Dimcomp comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 390625/388962
| Ratio = 390625/388962
| Monzo = -1 -4 8 -4
| Cents = 7.3861
| Name = dimcomp comma
| Name = dimcomp comma
| Color name = quadruyoyo comma
| Color name = quadruyoyo comma
| FJS name =
| Comma = yes
| Sound =  
}}
}}
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 also the product of the [[marvel comma]] and the [[landscape comma]].  


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 (temperament)|diminished]], [[compton]], [[bidia]], [[quadritikleismic]], [[octoid]], etc.  


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


[[Category:7-limit]]
[[Category:Small comma]]
[[Category:Dimcomp]]
[[Category:Dimcomp]]
[[Category:Commas named by combining multiple temperament names]]

Latest revision as of 09:15, 9 April 2026

Interval information
Ratio 390625/388962
Factorization 2-1 × 3-4 × 58 × 7-4
Monzo [-1 -4 8 -4⟩
Size in cents 7.386082¢
Name dimcomp comma
Color name quadruyoyo comma
FJS name [math]\displaystyle{ \text{5d}{-4}^{5,5,5,5,5,5,5,5}_{7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 37.1447
Weil norm (log2 max(n, d)) 37.1508
Wilson norm (sopfr(nd)) 82
Comma size small
Open this interval in xen-calc

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)4) exceeds an octave.

It is also the product of the marvel comma and the landscape comma.

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.

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