Kirnberger's atom: Difference between revisions
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'''Kirnberger's atom''', is a [[5-limit]] [[unnoticeable comma]]. It is the difference between the [[81/80|syntonic comma]] and a stack of eleven [[32805/32768|schismas]]; {{monzo|161 -84 -12}} in [[monzo]] and 0.01536093 [[cent]]s in size. | '''Kirnberger's atom''', is a [[5-limit]] [[unnoticeable comma]]. It is the difference between the [[81/80|syntonic comma]] and a stack of eleven [[32805/32768|schismas]]; {{monzo|161 -84 -12}} in [[monzo]] and 0.01536093 [[cent]]s in size. | ||
Kirnberger's fifth, which is the perfect fifth of [[3/2]] flattened by a [[schisma]] is practically identical to seven steps of [[12edo]], which realizes a rational intonation version of the equal temperament. Twelve of Kirnberger's fifths of 16384/10935 exceed seven octaves by the tiny interval of (16384/10935)<sup>12</sup> / 2<sup>7</sup> = 2<sup>161</sup> 3<sup>-84</sup> 5<sup>-12</sup>, Kirnberger's atom. | Kirnberger's fifth, which is the perfect fifth of [[3/2]] flattened by a [[schisma]] is practically identical to seven steps of [[12edo]], which realizes a rational intonation version of the equal temperament. Twelve of Kirnberger's fifths of [[16384/10935]] exceed seven octaves by the tiny interval of (16384/10935)<sup>12</sup> / 2<sup>7</sup> = 2<sup>161</sup> 3<sup>-84</sup> 5<sup>-12</sup>, Kirnberger's atom. | ||
== Temperament == | == Temperament == | ||
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[[Category:Atomic]] | [[Category:Atomic]] | ||
[[Category:Kirnberger]] | |||