Joshuavoisma
| Ratio | 25025/25024 |
| Factorization | 2-6 × 52 × 7 × 11 × 13 × 17-1 × 23-1 |
| Monzo | [-6 0 2 1 1 1 -1 0 -1⟩ |
| Size in cents | 0.069181564¢ |
| Name | joshuavoisma |
| Color name | 23u17u3o1ozyy-2 twethusutholozoyoyo negative 2nd |
| FJS name | [math]\text{P1}^{5,5,7,11,13}_{17,23}[/math] |
| Special properties | superparticular, reduced |
| Tenney height (log2 nd) | 29.2221 |
| Weil height (log2 max(n, d)) | 29.2222 |
| Wilson height (sopfr(nd)) | 93 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.19986 bits |
| Comma size | unnoticeable |
| open this interval in xen-calc | |
25025/25024, the joshuavoisma, is a 23-limit superparticular comma of about 0.069 cents.
Commatic relationships
This comma is the difference between the following superparticular pairs:
- 273/272 and 276/275
- 385/384 and 391/390
- 715/714 and 736/735
- 1225/1224 and 1288/1287
- 4225/4224 and 5083/5082
- 5985/5984 and 7866/7865
It can be factored into following superparticular commas:
- 27456/27455 and 282625/282624
- 28561/28560 and 202125/202124
- 31213/31212 and 126225/126224
- 37180/37179 and 76545/76544
Temperaments
Tempering out this comma in the full 23-limit leads to the rank-8 temperament joshuavoismic. Using the 2.5.7.11.13.17.23 subgroup leads to the rank-6 temperament joshuavoic.
Joshuavoismic
Subgroup: 2.3.5.7.11.13.17.19.23
Comma list: 25025/25024
| [⟨ | 1 | 1 | 2 | 2 | 3 | 3 | 4 | 4 | 2 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | -1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.955, ~5/4 = 386.306, ~7/4 = 968.820, ~11/8 = 551.309, ~13/8 = 840.517, ~17/16 = 104.968, ~19/16 = 297.513
Optimal ET sequence: 6fhi, 7dghi, 8dgghhi, 9i, 10, 10h, 12e, 15f, 15g, 19eghi, 22i, 22fh, 24, 26i, 27egi, 31h, 31, 41fg, 41, 43, 46, 50, 58ghi, 62, 68, 72hi, 72i, 94, 118, 121i, 137, 140, 152fg, 183, 190g, 193, 217, 270, 311, 373g, 431, 487, 494, 494h, 525, 566g, 581, 718, 742i, 814, 935, 954h, 1106, ...
Joshuavoic
Subgroup: 2.5.7.11.13.17.23
Comma list: 25025/25024
| [⟨ | 1 | 2 | 2 | 3 | 3 | 4 | 2 | ], |
| ⟨ | 0 | 1 | 0 | 0 | 0 | 0 | 2 | ], |
| ⟨ | 0 | 0 | 1 | 0 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 1 | 0 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 1 | 0 | 1 | ], |
| ⟨ | 0 | 0 | 0 | 0 | 0 | 1 | -1 | ]] |
Optimal tuning (CTE): ~2 = 1\1, ~5/4 = 386.306, ~7/4 = 968.820, ~11/8 = 551.309, ~13/8 = 840.517, ~17/16 = 104.968
Optimal ET sequence: 4, 6eg, 6, 9i, 10eg, 10, 12fgi, 13i, 15f, 16, 26i, 28g, 31, 37i, 43, 46, 56, 66gi, 68, 72i, 74g, 78, 93, 109g, 121i, 124, 233, 261, 264, 307, 357, 385, 457, 581, 690, 764, 814, 1075, 1199, 1339, 1702, 1796, 1889, 1963, 2460, 2777, 2917, 4116, 7033
Etymology
The name joshuavoisma was named by Francium in 2024. It refers to 25025 Joshuavo, the asteroid. Which in turn was named after an American 2008 Intel International Science and Engineering Fair (ISEF) winner.