Add packages/edo for Equal Division of the Octave scales

packages/edo/README.md

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+# @strudel/edo
+
+This package adds EDO scale functions to strudel Patterns.
+
+## Install
+
+```sh
+npm i @strudel/edo --save
+```
+
+## Example
+
+```js
+import { n } from '@strudel/core';
+import '@strudel/edo';
+
+// E.g. edoScale for Gorgo-6 scale, 16 EDO, LLsLLLs
+// base note C3, large step size 3, small step size 1:
+// C3:LLsLLL:3:1
+const [baseNote, sequence, largeStep, smallStep] = ['C3', 'LLsLLL', 3, 1]
+const pattern = n("0 2 4 6 4 2").edoScale([baseNote, sequence, largeStep, smallStep]);
+
+const events = pattern.firstCycle().map((e) => e.show());
+console.log(events);
+```
+
+yields:
+```
+[
+    "[ 0/1 → 1/1 |
+      {
+        \"degree\":1,
+        \"degreeIndexes\":[0,3,6,7,10,13],
+        \"intLabels\":[null,\"S2\",\"d4\",\"N4\",\"s6\",\"s7\",\"P8\"],
+        \"root\":\"130.8128\",
+        \"freq\":130.813,
+        \"edo\":16
+      }
+    ]"
+]
+```

packages/edo/edo.mjs

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+/*
+edo.mjs - Equal division of the octave (EDO) scale functions for strudel
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/edo.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+
+import { register, pure, noteToMidi, isNote, tokenizeNote } from '@strudel/core';
+import { EdoScale } from './edoscale.mjs';
+import { Intervals } from './intervals.mjs';
+import { Pitches } from './pitches.mjs';
+
+const pitchesCache = new Map();
+
+export const edoScale = register(
+  'edoScale',
+  function (scaleDefinition, pat) {
+    // console.log(scaleDefinition);
+
+    // if (Array.isArray(scale)) {
+    const key = scaleDefinition.flat().join(':');
+    // }
+    // console.log(scaleDefinition);
+    let pitches;
+    if (pitchesCache.has(key)) {
+      pitches = pitchesCache.get(key);
+    } else {
+      // console.log({ key });
+      const [base_note, sequence, large, small] = scaleDefinition;
+      const root_octave = tokenizeNote(base_note)[2] || 3;
+      // console.log({ root_octave });
+      const scale = new EdoScale(large, small, sequence);
+      const intervals = new Intervals(scale);
+      // console.log({ intervals });
+      pitches = new Pitches(scale, intervals, 440, noteToMidi(base_note), root_octave);
+      pitchesCache.set(key, pitches);
+      // console.log({ base_note: noteToMidi(base_note) });
+      // console.log({ sequence });
+      // console.log({ edivisions: scale.edivisions });
+      // console.log({ intervals });
+      // console.log({ pat });
+      // console.log({ pitches: pitches });
+    }
+    return pat
+      .fmap((value) => {
+        const isObject = typeof value === 'object';
+        const n = isObject ? value.n : value;
+        if (isObject) {
+          delete value.n; // remove n so it won't cause trouble
+        }
+        if (isNote(n)) {
+          // legacy..
+          return pure(n);
+        }
+        const deg = (typeof n === 'string' ? parseInt(n, 10) : n) + 1;
+
+        const [oct, degree] = pitches.octdeg(deg);
+        const freq = pitches.octdegfreq(oct, degree);
+        const note = pitches.octdegmidi(oct, degree);
+        const edo = pitches.scale.edivisions;
+        const root = pitches.base_freq;
+        const degreeIndexes = pitches.scale.divisions;
+        const intLabels = pitches.intervals.intLabels;
+        // const color = 'red';
+        value = pure(isObject ? { ...value, degree, degreeIndexes, intLabels, root, freq, edo } : note);
+        // value = pure(isObject ? { ...value, key } : note);
+        // value = pure(isObject ? { ...value, edo } : note);
+        // console.log({ value });
+        return value;
+      })
+      .outerJoin()
+      .withHap((hap) => hap.setContext({ ...hap.context, scaleDefinition }));
+  },
+  true,
+  true, // preserve tactus
+);

packages/edo/edoscale.mjs

@@ -0,0 +1,213 @@
+/*
+edoscale.mjs - EdoScale defines equal division of the octave (EDO) scale in Ls notation
+             - Port of pitfalls/lib/Scale.lua - see <https://github.com/robmckinnon/pitfalls/blob/main/lib/Scale.lua>
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/edoscale.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+const M = 2;
+const L = 1;
+const S = 0;
+const LABELS = ['s', 'L', 'M'];
+
+export class EdoScale {
+  constructor(large, small, sequence, medium) {
+    this.stepbackup = [L, L, S, L, L, L, S, L, L, L, S, L, L, L, S, L];
+    this.large = large;
+    this.medium = medium || large;
+    this.small = small;
+    this.divisions = [];
+    this.edivisions = null;
+    this.sequence = null;
+    this.tonic = 1;
+    this.mode = 1;
+    this.max_steps = 12;
+    this.min_steps = 3;
+    this.setSequence(sequence);
+  }
+
+  hasMedium() {
+    return this.step.some((_, i) => this.step[this.offset(i)] === M);
+  }
+
+  stepSize(i) {
+    return LABELS[this.step[this.offset(i)]];
+  }
+
+  sequence() {
+    return this.step.map((_, i) => this.stepSize(i)).join('');
+  }
+
+  stepValue(i) {
+    const step = this.step[this.offset(i)];
+    return step === L ? this.large : step === M ? this.medium : this.small;
+  }
+
+  offset(i) {
+    if (this.mode === 1) {
+      return i;
+    } else {
+      const offset = (this.mode - 1 + i) % this.length;
+      return offset === 0 ? this.length : offset;
+    }
+  }
+
+  static setMaxSteps(max) {
+    this.max_steps = max;
+  }
+
+  static setMinSteps(min) {
+    this.min_steps = min;
+  }
+
+  setSequence(sequence) {
+    if (this.sequence !== sequence) {
+      this.sequence = sequence;
+      this.length = sequence.length;
+      this.step = [];
+      for (let i = 0; i < sequence.length; i++) {
+        const char = sequence[i];
+        this.step[i] = char === 'L' ? L : char === 'M' ? M : S;
+      }
+      this.updateEdo();
+    } else {
+      return false;
+    }
+  }
+
+  setLarge(l) {
+    if (this.large !== l) {
+      this.large = l;
+      this.updateEdo();
+    } else {
+      return false;
+    }
+  }
+
+  setMedium(m) {
+    if (this.medium !== m) {
+      this.medium = m;
+      this.updateEdo();
+    } else {
+      return false;
+    }
+  }
+
+  setSmall(s) {
+    if (this.small !== s) {
+      this.small = s;
+      this.updateEdo();
+    } else {
+      return false;
+    }
+  }
+
+  setMode(mode) {
+    this.mode = mode;
+  }
+
+  setTonic(tonic) {
+    this.tonic = tonic;
+  }
+
+  changeMode(d) {
+    const orig = this.mode;
+    this.mode = Math.max(1, Math.min(this.mode + d, this.length));
+    return orig !== this.mode;
+  }
+
+  changeTonic(d) {
+    const orig = this.tonic;
+    this.tonic = Math.max(1, Math.min(this.tonic + d, this.edivisions));
+    return orig !== this.tonic;
+  }
+
+  updateEdo() {
+    const orig = this.edivisions;
+    this.edivisions = this.step.reduce((sum, _, i) => {
+      this.divisions[i] = sum;
+      return sum + this.stepValue(i);
+    }, 0);
+    // console.log(this.divisions);
+    const changed = orig !== this.edivisions;
+    if (changed) {
+      this.tonic = Math.max(1, Math.min(this.tonic, this.edivisions));
+    }
+    return changed;
+  }
+
+  changeStep(d, i) {
+    const index = this.offset(i);
+    const orig = this.step[index];
+    this.step[index] = Math.max(S, Math.min(this.step[index] + d, M));
+    this.stepbackup[index] = this.step[index];
+    const changed = orig !== this.step[index];
+    if (changed) {
+      this.updateEdo();
+    }
+    return changed;
+  }
+
+  changeLarge(d) {
+    const orig = this.large;
+    this.setLarge(Math.max(this.small + 1, Math.min(this.large + d, this.large + 1)));
+    const changed = this.large !== orig;
+    if (changed) {
+      if (this.large <= this.medium) {
+        this.setMedium(Math.max(this.small + 1, Math.min(this.large - 1, this.large)));
+      }
+      this.updateEdo();
+    }
+    return changed;
+  }
+
+  changeMedium(d) {
+    const orig = this.medium;
+    this.setMedium(Math.max(this.small + 1, Math.min(this.medium + d, this.large - 1)));
+    const changed = this.medium !== orig;
+    if (changed) {
+      this.updateEdo();
+    }
+    return changed;
+  }
+
+  changeSmall(d) {
+    const orig = this.small;
+    const value = this.small + d;
+
+    if (this.hasMedium()) {
+      this.setSmall(Math.max(1, Math.min(value, this.medium - 1)));
+    } else {
+      this.setSmall(Math.max(1, Math.min(value, this.large - 1)));
+    }
+
+    const changed = this.small !== orig;
+    if (changed) {
+      if (this.small >= this.medium) {
+        this.setMedium(Math.max(this.small + 1, Math.min(this.large)));
+      }
+      this.updateEdo();
+    }
+    return changed;
+  }
+
+  changeLength(d) {
+    const orig = this.length;
+    if (d === 1) {
+      this.length = Math.min(this.length + 1, this.max_steps);
+    } else if (d === -1) {
+      this.length = Math.max(this.length - 1, this.min_steps);
+    }
+
+    const changed = this.length !== orig;
+    if (changed) {
+      this.mode = 1;
+      if (d === 1) {
+        this.step[this.length] = this.stepbackup[this.length] || L;
+      } else if (d === -1 && this.length >= this.min_steps) {
+        this.step.pop();
+      }
+      this.updateEdo();
+    }
+    return changed;
+  }
+}

packages/edo/index.mjs

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+import './edo.mjs';
+
+export * from './edo.mjs';
+
+export const packageName = '@strudel/edo';

packages/edo/intervals.mjs

@@ -0,0 +1,103 @@
+/*
+intervals.mjs - defines Intervals for equal division of the octave (EDO) scale
+              - Port of pitfalls/lib/Intervals.lua - see <https://github.com/robmckinnon/pitfalls/blob/main/lib/Intervals.lua>
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/intervals.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+import ratiointervals from './ratios.mjs';
+
+function ratio(division, edivisions) {
+  return division === 0 ? 1 : Math.pow(2, division / edivisions);
+}
+
+export class Intervals {
+  constructor(scale) {
+    this.scale = scale;
+    this.intLabels = [];
+    this.intNoms = [];
+    this.intRatios = [];
+    this.uniqLabels = [];
+    this.intErrors = [];
+    this.ratios = [];
+
+    const BLANK = '';
+    let division = 0;
+    const labToErr = {};
+    const labToInd = {};
+
+    this.ratios[0] = 1;
+
+    for (let i = 0; i < scale.length; i++) {
+      division += scale.stepValue(i);
+      this.ratios[i + 1] = ratio(division, scale.edivisions);
+
+      if (i < scale.length) {
+        const nearest = ratiointervals.nearestInterval(this.ratios[i + 1]);
+        const closeness = nearest[0];
+        const ratio = nearest[1];
+        const intLabel = ratiointervals.key(ratio);
+        this.intLabels[i + 1] = intLabel;
+        this.intErrors[i + 1] = closeness;
+        this.intNoms[i + 1] = ratio ? ratiointervals.nom(ratio) : 0;
+        this.intRatios[i + 1] = ratio ? `${ratiointervals.nom(ratio)}/${ratiointervals.denom(ratio)}` : '';
+        this.uniqLabels[i + 1] = BLANK;
+
+        if (intLabel && intLabel !== 'P1' && intLabel !== 'P8') {
+          if (!labToErr[intLabel]) {
+            this.uniqLabels[i + 1] = intLabel;
+            labToInd[intLabel] = i + 1;
+            labToErr[intLabel] = closeness;
+          } else if (closeness < labToErr[intLabel]) {
+            this.uniqLabels[labToInd[intLabel]] = BLANK;
+            this.uniqLabels[i + 1] = intLabel;
+            labToInd[intLabel] = i + 1;
+            labToErr[intLabel] = closeness;
+          }
+        }
+      }
+    }
+  }
+
+  ratio(i) {
+    return this.ratios[i];
+  }
+
+  intervalLabel(i) {
+    return this.intLabels[i];
+  }
+
+  intervalNominator(i) {
+    return this.intNoms[i];
+  }
+
+  intervalRatio(i) {
+    return this.intRatios[i];
+  }
+
+  uniqIntervalLabel(i) {
+    return this.uniqLabels[i];
+  }
+
+  intervalError(i) {
+    return this.intErrors[i];
+  }
+
+  nearestDegreeTo(r, threshold) {
+    let min = 1;
+    let degree = null;
+
+    for (const [i, v] of Object.entries(this.ratios)) {
+      const diff = Math.abs((r - v) / r);
+      if (diff < min) {
+        min = diff;
+        degree = parseInt(i, 10);
+      }
+    }
+
+    if (threshold == null) {
+      return degree;
+    } else {
+      return min < threshold ? degree : 1;
+    }
+  }
+}

packages/edo/package.json

@@ -0,0 +1,42 @@
+{
+  "name": "@strudel/edo",
+  "version": "0.1.0",
+  "description": "Equal division of the octave (EDO) scale functions for strudel",
+  "main": "index.mjs",
+  "publishConfig": {
+    "main": "dist/index.mjs"
+  },
+  "scripts": {
+    "build": "vite build",
+    "test": "vitest run",
+    "prepublishOnly": "npm run build"
+  },
+  "type": "module",
+  "repository": {
+    "type": "git",
+    "url": "git+https://codeberg.org/uzu/strudel.git"
+  },
+  "keywords": [
+    "tidalcycles",
+    "strudel",
+    "pattern",
+    "livecoding",
+    "algorave"
+  ],
+  "author": "Rob McKinnon <rob@movingflow>",
+  "license": "AGPL-3.0-or-later",
+  "bugs": {
+    "url": "https://codeberg.org/uzu/strudel/issues"
+  },
+  "homepage": "https://codeberg.org/uzu/strudel#readme",
+  "dependencies": {
+    "@strudel/core": "workspace:*",
+    "@tonaljs/tonal": "^4.10.0",
+    "chord-voicings": "^0.0.1",
+    "webmidi": "^3.1.12"
+  },
+  "devDependencies": {
+    "vite": "^6.0.11",
+    "vitest": "^3.0.4"
+  }
+}

packages/edo/pitches.mjs

@@ -0,0 +1,98 @@
+/*
+pitches.mjs - defines Pitches for equal division of the octave (EDO) scale
+            - Port of pitfalls/lib/Pitches.lua - see <https://github.com/robmckinnon/pitfalls/blob/main/lib/Pitches.lua>
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/pitches.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+
+function ratio(division, edivisions) {
+  return division === 0 ? 1 : Math.pow(2, division / edivisions);
+}
+
+// This function gets frequency based on index, edo, octave, and base frequency
+function get_freq(base_freq, edo, index, oct, base_octave) {
+  let f = base_freq * ratio(index - 1, edo);
+  if (oct < base_octave) {
+    f /= Math.pow(2, base_octave - oct);
+  } else if (oct > base_octave) {
+    f *= Math.pow(2, oct - base_octave);
+  }
+  return f;
+}
+
+// Convert MIDI number to Hz using a given tuning multiplier
+function midi_to_hz(n, tuning) {
+  return tuning * Math.pow(2, (n - 69) / 12.0);
+}
+
+const denom = Math.log(2);
+function hz_to_midi(freq, tuning) {
+  return 12.0 * (Math.log(freq / tuning) / denom) + 69;
+}
+
+export class Pitches {
+  constructor(scale, intervals, tuning, midi_start, root_octave) {
+    this.scale = scale;
+    this.intervals = intervals;
+    this.base_freq = midi_to_hz(midi_start, tuning);
+    this.root_octave = root_octave;
+    this.freqs = {};
+    this.midis = {};
+    this.degrees = {};
+    this.octdegfreqs = {};
+    this.octdegmidis = {};
+    let index = 0;
+    let f = null;
+
+    for (let oct = 0; oct <= 8; oct++) {
+      this.octdegfreqs[oct] = {};
+      this.octdegmidis[oct] = {};
+      f = get_freq(this.base_freq, scale.edivisions, scale.tonic, oct, this.root_octave);
+      for (let deg = 0; deg < scale.length; deg++) {
+        index = index + 1;
+        this.freqs[index] = parseFloat((f * intervals.ratio(deg)).toFixed(3));
+        this.midis[index] = parseFloat(hz_to_midi(f * intervals.ratio(deg), tuning).toFixed(4));
+        this.degrees[index] = deg;
+        this.octdegfreqs[oct][deg + 1] = this.freqs[index];
+        this.octdegmidis[oct][deg + 1] = this.midis[index];
+      }
+    }
+    this.base_freq = parseFloat(this.base_freq).toFixed(4);
+  }
+
+  base_freq() {
+    return this.base_freq;
+  }
+
+  degree(index) {
+    return this.degrees[index];
+  }
+
+  freq(index) {
+    return this.freqs[index];
+  }
+
+  octdeg(deg) {
+    const higherOcatve = deg > this.scale.length;
+    const octave = this.root_octave + (higherOcatve ? Math.floor((deg - 1) / this.scale.length) : 0);
+    const degree = higherOcatve ? (deg % this.scale.length === 0 ? this.scale.length : deg % this.scale.length) : deg;
+    console.log([octave, degree]);
+    return [octave, degree];
+  }
+
+  octdegfreq(oct, deg) {
+    if (this.octdegfreqs[oct]) {
+      return this.octdegfreqs[oct][deg];
+    } else {
+      return null;
+    }
+  }
+
+  octdegmidi(oct, deg) {
+    if (this.octdegmidis[oct]) {
+      return this.octdegmidis[oct][deg];
+    } else {
+      return null;
+    }
+  }
+}

packages/edo/ratios.mjs

@@ -0,0 +1,95 @@
+/*
+ratios.mjs - lists whole number ratios for pitch intervals
+           - Port of pitfalls/lib/ratios.lua - see <https://github.com/robmckinnon/pitfalls/blob/main/lib/ratios.lua>
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/ratios.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+const ratiointervals = {};
+
+// FJS Calculators - https://misotanni.github.io/fjs/en/calc.html
+// List of pitch intervals - https://en.wikipedia.org/wiki/List_of_pitch_intervals
+// Gallery of just intervals - https://en.xen.wiki/w/Gallery_of_just_intervals
+// Two letter codes changed to make different interval labels more unique.
+ratiointervals.list = new Map([
+  [1, ['P1', 'P1', 'P1', 1, 1]], // unison P1
+  [16 / 15, ['m2', 'm2', 'm2_5', 16, 15]], // minor second m2
+  [15 / 14, ['A1', 'A1', 'A1^5_7', 15, 14]], // augmented unison
+  [13 / 12, ['t2', 'm2', 'm2^13', 13, 12]], // tridecimal neutral second
+  [12 / 11, ['N2', 'M2', 'M2_11', 12, 11]], // undecimal neutral second
+  [11 / 10, ['n2', 'm2', 'm2^11_5', 11, 10]], // undecimal submajor second
+  [10 / 9, ['T2', 'M2', 'M2^5', 10, 9]], // classic (whole) tone
+  [9 / 8, ['M2', 'M2', 'M2', 9, 8]], // major second M2
+  [8 / 7, ['S2', 'M2', 'M2_7', 8, 7]], // septimal major second
+  [7 / 6, ['s3', 'm3', 'm3^7', 7, 6]], // septimal minor third
+  [19 / 16, ['o3', 'm3', 'm3^19', 19, 16]], // otonal minor third
+  [6 / 5, ['m3', 'm3', 'm3_5', 6, 5]], // minor third m3
+  [17 / 14, ['t3', 'm3', 'm3^17_7', 17, 14]], // septendecimal supraminor third
+  [11 / 9, ['n3', 'm3', 'm3^11', 11, 9]], // undecimal neutral third
+  [5 / 4, ['M3', 'M3', 'M3^5', 5, 4]], // major third M3
+  [9 / 7, ['S3', 'M3', 'M3_7', 9, 7]], // septimal major third SM3
+  [13 / 10, ['d4', 'd4', 'd4^13_5', 13, 10]], // Barbados third
+  [4 / 3, ['P4', 'P4', 'P4', 4, 3]], // perfect fourth P4
+  [19 / 14, ['N4', 'P4', 'P4^19_7', 19, 14]], // undevicesimal wide fourth
+  [11 / 8, ['n4', 'P4', 'P4^11', 11, 8]], // super-fourth
+  [25 / 18, ['a4', 'A4', 'A4^5,5', 25, 18]], // classic augmented fourth
+  [7 / 5, ['sT', 'd5', 'd5^7_5', 7, 5]], // lesser septimal tritone
+  [45 / 32, ['A4', 'A4', 'A4^5', 45, 32]], // just augmented fourth
+  [17 / 12, ['d5', 'd5', 'd5^17', 17, 12]], // larger septendecimal tritone
+  [10 / 7, ['ST', 'A4', 'A4^5_7', 10, 7]], // greater septimal tritone
+  [13 / 9, ['t5', 'd5', 'd5^13', 13, 9]], // tridecimal diminished fifth
+  [3 / 2, ['P5', 'P5', 'P5', 3, 2]], // perfect fifth P5
+  [14 / 9, ['s6', 'M6', 'm6^7', 14, 9]], // subminor sixth or septimal sixth
+  [25 / 16, ['a5', 'A5', 'A5^5,5', 25, 16]], // classic augmented fifth
+  [11 / 7, ['A5', 'P5', 'P5^11_7', 11, 7]], // undecimal minor sixth
+  [8 / 5, ['m6', 'm6', 'm6_5', 8, 5]], // minor sixth m6
+  [13 / 8, ['N6', 'm6', 'm6^13', 13, 8]], // tridecimal neutral sixth
+  [18 / 11, ['n6', 'M6', 'M6_11', 18, 11]], // undecimal neutral sixth
+  [5 / 3, ['M6', 'M6', 'M6^5', 5, 3]], // just major sixth M6
+  [128 / 75, ['d7', 'd7', 'd7_5,5', 128, 75]], // diminished seventh
+  [17 / 10, ['T6', 'd7', 'd7^17_5', 17, 10]], // septendecimal diminished seventh
+  [12 / 7, ['S6', 'M6', 'M6_7', 12, 7]], // septimal major sixth
+  [7 / 4, ['s7', 'm7', 'm7^7', 7, 4]], // septimal minor seventh
+  [16 / 9, ['m7', 'm7', 'm7', 16, 9]], // lesser minor seventh
+  [9 / 5, ['g7', 'm7', 'm7_5', 9, 5]], // greater just minor seventh
+  [11 / 6, ['n7', 'm7', 'm7^11', 11, 6]], // undecimal neutral seventh
+  [13 / 7, ['N7', 'm7', 'm7^13_7', 13, 7]], // tridecimal neutral seventh
+  [15 / 8, ['M7', 'M7', 'M7^5', 15, 8]], // major seventh
+  [17 / 9, ['T7', 'd8', 'd8^17', 17, 9]], // large septendecimal major seventh
+  [19 / 10, ['d8', 'd8', 'd8^19_5', 19, 10]], // large undevicesimal major seventh
+  [2, ['P8', 'P8', 'P8', 2, 1]], // octave P8
+]);
+
+ratiointervals.key = function (ratio) {
+  return ratio == null ? '' : ratiointervals.list.get(ratio)?.[0] || '';
+};
+
+ratiointervals.label = function (ratio) {
+  return ratio == null ? '' : ratiointervals.list.get(ratio)?.[1] || '';
+};
+
+ratiointervals.fjs = function (ratio) {
+  return ratio == null ? '' : ratiointervals.list.get(ratio)?.[2] || '';
+};
+
+ratiointervals.nom = function (ratio) {
+  return ratio == null ? null : ratiointervals.list.get(ratio)?.[3] || null;
+};
+
+ratiointervals.denom = function (ratio) {
+  return ratio == null ? null : ratiointervals.list.get(ratio)?.[4] || null;
+};
+
+ratiointervals.nearestInterval = function (v) {
+  let min = 1;
+  let match = null;
+  for (const [ratio, _labels] of ratiointervals.list) {
+    const diff = Math.abs((ratio - v) / ratio);
+    if (diff < min) {
+      min = diff;
+      match = ratio;
+    }
+  }
+  return min < 0.01 ? [min, match] : [null, null];
+};
+
+export default ratiointervals;

packages/edo/test/edo.test.mjs

@@ -0,0 +1,34 @@
+/*
+edo.test.mjs - tests of edo.mjs
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://github.com/tidalcycles/strudel/blob/main/packages/tonal/test/tonal.test.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+import '../edo.mjs';
+import { n } from '@strudel/core';
+import { describe, it, expect } from 'vitest';
+
+describe('edoScale', () => {
+  it('Should run tonal functions ', () => {
+    // base note A3 = 220Hz
+    let baseNote = 'A3';
+    let root = 220;
+    let freq = 220;
+    let pattern = n('0').edoScale([baseNote, 'LLsLLLs', 2, 1]);
+    let cycle = pattern.firstCycleValues[0];
+    expect(cycle.freq).toEqual(freq);
+    expect(cycle.edo).toEqual(12);
+    expect(cycle.degree).toEqual(1);
+    expect(parseFloat(cycle.root).toFixed(0)).toEqual(root.toFixed(0));
+
+    // base note A4 = 440Hz
+    baseNote = 'A4';
+    root = 440;
+    freq = 880;
+    pattern = n('7').edoScale([baseNote, 'LLsLLLs', 2, 1]);
+    cycle = pattern.firstCycleValues[0];
+    expect(cycle.freq).toEqual(freq);
+    expect(cycle.edo).toEqual(12);
+    expect(cycle.degree).toEqual(1);
+    expect(parseFloat(cycle.root).toFixed(0)).toEqual(root.toFixed(0));
+  });
+});

packages/edo/test/edoscale.test.mjs

@@ -0,0 +1,21 @@
+/*
+edoscale.test.mjs - tests of EdoScale from edoscale.mjs
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/test/edoscale.test.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+import '../edoscale.mjs'; // need to import this to add prototypes
+import { EdoScale } from '../edoscale.mjs';
+import { describe, it, expect } from 'vitest';
+
+describe('EdoScale', () => {
+  it('updates edivisions', () => {
+    let scale = new EdoScale(2, 1, ['L', 'L', 's', 'L', 'L', 'L', 's']);
+    expect(scale.stepSize(0)).toEqual('L');
+    expect(scale.stepValue(0)).toEqual(2);
+
+    expect(scale.stepSize(2)).toEqual('s');
+    expect(scale.stepValue(2)).toEqual(1);
+
+    expect(scale.edivisions).toEqual(12);
+  });
+});

packages/edo/test/ratios.test.mjs

@@ -0,0 +1,18 @@
+/*
+ratios.test.mjs - tests of ratios.mjs
+Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/test/ratios.test.mjs>
+This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program.  If not, see <https://www.gnu.org/licenses/>.
+*/
+import ratiointervals from '../ratios.mjs';
+import { describe, it, expect } from 'vitest';
+
+describe('ratiointervals', () => {
+  it('updates edivisions', () => {
+    let ratio = 9 / 7;
+    expect(ratiointervals.key(ratio)).toEqual('S3');
+    expect(ratiointervals.label(ratio)).toEqual('M3');
+    expect(ratiointervals.fjs(ratio)).toEqual('M3_7');
+    expect(ratiointervals.nom(ratio)).toEqual(9);
+    expect(ratiointervals.denom(ratio)).toEqual(7);
+  });
+});

packages/edo/vite.config.js

@@ -0,0 +1,19 @@
+import { defineConfig } from 'vite';
+import { dependencies } from './package.json';
+import { resolve } from 'path';
+
+// https://vitejs.dev/config/
+export default defineConfig({
+  plugins: [],
+  build: {
+    lib: {
+      entry: resolve(__dirname, 'index.mjs'),
+      formats: ['es'],
+      fileName: (ext) => ({ es: 'index.mjs' })[ext],
+    },
+    rollupOptions: {
+      external: [...Object.keys(dependencies)],
+    },
+    target: 'esnext',
+  },
+});