Schismatic family: Difference between revisions
FilterNashi (talk | contribs) →Maqamschismic (2.3.5.13): 325/234 → 325/324 this might be a typo Tags: Mobile edit Mobile web edit Advanced mobile edit |
→Subgroup extensions: normalize to 2.3.5.11 first. Unify precision and various cleanup. |
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== Subgroup extensions == | == Subgroup extensions == | ||
=== Maqamschismic (2.3.5.11) === | |||
Proposed by [[Eufalesio]] in 2026, maqamschismic is the no-7 [[restriction]] of 13-limit [[cassandra]]; it is unclear what relation this temperament has with maqam. | |||
Subgroup: 2.3.5.11 | |||
Subgroup: 2.3.5. | |||
Comma list: | Comma list: 2200/2187, 4125/4096 | ||
Mapping: {{mapping| 1 1 7 -10 | 0 1 -8 23 }} | |||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = 1200.5458{{c}} ~3/2 = 702.4021{{c}} | |||
* CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0906{{c}} | |||
{{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e, 241ce, 335ce }} | |||
Badness (Sintel): 1.34 | |||
Badness (Sintel): | |||
==== 2.3.5.11.13 subgroup ==== | ==== 2.3.5.11.13 subgroup ==== | ||
Subgroup: 2.3.5.11.13 | Subgroup: 2.3.5.11.13 | ||
Comma list: | Comma list: 325/324, 352/351, 4125/4096 | ||
Mapping: {{mapping| 1 1 7 -10 -8| 0 1 -8 23 20}} | Mapping: {{mapping| 1 1 7 -10 -8 | 0 1 -8 23 20 }} | ||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = 1200.4565{{c}} ~3/2 = 702.3057{{c}} | |||
* CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0485{{c}} | |||
{{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e }} | |||
{{Optimal ET sequence|legend=0|12e, 41, 53, 94, 147e}} | |||
Badness (Sintel): 0.862 | Badness (Sintel): 0.862 | ||