Subgroup temperaments: Difference between revisions
→Fractional subgroup temperaments: cleanup (4/); comment out temperaments with name conflict |
→Fractional subgroup temperaments: cleanup (5/); normalize subgroup and wart usage |
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=== Semiwolf === | === Semiwolf === | ||
[[Subgroup]]: 3/2.7/4 | [[Subgroup]]: 3/2.5/2.7/4 | ||
[[Comma list]]: 245/243 | [[Comma list]]: 245/243 | ||
{{Mapping|legend=2| 1 1 | {{Mapping|legend=2| 1 1 2 | 0 2 -1 }} | ||
[[Optimal tuning]] ([[ | : sval mapping generators: ~3/2, ~9/7 | ||
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~7/6 = 262.1728 | |||
[[Optimal ET sequence]]: [[3edf]], [[5edf]], [[8edf]] | [[Optimal ET sequence]]: [[3edf]], [[5edf]], [[8edf]] | ||
==== Semilupine ==== | ==== Semilupine ==== | ||
[[Subgroup]]: 3/2.7/4 | [[Subgroup]]: 3/2.5/2.7/4.11/4 | ||
[[Comma list]]: 100/99, 245/243 | [[Comma list]]: 100/99, 245/243 | ||
{{Mapping|legend=2| 1 1 | {{Mapping|legend=2| 1 1 2 0 | 0 2 -1 4 }} | ||
[[Optimal tuning]] ([[ | [[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~7/6 = 264.3771 | ||
[[Optimal ET sequence]]: [[8edf]], [[13edf]] | [[Optimal ET sequence]]: [[8edf]], [[13edf]] | ||
==== Hemilycan ==== | ==== Hemilycan ==== | ||
[[Subgroup]]: 3/2.7/4 | [[Subgroup]]: 3/2.5/2.7/4.11/4 | ||
[[Comma list]]: 245/243, 441/440 | [[Comma list]]: 245/243, 441/440 | ||
{{Mapping|legend=2| 1 1 | {{Mapping|legend=2| 1 1 2 5 | 0 2 -1 -4 }} | ||
[[Optimal tuning]] ([[ | [[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~7/6 = 261.5939 | ||
[[Optimal ET sequence]]: [[8edf]], [[11edf]] | [[Optimal ET sequence]]: [[8edf]], [[11edf]] | ||
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: [[gencom]]: [2 11/10; 121/120 126/125] | : [[gencom]]: [2 11/10; 121/120 126/125] | ||
[[Optimal tuning]] ([[ | [[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~11/10 = 155.776 | ||
{{Optimal ET sequence|legend=1| 8, 15, 23, 54, 77, 100, | {{Optimal ET sequence|legend=1| 8, 15, 23, 54, 77, 100, 131†, 208*† }} | ||
<nowiki>*</nowiki> wart for 5/3 | |||
<nowiki>†</nowiki> wart for 11/3 | |||
[[Tp tuning#T2 tuning|RMS error]]: 1.034 cents | [[Tp tuning#T2 tuning|RMS error]]: 1.034 cents | ||
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[[Optimal tuning]] ([[POL2]]): ~3/2 = 703.856 | [[Optimal tuning]] ([[POL2]]): ~3/2 = 703.856 | ||
{{Optimal ET sequence|legend=1| 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, | {{Optimal ET sequence|legend=1| 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595b*† }} | ||
<nowiki>*</nowiki> wart for 11/7 | |||
<nowiki>†</nowiki> wart for 13/7 | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.3789 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.3789 cents | ||