doc: euclid

packages/core/euclid.mjs

@@ -17,10 +17,69 @@ const euclid = (pulses, steps, rotation = 0) => {
   return b;
 };
 
+/**
+ * Changes the structure of the pattern to form an euclidean rhythm.
+ * Euclidian rhythms are rhythms obtained using the greatest common divisor of two numbers.
+ * They were described in 2004 by Godfried Toussaint, a canadian computer scientist.
+ * Euclidian rhythms are really useful for computer/algorithmic music because they can accurately
+ * describe a large number of rhythms used in the most important music world traditions.
+ *
+ * @param {number} pulses the number of onsets / beats
+ * @param {number} steps the number of steps to fill
+ * @param {number} rotation (optional) offset in steps
+ * @returns Pattern
+ * @example // The Cuban tresillo pattern.
+ * "c3".euclid(3,8)
+ * @example // A thirteenth century Persian rhythm called Khafif-e-ramal.
+ * "c3".euclid(2,5)
+ * @example // The archetypal pattern of the Cumbia from Colombia, as well as a Calypso rhythm from Trinidad.
+ * "c3".euclid(3,4)
+ * @example // Another thirteenth century Persian rhythm by the name of Khafif-e-ramal, as well as a Rumanian folk-dance rhythm.
+ * "c3".euclid(3,5,2)
+ * @example // A Ruchenitza rhythm used in a Bulgarian folk-dance.
+ * "c3".euclid(3,7)
+ * @example // The Cuban tresillo pattern.
+ * "c3".euclid(3,8)
+ * @example // Another Ruchenitza Bulgarian folk-dance rhythm.
+ * "c3".euclid(4,7)
+ * @example // The Aksak rhythm of Turkey.
+ * "c3".euclid(4,9)
+ * @example // The metric pattern used by Frank Zappa in his piece titled Outside Now.
+ * "c3".euclid(4,11)
+ * @example // Yields the York-Samai pattern, a popular Arab rhythm.
+ * "c3".euclid(5,6)
+ * @example // The Nawakhat pattern, another popular Arab rhythm.
+ * "c3".euclid(5,7)
+ * @example // The Cuban cinquillo pattern.
+ * "c3".euclid(5,8)
+ * @example // A popular Arab rhythm called Agsag-Samai.
+ * "c3".euclid(5,9)
+ * @example // The metric pattern used by Moussorgsky in Pictures at an Exhibition.
+ * "c3".euclid(5,11)
+ * @example // The Venda clapping pattern of a South African children’s song.
+ * "c3".euclid(5,12)
+ * @example // The Bossa-Nova rhythm necklace of Brazil.
+ * "c3".euclid(5,16)
+ * @example // A typical rhythm played on the Bendir (frame drum).
+ * "c3".euclid(7,8)
+ * @example // A common West African bell pattern.
+ * "c3".euclid(7,12)
+ * @example // A Samba rhythm necklace from Brazil.
+ * "c3".euclid(7,16,14)
+ * @example // A rhythm necklace used in the Central African Republic.
+ * "c3".euclid(9,16)
+ * @example // A rhythm necklace of the Aka Pygmies of Central Africa.
+ * "c3".euclid(11,24,14)
+ * @example // Another rhythm necklace of the Aka Pygmies of the upper Sangha.
+ * "c3".euclid(13,24,5)
+ */
 Pattern.prototype.euclid = function (pulses, steps, rotation = 0) {
   return this.struct(euclid(pulses, steps, rotation));
 };
 
+/**
+ * Similar to {@link Pattern#euclid}, but each pulse is held until the next pulse, so there will be no gaps.
+ */
 Pattern.prototype.euclidLegato = function (pulses, steps, rotation = 0) {
   const bin_pat = euclid(pulses, steps, rotation);
   const firstOne = bin_pat.indexOf(1);