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The top two knobs control the speed of the LFO and how wide the modulation sweeps (which amounts to a kind of cutoff). \n\nThe skew control morphs the sine wave into a sine-like saw wave and the feedback knob adjusts how much feedback there is within the delay lines (creating a deeper richer effect). \n\nThe stage control adjusts how many delay stages the audio runs through from 1 stage to 6 stages. The more stages the audio runs through the deeper the sound, but each has its own kind of unique sound to it. 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     Description\n\nThe Averaging Tap Tempo module issues clock pulses based on the timing of taps coming in at the “^tap” input. Output tempo is multiplied from 1x to 16x from input tap tempo, set by the “beats per tap” control, to allow tapping out a rhythm based on measures instead of single beats, if desired. A smooth tempo change feature allows a major tempo change to occur slowly, over a specific time period. A reset button with two long-press thresholds sets whether to perform a smooth tempo change or a full reset.\n\n2.     Averaging Method\n\nThis tap tempo module outputs a pulse rate based on an N-sample weighted moving average of user entered taps. An average is computed by summing tap periods, with each subsequent beat period contributing to the sum contributing 1/N to the average.\n\n*(A simple N-sample rolling average would store N samples in a stack, pushing the oldest sample off the stack to make room for a new one. For a simple moving average, all samples have equal weight.  The weighted moving average puts more emphasis on the newest sample, and accomplishes this using only one storage element to store the sum.)\n\n    For sample n where n<N, \nnewAverage = (sample_n + oldAverage*(n-1))/n \t\n\nOnce the target number of taps has been reached, each subsequent in-tolerance pair of taps will be added to update the rolling average:    \n \n     for sample n where n>=N,\nnewAverage = (sample_n + oldAverage*(N-1))/N \n\n\n3.     Tap-to-Tap Tolerance\n\nTo allow one to add new taps to the average at an arbitrary time, some method was necessary to set an allowable range of tap-to-tap intervals, while allowing flexibility in initially setting a tempo. This is accomplished by allowing a large margin initially, gradually tightening the tolerance as the initial N-sample average is built.\n\nTolerance is tightened by scaling along an S-curve based on the classic exponential growth (aka “Logistic” growth curve). The advantage of this curve over a sinusoid is that the maximum slope (seen at the center point) can be specified directly, which turned out to be importent when implementing the smooth tempo change feature (below).\n\n Final tolerance is reached when the number of samples has hit the target (5 samples currently).\n\t\nNo taps are lost. Any tap that establishes the end of one measured interval becomes the start of the next interval. A tap that comes in too early or too late to be counted as a valid interval measurement still starts a new interval measurement. Three consecutive taps will generate two valid samples if the interval between the taps is within the current tolerance.\n\nAn RGB light flashes green for samples within tolerance, red for a tap too late, and blue for samples too soon.\n\n4.     Smooth Tempo Change Feature\n\nMinor updates to tempo can always be made by adding taps to update the average. To make large tampo changes smoothly without interrupting the output, a “new target” mode was added. You enter New Target mode by pressing and holding the Reset button for one second. (hold 3 seconds to reset fully, interrupting the output.)\n\nA smooth tempo change is executed by stepping through an S-curve made using the cosine function, run over a half-cycle. The cosine was chosen because it begins and ends with slope exactly equal to zero, which makes for a smooth transition to the final value, and allows a continuous splice if used as an LFO by cycling the count up and down \n\n    Tempo stepping function: \n     step(n) = 1-(  (1+ cos(pi*n/N)  \n\nWhere N is the number of steps over which to run the transformation.\n\nThe natural logarithms of the initial and target tempos are used as the inputs in this application and the exp function recreates the tempo at the output. This was done to allow each step to represent a proportional change, rather than an absolute change, giving a more balanced takeoff and landing.\n\n5.     Startup and Tempo Change Timing\n\nThe time interval over which the tempo is to be reached is set with the XTime knob. The time range can be set from 1 second to 184 seconds. Timing starts when the first new tap period has been established. For startup after a full reset, the initial tempo is calculated based on the XTime that was set, to give some arbitrary slow rate.\n\n\n","width":535.33148},{"type":"Text","id":"b403d819-cac8-4f6f-bfff-b5b5f089b432","position":{"x":-1223.09448,"y":-97.48612},"text":"Max number of samples for averaging. As more tap intervals come in, the new interval to be added is weighed to have 1/N of a say in the total. ","width":247.81458},{"type":"Text","id":"358c061c-850a-4ad2-9961-8edf0523a4cb","position":{"x":-1344.97266,"y":-166.47452},"text":"Tightest tolerance (percent)                     This is set to ignore stray taps and to allow adjustments to the current rate at an arbitrary time after the last  beat has been hit.","width":255.63281},{"type":"Text","id":"8cd8face-3419-4c93-bc05-5fcbda37006b","position":{"x":-1281.83459,"y":-229.95215},"text":"Loosest Tolerance, to allow capture of a wide range of new intervals when first establishing and average or when a new one is being set on the fly.","width":197.83301},{"type":"Text","id":"b47aa81a-0005-4c54-b417-663580b46eae","position":{"x":1258.7384,"y":426.79221},"text":"This determines whether the interval appearing is within the current tolerance and will be counted.","width":191.84753},{"type":"Text","id":"2715e354-9107-4227-813a-9db512ad2a75","position":{"x":1506.99683,"y":527.92035},"text":"The current sum is saved here","width":154.04492},{"type":"Text","id":"5feac02f-98b3-49ef-bddd-c4c35f682109","position":{"x":1305.57007,"y":733.31458},"text":"This patch computes the current running sum","width":85.01038},{"type":"Text","id":"d047aa82-ae80-49d1-b429-421618439704","position":{"x":-231.96838,"y":1242.13489},"text":"New Target Mode--You can set a new tempo target without stopping and restarting the output, instead changing the tempo over the number of beat-to-beat intervals set for the averager. This expression sends the appropriate value to the output section. If there's no old period, then we output whatever is presently coming form the averager. 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