Canopic comma: Difference between revisions
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The '''canopic comma''' or '''canopus comma''' ([[ratio]]: 16875/16807, {{monzo|legend=1| 0 3 4 -5 }}), formerly ''mirkwai comma'', is a [[small comma|small]] [[7-limit]] (specifically [[3.5.7 subgroup|3.5.7-subgroup]]) [[comma]] measuring about 6.99 [[cent]]s. It is also known as ''small BP diesis'' in [[Bohlen–Pierce]] practice. | The '''canopic comma''' or '''canopus comma''' ([[ratio]]: 16875/16807, {{monzo|legend=1| 0 3 4 -5 }}), formerly ''mirkwai comma'', is a [[small comma|small]] [[7-limit]] (specifically [[3.5.7 subgroup|3.5.7-subgroup]]) [[comma]] measuring about 6.99 [[cent]]s. It is also known as ''small BP diesis'' in [[Bohlen–Pierce]] practice. It is the amount by which a stack of four [[10/7]]'s [[octave reduction|octave reduced]] exceeds [[28/27]], or in other words, the amount by which a stack of two [[50/49]]'s exceeds 28/27. Equivalently, it is the amount by which a stack of four [[15/14]] exceeds [[21/16]]. | ||
== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma | [[Tempering out]] this comma in the [[3.5.7 subgroup]] leads to the rank-2 [[canopus]] temperament, or in the full 7-limit, the rank-3 [[canopic]] temperament. It is also tempered out in full 7-limit rank-2 temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]]. | ||
See [[Canopic clan]] for a collection of rank-2 temperaments where it is tempered out. | See [[Canopic clan]] for a collection of rank-2 temperaments where it is tempered out. | ||