2233/2232

Interval information
Ratio	2233/2232
Subgroup monzo	2.3.7.11.29.31 [-3 -2 1 1 1 -1⟩
Size in cents	0.7754688 ¢
Name	kuznetsovisma
Color name	31u29o1oz2 ; thiwotwenolozo 2nd
FJS name	[math]\displaystyle{ \text{d2}^{7,11,29}_{31} }[/math]
Special properties	superparticular,; reduced
Tenney norm (log2 nd)	22.2489
Weil norm (log2 max(n, d))	22.2495
Wilson norm (sopfr(nd))	90
Comma size	unnoticeable
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2233/2232, the kuznetsovisma, is a 31-limit superparticular comma of about 0.78 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

It can be factored into the following superparticular intervals:

Temperaments

Tempering out this comma in the full 31-limit leads to the rank-10 temperament kuznetsovismic. Using the 2.3.7.11.29.31 subgroup leads to the rank-5 temperament kuznetsovic.

Kuznetsovismic

Subgroup: 2.3.5.7.11.13.17.19.23.29.31

Comma list: 2233/2232

Mapping:

[⟨	1	1	2	2	3	3	4	4	4	4	4	],
⟨	0	1	0	0	0	0	0	0	0	0	-2	],
⟨	0	0	1	0	0	0	0	0	0	0	0	],
⟨	0	0	0	1	0	0	0	0	0	0	1	],
⟨	0	0	0	0	1	0	0	0	0	0	1	],
⟨	0	0	0	0	0	1	0	0	0	0	0	],
⟨	0	0	0	0	0	0	1	0	0	0	0	],
⟨	0	0	0	0	0	0	0	1	0	0	0	],
⟨	0	0	0	0	0	0	0	0	1	0	0	],
⟨	0	0	0	0	0	0	0	0	0	1	1	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.005, ~5/4 = 386.314, ~7/4 = 968.748, ~11/8 = 551.199, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.343

Kuznetsovic

Subgroup: 2.3.7.11.29.31

Comma list: 2233/2232

Mapping:

[⟨	1	1	2	3	4	4	],
⟨	0	1	0	0	0	-2	],
⟨	0	0	1	0	0	1	],
⟨	0	0	0	1	0	1	],
⟨	0	0	0	0	1	1	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.005, ~7/4 = 968.748, ~11/8 = 551.199, ~29/16 = 1029.343

Optimal ET sequence: 5k, 7dk, 7, 8d, 9jk, 10, 14, 17k, 22, 31jk, 41, 63, 77, 89, 94, 113, 118k, 135, 301, 311, 342, 436, 477, 612, 1089, 1624, 1925j, 2101j, 2578j, 2713j

Etymology

This comma was named by Francium in 2024. It refers to 2233 Kuznetsov, the asteroid, which in turn was named after Nikolai Kuznetsov, a Soviet partisan and intelligence agent.