Ditonma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Factorization 2-27 × 3-2 × 513
Monzo [-27 -2 13
Size in cents 18.16828¢
Name Ditonma
Color name LLy13-4, lala-theyo negative 4th,
Lala-theyo comma
FJS name [math]\text{7d}{-4}^{5,5,5,5,5,5,5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 60.355
Weil height (log2 max(n, d)) 60.3701
Wilson height (sopfr(nd)) 125
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.49714 bits
Comma size small
open this interval in xen-calc

The ditonma is a small 5-limit comma of about 18.168 cents. It has the monzo [-27 -2 13 and the ratio 1220703125 / 1207959552.

Temperaments

Tempering out this comma leads to the ditonmic family of temperaments.

Etymology

This comma was named by Petr Pařízek in 2011 in terms of the corresponding temperament, ditonic[1].

Notes

  1. See Ditonmic family for sources.