No-fives subgroup temperaments: Difference between revisions
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[[Tp tuning #T2 tuning|RMS error]]: 1.290 cents | [[Tp tuning #T2 tuning|RMS error]]: 1.290 cents | ||
==== Byhearted ==== | |||
Subgroup: 2.3.7.11.19 | |||
[[Comma list]]: 99/98, 243/242, 363/361 | |||
[[Gencom]]: [209/147 21/19; 99/98 243/242 363/361] | |||
[[Mapping|Sval mapping]]: [{{val|2 2 3 4 5}}, {{val|0 4 9 10 12}}] | |||
[[Tp tuning|POL2 generator]]: ~21/19 = 174.735 | |||
{{Optimal ET sequence|legend=1| 14, 34dh, 48, 110e, 158e }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.8727 cents | |||
== Harrison == | == Harrison == | ||
| Line 300: | Line 315: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.7541 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.7541 cents | ||
=== Skidoo === | ==== Skidoo ==== | ||
Subgroup: 2.3.7.11.13.23 | Subgroup: 2.3.7.11.13.23 | ||
| Line 317: | Line 332: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.6265 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.6265 cents | ||
==== 2.3.7.11.13.23.29 ==== | ===== 2.3.7.11.13.23.29 ===== | ||
Subgroup: 2.3.7.11.13.23.29 | Subgroup: 2.3.7.11.13.23.29 | ||
| Line 341: | Line 356: | ||
** [[:File:Locrian Suite Gavotte.mp3|VI. Gavotte I and II]] | ** [[:File:Locrian Suite Gavotte.mp3|VI. Gavotte I and II]] | ||
** [[:File:Locrian Suite Gigue.mp3|VII. Gigue]] | ** [[:File:Locrian Suite Gigue.mp3|VII. Gigue]] | ||
== Doublehearted == | |||
Subgroup: 2.3.7 | |||
[[Comma list]]: 5764801/5668704 | |||
[[Gencom]]: [2 343/324; 5764801/5668704] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 2}}, {{val|0 8 11}}] | |||
[[Tp tuning|POL2 generator]]: ~343/324 = 87.8304 | |||
{{Optimal ET sequence|legend=1| 14, 27, 41 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.5041 cents | |||
Related temperaments: [[Tetracot family|octacot]] | |||
=== 2.3.7.11 === | |||
Subgroup: 2.3.7.11 | |||
[[Comma list]]: 243/242, 2401/2376 | |||
[[Gencom]]: [2 22/21; 243/242 2401/2376] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 2 2}}, {{val|0 8 11 20}}] | |||
[[Tp tuning|POL2 generator]]: ~22/21 = 87.6512 | |||
{{Optimal ET sequence|legend=1| 14, 27e, 41, 96d, 137d, 178d }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.7147 cents | |||
Related temperaments: [[Tetracot family|octacot]] | |||
=== 2.3.7.11.19 === | |||
Subgroup: 2.3.7.11.19 | |||
[[Comma list]]: 133/132, 243/242, 343/342 | |||
[[Gencom]]: [2 19/18; 133/132 243/242 343/342] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 2 2 3}}, {{val|0 8 11 20 17}}] | |||
[[Tp tuning|POL2 generator]]: ~19/18 = 87.6684 | |||
{{Optimal ET sequence|legend=1| 14, 27e, 41 }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.7065 cents | |||
Related temperaments: [[Tetracot family|octacot]] | |||
== Magi == | == Magi == | ||
| Line 541: | Line 607: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.6108 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.6108 cents | ||
=== 2.3.7.11.13 === | ==== 2.3.7.11.13 ==== | ||
Subgroup: 2.3.7.11.13 | Subgroup: 2.3.7.11.13 | ||
| Line 557: | Line 623: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.7167 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.7167 cents | ||
==== Heartful ==== | |||
Subgroup: 2.3.7.11.19 | |||
[[Comma list]]: 243/242, 896/891, 1083/1078 | |||
[[Gencom]]: [2 21/19; 243/242 896/891 1083/1078] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 -1 2 0}}, {{val|0 4 26 10 29}}] | |||
[[Tp tuning|POL2 generator]]: ~21/19 = 175.804 | |||
{{Optimal ET sequence|legend=1| 34dh, 41, 116e, 157e }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.5360 cents | |||
Related temperaments: [[Tetracot family|bunya]] | |||
== Hearts == | == Hearts == | ||
| Line 592: | Line 675: | ||
Related temperaments: [[Tetracot family|monkey]], [[Schismatic family|sesquart]] | Related temperaments: [[Tetracot family|monkey]], [[Schismatic family|sesquart]] | ||
=== 2.3.7.11.19 === | |||
Subgroup: 2.3.7.11.19 | Subgroup: 2.3.7.11.19 | ||