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FIXES ISSUE #4018 More default EDOs for temperament #4022

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Oct 4, 2024
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181 changes: 181 additions & 0 deletions js/utils/musicutils.js
Original file line number Diff line number Diff line change
Expand Up @@ -1555,6 +1555,10 @@ const OSCTYPES = [
*/
const INITIALTEMPERAMENTS = [
[_("Equal (12EDO)"), "equal", "equal"],
[_("Equal (5EDO)"), "equal5", "equal5"],
[_("Equal (7EDO)"), "equal7", "equal7"],
[_("Equal (19EDO)"), "equal19", "equal19"],
[_("Equal (31EDO)"), "equal31", "equal31"],
[_("5-limit Just Intonation"), "just intonation", "just intonation"],
[_("Pythagorean (3-limit JI)"), "Pythagorean", "Pythagorean"],
[_("Meantone") + " (1/3)", "1/3 comma meantone", "meantone (1/3)"],
Expand All @@ -1567,6 +1571,10 @@ const INITIALTEMPERAMENTS = [
*/
let TEMPERAMENTS = [
[_("Equal (12EDO)"), "equal", "equal"],
[_("Equal (5EDO)"), "equal5", "equal5"],
[_("Equal (7EDO)"), "equal7", "equal7"],
[_("Equal (19EDO)"), "equal19", "equal19"],
[_("Equal (31EDO)"), "equal31", "equal31"],
[_("5-limit Just Intonation"), "just intonation", "just intonation"],
[_("Pythagorean (3-limit JI)"), "Pythagorean", "Pythagorean"],
[_("Meantone") + " (1/3)", "1/3 comma meantone", "meantone (1/3)"],
Expand All @@ -1580,6 +1588,10 @@ let TEMPERAMENTS = [
*/
const PreDefinedTemperaments = {
"equal": true,
"equal5": true,
"equal7": true,
"equal19": true,
"equal31": true,
"just intonation": true,
"Pythagorean": true,
"1/3 comma meantone": true,
Expand Down Expand Up @@ -1631,6 +1643,175 @@ const TEMPERAMENT = {
"perfect 8"
]
},
"equal5":{
// Equal 5EDO temperament: 5 Equal Divisions of the Octave
"perfect 1": Math.pow(2, 0 / 5),//Unison
"minor 2": Math.pow(2, 1 / 5),
"augmented 1": Math.pow(2, 1 / 5),
"major 2": Math.pow(2, 2 / 5),
"augmented 2": Math.pow(2, 2 / 5),
"minor 3": Math.pow(2, 2/ 5),
"major 3": Math.pow(2, 3 / 5),
"augmented 3": Math.pow(2, 3 / 5),
"diminished 4": Math.pow(2, 3 / 5),
"perfect 4": Math.pow(2, 3 / 5),
"augmented 4": Math.pow(2, 4 / 5),
"diminished 5": Math.pow(2, 4 / 5),
"perfect 5": Math.pow(2, 5 / 5),
"augmented 5": Math.pow(2, 5 / 5),
"minor 6": Math.pow(2, 5 / 5),
"major 6": Math.pow(2, 5 / 5),
"augmented 6": Math.pow(2, 5 / 5),
"minor 7": Math.pow(2, 5 / 5),
"major 7": Math.pow(2, 5 / 5),
"augmented 7": Math.pow(2, 5 / 5),
"diminished 8": Math.pow(2, 5 / 5),
"perfect 8": Math.pow(2, 5 / 5),
"pitchNumber": 5,
"interval": [
"perfect 1",
"minor 2",
"major 2",
"major 3",
"augmented 4",
"perfect 5"

]
},
"equal7":{
// Equal 7EDO Temperament: 7 Equal Divisions of the Octave
"perfect 1": Math.pow(2, 0 / 7),//Unison
"minor 2": Math.pow(2, 1 / 7),
"augmented 1": Math.pow(2, 1 / 7),
"major 2": Math.pow(2, 2 / 7),
"augmented 2": Math.pow(2, 2 / 7),
"minor 3": Math.pow(2, 3 / 7),
"major 3": Math.pow(2, 3 / 7),
"augmented 3": Math.pow(2, 4 / 7),
"diminished 4": Math.pow(2, 4 / 7),
"perfect 4": Math.pow(2, 4 / 7),
"augmented 4": Math.pow(2, 5 / 7),
"diminished 5": Math.pow(2, 4 / 7),
"perfect 5": Math.pow(2, 5 / 7),
"augmented 5": Math.pow(2, 6 / 7),
"minor 6": Math.pow(2, 5 / 7),
"major 6": Math.pow(2, 6 / 7),
"augmented 6": Math.pow(2, 7 / 7),
"minor 7": Math.pow(2, 6 / 7),
"major 7": Math.pow(2, 6 / 7),
"augmented 7": Math.pow(2, 7 / 7),// wraps around
"diminished 8": Math.pow(2, 7 / 7),
"perfect 8": Math.pow(2, 7 / 7),
"pitchNumber": 7,
"interval": [
"perfect 1",
"minor 2",
"major 2",
"major 3",
"perfect 4",
"perfect 5",
"major 6",
"perfect 8"
]
},
"equal19":{
// Equal 19EDO Temperament: 19 Equal Divisions of the Octave
"perfect 1": Math.pow(2, 0 / 19),
"minor 2": Math.pow(2, 2 / 19),
"augmented 1": Math.pow(2, 1 / 19),
"major 2": Math.pow(2, 3 / 19),
"augmented 2": Math.pow(2, 4 / 19),
"minor 3": Math.pow(2, 5 / 19),
"major 3": Math.pow(2, 6 / 19),
"augmented 3": Math.pow(2, 7 / 19),
"diminished 4": Math.pow(2, 7 / 19),
"perfect 4": Math.pow(2, 8 / 19),
"augmented 4": Math.pow(2, 9 / 19),
"diminished 5": Math.pow(2, 9 / 19),
"perfect 5": Math.pow(2, 10 / 19),
"augmented 5": Math.pow(2, 11 / 19),
"minor 6": Math.pow(2, 12 / 19),
"major 6": Math.pow(2, 13 / 19),
"augmented 6": Math.pow(2, 14 / 19),
"minor 7": Math.pow(2, 15 / 19),
"major 7": Math.pow(2, 16 / 19),
"augmented 7": Math.pow(2, 17 / 19),
"diminished 8": Math.pow(2, 18 / 19),
"perfect 8": Math.pow(2, 19 / 19),
"pitchNumber": 19,
"interval": [
"perfect 1",
"augmented 1",
"minor 2",
"major 2",
"augmented 2",
"minor 3",
"major 3",
"augmented 3",
"perfect 4",
"augmented 4",
"perfect 5",
"augmented 5",
"minor 6",
"major 6",
"augmented 6",
"minor 7",
"major 7",
"augmented 7",
"diminished 8",
"perfect 8",
]
},
"equal31":{
// Equal 31EDO Temperament: 31 Equal Divisions of the Octave
"perfect 1": Math.pow(2, 0 / 31),
"minor 2": Math.pow(2, 3 / 31),
"augmented 1": Math.pow(2, 2 / 31),
"major 2": Math.pow(2, 5 / 31),
"augmented 2": Math.pow(2, 6 / 31),
"minor 3": Math.pow(2, 8 / 31),
"major 3": Math.pow(2, 10 / 31),
"augmented 3": Math.pow(2, 11 / 31),
"diminished 4": Math.pow(2, 12 / 31),
"perfect 4": Math.pow(2, 13 / 31),
"augmented 4": Math.pow(2, 15 / 31),
"diminished 5": Math.pow(2, 16 / 31),
"perfect 5": Math.pow(2, 18 / 31),
"augmented 5":Math.pow(2, 19 / 31),
"minor 6": Math.pow(2, 21 / 31),
"major 6": Math.pow(2, 23 / 31),
"augmented 6": Math.pow(2, 24 / 31),
"minor 7": Math.pow(2, 26 / 31),
"major 7": Math.pow(2, 28 / 31),
"augmented 7": Math.pow(2, 29 / 31),
"diminished 8": Math.pow(2, 30 / 31),
"perfect 8": Math.pow(2, 31 / 31),
"pitchNumber": 21,
"interval": [
"perfect 1",
"augmented 1",
"minor 2",
"major 2",
"augmented 2",
"minor 3",
"major 3",
"augmented 3",
"diminished 4",
"perfect 4",
"augmented 4",
"diminished 5",
"perfect 5",
"augmented 5",
"minor 6",
"major 6",
"augmented 6",
"minor 7",
"major 7",
"augmented 7",
"diminished 8",
"perfect 8"
]
},
"just intonation": {
"perfect 1": 1 / 1,
"minor 2": 16 / 15,
Expand Down
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