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]])<sup>4</sup>) exceeds an [[2/1|octave]].


The '''dimcomp comma''' is a [[7-limit]] [[small 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.  
It is also the product of the [[marvel comma]] and the [[landscape comma]].  


== 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.  
See [[Dimcomp family]] for a number of rank-3 temperaments where it is tempered out.  
 
== See also ==
* [[Small comma]]


[[Category:Dimcomp]]
[[Category:Dimcomp]]
[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named by combining multiple temperament names]]