Archytas clan: Difference between revisions

Continue to work out the tunings for the rest
m Sort temps by split of gens
Line 515: Line 515:


Badness: 0.033971
Badness: 0.033971
== Fervor ==
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Fervor]].''
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 64/63, 9604/9375
{{Mapping|legend=1| 1 4 -2 -2 | 0 -5 9 10 }}
: mapping generators: ~2, ~7/5
{{Multival|legend=1| 5 -9 -10 -26 -30 2 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~7/5 = 577.3535
* [[POTE]]: ~2 = 1\1, ~7/5 = 577.776
{{Optimal ET sequence|legend=1| 2, 25, 27 }}
[[Badness]]: 0.108455
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 56/55, 64/63, 1350/1331
Mapping: {{mapping| 1 4 -2 -2 3 | 0 -5 9 10 1 }}
Optimal tunings:
* CTE: ~2 = 1\1, ~7/5 = 577.2958
* POTE: ~2 = 1\1, ~7/5 = 577.850
Optimal ET sequence: {{Optimal ET sequence| 2, 25e, 27e }}
Badness: 0.052054
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 56/55, 64/63, 78/77, 507/500
Mapping: {{mapping| 1 4 -2 -2 3 -4 | 0 -5 9 10 1 16 }}
Optimal tunings:
* CTE: ~2 = 1\1, ~7/5 = 577.3744
* POTE: ~2 = 1\1, ~7/5 = 578.060
Optimal ET sequence: {{Optimal ET sequence| 2f, 27e }}
Badness: 0.039705


== Progress ==
== Progress ==
Line 632: Line 581:


Badness: 0.032721
Badness: 0.032721
== Fervor ==
: ''For the 5-limit version of this temperament, see [[High badness temperaments #Fervor]].''
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 64/63, 9604/9375
{{Mapping|legend=1| 1 4 -2 -2 | 0 -5 9 10 }}
: mapping generators: ~2, ~7/5
{{Multival|legend=1| 5 -9 -10 -26 -30 2 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~7/5 = 577.3535
* [[POTE]]: ~2 = 1\1, ~7/5 = 577.776
{{Optimal ET sequence|legend=1| 2, 25, 27 }}
[[Badness]]: 0.108455
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 56/55, 64/63, 1350/1331
Mapping: {{mapping| 1 4 -2 -2 3 | 0 -5 9 10 1 }}
Optimal tunings:
* CTE: ~2 = 1\1, ~7/5 = 577.2958
* POTE: ~2 = 1\1, ~7/5 = 577.850
Optimal ET sequence: {{Optimal ET sequence| 2, 25e, 27e }}
Badness: 0.052054
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 56/55, 64/63, 78/77, 507/500
Mapping: {{mapping| 1 4 -2 -2 3 -4 | 0 -5 9 10 1 16 }}
Optimal tunings:
* CTE: ~2 = 1\1, ~7/5 = 577.3744
* POTE: ~2 = 1\1, ~7/5 = 578.060
Optimal ET sequence: {{Optimal ET sequence| 2f, 27e }}
Badness: 0.039705


== Sixix ==
== Sixix ==