Dimcomp comma: Difference between revisions

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The '''dimcomp comma''' is a [[7-limit]] [[small comma]] measuring about 7.4 cents.  
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 the amount by which four quasi-tempered minor thirds ([[25/21]]) exceed an octave. Hence, tempering it out splits the octave into four equal parts, and EDOs that are not multiples of 4 cannot be tempering it out.  
== 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.  


== See also ==
== See also ==
* [[Dimcomp family]]
* [[Small comma]]
* [[Small comma]]


[[Category:Dimcomp]]
[[Category:Dimcomp]]