3136/3125: Difference between revisions
→Temperaments: move descriptions to the appropriate place (this "hemimean orion" is discussed in the context of orion; that in the context of hemimean is discussed in the hemimean family page) |
→Temperaments: clarify |
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== Temperaments == | == Temperaments == | ||
=== Didacus (2.5.7) === | === Didacus (2.5.7) === | ||
Tempering out this comma in its minimal prime [[subgroup]] of 2.5.7 leads to [[ | Tempering out this comma in its minimal prime [[subgroup]] of 2.5.7 leads to [[didacus]] (a variant of [[hemithirds]] without a mapping for 3) with a generator representing [[28/25]]. See [[hemimean clan]] for extensions of didacus. | ||
=== Hemimean (2.3.5.7) === | === Hemimean (2.3.5.7) === | ||
Tempering out this comma in the full [[7-limit]] leads to the rank-3 [[hemimean | Tempering out this comma in the full [[7-limit]] leads to the rank-3 [[hemimean]] temperament, which splits the [[81/80|syntonic comma]] into two equal parts, each representing [[126/125]]~[[225/224]]. See [[hemimean family]] for the family of rank-3 temperaments where it is tempered out. | ||
Note that if we temper both 126/125 and 225/224 we get [[septimal meantone]]. | |||
=== Orion === | === Orion === | ||