1518/1517

Interval information

Ratio	1518/1517
Factorization	2 × 3 × 11 × 23 × 37-1 × 41-1
Monzo	[1 1 0 0 1 0 0 0 1 0 0 -1 -1⟩
Size in cents	1.140846 ¢
Name	rovaniemisma
Color name	41u37u23o1o1 fowuthisutwetholo unison
FJS name	[math]\displaystyle{ \text{P1}^{11,23}_{37,41} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	21.135
Weil norm (log2 max(n, d))	21.1359
Wilson norm (sopfr(nd))	117
Comma size	unnoticeable
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1518/1517, the rovaniemisma, is a 41-limit superparticular comma of about 1.1 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 165/164 and 185/184
• 297/296 and 369/368
• 575/574 and 925/924
• 616/615 and 1036/1035
• 667/666 and 1189/1188

It can be factored into the following superparticular ratios:

• 1519/1518 and 2304324/2304323
• 1520/1519 and 1152921/1152920
• 1521/1520 and 769120/769119
• 1540/1539 and 106191/106190
• 1600/1599 and 29601/29600
• 1925/1924 and 7176/7175
• 2024/2023 and 6069/6068
• 2871/2870 and 3220/3219

Temperaments

Tempering out this comma in the full 41-limit leads to the rank-12 temperament rovaniemismic. Using the 2.3.11.23.37.41 subgroup leads to the rank-5 temperament rovaniemic.

Rovaniemic

Subgroup: 2.3.11.23.37.41

Comma list: 1518/1517

Mapping:

[⟨	1	1	3	4	5	4	],
⟨	0	1	0	0	0	1	],
⟨	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 = 701.923, ~11/8 = 551.168, ~23/16 = 628.017, ~37/32 = 251.685

Optimal ET sequence: 5im, 5, 7im, 10, 10il, 12el, 15m, 17, 24, 29, 31, 41i, 48, 111, 128, 159, 176, 224, 277, 376m, 405, 453, 701, 829m, 877, 1106m, 1154

Badness (Sintel): 0.045

Etymology

This comma was named by Francium in 2025. It refers to 1518 Rovaniemi, the asteroid, which in turn was named after Rovaniemi, Finland.

See also

• Unnoticeable comma
• List of superparticular intervals