Subgroup temperaments: Difference between revisions

Overthink (talk | contribs)
Trisect: mention weak extension
Overthink (talk | contribs)
Trisect: add a further extension
Line 1,479: Line 1,479:
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~44/35 = 1\3, ~13/9 = 633.918
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~44/35 = 1\3, ~13/9 = 633.918


{{Optimal ET sequence|legend=1| 15, 21, 36, 87, 123, 159 }}
{{Optimal ET sequence|legend=1| 15, 21f, 36, 87, 123, 159 }}


[[Tp tuning #T2 tuning|RMS error]]: ???
[[Tp tuning #T2 tuning|RMS error]]: ???
Line 1,493: Line 1,493:
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~34/27 = 1\3, ~13/9 = 633.820
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~34/27 = 1\3, ~13/9 = 633.820


{{Optimal ET sequence|legend=1| 15, 21, 36, 123, 159 }}
{{Optimal ET sequence|legend=1| 15, 21fg, 36, 123, 159 }}
 
[[Tp tuning #T2 tuning|RMS error]]: ???
 
===== Trisector =====
 
[[Subgroup]]: 2.3.7.11/5.13.17.19
 
[[Comma list]]: 210/209, 273/272, 286/285, 595/594, 2080/2079
 
{{Mapping|legend=2| 3 0 10 5 0 -2 8 | 0 3 -1 -1 7 9 3 }}
 
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~34/27 = 1\3, ~13/9 = 633.894
 
{{Optimal ET sequence|legend=1| 15, 21fg, 36, 123h, 159h }}
 
[[Tp tuning #T2 tuning|RMS error]]: ???
 
===== 2.3.7.11/5.13.17.19.23 subgroup =====
 
[[Subgroup]]: 2.3.7.11/5.13.17.19.23
 
[[Comma list]]: 210/209, 231/230, 273/272, 286/285, 595/594, 2080/2079
 
{{Mapping|legend=2| 3 0 10 5 0 -2 8 12 | 0 3 -1 -1 7 9 3 1 }}
 
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~34/27 = 1\3, ~13/9 = 634.038
 
{{Optimal ET sequence|legend=1| 15g, 21fg, 36, 87, 123hi }}
 
[[Tp tuning #T2 tuning|RMS error]]: ???
 
===== 2.3.7.11/5.13.17.19.23.29 subgroup =====
 
[[Subgroup]]: 2.3.7.11/5.13.17.19.23.29
 
[[Comma list]]: 210/209, 231/230, 273/272, 286/285, 320/319, 595/594, 2080/2079
 
{{Mapping|legend=2| 3 0 10 5 0 -2 8 12 13 | 0 3 -1 -1 7 9 3 1 1 }}
 
[[Optimal tuning]] ([[Tp tuning|subgroup POTE]]): ~29/23 = 1\3, ~13/9 = 634.102
 
{{Optimal ET sequence|legend=1| 15g, 21fg, 36, 87, 123hi }}


[[Tp tuning #T2 tuning|RMS error]]: ???
[[Tp tuning #T2 tuning|RMS error]]: ???