No-twos subgroup temperaments: Difference between revisions

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 [[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]],  [[123edt|b123]], [[136edt|b136]]
+=== Alioth ===
+This temperament uses a weak extension to 3.5.7.17 similar to what [[Dubhe]] does: tempering out [[2025/2023]] to split the 7-limit generator in half; in this case, 25/7 is split into two intervals of [[17/9]], which turns out to occupy the position of a [[macrodiatonic]] fifth, specifically a macro-[[flattone]] fifth.
+[[Subgroup]]: 3.5.7.17
+[[Comma list]]: 3125/3087, 2025/2023
+{{Mapping|legend=2|1 4 6 3|0 -6 -10 -1}}
+: sval mapping generators: ~3, ~27/17
+[[Optimal tuning]] ([[CWE]]): ~3 = 1\1edt, ~17/9 = 1097.800
+[[Support]]ing [[ET]]s: 26, 7, 19, 45, 71, 97, 33, 123, 12d, 149, 59d, 175, 64d, 85cd
+Badness (Sintel): 0.383
 = 3.5.11 subgroup temperaments =