No-threes subgroup temperaments: Difference between revisions

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{{Optimal ET sequence|legend=1| 6, 16, 22, 28, 29, 35, 41, 57, 63, 98c }}
{{Optimal ET sequence|legend=1| 6, 16, 22, 28, 29, 35, 41, 57, 63, 98c }}


== Pure onzonic ==
== Higher 2.5 temperaments ==
 
=== Pure onzonic ===
The 2.5.11.13 subgroup primarily contains temperaments developed for 1789edo, since it tempers out the jacobin comma 6656/6655, for which 2.5.11.13 is the subgroup, and the year 1789 is hallmark for the French revolution.
The 2.5.11.13 subgroup primarily contains temperaments developed for 1789edo, since it tempers out the jacobin comma 6656/6655, for which 2.5.11.13 is the subgroup, and the year 1789 is hallmark for the French revolution.


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{{Optimal ET sequence|legend=1|37, 1789}}
{{Optimal ET sequence|legend=1|37, 1789}}


== 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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{{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41e, 66ee }}
{{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41e, 66ee }}


== Insect ==
=== Insect ===
[[Subgroup]]: 2.5.11
[[Subgroup]]: 2.5.11


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{{Optimal ET sequence|legend=1|9, 13, 22, 97e, 119e, 141e, 163e, 304ceee}}
{{Optimal ET sequence|legend=1|9, 13, 22, 97e, 119e, 141e, 163e, 304ceee}}


== Superquintal ==
=== Superquintal ===
[[Subgroup]]: 2.5.13
[[Subgroup]]: 2.5.13


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{{Optimal ET sequence|legend=1|8, 13, 21, 34, 81, 115}}
{{Optimal ET sequence|legend=1|8, 13, 21, 34, 81, 115}}


== Trader ==
=== Trader ===
[[Subgroup]]: 2.5.13
[[Subgroup]]: 2.5.13


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{{Optimal ET sequence|legend=1|3, 20c, 23c, 26c}}
{{Optimal ET sequence|legend=1|3, 20c, 23c, 26c}}


== Vengeance ==
=== Vengeance ===
''Main article: [[vengeance]]''<br><br>
''Main article: [[vengeance]]''<br><br>