Sensipent family: Difference between revisions
m →Full 7-limit extensions: note subgroup extensions here briefly to allow the term "Full 7-limit extensions" to seem more natural contextually |
m →2.3.5.31: rework the subgroup extensions as being extending *from* 2.3.5.31 |
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This extension can be applied to many other extensions. Note that optimal ET sequences here often omit some [[val]] of [[84edo]], which is a good tuning for interpreting the generator as 31/24~40/31 such that 24:31:40 is a chord of [0, 1, 2] generator steps, by preferring a flatter fifth as in the 2.3.5.31-subgroup extension, as the 5-limit generator is both complex and relatively high in damage for its complexity. | This extension can be applied to many other extensions. Note that optimal ET sequences here often omit some [[val]] of [[84edo]], which is a good tuning for interpreting the generator as 31/24~40/31 such that 24:31:40 is a chord of [0, 1, 2] generator steps, by preferring a flatter fifth as in the 2.3.5.31-subgroup extension, as the 5-limit generator is both complex and relatively high in damage for its complexity. | ||
Subgroup: 2.3.5.31 | Subgroup: 2.3.5.31 | ||
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Badness (Sintel): 0.243 | Badness (Sintel): 0.243 | ||
==== Subgroup extensions ==== | |||
[[#Sensible|Sensible]] is a less sparse subgroup extension present in smaller edo tunings like [[111edo]] at the cost of a little accuracy. [[#Sendai|Sendai]] is more accurate but the subgroup is more sparse. Combining both with 2.3.5.7.13-subgroup sensi (called sensation) yields a high-limit temperament that is very constrained in tuning, for which [[65edo]] is an approximate tuning. | |||
=== Sensible === | === Sensible === | ||