looping samplers

In most situations, you'll want a more automated way than moving the mouse to specify wavetable read locations; for instance, you might want to be able to play a sample at a steady transposition; you might have several samples playing back at once (or other things requiring attention), you might want to switch quickly between samples or go to prearranged locations. In the next few examples we'll develop an automated looping sample reader, which, although only one of many possible approaches, is a powerful and often-used one.

Patches B05.sampler.loop.pd and B06.sampler.loop.smooth.pd show how to do this; B05.sampler.loop.pd in the simplest possible way and B06.sampler.loop.smooth.pd (pictured in Figure 2.14 part (a)) incorporating a second waveshape to envelope the sound as described in section 2.3. One new object class is introduced here:

Figure 2.15: (a) a looping sampler with a synchronized envelope (B06.sampler.loop.smooth.pd); (b) the same, but with a control for read location (B08.sampler.nodoppler.pd).

: Takes the cosine of $2\pi$ times the input signal (so that 0 to 1 makes a whole cycle.) Unlike the table reading classes in Pd, $\mathrm{cos}\sim$ handles wraparound so that there is no range limitation on its input.

In Figure 2.14 part (a), a $\mathrm{phasor}\sim$ supplies both indices into the wavetable (at right) and phases for a half-cosine-shaped envelope function at left. These two are multiplied, and the product is high-pass filtered and output. Reading the wavetable is straightforward; the phasor is multiplied by a ``chunk size" parameter, added to 1, and used as an index to $\mathrm{tabread4}\sim$. The chunk size parameter is multiplied by 441 to convert it from hundredths of a second to samples. This corresponds exactly to the block diagram shown in Figure 2.5, with a segment location of 1. (The segment location can't be 0 because 1 is the minimum index for which $\mathrm{tabread4}\sim$ works.)

The left-hand signal path in 2.14 part (a) corresponds to the enveloping wavetable lookup shown in Figure 2.7. Here the sawtooth wave is adjusted to the range (-1/4, 1/4) (by multiplying by 0.5 and then subtracting 0.25), and then sent to $\mathrm{cos}\sim$. This reads the cosine function in the range ($-\pi/2$, $\pi /2$), thus giving only the positive half of the waveform.

Part (b) of Figure 2.14 introduces a third parameter, the ``read point", which specifies where in the sample the loop is to start. (In part (a) we always started at the beginning.) The necessary change is simple enough: simply add the ``read point" control value, in samples, to the wavetable index and proceed as before. To avoid discontinuities in the index we smooth the read point value using $\mathrm{pack}$ and $\mathrm{line}\sim$ objects, just as we did in the first sampler example (Figure 2.14).

This introduces an important, though subtle, detail. The MOMENTARY TRANSPOSITION formula (section 2.2) predicts that, as long as the chunk size and read point aren't changing in time, the transposition is just the frequency times the chunk size (as always, using appropriate units; Hz. and seconds, for example, so that the product is dimensionless.) However, varying the chunk size and read point in time will affect the momentary transposition, often in very noticeable ways, as can be seen in patch B07.sampler.scratch.pd. Patch B08.sampler.nodoppler.pd (the one shown in the figure), shows one possible way of controlling this effect, while introducing a new object class:

: a sample and hold unit. (This will be familiar to analog synthesizer users, but with a digital twist.) This stores a single sample of the left-hand-side input and outputs it repeatedly, until caused by the right-hand-side input (also a digital audio signal, called the trigger) to overwrite the stored sample with a new one--again from the left-hand-side input. The unit acquires a new sample whenever the trigger's numerical value falls from one sample to the next. This is designed to be easy to pair with $\mathrm{phasor}\sim$ objects, to facilitate triggering on phase wraparounds.

Patch B08.sampler.nodoppler.pd uses two $\mathrm{samphold}\sim$ objects to update the values of the chunk size and read point, exactly when the $\mathrm{phasor}\sim$ wraps around, at which moments the cosine envelope is at zero so the effect of the instantaneous changes can't be heard. In this situation we can apply the simpler TRANSPOSITION FORMULA for looping wavetables to relate frequency, chunk size, and transposition. This is shown in patch B09.sampler.transpose.pd (not shown.)