777edo: Difference between revisions

Adopt template: Factorization; misc. cleanup
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|777}}
{{ED intro}}


777edo is in[[consistent]] to [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise it is excellent in approximating harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], and [[17/1|17]], making it suitable for a 2.9.5.7.11.13.17 [[subgroup]] interpretation. A [[comma basis]] for the 2.9.5.7.11.13 subgroup is {4459/4455, [[41503/41472]], 496125/495616, 105644/105625, [[123201/123200]]}. In addition, it [[tempering out|tempers out]] the [[landscape comma]] in the 2.9.5.7 subgroup.
777edo is in[[consistent]] to [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps. Otherwise it is excellent in approximating harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], and [[17/1|17]], making it suitable for a 2.9.5.7.11.13.17 [[subgroup]] interpretation. A [[comma basis]] for the 2.9.5.7.11.13 subgroup is {4459/4455, [[41503/41472]], 496125/495616, 105644/105625, [[123201/123200]]}. In addition, it [[tempering out|tempers out]] the [[landscape comma]] in the 2.9.5.7 subgroup.