5776/5775

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 5776/5775
Factorization 24 × 3-1 × 5-2 × 7-1 × 11-1 × 192
Monzo [4 -1 -2 -1 -1 0 0 2
Size in cents 0.29975484¢
Names neovish comma,
neovishma
Color name 19oo1urgg2,
nonolurugugu 2nd,
Nonolurugugu comma
FJS name [math]\text{d2}^{19,19}_{5,5,7,11}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 24.9915
Weil height (log2 max(n, d)) 24.9917
Wilson height (sopfr (nd)) 77
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.39788 bits
Comma size unnoticeable
S-expression S76
open this interval in xen-calc

5776/5775, the neovishma or neovish comma, is a 19-limit superparticular comma of about 0.30 cents. It is the amount by which a stack consisting of one 3/2, one 7/4, one 11/8 and two 20/19s falls short of two octaves. By tempering it out is defined the neovishmic temperament, which enables the neovishmic chords.

Etymology

The names neovishma and neovish comma were named by Xenllium in 2023. The rank-three temperament which tempers out 9801/9800 and 172032/171875 (neovish temperament, 50&118&152) can be extended to the 2.3.5.7.11.19 subgroup by tempering out 2376/2375 or 3136/3135, hence 5776/5775 is also tempered out.

See also