295edo: Difference between revisions

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~~259edo divides the octave into steps of 4.0677 cents each. It factors as 5 * 59.~~

== ~~Theory~~ ==

295edo is only [[consistent]] to the [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise it does well in approximating harmonics [[5/1|5]] and [[7/1|7]], making it suitable for a 2.9.5.7 [[subgroup]] interpretation. Using the full 7-limit interpretation nonetheless, the 295d [[val]] is a tuning for the [[octagar]] temperament, and 295ccdd is a tuning for [[sensi]].

=== Odd harmonics ===

=== Subsets and supersets ===

Since 295 factors into {{factorization|295}}, 295edo contains [[5edo]] and [[59edo]] as its subsets.

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-edo divides the octave into steps of 4.0677 cents each. It factors as 5 * 59.
+{{Infobox ET}}
+{{ED intro}}
-== Theory ==
+edo is only [[consistent]] to the [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise it does well in approximating harmonics [[5/1|5]] and [[7/1|7]], making it suitable for a 2.9.5.7 [[subgroup]] interpretation. Using the full 7-limit interpretation nonetheless, the 295d [[val]] is a tuning for the [[octagar]] temperament, and 295ccdd is a tuning for [[sensi]].
+=== Odd harmonics ===
 {{Harmonics in equal|295}}
+=== Subsets and supersets ===
+Since 295 factors into {{factorization|295}}, 295edo contains [[5edo]] and [[59edo]] as its subsets.