Text",
                            "id": "71704758-2f8c-45e7-be05-b05f0f986331",
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                            "text": "These expressions combine the Reset and Rhythm pulses and feed them both to the Trigger inputs of the Sample & Hold nodes.  There needs to be 8 of them because although there is only one output that feeds all of the expressions for the Reset signal, the Demuxed Rhythm signals need to be kept separate.",
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                        {
                            "type": "Text",
                            "id": "ca880704-e1fb-453c-827a-0fd4b68602d5",
                            "position": {
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                            "text": "Whenever a signal like this is fed straight up into a line of inputs, it is to provide clarity to the patch.  If the the other inputs are coming from another direction, it's easy to tell which inputs they are connected to, even though they are overlapping.",
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                        {
                            "type": "Text",
                            "id": "0495d471-f288-4782-8a19-03cc421c92bf",
                            "position": {
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                            "text": "These expressions check if the sampled time equals the current time from the Timer node.  If they do equal one another, a pulse is generated and sent to the output.",
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                            "text": "When these Sample & Hold nodes are triggered by the Rhythm button, they sample the current time fed to them by the Timer node.",
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                            "id": "f819e04a-b1b9-44de-8ee4-efb27f5599a4",
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                            "text": "Above are a series of switches driven by logic expressions.  Until each logic expression is satisfied, they act like a 0.  When the incoming signal is multiplied by the 0, it is as if the switch is open (off).  When the logic expression is satisfied, it turns into a one.  Any signal multiplied by 1 is just the signal itself, and so it passes unaltered.",
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                            "text": "This expression sums all of the pulses down to one output.",
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                            "text": "This is the module's output.  The output is a pulse suitable for triggering the attack-decay cycle of an envelope.  The term \"pulse\" in Audulus is like a short gate which has no significant on-time.  In fact, because the signal is on for such a brief period, the Light node of this module may not illuminate consistently, even if the pulse is being sent out.",
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                            "text": "This expression checks if the output of the (Seconds-Timer)/Seconds is exactly equal to 1.  When it is, it resets the Timer node to its right.  The Timer node is then inverted using the 1+(Timer*-1) expression so that the light flashes instantly and fades out over the course of 1 second.",
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                            "text": "This light indicates that the self-resetting timer has returned to 0 - the start of the loop.",
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                            "text": "These expressions check if the (Seconds-Timer)/Seconds expression is in between these 1/8th steps and turns on each of the 8 lights one by one as the loop goes from start to finish.  When their logic expression is satisfied, they pulse the Timer node to their right.  The 1+(Timer*-6) expression inverts the action of the Timer node, starting at 1 and quickly descending to 0.  Higher numbers like *-10 or *-20 would make the light fade even faster.  Smaller numbers like *-1 or *-.5 would fade slower.",
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                            "text": "These RGB nodes give visual feedback for 3 pieces of information created by the module.  The green light indicates the relative loop time from start to finish.  The blue light indicates that a sample has been taken.  The red light flashes when the sample and the timer match up (creating a pulse).  This is *not* an 8 step sequencer, however.  Samples can appear to be played \"out of order.\"  In other words, the green light is not the \"current step\" indicator.  Samples are loaded into each Sample and Hold node, but their timing is independent of their light's position.  This allows you to set up a rhythm and then add a beat within the rhythm later, even though it appears to be the \"next\" beat.",
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                            "text": "The Random node is our noise source.  It outputs values between 0-1.  The DCBlocker node turns the 0-1 output into a -.5 to +.5 output.  Alternating signals are more suitable for audio because they drive the speaker through its full back and forth swing.",
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                            "text": "This is the Noise node's filter.  The noise node has an equal distribution of all frequencies.  You can think of it as an oscillator that is simultaneously tuned to every note between 0 and 20,000Hz.  However, because of the way that our hearing works, we perceive this equal distribution of frequencies to have more high-end than low.  This low-pass filter allows you to sculpt the response of the noise not only by taming the high frequencies, but also by using the resonance to emphasize a particular frequency band.  This allows you to tune the initial \"thwack\" sound of the drum, simulating hits with sticks of various materials, hands, or even felt heads.",
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                            "text": "The Nze or Noise control is connected to the decay knob of an Envelope node through an expression node that limits the knob's 0-1 range to 0-0.1.  This means that at most, one-tenth of a second of noise will pass through to the resonant filter.  Any more than that and the drum sounds less \"real.\"  A large part of creating versatile modules is actually tuning and limiting the number of front-panel choices.  Also note: although you can change the range of the knob directly without an expression node, if you leave all of your knobs at the default 0-1 range, they are easily modulated by LFOs, envelopes, and other control signals.  If all of your knobs have different values, every time you want to modulate a knob, you'll have to do translational math.  If you make your modules this way, the translational math is already inside the module.",
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                            "text": "This is the Gate input of the module.  It uses a light node to illuminate the incoming signal.  Because the Envelope node has no sustain, the length of the gate's on period (when it is high, or any-non-zero positive number) does not affect the sound of the drum.  When the gate signal goes from low to high, this triggers the Envelope node to run through its attack-decay times.  Because this module uses a resonant filter after the envelope, the actual decay of the module is longer than the combined attack and decay times.",
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                            "text": "This is the Resonance control of the self-oscillating filter.  A filter self-oscillates when its resonance is set very high.  You can think of a self-oscillating filter like a tuning fork.  When nothing is attached to the input, it is at rest.  The noise burst generated by the Envelope and Random nodes is like striking the tuning fork.  The settings of the Random node's filter are the type of material you strike the tuning fork against (metal, wood, palm of your hand, etc.).  Analog self-oscillating filters do not need this burst of noise because there is already enough latent noise in the circuit to drive the oscillation.  In an analog resonant drum, typically the envelope would go after the resonant filter.  The Res knob is tuned to work between 0.89 and 0.99.  First multiplying it by 0.1 shrinks its range to 0-0.1.  Adding .89 translates this range to .89 to .99.  Increasing the Res knob will result in a longer decay of tone (whereas the noise decay is set by the Envelope node).  The Resonance can't be increased to 1 because it would constantly self-oscillate.",
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                            "text": "This is the soft-clipping overdrive section of the drum.  It adds distortion by pushing the signal through a hyper tangent function.  The signal can be multiplied a whopping 51x without a 51x increase in volume.  This is because as the incoming signal is pushed towards the -1 to 1 limit, it is compressed or squeezed along this limit.  This simulates stiking the drum head with more energy.  Drum heads have a limit to how far they can move in either direction.  The harder you hit the drum, the more it will vibrate, but the relationship between the power you hit the drum with and how far the head moves is not linear - it is logarithmic.  This is analogous to how transistors and tubes overdrive.  In a sense, transistors are electrical \"drum heads.\"  They have a range of normal operation, a range of distortion, and a range of failure.  Just as you can hit a drum head too hard and punch through it, so you can blow up a transistor by sending it too much voltage.  However, because Audulus is digital, there is no way to \"break\" this expression.  You can increase the gain factor from 50 to 500 and all you'll get is more distortion.  The extra +1 outside of ((Gain*50)+1) is there becuase if it weren't, when you turned the OD knob all the way down, the volume would also turn all the way down.  Thus, the range of the gain stage here is between 1x-51x.",
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                            "text": "This Rct Module is a positive and negative half-wave rectifier meant for controlling output lights.  This splits the incoming alternating signal into its positive and negative components.  The positive side is attached to the R input of the RGB node and the negative is attached to the B input.  This turns the light into a pulsating purple color.  The light is situated at the output of the module to give the indication that it is an audio output.  Note: This Rct module was created only to control lights - it is not a \"true\" rectifier because it is interally tuned to make the lights flash brighter.",
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                            "text": "This Input*.7 expression is here to decrease the volume after the overdrive expression.  Although the limit of signals in Audulus is -1 to 1, it's usually a good idea to keep them closer to -0.5 to 0.5 to give you some headroom when mixing the signals together.  If every module outputs a -1 to 1 signal, serious attenuation will be needed before the audio output stage.",
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                            "text": "The EnvFollow, or Envelope Follower node is here to convert the incoming audio signal into a usable control signal.  Unlike the Rct module controlling the RGB node, the EnvFollow node is a full-wave rectifier, meaning the positive half of the wave stays positive while the negative half is inverted into the positive range (instead of clipped off).  This signal is then fed to the output in the middle of the front panel, and is meant to be fedback to any of the panel's 3 knobs.  The most natural connection would be to the Res input.  If you create a feedback loop between the outgoing amplitude and the Res control, the self-oscillating filter decays in a sharply non-linear manner.  This is similar to how real drum heads resonate and decay.  Feeding this output to the OD knob will result in random spikes of emphasis that correspond to the drum being hit softer or harder.  The OD connection pairs well with the Nze feedback connection because the harder something is hit, the more intense the initial noise burst is.",
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                            "text": "This tutorial demonstrates the principles of synthesizing a resonant drum head.  With this module, you can make bass drum, kick, snare, tom, timpani, conga, bongo, woodblock, and triangle sounds.  The principles demonstrated here can be cascaded to include more resonators (self-oscillating filters) that are detuned from one another to create a more lively and complex drum sound.  However, this simple design is still very powerful.  The front panel controls can be externally modulated or self-modulated by an envelope follower.  The sound of the drum is changed by tuning the resonant filter and the noise impulse filter.  There are no knob controls for these - instead, click or tap and drag on the small green circle at the resonant peak cutoff point.",
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                            "text": "The Random node is our noise source.  It outputs values between 0-1.  The DCBlocker node turns the 0-1 output into a -.5 to +.5 output.  Alternating signals are more suitable for audio because they drive the speaker through its full back and forth swing.",
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                            "text": "This is the Noise node's filter.  The noise node has an equal distribution of all frequencies.  You can think of it as an oscillator that is simultaneously tuned to every note between 0 and 20,000Hz.  However, because of the way that our hearing works, we perceive this equal distribution of frequencies to have more high-end than low.  This low-pass filter allows you to sculpt the response of the noise not only by taming the high frequencies, but also by using the resonance to emphasize a particular frequency band.  This allows you to tune the initial \"thwack\" sound of the drum, simulating hits with sticks of various materials, hands, or even felt heads.",
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                            "text": "The Nze or Noise control is connected to the decay knob of an Envelope node through an expression node that limits the knob's 0-1 range to 0-0.1.  This means that at most, one-tenth of a second of noise will pass through to the resonant filter.  Any more than that and the drum sounds less \"real.\"  A large part of creating versatile modules is actually tuning and limiting the number of front-panel choices.  Also note: although you can change the range of the knob directly without an expression node, if you leave all of your knobs at the default 0-1 range, they are easily modulated by LFOs, envelopes, and other control signals.  If all of your knobs have different values, every time you want to modulate a knob, you'll have to do translational math.  If you make your modules this way, the translational math is already inside the module.",
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                            "text": "This is the Gate input of the module.  It uses a light node to illuminate the incoming signal.  Because the Envelope node has no sustain, the length of the gate's on period (when it is high, or any-non-zero positive number) does not affect the sound of the drum.  When the gate signal goes from low to high, this triggers the Envelope node to run through its attack-decay times.  Because this module uses a resonant filter after the envelope, the actual decay of the module is longer than the combined attack and decay times.",
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                            "text": "This is the Resonance control of the self-oscillating filter.  A filter self-oscillates when its resonance is set very high.  You can think of a self-oscillating filter like a tuning fork.  When nothing is attached to the input, it is at rest.  The noise burst generated by the Envelope and Random nodes is like striking the tuning fork.  The settings of the Random node's filter are the type of material you strike the tuning fork against (metal, wood, palm of your hand, etc.).  Analog self-oscillating filters do not need this burst of noise because there is already enough latent noise in the circuit to drive the oscillation.  In an analog resonant drum, typically the envelope would go after the resonant filter.  The Res knob is tuned to work between 0.89 and 0.99.  First multiplying it by 0.1 shrinks its range to 0-0.1.  Adding .89 translates this range to .89 to .99.  Increasing the Res knob will result in a longer decay of tone (whereas the noise decay is set by the Envelope node).  The Resonance can't be increased to 1 because it would constantly self-oscillate.",
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                            "text": "This is the soft-clipping overdrive section of the drum.  It adds distortion by pushing the signal through a hyper tangent function.  The signal can be multiplied a whopping 51x without a 51x increase in volume.  This is because as the incoming signal is pushed towards the -1 to 1 limit, it is compressed or squeezed along this limit.  This simulates stiking the drum head with more energy.  Drum heads have a limit to how far they can move in either direction.  The harder you hit the drum, the more it will vibrate, but the relationship between the power you hit the drum with and how far the head moves is not linear - it is logarithmic.  This is analogous to how transistors and tubes overdrive.  In a sense, transistors are electrical \"drum heads.\"  They have a range of normal operation, a range of distortion, and a range of failure.  Just as you can hit a drum head too hard and punch through it, so you can blow up a transistor by sending it too much voltage.  However, because Audulus is digital, there is no way to \"break\" this expression.  You can increase the gain factor from 50 to 500 and all you'll get is more distortion.  The extra +1 outside of ((Gain*50)+1) is there becuase if it weren't, when you turned the OD knob all the way down, the volume would also turn all the way down.  Thus, the range of the gain stage here is between 1x-51x.",
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                            "text": "This Rct Module is a positive and negative half-wave rectifier meant for controlling output lights.  This splits the incoming alternating signal into its positive and negative components.  The positive side is attached to the R input of the RGB node and the negative is attached to the B input.  This turns the light into a pulsating purple color.  The light is situated at the output of the module to give the indication that it is an audio output.  Note: This Rct module was created only to control lights - it is not a \"true\" rectifier because it is interally tuned to make the lights flash brighter.",
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                            "text": "This Input*.7 expression is here to decrease the volume after the overdrive expression.  Although the limit of signals in Audulus is -1 to 1, it's usually a good idea to keep them closer to -0.5 to 0.5 to give you some headroom when mixing the signals together.  If every module outputs a -1 to 1 signal, serious attenuation will be needed before the audio output stage.",
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                            "text": "The EnvFollow, or Envelope Follower node is here to convert the incoming audio signal into a usable control signal.  Unlike the Rct module controlling the RGB node, the EnvFollow node is a full-wave rectifier, meaning the positive half of the wave stays positive while the negative half is inverted into the positive range (instead of clipped off).  This signal is then fed to the output in the middle of the front panel, and is meant to be fedback to any of the panel's 3 knobs.  The most natural connection would be to the Res input.  If you create a feedback loop between the outgoing amplitude and the Res control, the self-oscillating filter decays in a sharply non-linear manner.  This is similar to how real drum heads resonate and decay.  Feeding this output to the OD knob will result in random spikes of emphasis that correspond to the drum being hit softer or harder.  The OD connection pairs well with the Nze feedback connection because the harder something is hit, the more intense the initial noise burst is.",
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                            "text": "This tutorial demonstrates the principles of synthesizing a resonant drum head.  With this module, you can make bass drum, kick, snare, tom, timpani, conga, bongo, woodblock, and triangle sounds.  The principles demonstrated here can be cascaded to include more resonators (self-oscillating filters) that are detuned from one another to create a more lively and complex drum sound.  However, this simple design is still very powerful.  The front panel controls can be externally modulated or self-modulated by an envelope follower.  The sound of the drum is changed by tuning the resonant filter and the noise impulse filter.  There are no knob controls for these - instead, click or tap and drag on the small green circle at the resonant peak cutoff point.",
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                        {
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                            "output": 1,
                            "to": "cab12e44-20e4-4011-98e2-518092070c13",
                            "input": 2
                        }
                    ]
                }
            },
            {
                "type": "Add",
                "id": "0dcca66e-9eee-404b-8506-c31e9c847d64",
                "position": {
                    "x": 2446.155029296875,
                    "y": -749.0684204101563
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            },
            {
                "type": "Patch",
                "id": "91bb7505-0c57-42ac-9778-852395f7a90c",
                "position": {
                    "x": 2524.66015625,
                    "y": -745.7720947265625
                },
                "subPatch": {
                    "id": "3464b536-8a03-4b8e-b1be-cb03d83b6393",
                    "pan": {
                        "x": -89.72293090820313,
                        "y": 7.4832305908203129
                    },
                    "zoom": 0.8740161061286926,
                    "nodes": [
                        {
                            "type": "Text",
                            "id": "38a31e2e-f9cc-4fa8-ac33-58cd64685c50",
                            "position": {
                                "x": 151.29103088378907,
                                "y": -303.263427734375
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                            "text": "This is identical to the above - replicated so that each channel can have an independent peak detector.",
                            "width": 260.88702392578127
                        },
                        {
                            "type": "Expr",
                            "id": "51a92d0c-7ff1-4894-bfc5-8ab3706681bf",
                            "position": {
                                "x": 296.8507080078125,
                                "y": -271.510986328125
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                            "expr": "1+(Timer*-1)"
                        },
                        {
                            "type": "Timer",
                            "id": "0e7b7114-2052-4797-9c6e-06dd0b44cc47",
                            "position": {
                                "x": 201.22621154785157,
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                        {
                            "type": "Text",
                            "id": "8b9c84ee-2f58-41c3-baf1-ad62c405c34d",
                            "position": {
                                "x": 44.16444396972656,
                                "y": 87.06770324707031
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                            "text": "\"If the channel peaks, reset the timer.\"",
                            "width": 174.1399688720703
                        },
                        {
                            "type": "Mapper",
                            "id": "7c22a70f-02ee-4a67-be92-0632e4e81010",
                            "position": {
                                "x": 518.4280395507813,
                                "y": -334.45074462890627
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                            "c0": 0.0,
                            "c1": 0.215412437915802,
                            "c2": 1.0
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                        {
                            "type": "Expr",
                            "id": "51e3ebf5-b762-4d85-ac1f-b030b390b628",
                            "position": {
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                            "expr": "Input>1"
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                        {
                            "type": "Text",
                            "id": "8a9d5179-2af3-46cb-9548-3471a2a08aa7",
                            "position": {
                                "x": 507.7491455078125,
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                            "text": "The mapper node takes the linear falling output from 1 to 0 and maps it to an exponential decrease.  This makes the RGB Node behave more like hardware peak detectors, where a the capacitor that lights the LED discharges in an exponential fashion.",
                            "width": 260.88702392578127
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                        {
                            "type": "Text",
                            "id": "75f63135-4587-4a6d-9e3f-8621d68b0a41",
                            "position": {
                                "x": 36.24259948730469,
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                            "text": "Above is the name of the module, exposed on the front panel.",
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                        {
                            "type": "Text",
                            "id": "d0cc087f-dae1-4bc4-aff7-435d2ed6cbf8",
                            "position": {
                                "x": 138.4170379638672,
                                "y": -1.4205589294433594
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                            "text": "The timer begins at 0 and increases in value by seconds indefinitely unless it is reset.  The Timer is reset when it sees a non-zero positive value at its input.",
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                        {
                            "type": "Text",
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                            "text": "This expression takes the output of the Timer and inverts it by multiplying it by -1.  Instead of increasing, the Timer is now decreasing.  1+the inverted Timer output will begin at 1 and decrease.  The timer will continue to go into the negative until the timer is reset again but, because the RGB Node only responds to positive numbers between 0 and 1, this doesn't matter.",
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                        {
                            "type": "Input",
                            "id": "c6ab1c63-fa7a-4899-8026-18f5cf84428b",
                            "position": {
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                                "y": -35.27654266357422
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                            "name": "Right",
                            "exposedPosition": {
                                "x": 0.0,
                                "y": -15.0
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                        },
                        {
                            "type": "Mapper",
                            "id": "0d7560c7-68fc-4d38-b585-449d411a93f0",
                            "position": {
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                            "c0": 0.0,
                            "c1": 0.215412437915802,
                            "c2": 1.0
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                        {
                            "type": "Level",
                            "id": "ae221c64-8945-4cd0-b70a-3b068571dad8",
                            "position": {
                                "x": -485.9782409667969,
                                "y": -34.73657989501953
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                            "level": {
                                "value": 0.5,
                                "min": 0.0,
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                        },
                        {
                            "type": "Text",
                            "id": "4cc9ed06-494c-4268-bc64-09891efa9638",
                            "position": {
                                "x": -888.352294921875,
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                            "text": "These are the Left and Right inputs.  They are exposed on the front panel.",
                            "width": 153.90687561035157
                        },
                        {
                            "type": "Text",
                            "id": "0cd6fe80-c587-4fca-a155-7eb9a63d241a",
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                            "exposedPosition": {
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                                "y": 175.0
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                            "text": "Audio Out",
                            "width": 256.0
                        },
                        {
                            "type": "Level",
                            "id": "72d32064-b9d4-44cf-aa5c-0e1f6c1bf78a",
                            "position": {
                                "x": -485.7058410644531,
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                            "level": {
                                "value": 0.5,
                                "min": 0.0,
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                        },
                        {
                            "type": "Timer",
                            "id": "bbefbaea-2d6e-4fc0-bc74-4182edb25fd4",
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                        },
                        {
                            "type": "Knob",
                            "id": "c8caac9e-364f-4f66-8d68-6b365a0cd0aa",
                            "position": {
                                "x": -474.1475830078125,
                                "y": 60.910335540771487
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                            "name": "Volume",
                            "knob": {
                                "value": 0.5,
                                "min": 0.0,
                                "max": 1.0
                            },
                            "exposedPosition": {
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                                "y": 135.0
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                        },
                        {
                            "type": "Input",
                            "id": "f14eeb0d-ed52-433d-bf25-8099f0fc6db7",
                            "position": {
                                "x": -741.66552734375,
                                "y": -79.4913558959961
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                            "name": "Left",
                            "exposedPosition": {
                                "x": 0.0,
                                "y": 10.0
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                        },
                        {
                            "type": "Text",
                            "id": "03285b9a-8ce6-44da-a82d-bc6114a1086a",
                            "position": {
                                "x": -573.8316650390625,
                                "y": 159.0553436279297
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                            "text": "This knob is on the front panel of the module.  It is connected to two individual level nodes that feed the left and right channels of the Speaker node.",
                            "width": 277.1890869140625
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                        {
                            "type": "Expr",
                            "id": "ca317ea0-c2f3-4412-a32b-dcd582d5ff95",
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                            "expr": "1+(Timer*-1)"
                        },
                        {
                            "type": "Text",
                            "id": "3f27a618-3716-4892-bf05-0261b922a037",
                            "position": {
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                                "y": 22.312236785888673
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                            "text": "This is the peak detector light for the Right channel - it is exposed on the front panel inside the boundary of the Right input.",
                            "width": 260.88702392578127
                        },
                        {
                            "type": "Expr",
                            "id": "f425fc12-d44c-4d1b-82b3-bc77d16cce20",
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                                "x": 22.200424194335939,
                                "y": 17.749324798583986
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                            "expr": "Input>1"
                        },
                        {
                            "type": "Speaker",
                            "id": "f4e45f14-1dbd-47bb-b5e8-e468b1149a2f",
                            "position": {
                                "x": 23.747024536132814,
                                "y": -57.37112808227539
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                        },
                        {
                            "type": "RGBLight",
                            "id": "24663265-01b9-456b-adad-d0060e3ef835",
                            "position": {
                                "x": 733.341064453125,
                                "y": -39.830753326416019
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                            "exposedPosition": {
                                "x": 0.0,
                                "y": -15.0
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                        },
                        {
                            "type": "RGBLight",
                            "id": "b05e1072-5948-4831-b60b-89ffba013798",
                            "position": {
                                "x": 735.661376953125,
                                "y": -329.79949951171877
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                            "exposedPosition": {
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                        {
                            "type": "Text",
                            "id": "f365af6a-815a-493e-83d3-bd7ac2387ff1",
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                            "text": "This is the Speaker node.  It is outputting to the Left and Right audio channels.  In the standalone version of Audulus, this output is your speakers or headphones.  When using Audulus with Audiobus, Aum, or DAWs, this audio output will continue in whatever chain of effects you have placed after it.",
                            "width": 248.6120147705078
                        },
                        {
                            "type": "Crossfade",
                            "id": "f6f169c8-8724-4701-a4ed-ec46a3803d02",
                            "position": {
                                "x": -133.414306640625,
                                "y": -18.892383575439454
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                        },
                        {
                            "type": "Crossfade",
                            "id": "f4515b09-9e10-4679-a14c-45dee0dd27f0",
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                        {
                            "type": "Expr",
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                            "expr": "tanh(Input*4)"
                        },
                        {
                            "type": "Knob",
                            "id": "3d7cc8ae-ffa5-4ea4-b28d-8b0c724f9ee7",
                            "position": {
                                "x": -169.04725646972657,
                                "y": 167.614013671875
                            },
                            "name": "Overdrive",
                            "knob": {
                                "value": 0.8278994560241699,
                                "min": 0.0,
                                "max": 1.0
                            },
                            "exposedPosition": {
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                        },
                        {
                            "type": "Text",
                            "id": "a2f38a1a-4c75-4b2d-941d-8822aa0da94c",
                            "position": {
                                "x": -240.9686279296875,
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                            "text": "This knob fades between the A input (no overdrive) and the B input (full overdrive) for both channels.",
                            "width": 231.60362243652345
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                        {
                            "type": "Text",
                            "id": "15a40e30-9c80-4266-b813-209b585ede53",
                            "position": {
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                            "text": "The tanh(x) expression is a simple soft clipping expression.  Soft clipping is a kind of distortion that is similiar to transistor overdrive or tape saturation.  As values approach +1 or -1, they are squeezed along the hypertangent, meaning they get close to but never actually reach 1 or -1.  If they never reach (or go past) those values, they do no cause hard clipping distortion, which is when values exceed the -1 to +1 output range of Audulus (or exceed 0dB on your output meter).  The tanh(x) soft clipping expression sounds very natural, especially for being such a simple expression.  Its input is multiplied by 2 so that the distortion effect is more pronounced.  Feel free to change this to another value - even *10 sounds great.",
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                        {
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                            "id": "98e42955-615f-42a6-806b-825e56fe7c7c",
                            "position": {
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                            "expr": "tanh(Input*4)"
                        },
                        {
                            "type": "Text",
                            "id": "88aebbb2-26c4-47a4-9e91-8be2916839bd",
                            "position": {
                                "x": 837.1002807617188,
                                "y": -255.9042510986328
                            },
                            "text": "This is the peak detector light for the Left channel - it is exposed on the front panel inside the boundary of the Left input.",
                            "width": 260.88702392578127
                        },
                        {
                            "type": "DCBlocker",
                            "id": "ed020276-778a-4fd7-94e1-811d22e8a576",
                            "position": {
                                "x": -626.2886962890625,
                                "y": -35.95822525024414
                            }
                        },
                        {
                            "type": "DCBlocker",
                            "id": "70f0f8e7-58d6-4837-89c2-04e820b6409f",
                            "position": {
                                "x": -626.3197021484375,
                                "y": -78.63609313964844
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                        },
                        {
                            "type": "Text",
                            "id": "a549b1a0-339e-461f-a26f-f84ff064e07c",
                            "position": {
                                "x": -629.20849609375,
                                "y": -107.51748657226563
                            },
                            "text": "The DC Blocker node prevents any DC-offset audio from passing through to the Speaker node.  If the speaker is fed a DC signal, the speaker is only being driven through half of its full cycle.  This can result in distortion, especially when mixing direct and alternating signals.",
                            "width": 153.90687561035157
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                    ],
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