777edo: Difference between revisions

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 {{EDO intro|777}}
-edo is a [[dual-fifth system]] with a [[consistency|consistency limit]] of only 3, but otherwise it is excellent in approximating harmonics [[5/1|5]], [[7/1|7]], [[9/1|9]], [[11/1|11]], and [[13/1|13]], making it suitable for a 2.9.5.7.11.13 [[subgroup]] interpretation with the comma basis {4459/4455, 41503/41472, 496125/495616, 123201/123200, 105644/105625}. In addition, it tempers out the [[landscape comma]] in the 2.9.5.7 subgroup.
+edo 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.
 === Odd harmonics ===
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 === Subsets and supersets ===
-Since 777 factors into 3 × 7 × 37, 777edo has subset edos {{EDOs| 3, 7, 21, 37, 111, and 333 }}.
+Since 777 factors into {{factorization|777}}, 777edo has subset edos {{EDOs| 3, 7, 21, 37, 111, and 333 }}.