1375/1372

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 1375/1372
Factorization 2-2 × 53 × 7-3 × 11
Monzo [-2 0 3 -3 1
Size in cents 3.7813646¢
Name moctdel comma
Color name 1or3y3-3, lotriruyo negative 3rd,
Lotriruyo comma
FJS name [math]\text{dd}{-3}^{5,5,5,11}_{7,7,7}[/math]
Special properties reduced
Tenney height (log2 nd) 20.8473
Weil height (log2 max(n, d)) 20.8504
Wilson height (sopfr (nd)) 51
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.33153 bits
Comma size small
open this interval in xen-calc

1375/1372, the moctdel comma is a no-threes 11-limit comma with a size of 3.78 cents. It is the amount by which a stack of three 7/5s falls short of 11/4, undecimal eleventh (one octave above 11/8). Some rank-two temperaments such as miracle, octoid and grendel temper out this comma, and from this it derives its name.

See also