297edo: Difference between revisions

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{{~~EDO~~ intro~~|297}}~~

~~==Theory==~~

~~297edo is consistent in the 7-limit, and being a multiple of 9, it tempers out the [[Septimal ennealimma|tritrizo]] comma.~~

~~297cddee val is a tuning for the musneb temperament.~~

~~===Harmonics===~~

~~{{harmonics in equal|297~~}}

[[~~Category:Equal divisions of~~ the ~~octave~~|~~###~~]]

Since {{nowrap|297 {{=}} 3 × 99}}, 297edo is [[enfactoring|enfactored]] in the [[7-limit]] with the same tuning as [[99edo]]. It is only [[consistent]] in the [[7-odd-limit]], unlike 99edo. In the 11-limit, the 297e [[val]] is the most reasonable, and it corrects [[99edo]]'s [[harmonic]] [[11/1|11]] somewhat closer to just, tempering out [[4000/3993]].

The 297cddee val is a tuning for the [[musneb]] temperament.

=== Odd harmonics ===

=== Subsets and supersets ===

Since 297 factors into {{factorization|297}}, 297edo has subset edos {{EDOs| 3, 9, 11, 27, 33, and 99 }}.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-{{EDO intro|297}}
+{{ED intro}}
-==Theory==
-edo is consistent in the 7-limit, and being a multiple of 9, it tempers out the [[Septimal ennealimma|tritrizo]] comma.
-cddee val is a tuning for the musneb temperament.
-===Harmonics===
-{{harmonics in equal|297}}
-[[Category:Equal divisions of the octave|###]]
+Since {{nowrap|297 {{=}} 3 × 99}}, 297edo is [[enfactoring|enfactored]] in the [[7-limit]] with the same tuning as [[99edo]]. It is only [[consistent]] in the [[7-odd-limit]], unlike 99edo. In the 11-limit, the 297e [[val]] is the most reasonable, and it corrects [[99edo]]'s [[harmonic]] [[11/1|11]] somewhat closer to just, tempering out [[4000/3993]].
+The 297cddee val is a tuning for the [[musneb]] temperament.
+=== Odd harmonics ===
+{{Harmonics in equal|297}}
+=== Subsets and supersets ===
+Since 297 factors into {{factorization|297}}, 297edo has subset edos {{EDOs| 3, 9, 11, 27, 33, and 99 }}.