1275/1274

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Interval information

Ratio

1275/1274

Factorization

2^-1 × 3 × 5² × 7^-2 × 13^-1 × 17

[-1 1 2 -2 0 -1 1⟩

Size in cents

1.358363¢

Name

cimbrisma

17o3urryy-2,
sothubiruyo negative 2nd,
Sothubiruyo comma

[math]\displaystyle{ \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

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:

2500/2499 and 2601/2600

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

List of superparticular intervals

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