2926/2925

Interval information

Ratio	2926/2925
Factorization	2 × 3-2 × 5-2 × 7 × 11 × 13-1 × 19
Monzo	[1 -2 -2 1 1 -1 0 1⟩
Size in cents	0.5917737¢
Names	neovulture comma, neovulturisma
Color name	19o3u1ozgg2, nothulozogugu 2nd, Nothulozogugu comma
FJS name	[math]\text{d2}^{7,11,19}_{5,5,13}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	23.0289
Weil height (log2 max(n, d))	23.0294
Wilson height (sopfr(nd))	68
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.20148 bits
Comma size	unnoticeable
S-expression	S76 × S77
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2926/2925, the neovulturisma or neovulture comma, is an unnoticeable 19-limit superparticular comma of about 0.59 cents. It is the amount by which a stack consisting of 15/11 and 15/14 falls short of 19/13. By tempering it out is defined the neovulturismic temperament, which enables the neovulturismic chords.

Commatic relations

This comma is the difference between the following superparticular pairs:

• 76/75 and 78/77 *
• 196/195 and 210/209 *
• 209/208 and 225/224 *
• 352/351 and 400/399 *
• 456/455 and 540/539 *
• 1001/1000 and 1521/1520 *
• 1216/1215 and 2080/2079 *
• 1540/1539 and 3250/3249 *
• 1729/1728 and 4225/4224 *
• 2376/2375 and 12636/12635 *
• 2401/2400 and 13377/13376 *
• 2431/2430 and 14365/14364
• 2432/2431 and 14400/14399
• 2601/2600 and 23409/23408

It factors into the following superparticular pairs:

• 5776/5775 and 5929/5928 *
• 4096/4095 and 10241/10240 *
• 3136/3135 and 43681/43680 *
• 3025/3024 and 89376/89375 *

* relation within the 2.3.5.7.11.13.19 subgroup

Etymology

The names neovulturisma and neovulture comma were named by Xenllium in 2023. The rank-three temperament which tempers out 676/675, 1001/1000 and 19712/19683 (neovulture temperament, 53&58&217) can be extended to the 2.3.5.7.11.13.19 subgroup by tempering out 1216/1215, 1521/1520, 1540/1539 or 2926/2925.

See also

• List of superparticular intervals