Cataharry comma: Difference between revisions
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The '''cataharry comma''' ('''19683/19600''') is a [[7-limit]] [[comma]] measuring about 6.1 cents. It is the difference between the [[81/70|septimal ultramajor second (81/70)]] and its [[fourth complement]]. In terms of commas, it is the | The '''cataharry comma''' ('''19683/19600''') is a [[7-limit]] [[comma]] measuring about 6.1 cents. It is the difference between the [[81/70|septimal ultramajor second (81/70)]] and its [[fourth complement]]. In terms of commas, it is equal to ([[81/80]])/([[245/243]]) and to ([[81/80]])<sup>2</sup>/([[49/48]]). The latter equivalence implies that if the cataharry comma is tempered out and if neither [[81/80]] nor [[49/48]] are tempered out, there will be an interval ~[[81/80]] above [[8/7]] and ~[[81/80]] below [[7/6]], and analogously for [[12/7]] and [[7/4]]. | ||
== Temperaments == | == Temperaments == | ||