Joshuavoisma

Interval information

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	0.06918156¢
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

Mapping:

[⟨	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

Mapping:

[⟨	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.

See also

• Unnoticeable comma
• List of superparticular intervals