Quartisma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 117440512/117406179
Factorization 224 × 3-6 × 7 × 11-5
Monzo [24 -6 0 1 -5
Size in cents 0.50618945¢
Name quartisma
Color name Saquinlu-azo comma
FJS name [math]\text{m3}^{7}_{11,11,11,11,11}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 53.6143
Weil height (max(n, d)) 117440512
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39857 bits
Comma size unnoticeable
open this interval in xen-calc

The quartisma is an unnoticeable 11-limit comma with a ratio of 117440512/117406179 and a value of approximately 0.5 cents. The quartisma is significant on account of it being the interval between a stack of five 33/32 quartertones and one 7/6 subminor third in Just Intonation- this significance in relation to quartertones being the source of its name. Tempering it out leads to a form of quartismic temperament. For a list of such temperaments, see Quartismic family.