Schismatic family: Difference between revisions
Undo (I heard negotiation for the change is underway, but until it's done...) Tag: Undo |
→Schism: sync with archytas clan |
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{{See also| Archytas clan #Schism }} | {{See also| Archytas clan #Schism }} | ||
Schism is a relatively low-accuracy extension as it tempers out the septimal comma. The 7/4 is found at -2 fifths, represented by the minor seventh (C-Bb). | Schism is a relatively low-accuracy extension as it tempers out the septimal comma. The 7/4 is found at -2 fifths, represented by the minor seventh (C-Bb). 12edo is recommendable tuning, though 29edo (29d val), 41edo (41d val), and 53edo (53d val) can be used. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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{{Mapping|legend=1| 1 0 15 6 | 0 1 -8 -2 }} | {{Mapping|legend=1| 1 0 15 6 | 0 1 -8 -2 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1\1, ~3/2 = 702.2696 | |||
* [[POTE]]: ~2 = 1\1, ~3/2 = 701.556 | |||
{{Multival|legend=1| 1 -8 -2 -15 -6 18 }} | {{Multival|legend=1| 1 -8 -2 -15 -6 18 }} | ||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 5c, 7c, 12 }} | ||
[[Badness]]: 0.056648 | [[Badness]]: 0.056648 | ||
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Mapping: {{mapping| 1 0 15 6 13 | 0 1 -8 -2 -6 }} | Mapping: {{mapping| 1 0 15 6 13 | 0 1 -8 -2 -6 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1\1, ~3/2 = 703.3833 | |||
* POTE: ~2 = 1\1, ~3/2 = 702.136 | |||
{{Optimal ET sequence|legend=1| 12, 29de | {{Optimal ET sequence|legend=1| 5c, 7ce, 12, 29de }} | ||
Badness: 0.037482 | Badness: 0.037482 | ||