Ditonma

Not to be confused with Ditonic comma.

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]\displaystyle{ \text{7d}{-4}^{5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	60.355
Weil norm (log2 max(n, d))	60.3701
Wilson norm (sopfr(nd))	125
Comma size	small
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The ditonma (monzo: [-27 -2 13⟩, ratio: 1 220 703 125 / 1 207 959 552) is a small 5-limit comma of about 18.2 cents. It is the amount by which a stack of 13 classic major thirds (5/4) exceeds a stack of 3 octaves and 2 perfect fifths (3/2).

Temperaments

Tempering out this comma leads to the ditonic temperament, which falls between magic and würschmidt on the Father–3 equivalence continuum.

See Ditonmic family for the family of temperaments where it is tempered out.

Etymology

This comma was named by Petr Pařízek in 2011 in terms of the corresponding temperament, ditonic. However, ditonic comma refers to the Pythagorean comma, so the irregular name ditonma was coined instead.