No-twos subgroup temperaments: Difference between revisions
added Alhena |
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[[Comma list]]: 245/243 | [[Comma list]]: 245/243 | ||
[[Sval]] [[mapping]]: [{{val| 1 1 2 }}, {{val| 0 - | [[Sval]] [[mapping]]: [{{val| 1 1 2 }}, {{val| 0 2 -1 }}] | ||
Sval mapping generators: ~3, ~9/7 | Sval mapping generators: ~3, ~9/7 | ||
| Line 71: | Line 71: | ||
Badness (Sintel): 0.066 | Badness (Sintel): 0.066 | ||
=== Alhena === | |||
This is a strong extension to BPS in the subgroup 3.5.7.11/2.13/4 that equates the "semitone" of [[27/25]]~[[49/45]] to [[13/12]], and then three of these intervals to [[14/11]]. | |||
[[Subgroup]]: 3.5.7.11/2.13/4 | |||
[[Comma list]]: 196/195, 325/324, 1001/1000 | |||
[[Sval]] [[mapping]]: [{{val| 1 1 2 -1 2}}, {{val| 0 2 -1 11 -4}}] | |||
Sval mapping generators: ~3, ~7/3 | |||
[[Optimal tuning]] ([[CWE]]): ~3 = 1\1edt, ~9/7 = 441.025 | |||
Supporting ETs: [[13edt|b13]], [[69edt|b69]], [[56edt|b56]], [[82edt|b82]], [[43edt|b43]], [[125edt|b125]], [[30edt|b30]], [[151edt|b151]], [[95edt|b95]], [[17edt|b17é]][+11/2], [[194edt|b194d]], [[99edt|b99]], [[181edt|b181d]], [[108edt|b108é]] | |||
(Note that é is used as the wart for 11/2.) | |||
Badness (Sintel): 0.187 | |||
=== Mintra === | === Mintra === | ||