No-twos subgroup temperaments: Difference between revisions
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[[Support]]ing [[ET]]s: {{EDs|b22, b5, b17, b39, b12, b61, b27, b7, b83, b49, b56, b32, b29, b100|equave=t}} | [[Support]]ing [[ET]]s: {{EDs|b22, b5, b17, b39, b12, b61, b27, b7, b83, b49, b56, b32, b29, b100|equave=t}} | ||
==== Tridecimal Mintaka ==== | |||
This extension to prime 13 works in the sharper half of the Mintaka tuning range, where the most important pental extension is [[No-twos subgroup temperaments#Mintra|Mintra]]. | |||
[[Subgroup]]: 3.7.11.13 | |||
[[Comma list]]: 1331/1323, 218491/216513 | |||
[[Sval]] [[mapping]]: [{{val| 1 0 1 10}}, {{val| 0 3 2 -13}}] | |||
Sval mapping generators: ~3, ~21/11 | |||
[[Optimal tuning]]s: | |||
* PEWE (Pure-Equaves WE): ~3 = 1\1ed3, ~[[11/7]] = 780.155 | |||
* [[CWE]]: ~3 = 1\1ed3, ~[[11/7]] = 780.183 | |||
[[Support]]ing [[ET]]s: {{EDs|b39, b22, b17, b5f, b61, b56, b100, b139f, b95, b178ef, b83f, b134, b73f, b217ef|equave=t}} | |||
==== Minalzidar ==== | |||
This extension to prime 13 works in the flatter half of the Mintaka tuning range, where the most important pental extension is [[No-twos subgroup temperaments#3.5.7.11 subgroup|Nekkar]]. | |||
[[Subgroup]]: 3.7.11.13 | |||
[[Comma list]]: 1331/1323, 351/343 | |||
[[Sval]] [[mapping]]: [{{val| 1 0 1 -3}}, {{val| 0 3 2 9}}] | |||
Sval mapping generators: ~3, ~21/11 | |||
[[Optimal tuning]]s: | |||
* PEWE (Pure-Equaves WE): ~3 = 1\1ed3, ~[[11/7]] = 774.432 | |||
* [[CWE]]: ~3 = 1\1ed3, ~[[11/7]] = 774.782 | |||
[[Support]]ing [[ET]]s: {{EDs|b5, b27, b22, b32, b17f, b37f, b12ff, b49, b59, b42df, b76, b39ff, b86d, b71f|equave=t}} | |||
== No-twos-or-threes subgroup temperaments == | == No-twos-or-threes subgroup temperaments == | ||