No-threes subgroup temperaments: Difference between revisions

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Added optimal ET sequences
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Optimal tuning (POTE): ~1664/1225 = 529.003¢  
Optimal tuning (POTE): ~1664/1225 = 529.003¢  
{{Optimal ET sequence|legend=1| 93, 245e, 338, 431, 1386c }}


=== 2.5.7.11.13.17 subgroup ===
=== 2.5.7.11.13.17 subgroup ===
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Optimal tuning (POTE): ~1664/1225 = 529.003¢  
Optimal tuning (POTE): ~1664/1225 = 529.003¢  
{{Optimal ET sequence|legend=1| 93, 338, 431, 955c, 1386cg }}


=== 2.5.7.11.13.17.19 subgroup ===
=== 2.5.7.11.13.17.19 subgroup ===
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Optimal tuning (CTE): ~16/11 = 870.966
Optimal tuning (CTE): ~16/11 = 870.966
{{Optimal ET sequence|legend=1| 7d, 11, 40, 51, 62 }}


== Bastille ==
== Bastille ==
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[[POTE generator]]: ~64/53 = 323.034
[[POTE generator]]: ~64/53 = 323.034
{{Optimal ET sequence|legend=1| 4, 7, 11, 15, 26, 141, 167, 193p, 219p, 245p }}
== Movila ==
== Movila ==
This temperament has a structure very similar to [[mavila]] but is somewhat more accurate because the generator is a flat [[11/8]] rather than a sharp [[4/3]]. The major third is still ~[[5/4]], but the minor third is now ~[[64/55]] instead of ~[[6/5]].
This temperament has a structure very similar to [[mavila]] but is somewhat more accurate because the generator is a flat [[11/8]] rather than a sharp [[4/3]]. The major third is still ~[[5/4]], but the minor third is now ~[[64/55]] instead of ~[[6/5]].
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[[CTE generator]]: ~[[11/8]] = 529.846
[[CTE generator]]: ~[[11/8]] = 529.846


[[Support]]ing [[ET]]s:  9, 7, 16, 5[-5], 25, 11, 23[-11], 12[-5, -11], 34[-11], 20[+5], 13[+5], 41[-11], 30[-5, -11], 39[-5, -11]
{{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41e, 66ee }}


== Mavericks ==
== Mavericks ==
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[[CTE generator]]: ~26/19 = 539.886
[[CTE generator]]: ~26/19 = 539.886


[[Support]]ing [[ET]]s:  20, 9, 11, 29, 31, 49, 7[-13, -19], 13[+13, +19], 5[--13, -19], 38[-13], 42[+13, +19], 16[-13, -19], 15[+13, +19], 24[+13, +19]
{{Optimal ET sequence|legend=1| 7fh, 9, 11, 20 }}


[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Subgroup temperaments]]
[[Category:Subgroup temperaments]]