759edo: Difference between revisions

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Since {{nowrap|759 {{=}} 3 × 253}}, and 759edo shares its excellent perfect fifth with [[253edo]]. However, the primes [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] are mapped differently. With [[stretched and compressed tuning|octave stretching]], one may use 2.7.11.13 subgroup, all sharp, or 2.5.17.19.23.29.31 subgroup, all tuned flat. The 759def val [[support]]s [[noletaland]], the {{nowrap|282 & 759def}} temperament, in the 23-limit. 759edo is an amazingly accurate 2.3.37.103.229 system.

759edo is [[~~enfactoring|enfactored~~]] in the [[5~~-limit~~]], ~~with the same tuning as~~ [[~~253edo~~]]. With octave stretching, one may use 2.7.11.13 subgroup, all sharp, or 2.5.17.19.23.29.31 subgroup, all tuned flat. 759def val ~~tunes~~ [[noletaland]], 282 & ~~1323~~ temperament, in the 23-limit.

=== Prime harmonics ===

=== Subsets and supersets ===

759edo notably contains [[253edo]].

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 {{Infobox ET}}
+{{ED intro}}
-{{EDO intro|759}}
+Since {{nowrap|759 {{=}} 3 × 253}}, and 759edo shares its excellent perfect fifth with [[253edo]]. However, the primes [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] are mapped differently. With [[stretched and compressed tuning|octave stretching]], one may use 2.7.11.13 subgroup, all sharp, or 2.5.17.19.23.29.31 subgroup, all tuned flat. The 759def val [[support]]s [[noletaland]], the {{nowrap|282 &amp; 759def}} temperament, in the 23-limit. 759edo is an amazingly accurate 2.3.37.103.229 system. <!-- explain the significance of this subgroup -->
-edo is [[enfactoring|enfactored]] in the [[5-limit]], with the same tuning as [[253edo]]. With octave stretching, one may use 2.7.11.13 subgroup, all sharp, or 2.5.17.19.23.29.31 subgroup, all tuned flat. 759def val tunes [[noletaland]], 282 & 1323 temperament, in the 23-limit.
+=== Prime harmonics ===
 {{Harmonics in equal|759}}
 === Subsets and supersets ===
 edo notably contains [[253edo]].