27048/27047

Interval information

Ratio	27048/27047
Factorization	23 × 3 × 72 × 17-1 × 23 × 37-1 × 43-1
Monzo	[3 1 0 2 0 0 -1 0 1 0 0 -1 0 -1⟩
Size in cents	0.06400717 ¢
Name	jangongisma
Color name	43u37u23o17uzz1 fothuthisutwethosuzozo unison
FJS name	[math]\displaystyle{ \text{A1}^{7,7,23}_{17,37,43} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	29.4464
Weil norm (log2 max(n, d))	29.4465
Wilson norm (sopfr(nd))	143
Comma size	unnoticeable
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27048/27047, the jangongisma, is a 43-limit superparticular comma of about 0.064 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 3312/3311 and 3774/3773
• 7956/7955 and 11271/11270
• 9504/9503 and 14652/14651

It can be factored into the superparticular intervals 27456/27455 and 1820105/1820104.

Temperaments

Tempering out this comma in the full 43-limit leads to the rank-13 temperament jangongismic. Using the 2.3.7.17.23.37.43 subgroup leads to the rank-6 temperament jangongic.

Jangongic

Subgroup: 2.3.7.17.23.37.43

Comma list: 27048/27047

Mapping:

[⟨	1	1	2	4	4	5	3	],
⟨	0	1	0	0	0	0	1	],
⟨	0	0	1	0	0	0	2	],
⟨	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, ~3/2 = 701.954, ~7/4 = 968.818, ~17/16 = 104.964, ~23/16 = 628.264, ~37/32 = 251.358

Optimal ET sequence: 5i, 5g, 7dgin, 7l, 10, 14l, 17g, 22n, 31, 32, 36, 46n, 48n, 50, 53, 60ln, 72in, 82, 99, 125, 135, 147, 171, 176, 181, 207, 229, 328, 436, 472, 535, 706, 764, 800, 913, 1007, 1089, 1142, 1236, 1417, 1614, 1624, 1853, 1942, 2149, 2559, 3031, 3566, 5944, 6597, 6826, 7033, 7361, 8975, 9510, 10599

Badness (Sintel): 0.042

Etymology

This comma was named by Francium in 2025. It refers to 27048 Jangong, the asteroid, which in turn was named after Jan Jiawei Gong, a finalist in the 2011 Intel Science Talent Search.

See also

• Unnoticeable comma
• List of superparticular intervals