Passion family: Difference between revisions
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CompactStar (talk | contribs) Add information about connection to 12edo. |
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== Passion == | == Passion == | ||
Passion is generated by a ~16/15 semitone, five of which reach a ~4/3 perfect fourth; its [[ploidacot]] is omega-pentacot. It follows that both 3 and 5 should be tuned sharp. [[73edo]] does this and may be recommended as a tuning. | Passion is generated by a ~16/15 semitone, five of which reach a ~4/3 perfect fourth; its [[ploidacot]] is omega-pentacot. It follows that both 3 and 5 should be tuned sharp. [[73edo]] does this and may be recommended as a tuning. It produces a [[1L 11s]] mos scale, which serves as a [[well temperament]] of 12edo (although most non-12edo tunings of Passion[12] are still clearly [[xenharmonic]]). The small non-12edo tunings of passion are all of the form 12''n''+1-edo. | ||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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Those all use the same nominal generator as passion. | Those all use the same nominal generator as passion. | ||
The only weak extension we are considering is freivald, which adds [[6144/6125]] to the comma list and splits the generator in two. | The only weak extension we are considering is freivald, which adds [[6144/6125]] to the comma list and splits the generator in two. | ||
== Septimal passion == | == Septimal passion == | ||