Testing out approach to allow list patterns in partials

packages/core/controls.mjs

@@ -2583,31 +2583,3 @@ export const scrub = register(
   },
   false,
 );
-
-/**
- * Scale the magnitude of the harmonics of one of the core synths ('sine', 'tri', 'saw', ..)
- *
- * Can also be used to create a new synth via `s('user').partials(...)`
- *
- * @name partials
- * @param {number[] | Pattern} partials List of [0, 1] magnitudes for partials. 0th entry is the first harmonic (i.e. DC offset is skipped)
- * @example
- * s("user").seg(16).n(irand(8)).scale("A:major")
- *   .partials([1, 0, 1, 0, 0, 1])
- * @example
- * s("saw").seg(8).n(irand(12)).scale("G#:minor")
- *   .partials(binaryL(256))
- */
-export const { partials } = registerControl('partials');
-
-/**
- * Rotates the harmonics of one of the core synths ('sine', 'tri', 'saw', 'user', ..) by a list of phases
- *
- * @name phases
- * @param {number[] | Pattern} phases List of [0, 1) phases for partials. 0th entry is the first phase (i.e. DC offset is skipped)
- * @example
- * s("saw").seg(8).n(irand(12)).scale("G#:minor")
- *   .partials(binaryL(256))
- *   .phases(randL(20))
- */
-export const { phases } = registerControl('phases');

packages/core/pattern.mjs

@@ -3624,3 +3624,54 @@ for (const name of distAlgoNames) {
     return this.distort(argsPat);
   };
 }
+
+/**
+ * Turns a list of patterns into a single pattern which outputs list-values
+ *
+ * @name parray
+ * @returns Pattern
+ */
+export const parray = (pats) => {
+  const pack = (...xs) => xs;
+  let acc = pure(curry(pack, null, pats.length));
+  for (const p of pats) acc = acc.appBoth(reify(p));
+  return acc;
+};
+
+/**
+ * Scale the magnitude of the harmonics of one of the core synths ('sine', 'tri', 'saw', ..)
+ *
+ * Can also be used to create a new synth via `s('user').partials(...)`
+ *
+ * @name partials
+ * @param {number[] | Pattern} partials List of [0, 1] magnitudes for partials. 0th entry is the first harmonic (i.e. DC offset is skipped)
+ * @example
+ * s("user").seg(16).n(irand(8)).scale("A:major")
+ *   .partials([1, 0, 1, 0, 0, 1])
+ * @example
+ * s("saw").seg(8).n(irand(12)).scale("G#:minor")
+ *   .partials(binaryL(256))
+ */
+export const { partials } = register('partials', (list, pat) => {
+  if (Array.isArray(list)) {
+    list = parray(list);
+  }
+  return pat.withValue((v) => ({...v, partials: list}));
+});
+
+/**
+ * Rotates the harmonics of one of the core synths ('sine', 'tri', 'saw', 'user', ..) by a list of phases
+ *
+ * @name phases
+ * @param {number[] | Pattern} phases List of [0, 1) phases for partials. 0th entry is the first phase (i.e. DC offset is skipped)
+ * @example
+ * s("saw").seg(8).n(irand(12)).scale("G#:minor")
+ *   .partials(binaryL(256))
+ *   .phases(randL(20))
+ */
+export const { phases } = register('phases', (list, pat) => {
+  if (Array.isArray(list)) {
+    list = parray(list);
+  }
+  return pat.withValue((v) => ({...v, phases: list}));
+});

website/src/pages/learn/synths.mdx

@@ -48,28 +48,71 @@ You can also use the `crackle` type to play some subtle noise crackles. You can
 
 ### Additive Synthesis
 
-To tame the harsh sound of the basic waveforms, we can set the `n` control to limit the overtones of the waveform:
+Waveforms are often composed of several [harmonics](https://en.wikipedia.org/wiki/Harmonic) above a fundamental frequency, lying at integer multiples. These overtones combine to give a sound its unique timbral quality.
+
+For the basic waveforms, we offer you control over these harmonics with the `partials` and `phases` functions.
+
+#### Partials
+
+`partials` refers to the magnitude of each harmonic relative to the fundamental frequency. They can thus be used to spectrally filter these waveforms and tame some of their harshness:
 
 <MiniRepl
   client:idle
   tune={`note("c2 <eb2 <g2 g1>>".fast(2))
 .sound("sawtooth")
-.n("<32 16 8 4>")
+.partials([1, 1, 0, 1])
 ._scope()`}
 />
 
-When the `n` control is used on a basic waveform, it defines the number of harmonic partials the sound is getting.
+`partials` can also be used to construct _new_ waveforms not present in our basic set with the 'user' sound source:
-You can also set `n` directly in mini notation with `sound`:
 
 <MiniRepl
   client:idle
   tune={`note("c2 <eb2 <g2 g1>>".fast(2))
-.sound("sawtooth:<32 16 8 4>")
+.sound("user")
+.partials([1, 0, 0.3, 0, 0.1, 0, 0, 0.3])
 ._scope()`}
 />
 
-Note for tidal users: `n` in tidal is synonymous to `note` for synths only.
+We may algorithmically construct lists of partials with Javascript code like:
-In strudel, this is not the case, where `n` will always change timbre, be it though different samples or different waveforms.
+
+<MiniRepl
+  client:idle
+  tune={`const numHarmonics = 22;
+note("c2 <eb2 <g2 g1>>".fast(2))
+.sound("user")
+.partials(new Array(numHarmonics).fill(1))
+._scope()`}
+/>
+
+This approach can act as a form of bandlimiting. `partials` is also compatible with pattern functions designed to produce lists, like `randL` or `binaryL`:
+
+<MiniRepl
+  client:idle
+  tune={`const numHarmonics = 22;
+note("c2 <eb2 <g2 g1>>".fast(2))
+.sound("user")
+.partials(randL(8))
+._scope()`}
+/>
+
+Note that the first value in the `partials` array controls the magnitude of the fundamental harmonic rather than the DC offset, which is fixed at 0.
+
+#### Phases
+
+We mentioned that our sounds can be broken into a constituent set of harmonics above a fundamental frequency. These are defined by two values: their magnitude (how loud they are) and their [phase](https://en.wikipedia.org/wiki/Phase_(waves)), which can be thought of as which point in its cycle each sine wave is initialized at when we begin adding them.
+
+These phases too can be declared in Strudel and can give your sounds interesting depth.
+
+<MiniRepl
+  client:idle
+  tune={`const numHarmonics = 22;
+note("c2 <eb2 <g2 g1>>".fast(2))
+.sound("user")
+.partials(randL(8))
+.phases(randL(8).late(0.3))
+._scope()`}
+/>
 
 ## Vibrato