1540/1539
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| Ratio | 1540/1539 |
| Factorization | 22 × 3-4 × 5 × 7 × 11 × 19-1 |
| Monzo | [2 -4 1 1 1 0 0 -1⟩ |
| Size in cents | 1.1245431¢ |
| Name | kevolisma |
| Color name | 19u1ozy1, nulozoyo 1sn, Nulozoyo comma |
| FJS name | [math]\text{P1}^{5,7,11}_{19}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 21.1765 |
| Weil height (log2 max(n, d)) | 21.1774 |
| Wilson height (sopfr (nd)) | 58 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.2109 bits |
| Comma size | unnoticeable |
| S-expression | S55 × S56 |
| open this interval in xen-calc | |
1540/1539, the kevolisma, is an unnoticeable 19-limit (also 2.3.5.7.11.19-subgroup) superparticular comma of about 1.12 cents. It is the amount by which a stack consisting of 6/5, 9/7, 12/11 and 19/16 falls short of an octave. By tempering it out is defined the kevolismic temperament, which enables the kevolismic chords.
Commatic relations
This comma is the difference between the following superparticular pairs:
- 55/54 and 57/56 *
- 77/76 and 81/80 *
- 154/153 and 171/170
- 210/209 and 243/242 *
- 286/285 and 351/350
- 343/342 and 441/440 *
- 352/351 and 456/455
- 385/384 and 513/512 *
- 400/399 and 540/539 *
- 495/494 and 729/728
- 595/594 and 969/968
- 1216/1215 and 5776/5775 *
- 1225/1224 and 5985/5984
- 1331/1330 and 9801/9800 *
- 1445/1444 and 23409/23408
- 1521/1520 and 123201/123200
It factors into the following superparticular pairs:
- 3025/3024 and 3136/3135 *
- 2926/2925 and 3250/3249
- 2431/2430 and 4200/4199
- 2376/2375 and 4375/4374 *
- 2080/2079 and 5929/5928
- 1729/1728 and 14080/14079
* relation within the 2.3.5.7.11.19 subgroup
Etymology
The name kevolisma was named by Xenllium in 2023. It refers to 1540 Kevola, the asteroid, which in turn was named after an observatory in Finland.