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No-threes subgroup temperaments: Difference between revisions

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Temperaments discussed elsewhere include:
Temperaments discussed elsewhere include:
* Jacobin superfamily ([[6656/6655]]) → [[The Jacobins]]
* Jacobin superfamily ([[6656/6655]]) → [[The Jacobins]]
=== 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]].
[[Subgroup]]: 2.5.11
[[Comma list]]: 1331/1280
{{Mapping|legend=2| 1 1 3 | 0 3 1 }}
: mapping generators: ~2, ~11/8
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1203.0339{{c}}, ~11/8 = 528.4296{{c}}
: [[error map]]: {{val| +3.034 +2.009 -13.787 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/8 = 528.1575{{c}}
: error map: {{val| 0.000 -1.841 -23.160 }}
{{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41e, 66ee }}
[[Badness]] (Sintel): 0.718


=== Wizz ===
=== Wizz ===
Line 499: Line 479:


[[Badness]] (Sintel): 0.564
[[Badness]] (Sintel): 0.564
=== 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]].
[[Subgroup]]: 2.5.11
[[Comma list]]: 1331/1280
{{Mapping|legend=2| 1 1 3 | 0 3 1 }}
: mapping generators: ~2, ~11/8
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1203.0339{{c}}, ~11/8 = 528.4296{{c}}
: [[error map]]: {{val| +3.034 +2.009 -13.787 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/8 = 528.1575{{c}}
: error map: {{val| 0.000 -1.841 -23.160 }}
{{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41e, 66ee }}
[[Badness]] (Sintel): 0.718


=== Sephiroth ===
=== Sephiroth ===
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