Dimcomp comma: Difference between revisions
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The '''dimcomp comma''' is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 7.4 [[cent]]s. It is the amount by which a stack of four quasi-tempered minor thirds ([[25/21]]) exceeds an octave. | The '''dimcomp comma''' is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 7.4 [[cent]]s. It is the amount by which a stack of four quasi-tempered minor thirds (([[25/21]])<sup>4</sup>) exceeds an [[2/1|octave]]. | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 7-limit leads to the [[dimcomp]] temperament, with the effect of splitting the octave into four equal parts, and edos that are not multiples of 4 cannot be tempering it out. Rank-2 temperaments tempering it out include [[diminished (temperament)|diminished]], [[compton]], [[bidia]], [[quadritikleismic]], [[octoid]], etc. | [[Tempering out]] this comma in the 7-limit leads to the [[dimcomp]] temperament, with the effect of splitting the octave into four equal parts, and edos that are not multiples of 4 cannot be tempering it out. Rank-2 temperaments tempering it out include [[diminished (temperament)|diminished]], [[compton]], [[bidia]], [[quadritikleismic]], [[octoid]], etc. | ||
See [[Dimcomp family]] for a number of rank-3 temperaments where it is tempered out. | See [[Dimcomp family]] for a number of rank-3 temperaments where it is tempered out. | ||