Breed family: Difference between revisions
→Freyr: notation |
Implement the proposed changes (see talk) |
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: [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.3.11/5 | : [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.3.11/5 | ||
{{Optimal ET sequence|legend=1| | {{Optimal ET sequence|legend=1| 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }} | ||
[[Badness]] (Sintel): 0.593 | [[Badness]] (Sintel): 0.593 | ||
=== | === Pavaka === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness (Sintel): 0.863 | Badness (Sintel): 0.863 | ||
=== Svaha === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 325/324, 385/384, 1375/1372 | |||
Mapping: {{mapping| 1 1 1 2 5 4 | 0 2 1 1 0 6 | 0 0 2 1 -3 -4 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1200.3582{{c}}, ~49/40 = 351.0784{{c}}, ~10/7 = 617.0054{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0491{{c}}, ~10/7 = 616.8317{{c}} | |||
{{Optimal ET sequence|legend=0| 41, 68, 72, 140, 212, 393ce, 465cef, 677cdeeff }} | |||
Badness (Sintel): 0.997 | |||
== Zisa == | == Zisa == | ||
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=== 13-limit === | === 13-limit === | ||
Tridecimal freya maps [[352/351]] to the half-kleisma. It has [[miraculous]] as a sub-temperament. | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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=== Eir === | === Eir === | ||
Eir maps [[325/324]], [[364/363]], and [[729/728]] to the half-kleisma and has [[manna]] as a sub-temperament. {{U|VIxen}} named this extension after a healer goddess or valkyrie from the Norse mythology, as it extends freya via the [[ibnsinma]], which evokes associations with medicine. | |||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0880{{c}}, ~84/55 = 733.2482{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0880{{c}}, ~84/55 = 733.2482{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 41, 72, 157, 185cf, 198, 270, 581, 851, 1504, 1774f, 2085, 2355f }} | ||
Badness (Sintel): 0.543 | Badness (Sintel): 0.543 | ||
==== | ==== 2.3.5.7.11.13.19 subgroup ==== | ||
Subgroup: 2.3.5.7.11.13.19 | |||
Comma list: 1540/1539, 2080/2079, 2401/2400, 3025/3024 | |||
Subgroup-val mapping: {{mapping| 1 1 -1 1 5 5 3 | 0 2 3 2 1 6 -2 | 0 0 4 2 -3 -5 3 }} | |||
Optimal tunings: | Optimal tunings: | ||
* WE: ~2 = | * WE: ~2 = 1199.9951{{c}}, ~49/40 = 351.0906{{c}}, ~84/55 = 733.2475{{c}} | ||
* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351. | * CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0913{{c}}, ~84/55 = 733.2473{{c}} | ||
{{Optimal ET sequence|legend=0| | {{Optimal ET sequence|legend=0| 41, 72, 113, 157, 198, 270, 581, 851, 2085, 2355f }} | ||
Badness (Sintel): 0. | Badness (Sintel): 0.500 | ||
=== Heimlaug === | === Heimlaug === | ||
VIxen named this extension after a völva (seeress) from the Gull-Þóris saga of Icelanders | Heimlaug maps [[351/350]] and [[625/624]] to the half-kleisma and has [[benediction]] as a subtemperament. VIxen named this extension after a völva (seeress) from the Gull-Þóris saga of Icelanders, as it extends freya via the [[1001/1000|fairytale comma]], adding to the mystical theme. | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness (Sintel): 0.562 | Badness (Sintel): 0.562 | ||
== Vili == | == Vili == | ||