No-twos subgroup temperaments: Difference between revisions

Lériendil (talk | contribs)
Lériendil (talk | contribs)
added Alhena
Line 62: Line 62:
[[Comma list]]: 245/243
[[Comma list]]: 245/243


[[Sval]] [[mapping]]: [{{val| 1 1 2 }}, {{val| 0 -2 1 }}]
[[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 ===