Decimillisma

Revision as of 12:34, 30 June 2026 by Eufalesio (talk | contribs) (Temperaments)

The decimillisma (monzo[9 -3 -3 -2 0 0 1 1, ratio: 165376/165375) is an unnoticeable 19-limit superparticular comma of about 0.0105 cents. It is the difference between 1225/1224 and 1216/1215.

Interval information
Factorization 29 × 3-3 × 5-3 × 7-2 × 17 × 19
Monzo [9 -3 -3 -2 0 0 1 1
Size in cents 0.0104685¢
Name decimillisma
FJS name [math]\displaystyle{ \text{dd2}^{17,19}_{5,5,5,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 34.6708
Weil norm (log2 max(n, d)) 34.6708
Wilson norm (sopfr(nd)) 92
Comma size unnoticeable
Open this interval in xen-calc

Temperaments

It is tempered out in metaolympic and trivially tempered out in cassaschismic, as it tempers out 1225/1224 and 1216/1215. Any edo that supports these temperaments will temper out the decimillisma, such as 10, 12, 41, 43, 53, 84, 94, 270, 311, 525, 935

Etymology

This comma was known as 19-limit decimill no later than 2016, probably for its size is close to 1/10 of a millisemitone. This was then codified as decimillisma.