7105/7104

Interval information

Ratio	7105/7104
Subgroup monzo	2.3.5.7.29.37 [-6 -1 1 2 1 -1⟩
Size in cents	0.2436813 ¢
Name	yousyozanisma
Color name	37u29ozzy1 thisutwenozozoyo unison
FJS name	[math]\displaystyle{ \text{m2}^{5,7,7,29}_{37} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	25.589
Weil norm (log2 max(n, d))	25.5892
Wilson norm (sopfr(nd))	100
Comma size	unnoticeable
S-expression	S145⋅S146⋅S147
Open this interval in xen-calc

7105/7104, the yousyozanisma, is a 37-limit superparticular comma of about 0.24 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 145/144 and 148/147
• 385/384 and 407/406
• 1225/1224 and 1480/1479
• 1666/1665 and 2176/2175
• 1925/1924 and 2640/2639
• 2465/2464 and 3774/3773
• 3220/3219 and 5888/5887

It can be factored into the following superparticular intervals:

• 7106/7105 and 50481025/50481024
• 7425/7424 and 164836/164835
• 7889/7888 and 71485/71484
• 8281/8280 and 50025/50024
• 9177/9176 and 31465/31464
• 9251/9250 and 30625/30624
• 10241/10240 and 23200/23199
• 12673/12672 and 16170/16169

Temperaments

Tempering out this comma in the full 37-limit leads to the rank-11 temperament yousyozanismic. Using the 2.3.5.7.29.37 subgroup leads to the rank-5 temperament yousyozanic.

Yousyozanic

Subgroup: 2.3.5.7.29.37

Comma list: 7105/7104

Mapping:

[⟨	1	1	2	2	4	3	],
⟨	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 = 701.962, ~5/4 = 386.299, ~7/4 = 968.783, ~29/16 = 1029.513

Optimal ET sequence: 5, 7l, 9jl, 9, 10, 12, 15, 19l, 22, 31j, 41l, 53, 68jl, 72, 99, 171, 202, 224, 270, 301, 410, 441, 472, 513, 612, 1106, 1308, 1407, 1448, 1619, 1718, 2330, 2631, 3414, 3638, 4250, 7987j, 8599j

Badness (Sintel): 0.057

Etymology

This comma was named by Francium in 2025. It refers to 7105 Yousyozan, the asteroid, which in turn was named after a mountain in Japan.

See also

• Unnoticeable comma
• List of superparticular intervals