1275/1274

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Interval information
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

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:

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.

See also