Kirnberger's atom: Difference between revisions

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 == Temperaments ==
-Kirnberger's atom is [[tempering out|tempered out]] in notable edos such as {{EDOs| 12, 612, 624, 1236, 1848, 2460, 3072, 3084, 3684, 4296, 4308, 4908, 7980, 12276, 16572, 20868, 25164, 29460, 33756, and 46032 }}, leading to the [[Very high accuracy temperaments #Atomic|atomic temperament]], in which eleven schismas make up a syntonic comma and twelve schismas make up a [[Pythagorean comma]]; any tuning system ([[41edo]], for example) which the number of divisions of the octave is not a multiple of 12 cannot temper out Kirnberger's atom.
+[[Tempering out]] Kirnberger's atom leads to the [[Very high accuracy temperaments #Atomic|atomic]] temperament, in which eleven schismas make up a syntonic comma, and twelve schismas make up a [[Pythagorean comma]]. Many notable edos temper out Kirnberger's atom, as can be seen by the [[optimal ET sequence]] at [[Very high accuracy temperaments #Atomic]]. Any tuning system (such as [[41edo]]) for which the number of divisions of the octave is not divisible by 12 cannot temper out Kirnberger's atom.
 == Approximation ==