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]\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{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 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.

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