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https://github.com/curioustorvald/tsvm.git
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manually entering syms
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@@ -25,134 +25,57 @@ doubleflat:"\u0092\u0093",
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tripleflat:"\u0094\u0095",
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quadflat:"\u0096\u0097",
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csharp:"\u0098",
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cflat:"\u0098",
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uptick:"\u009A",
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dntick:"\u009B",
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doubleuptick:"\u009C",
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doubledntick:"\u009D",
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/* special notes */
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keyoff:"\u00A0\u00CD\u00CD\u00A1",
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notecut:"\u00A4\u00A4\u00A4\u00A4",
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/* miscellaneous */
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cent:"\u009B",
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unticked:"\u009E",
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ticked:"\u009F",
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}
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const pitchTablePresets = [
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{name:"null", table:[]},
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{name:"null", table:[], sym:[]},
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/* Xenharmonic, equal temperament */
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{name:"5-TET", table:[0x0,0x333,0x666,0x99A,0xCCD]},
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{name:"7-TET", table:[0x0,0x249,0x492,0x6DB,0x925,0xB6E,0xDB7]},
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{name:"10-TET", table:[0x0,0x19A,0x333,0x4CD,0x666,0x800,0x99A,0xB33,0xCCD,0xE66]},
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{name:"16-TET", table:[0x0,0x100,0x200,0x300,0x400,0x500,0x600,0x700,0x800,0x900,0xA00,0xB00,0xC00,0xD00,0xE00,0xF00]},
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{name:"19-TET", table:[0x0,0xD8,0x1AF,0x287,0x35E,0x436,0x50D,0x5E5,0x6BD,0x794,0x86C,0x943,0xA1B,0xAF3,0xBCA,0xCA2,0xD79,0xE51,0xF28]},
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{name:"22-TET", table:[0x0,0xBA,0x174,0x22F,0x2E9,0x3A3,0x45D,0x517,0x5D1,0x68C,0x746,0x800,0x8BA,0x974,0xA2F,0xAE9,0xBA3,0xC5D,0xD17,0xDD1,0xE8C,0xF46]},
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{name:"24-TET", table:[0x0,0xAB,0x155,0x200,0x2AB,0x355,0x400,0x4AB,0x555,0x600,0x6AB,0x755,0x800,0x8AB,0x955,0xA00,0xAAB,0xB55,0xC00,0xCAB,0xD55,0xE00,0xEAB,0xF55]},
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{name:"31-TET", table:[0x0,0x84,0x108,0x18C,0x211,0x295,0x319,0x39D,0x421,0x4A5,0x529,0x5AD,0x632,0x6B6,0x73A,0x7BE,0x842,0x8C6,0x94A,0x9CE,0xA53,0xAD7,0xB5B,0xBDF,0xC63,0xCE7,0xD6B,0xDEF,0xE74,0xEF8,0xF7C]},
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{name:"53-TET", table:[0x0,0x4D,0x9B,0xE8,0x135,0x182,0x1D0,0x21D,0x26A,0x2B8,0x305,0x352,0x39F,0x3ED,0x43A,0x487,0x4D5,0x522,0x56F,0x5BC,0x60A,0x657,0x6A4,0x6F2,0x73F,0x78C,0x7D9,0x827,0x874,0x8C1,0x90E,0x95C,0x9A9,0x9F6,0xA44,0xA91,0xADE,0xB2B,0xB79,0xBC6,0xC13,0xC61,0xCAE,0xCFB,0xD48,0xD96,0xDE3,0xE30,0xE7E,0xECB,0xF18,0xF65,0xFB3]},
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{name:"5-TET", table:[0x0,0x333,0x666,0x99A,0xCCD],},
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{name:"7-TET", table:[0x0,0x249,0x492,0x6DB,0x925,0xB6E,0xDB7],},
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{name:"10-TET", table:[0x0,0x19A,0x333,0x4CD,0x666,0x800,0x99A,0xB33,0xCCD,0xE66],},
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{name:"16-TET", table:[0x0,0x100,0x200,0x300,0x400,0x500,0x600,0x700,0x800,0x900,0xA00,0xB00,0xC00,0xD00,0xE00,0xF00],},
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{name:"19-TET", table:[0x0,0xD8,0x1AF,0x287,0x35E,0x436,0x50D,0x5E5,0x6BD,0x794,0x86C,0x943,0xA1B,0xAF3,0xBCA,0xCA2,0xD79,0xE51,0xF28],},
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{name:"22-TET", table:[0x0,0xBA,0x174,0x22F,0x2E9,0x3A3,0x45D,0x517,0x5D1,0x68C,0x746,0x800,0x8BA,0x974,0xA2F,0xAE9,0xBA3,0xC5D,0xD17,0xDD1,0xE8C,0xF46]},,
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{name:"24-TET", table:[0x0,0xAB,0x155,0x200,0x2AB,0x355,0x400,0x4AB,0x555,0x600,0x6AB,0x755,0x800,0x8AB,0x955,0xA00,0xAAB,0xB55,0xC00,0xCAB,0xD55,0xE00,0xEAB,0xF55],
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sym:[`C${sym.accnull}`,`C${sym.sharp}`,`D${sym.accnull}`,`D${sym.sharp}`,`E${sym.accnull}`,`F${sym.accnull}`,`F${sym.sharp}`,`G${sym.accnull}`,`G${sym.sharp}`,`A${sym.accnull}`,`A${sym.sharp}`,`B${sym.accnull}`]},
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{name:"31-TET", table:[0x0,0x84,0x108,0x18C,0x211,0x295,0x319,0x39D,0x421,0x4A5,0x529,0x5AD,0x632,0x6B6,0x73A,0x7BE,0x842,0x8C6,0x94A,0x9CE,0xA53,0xAD7,0xB5B,0xBDF,0xC63,0xCE7,0xD6B,0xDEF,0xE74,0xEF8,0xF7C],
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sym:[`C${sym.accnull}`,`C${sym.demisharp}`,`C${sym.sharp}`,`D${sym.flat}`,`D${sym.demiflat}`,`D${sym.accnull}`,`D${sym.demisharp}`,`D${sym.sharp}`,`E${sym.flat}`,`E${sym.demiflat}`,`E${sym.accnull}`,`E${sym.demisharp}`,`F${sym.demiflat}`,`F${sym.accnull}`,`F${sym.demisharp}`,`F${sym.sharp}`,`G${sym.flat}`,`G${sym.demiflat}`,`G${sym.accnull}`,`G${sym.demisharp}`,`G${sym.sharp}`,`A${sym.flat}`,`A${sym.demiflat}`,`A${sym.accnull}`,`A${sym.demisharp}`,`A${sym.sharp}`,`B${sym.flat}`,`B${sym.demiflat}`,`B${sym.accnull}`,`B${sym.demisharp}`,`C${sym.demiflat}`]},
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{name:"53-TET Pythagorean Notation", table:[0x0,0x4D,0x9B,0xE8,0x135,0x182,0x1D0,0x21D,0x26A,0x2B8,0x305,0x352,0x39F,0x3ED,0x43A,0x487,0x4D5,0x522,0x56F,0x5BC,0x60A,0x657,0x6A4,0x6F2,0x73F,0x78C,0x7D9,0x827,0x874,0x8C1,0x90E,0x95C,0x9A9,0x9F6,0xA44,0xA91,0xADE,0xB2B,0xB79,0xBC6,0xC13,0xC61,0xCAE,0xCFB,0xD48,0xD96,0xDE3,0xE30,0xE7E,0xECB,0xF18,0xF65,0xFB3],
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sym:[`C${sym.accnull}`,`B${sym.sharp}`,`A${sym.triplesharp}`,`E${sym.tripleflat}`,`D${sym.flat}`,`C${sym.sharp}`,`B${sym.doublesharp}`,`F${sym.tripleflat}`,`E${sym.doubleflat}`,`D${sym.accnull}`,`C${sym.doublesharp}`,`B${sym.triplesharp}`,`F${sym.doubleflat}`,`E${sym.flat}`,`D${sym.sharp}`,`C${sym.triplesharp}`,`G${sym.tripleflat}`,`F${sym.flat}`,`E${sym.accnull}`,`D${sym.doublesharp}`,`C${sym.quadsharp}`,`G${sym.doubleflat}`,`F${sym.accnull}`,`E${sym.sharp}`,`D${sym.triplesharp}`,`A${sym.tripleflat}`,`G${sym.flat}`,`F${sym.sharp}`,`E${sym.doublesharp}`,`D${sym.quadsharp}`,`A${sym.doubleflat}`,`G${sym.accnull}`,`F${sym.doublesharp}`,`E${sym.triplesharp}`,`B${sym.tripleflat}`,`A${sym.flat}`,`G${sym.sharp}`,`F${sym.triplesharp}`,`C${sym.tripleflat}`,`B${sym.doubleflat}`,`A${sym.accnull}`,`G${sym.doublesharp}`,`F${sym.quadsharp}`,`C${sym.doubleflat}`,`B${sym.flat}`,`A${sym.sharp}`,`G${sym.triplesharp}`,`D${sym.tripleflat}`,`C${sym.flat}`,`B${sym.accnull}`,`A${sym.doublesharp}`,`G${sym.quadsharp}`,`D${sym.doubleflat}`]},
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{name:"53-TET Microtonal Notation", table:[0x0,0x4D,0x9B,0xE8,0x135,0x182,0x1D0,0x21D,0x26A,0x2B8,0x305,0x352,0x39F,0x3ED,0x43A,0x487,0x4D5,0x522,0x56F,0x5BC,0x60A,0x657,0x6A4,0x6F2,0x73F,0x78C,0x7D9,0x827,0x874,0x8C1,0x90E,0x95C,0x9A9,0x9F6,0xA44,0xA91,0xADE,0xB2B,0xB79,0xBC6,0xC13,0xC61,0xCAE,0xCFB,0xD48,0xD96,0xDE3,0xE30,0xE7E,0xECB,0xF18,0xF65,0xFB3],
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sym:[`-C-`,`${sym.uptick}C-`,`${sym.doubleuptick}C-`,`${sym.doubledntick}C${sym.csharp}`,`${sym.dntick}C${sym.csharp}`,`-C${sym.csharp}`,`${sym.uptick}C${sym.csharp}`,`${sym.doubledntick}D-`,`${sym.dntick}D-`,`-D-`,`${sym.uptick}D-`,`${sym.doubleuptick}D-`,`${sym.doubledntick}D${sym.csharp}`,`${sym.dntick}D${sym.csharp}`,`-D${sym.csharp}`,`${sym.uptick}D${sym.csharp}`,`${sym.doubledntick}E-`,`${sym.dntick}E-`,`-E-`,`${sym.uptick}E-`,`${sym.doubleuptick}E-`,`${sym.dntick}F-`,`-F-`,`${sym.uptick}F-`,`${sym.doubleuptick}F-`,`${sym.doubledntick}F${sym.csharp}`,`${sym.dntick}F${sym.csharp}`,`-F${sym.csharp}`,`${sym.uptick}F${sym.csharp}`,`${sym.doubledntick}G-`,`${sym.dntick}G-`,`-G-`,`${sym.uptick}G-`,`${sym.doubleuptick}G-`,`${sym.doubledntick}G${sym.csharp}`,`${sym.dntick}G${sym.csharp}`,`-G${sym.csharp}`,`${sym.uptick}G${sym.csharp}`,`${sym.doubledntick}A-`,`${sym.dntick}A-`,`-A-`,`${sym.uptick}A-`,`${sym.doubleuptick}A-`,`${sym.doubledntick}A${sym.csharp}`,`${sym.dntick}A${sym.csharp}`,`-A${sym.csharp}`,`${sym.uptick}A${sym.csharp}`,`${sym.doubledntick}B-`,`${sym.dntick}B-`,`-B-`,`${sym.uptick}B-`,`${sym.doubleuptick}B-`,`${sym.dntick}C-`]},
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/* 12-TET variations */
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{name:"12-TET", table:[0x0,0x155,0x2AB,0x400,0x555,0x6AB,0x800,0x955,0xAAB,0xC00,0xD55,0xEAB]},
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{name:"Pythagorean Diminished Fifth", table:[0x0,0x134,0x2B8,0x3EC,0x570,0x6A4,0x7D8,0x95C,0xA90,0xC14,0xD48,0xECC]},
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{name:"Pythagorean Augmented Fourth", table:[0x0,0x134,0x2B8,0x3EC,0x570,0x6A4,0x828,0x95C,0xA90,0xC14,0xD48,0xECC]},
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{name:"Shierlu", table:[0x0,0x184,0x2B8,0x43C,0x570,0x6F4,0x828,0x95C,0xAE0,0xC14,0xD98,0xECC]},
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{name:"12-TET", table:[0x0,0x155,0x2AB,0x400,0x555,0x6AB,0x800,0x955,0xAAB,0xC00,0xD55,0xEAB],
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sym:[`C${sym.accnull}`,`C${sym.sharp}`,`D${sym.accnull}`,`D${sym.sharp}`,`E${sym.accnull}`,`F${sym.accnull}`,`F${sym.sharp}`,`G${sym.accnull}`,`G${sym.sharp}`,`A${sym.accnull}`,`A${sym.sharp}`,`B${sym.accnull}`]},
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{name:"Pythagorean Diminished Fifth", table:[0x0,0x134,0x2B8,0x3EC,0x570,0x6A4,0x7D8,0x95C,0xA90,0xC14,0xD48,0xECC],
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sym:[`C${sym.accnull}`,`C${sym.sharp}`,`D${sym.accnull}`,`D${sym.sharp}`,`E${sym.accnull}`,`F${sym.accnull}`,`F${sym.sharp}`,`G${sym.accnull}`,`G${sym.sharp}`,`A${sym.accnull}`,`A${sym.sharp}`,`B${sym.accnull}`]},
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{name:"Pythagorean Augmented Fourth", table:[0x0,0x134,0x2B8,0x3EC,0x570,0x6A4,0x828,0x95C,0xA90,0xC14,0xD48,0xECC],
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sym:[`C${sym.accnull}`,`C${sym.sharp}`,`D${sym.accnull}`,`D${sym.sharp}`,`E${sym.accnull}`,`F${sym.accnull}`,`F${sym.sharp}`,`G${sym.accnull}`,`G${sym.sharp}`,`A${sym.accnull}`,`A${sym.sharp}`,`B${sym.accnull}`]},
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{name:"Shierlu", table:[0x0,0x184,0x2B8,0x43C,0x570,0x6F4,0x828,0x95C,0xAE0,0xC14,0xD98,0xECC],
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sym:[`C${sym.accnull}`,`C${sym.sharp}`,`D${sym.accnull}`,`D${sym.sharp}`,`E${sym.accnull}`,`F${sym.accnull}`,`F${sym.sharp}`,`G${sym.accnull}`,`G${sym.sharp}`,`A${sym.accnull}`,`A${sym.sharp}`,`B${sym.accnull}`]},
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]
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/* converts 4096-TET (1 octave = 4096 tones) to conventional notation, with approximation
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* @param n note number (0..65535)
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* @param tets how many tones within octave under chosen pitch preset. Obtained by `preset.table.length`
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*/
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function noteName4096(n, tets) {
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const N = 4096;
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// Precompute bases (integer-rounded)
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const base = [0x0, 0x2AB, 0x555, 0x6AB, 0x955, 0xC00, 0xEAB] // [0, 2, 4, 5, 7, 9, 11] in 12-TET
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const letters = ['C', 'D', 'E', 'F', 'G', 'A', 'B'];
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// accidental mapping
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function accidental(k) {
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switch (k) {
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case 0: return sym.accnull; // no accidentals
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case 1: return sym.demisharp; // common in 24-tet
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case 2: return sym.sharp; // common
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case 3: return sym.sesquisharp; // common in 24-tet
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case 4: return sym.doublesharp; // the 'x' symbol
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case 5: return sym.triplesharp; // '#x'
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case 6: return sym.quadsharp; // 'xx'
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case -1: return sym.demiflat; // common in 24-tet
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case -2: return sym.flat; // common
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case -3: return sym.sesquiflat; // common in 24-tet
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case -4: return sym.doubleflat; // 'bb'
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case -5: return sym.tripleflat; // 'bbb'
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case -6: return sym.quadflat; // 'bbbb'
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}
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}
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// octave (C-based)
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const octave = ((n / N)|0) - 1; // AudioAdapter defines C3 to be 0x4000
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const p = ((n % N) + N) % N;
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// `tets` counts the octave endpoint (12-TET = 11)
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// Pick an accidental unit coherent with the tuning:
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// - if the TET is a multiple of 12, sharp = one semitone (so demi/sesqui
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// land on real notes when the TET is also a multiple of 24)
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// - otherwise, sharp = one TET step — this lets 19/22/31/53-TET etc. spell
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// each step as its own letter+accidental instead of collapsing neighbours
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const nTet = Math.max(1, tets);
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const accUnit = (nTet % 12 === 0) ? N/12 : N/nTet;
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// accidental offsets; k maps to a pitch shift in accUnit units:
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// 0, ±0.5 (demi), ±1 (sharp/flat), ±1.5 (sesqui), ±2 (double), ±3 (triple), ±4 (quad)
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const accValues = [
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[ 0, 0],
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[ 2, accUnit ], [-2, -accUnit ],
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[ 4, accUnit * 2 ], [-4, -accUnit * 2 ],
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[ 1, accUnit * 0.5 ], [-1, -accUnit * 0.5 ],
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[ 3, accUnit * 1.5 ], [-3, -accUnit * 1.5 ],
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[ 5, accUnit * 3 ], [-5, -accUnit * 3 ],
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[ 6, accUnit * 4 ], [-6, -accUnit * 4 ],
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];
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// exoticness cost per accidental, scaled so it only breaks ties and slightly
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// biases toward simpler accidentals. In high TETs (31, 53, ...) triple/quad
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// are structurally necessary, so penalties must stay well below one step.
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function kPenalty(k) {
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switch (Math.abs(k)) {
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case 0: return 0;
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case 2: return 2; // sharp / flat
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case 4: return 4; // double
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case 5: return 6; // triple
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case 6: return 8; // quad
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case 1: return 10; // demi — quarter-tone, usually unused outside 24n-TET
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case 3: return 12; // sesqui
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}
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}
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let best = null;
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for (let l = 0; l < 7; l++) {
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for (const [k, v] of accValues) {
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// try the letter in the previous, current, and next octave so notes near
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// the octave boundary can spell as e.g. C(next) instead of B-sharp
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for (const octShift of [-1, 0, 1]) {
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const target = base[l] + v + octShift * N;
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const err = Math.abs(p - target);
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if (err > N / 2) continue;
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const cost = err + kPenalty(k);
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if (best == null || cost < best.cost) {
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best = { letter: l, k: k, octShift: octShift, cost: cost };
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}
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}
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}
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}
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return letters[best.letter] + accidental(best.k) + octave;
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}
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for (let i = 1; i < pitchTablePresets.length; i++) {
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let preset = pitchTablePresets[i]
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println("Notes in "+preset.name+":")
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preset.table.forEach(v => {
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print(`${noteName4096(0x4000 + v, preset.table.length + 1)} `)
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})
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println()
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}
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pitchTablePresets[9].sym.forEach(s => print(s+'3\t')); println()
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pitchTablePresets[10].sym.forEach(s => print(s+'3\t')); println()
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pitchTablePresets[11].sym.forEach(s => print(s+'3\t')); println()
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