No-twos subgroup temperaments: Difference between revisions

Lériendil (talk | contribs)
Lériendil (talk | contribs)
Line 99: Line 99:


[[Support]]ing [[ET]]s: {{EDs|b13, b11cd, b193, b15cd, b180, b24c, b167, b37c, b154, 141, b50c, b28cd, b128, b63c|equave=t}}
[[Support]]ing [[ET]]s: {{EDs|b13, b11cd, b193, b15cd, b180, b24c, b167, b37c, b154, 141, b50c, b28cd, b128, b63c|equave=t}}
=== Nekkar ===
This temperament is the no-twos restriction of [[squares]], and as such is named after a star that belonged to the obsolete constellation of Quadrans Muralis, whose name has to do with squares.
[[Subgroup]]: 3.5.7
[[Comma list]]: 35303692060125/33232930569601
{{Mapping|legend=2|1 8 3|0 -16 -3}}
Sval mapping generators: ~3, ~16807/10935
[[Optimal tuning]] ([[CWE]]): ~3 = 1\1edt, ~16807/10935 = 776.767
[[Support]]ing [[ET]]s: 22, 49, 5c, 71, 27, 17c, 120, 93, 76c, 32cc, 169d, 115, 191d, 164d
==== 11-limit ====
''See also [[No-twos subgroup temperaments#Mintaka|Mintaka]].''
This continues the canonical 11-limit extension of squares.
[[Subgroup]]: 3.5.7.11
[[Comma list]]: 1331/1323, 120285/117649
{{Mapping|legend=2|1 8 3 3|0 -16 -3 -2}}
Sval mapping generators: ~3, ~11/7
[[Optimal tuning]] ([[CWE]]): ~3 = 1\1edt, ~11/7 = 776.781
[[Support]]ing [[ET]]s: 22, 49, 71, 5c, 27, 120, 93, 17c, 76c, 169d, 191d, 115, 164d, 125cd
==== 3.5.7.11.19 subgroup ====
[[Subgroup]]: 3.5.7.11.19
[[Comma list]]: 1045/1029, 1331/1323, 6561/6517
{{Mapping|legend=2|1 8 3 3 -1|0 -16 -3 -2 9}}
Sval mapping generators: ~3, ~11/7
[[Optimal tuning]] ([[CWE]]): ~3 = 1\1edt, ~11/7 = 776.959
[[Support]]ing [[ET]]s: 22, 71, 49, 27, 93, 115


=== Sirius ===
=== Sirius ===