5th-octave temperaments: Difference between revisions
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{{Mapping|legend=1| 5 8 12 0 | 0 0 0 1 }} | {{Mapping|legend=1| 5 8 12 0 | 0 0 0 1 }} | ||
: | : Mapping generators: ~9/8, ~7 | ||
{{Multival|legend=1| 0 0 5 0 8 12 }} | {{Multival|legend=1| 0 0 5 0 8 12 }} | ||
[[Optimal tuning]] ([[POTE]]): ~9/8 = | [[Optimal tuning]] ([[POTE]]): ~9/8 = 1＼5, ~7/4 = 1017.903 | ||
{{Optimal ET sequence|legend=1| 5, 15ccd }} | {{Optimal ET sequence|legend=1| 5, 15ccd }} | ||
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== Slendrismic == | == Slendrismic == | ||
: <small>''See also: [[No-fives subgroup temperaments #Slendrismic]] and [[Slendrisma]]''</small> | |||
Subgroup: 2.3.7 | [[Subgroup]]: 2.3.7 | ||
Comma list: 68719476736/68641485507 | [[Comma list]]: 68719476736/68641485507 | ||
{{Mapping|legend=1|5 0 18|0 2 -1}} | {{Mapping|legend=1|5 0 18|0 2 -1}} | ||
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{{Main| Pentonisma }} | {{Main| Pentonisma }} | ||
Subgroup: 2.3.5.7.11.13 | [[Subgroup]]: 2.3.5.7.11.13 | ||
Comma list: 281974669312/281950621875 | [[Comma list]]: 281974669312/281950621875 | ||
{{ | [[Mapping]]: [{{val|5 0 0 0 0 24}}, {{val|0 1 0 0 0 -1}}, {{val|0 0 1 0 0 -1}}, {{val|0 0 0 1 0 1}}, {{val|0 0 0 0 1 0}}] | ||
: Mapping generators: ~224/195 = 1＼5, ~3, ~5, ~7, ~11 | : Mapping generators: ~224/195 = 1＼5, ~3, ~5, ~7, ~11 | ||
Supporting ETs: {{ | Supporting ETs: {{Optimal ET sequence|10, 50, 80, 120, 125, 270, 2000, 2460, 3125, 3395, 5585}} | ||