Dimcomp comma

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]\text{5d}{-4}^{5,5,5,5,5,5,5,5}_{7,7,7,7}[/math]
Special properties	reduced
Tenney height (log2 nd)	37.1447
Weil height (log2 max(n, d))	37.1508
Wilson height (sopfr(nd))	82
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.69301 bits
Comma size	small
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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.

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

• Small comma