177edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro}}
+{{ED intro}}
-The patent val tempers out [[245/243]] and [[2401/2400]] in the 7-limit, [[support]]ing and providing a good tuning for the [[octacot]] temperament.
+edo is [[consistent]] to the [[7-odd-limit]], but [[harmonic]] [[3/1|3]] is about halfway between its steps. It has good approximations to [[5/1|5]], [[7/1|7]], [[9/1|9]], [[13/1|13]], and [[19/1|19]], making it suitable for a 2.9.5.7.13.19 [[subgroup]] interpretation, which is equivalent to every other step of [[354edo]].
+Consider the full 7-limit patent val nonetheless, the equal temperament [[tempering out|tempers out]] [[245/243]] and [[2401/2400]], [[support]]ing and providing a good tuning for the [[octacot]] temperament.
 === Odd harmonics ===
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 === Subsets and supersets ===
-Since 177 factors into {{factorization|177}}, 177edo contains [[3edo]] and [[59edo]] as its subsets. [[354edo]], which doubles it, provides good correction for the approximation of harmonic 3.
+Since 177 factors into {{factorization|177}}, 177edo contains [[3edo]] and [[59edo]] as its subsets. 354edo, which doubles it, provides good correction for the approximation of harmonic 3.