5776/5775

5776/5775, the neovishma or neovish comma, is an unnoticeable 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 20/19's falls short of two octaves. By tempering it out is defined the neovishmic temperament, which enables the neovishmic chords.

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
Open this interval in xen-calc

Commatic relations

This comma is the difference between the following superparticular pairs:

• 76/75 and 77/76 *
• 361/360 and 385/384 *
• 456/455 and 495/494
• 1156/1155 and 1445/1444
• 1216/1215 and 1540/1539 *
• 2432/2431 and 4200/4199
• 2080/2079 and 3250/3249
• 2926/2925 and 5929/5928
• 3136/3135 and 6860/6859 *
• 4096/4095 and 14080/14079

It factors into the following superparticular pairs:

• 10830/10829 and 12376/12375
• 6656/6655 and 43681/43680
• 6175/6174 and 89376/89375

* relation within the 2.3.5.7.11.19 subgroup

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

• List of superparticular intervals