5776/5775
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 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.