177edo: Difference between revisions
Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories |
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{{EDO intro}} | {{EDO intro}} | ||
177edo 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 === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 177 factors into {{factorization|177}}, 177edo contains [[3edo]] and [[59edo]] as its subsets. | 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. | ||