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 [[7-limit]] [[ | |||
== 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]], [[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. | |||
[[Category:Dimcomp]] | [[Category:Dimcomp]] | ||
[[Category:Commas named by combining multiple temperament names]] | [[Category:Commas named by combining multiple temperament names]] | ||
Revision as of 11:39, 11 September 2025
| Interval information |
The dimcomp comma is a small 7-limit comma measuring about 7.4 cents. It is the amount by which a stack of four quasi-tempered minor thirds (25/21) exceeds an octave.
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, compton, bidia, quadritikleismic, octoid, etc.
See Dimcomp family for a number of rank-3 temperaments where it is tempered out.