Stearnsma: Difference between revisions
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The '''stearnsma''' ({{monzo|legend=1| 1 10 0 -6 }}, [[ratio]]: 118098/117649) is a [[small comma|small]] [[2.3.7 subgroup|2.3.7-subgroup]] [[comma]] with a width of about 6.6 [[cent]]s. It is the amount by which an [[octave reduction|octave-reduced]] stack of six [[9/7]]'s exceeds [[9/8]]. It is also the amount by which [[343/243]], equal to a stack consisting of a [[7/6]] and two [[14/9]]'s, falls short of its [[octave complement]]. | |||
It is similar in size to the [[1029/1024|gamelisma]], another comma in the same subgroup. Their difference is the [[septimal ennealimma]]. | |||
It factors into ([[540/539]])⋅([[24057/24010]]) or (540/539)<sup>2</sup>⋅([[9801/9800]]) in the [[11-limit]], which, if we take away another instance of 540/539 from the other ratio, gives rise to the identity (540/539)<sup>3</sup>/([[4000/3993]]). | |||
== Temperaments == | == Temperaments == | ||