5776/5775
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Ratio | 5776/5775 |
Factorization | 2^{4} × 3^{-1} × 5^{-2} × 7^{-1} × 11^{-1} × 19^{2} |
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 (log_{2} nd) | 24.9915 |
Weil height (log_{2} max(n, d)) | 24.9917 |
Wilson height (sopfr (nd)) | 77 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19994 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.