2.5.7 subgroup: Difference between revisions

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m Commas & rank-2 temperaments: add a notable temp of 2.5.7 *not* supported by 31edo / birds
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=== 2.5.7[6 & 60] = 2.5.7-subgroup restriction of [[Waage]] ([[244140625/240945152]]) ===
=== 2.5.7[6 & 60] = 2.5.7-subgroup restriction of [[Waage]] ([[244140625/240945152]]) ===
This temperament sharpens [[~]][[28/25]] by 3.8{{cent}} to make it equal to 1\6 so that [[6edo]] is made a [[strongly consistent circle]] of 28/25's, so it is one of the [[6th-octave temperaments]]. It contrasts the close relation of the 2.5.7 subgroup to hexatonic structure in an intriguing way by contrasting it with ''equalized'' hexatonic structure, chosen to represent ~28/25.
This temperament sharpens [[~]][[28/25]] by 3.8{{cent}} to make it equal to 1\6 so that [[6edo]] is made a [[strongly consistent circle]] of 28/25's, so it is one of the [[6th-octave temperaments]]. It relates the close relation of the 2.5.7 subgroup to hexatonic structure in an intriguing way by contrasting it with ''equalized'' hexatonic structure, chosen to represent ~28/25.


=== [[Cloudy]] ([[16807/16384]]) ===
=== [[Cloudy]] ([[16807/16384]]) ===