5776/5775

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	0.2997548¢
Names	neovish comma, neovishma
Color name	19oo1urgg2, nonolurugugu 2nd, Nonolurugugu comma
FJS name	[math]\displaystyle{ \text{d2}^{19,19}_{5,5,7,11} }[/math]
Special properties	square superparticular, reduced
Tenney norm (log2 nd)	24.9915
Weil norm (log2 max(n, d))	24.9917
Wilson norm (sopfr(nd))	77
Comma size	unnoticeable
S-expression	S76
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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

• Unnoticeable comma
• List of superparticular intervals