6069/6068

Interval information

Ratio	6069/6068
Subgroup monzo	2.3.7.17.37.41 [-2 1 1 2 -1 -1⟩
Size in cents	0.285282 ¢
Name	cevolanisma
Color name	41u37u17ooz2 fowuthisusosozo 2nd
FJS name	[math]\displaystyle{ \text{dd3}^{7,17,17}_{37,41} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	25.1342
Weil norm (log2 max(n, d))	25.1345
Wilson norm (sopfr(nd))	126
Comma size	unnoticeable
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6069/6068, the cevolanisma, is a 41-limit superparticular comma of about 0.29 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 1190/1189 and 1480/1479
• 1518/1517 and 2024/2023
• 2625/2624 and 4625/4624

It can be factored into the following superparticular ratios:

• 6076/6075 and 5267025/5267024
• 6561/6560 and 80920/80919
• 6930/6929 and 48841/48840
• 7105/7104 and 41616/41615
• 8092/8091 and 24273/24272
• 9177/9176 and 17918/17917

Temperaments

Tempering out this comma in the full 41-limit leads to the rank-12 temperament cevolanismic. Using the 2.3.7.17.37.41 subgroup leads to the rank-5 temperament cevolanic.

Cevolanic

Subgroup: 2.3.7.17.37.41

Comma list: 6069/6068

Mapping:

[⟨	1	1	2	4	5	4	],
⟨	0	1	0	0	0	1	],
⟨	0	0	1	0	0	1	],
⟨	0	0	0	1	0	2	],
⟨	0	0	0	0	1	-1	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.950, ~7/4 = 968.809, ~17/16 = 104.884, ~37/32 = 251.402

Optimal ET sequence: 5m, 7gm, 7l, 9glmm, 9, 10, 17l, 17gm, 22, 36l, 48, 58, 82, 99m, 125, 130, 140, 147, 171, 207, 229, 378, 400, 607, 836, 1007, 1843, 1925, 2024, 2325, 2424, 3031, 4038, 4267, 4956, 5185, 5356, 6192g, 8216g, 8616g

Badness (Sintel): 0.042

Etymology

This comma was named by Francium in 2025. It refers to 6069 Cevolani, the asteroid, which in turn was named after Giordano Cevolani, an Italian geophysicist.

See also

• Unnoticeable comma
• List of superparticular intervals