Dimcomp comma

From Xenharmonic Wiki
(Redirected from 390625/388962)
Jump to navigation Jump to search
Interval information
Ratio 390625/388962
Factorization 2-1 × 3-4 × 58 × 7-4
Monzo [-1 -4 8 -4
Size in cents 7.3860816¢
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
open this interval in xen-calc

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.


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