No-twos subgroup temperaments: Difference between revisions

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 [[Badness]] (Sintel): 0.216
+=== Pentapassion ===
+Named by [[User:2^67-1|Cole]] in 2026, Pentapassion is a [[weak extension]] of Pentadacus to the 5.7.11.13 subgroup that splits the generator in half, making the new generator a semitone. [[13/5]] (the pentave-reduced 13th harmonic) is found at 17 of these new generators up. It is named in reference to the octave-equivalent [[Passion]] temperament, which has a similar generator, and in both temperaments [[7/5]] is mapped to 6 generators up.
+[[Subgroup]]: 5.7.11.13
+[[Comma list]]: [[847/845]], 831875/823543
+{{Mapping|legend=3| 1 1 1 1 | 0 6 14 17 }}
+: mapping generators: ~5, ~343/325
+[[Optimal tuning]]s:
+* [[WE]]: ~5 = 2785.855{{c}}, ~55/49 = 194.939{{c}}
+: [[error map]]: {{val| -0.459 +1.384 -1.968 +1.000 }}
+* [[CWE]]: ~5 = 2786.314{{c}}, ~55/49 = 194.908{{c}}
+: error map: {{val| 0.000 +1.803 -1.601 +1.347 }}
+[[Optimal ET sequence]]: TBA
+[[Badness]] (Sintel): 0.277
 == Antipyth ==