No-twos subgroup temperaments: Difference between revisions
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[[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 === | ||