Diaschismic–gothmic equivalence continuum: Difference between revisions
Move goldis here |
→Goldis: move another paragraph here (but - 55edo and 89edo as the reasons are irrelevant) |
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: ''For extensions, see [[Keegic temperaments #Aurora]] and [[Breedsmic temperaments #Hemigoldis]].'' | : ''For extensions, see [[Keegic temperaments #Aurora]] and [[Breedsmic temperaments #Hemigoldis]].'' | ||
Goldis tempers out the [[goldis comma]]. As the generator does not admit a useful interpretation in the [[5-limit]], a number of extensions are possible. One possibility is to notice that the generator is close to [[49/32]], resulting in [[hemigoldis]], which splits the generator in half. | Goldis tempers out the [[goldis comma]]. Despite being a quarter-tone in size, due to its complexity, the damage is spread out, so that simple intervals of the [[5-limit]] tend to be tuned reasonably. Possible edo tunings include [[21edo]], [[34edo]], [[55edo]], and [[89edo]]. [[34edo]] is an especially good and tone-efficient tuning (also evidenced by being the largest "golden edo" appearing in the [[optimal ET sequence]]). | ||
As the generator does not admit a useful interpretation in the [[5-limit]], a number of extensions are possible. One possibility is to notice that the generator is close to [[49/32]], resulting in [[hemigoldis]], which splits the generator in half. | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||