1275/1274
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Ratio
1275/1274
Factorization
2-1 × 3 × 52 × 7-2 × 13-1 × 17
Monzo
[-1 1 2 -2 0 -1 1⟩
Size in cents
1.358363¢
Name
cimbrisma
Color name
17o3urryy-2,
sothubiruyo negative 2nd,
Sothubiruyo comma
FJS name
[math]\text{d}{-2}^{5,5,17}_{7,7,13}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
20.6314
Weil height (log2 max(n, d))
20.6326
Wilson height (sopfr(nd))
59
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.21542 bits
Comma size
unnoticeable
S-expression
S50 × S51
open this interval in xen-calc
| Interval information |
sothubiruyo negative 2nd,
Sothubiruyo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
1275/1274, the cimbrisma, is an unnoticeable 17-limit superparticular comma. It is the amount by which a stack consisting of 17/13 and two instances of 15/14 exceeds the perfect fifth (3/2).
Commatic relations
This comma is the difference between the following superparticular pairs:
- 50/49 and 52/51
- 85/84 and 91/90
- 225/224 and 273/272
- 442/441 and 676/675
- 540/539 and 936/935
- 561/560 and 1001/1000
- 625/624 and 1225/1224
- 729/728 and 1701/1700
- 833/832 and 2401/2400
- 1156/1155 and 12376/12375
- 1225/1224 and 31213/31212
It factors into the following superparticular pairs:
Temperaments
By tempering it out is defined the cimbrismic temperament, which enables the cimbrismic chords.
Etymology
The name cimbrisma was named by Xenllium in 2023. It refers to 1275 Cimbria, the asteroid, which in turn was named after an ancient Germanic tribe.