Quartisma

Revision as of 01:32, 24 November 2020 by Aura (talk | contribs) (Added infobox and attempted to move color info to infobox- may still need work)
Interval information
Ratio 117440512/117406179
Factorization 224 × 3-6 × 7 × 11-5
Monzo [24 -6 0 1 -5
Size in cents 0.5061895¢
Name quarisma
Color name Saquinlu-azo comma
FJS name [math]\displaystyle{ \text{m3}^{7}_{11,11,11,11,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 53.6143
Weil height (log2 max(n, d)) 53.6147
Wilson height (sopfr(nd)) 128
Open this interval in xen-calc

The quartisma is a comma with a ratio of 117440512/117406179 and a monzo of [24 -6 0 1 -5. It is an unnoticeable comma of the 11-limit with a value of approximately 0.50619 cents. The quartisma is significant on account of it being the difference between a stack of five 33/32 quartertones and one 7/6 subminor third in Just Intonation. Tempering it out leads to a form of quartismic temperament. For a list of such temperaments, see Quartismic family.