375/374: Difference between revisions

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The [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''375/374''' is the interval that separates [[17/15]] from [[25/22]], as well as separating [[25/17]] from [[22/15]].
The [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''375/374''' is the interval that separates [[17/15]] from [[25/22]], as well as separating [[25/17]] from [[22/15]].
== Commatic relations ==
This comma identifies itself as the difference between the following superparticular pairs:
* [[100/99]] and [[136/135]]
* [[120/119]] and [[176/175]]
* [[225/224]] and [[561/560]]
* [[273/272]] and [[1001/1000]]
* [[325/324]] and [[2431/2430]]
* [[364/363]] and [[12376/12375]]
It factors into the following superparticular pairs:
* [[625/624]] and [[936/935]]
* [[540/539]] and [[1225/1224]]
* [[441/440]] and [[2500/2499]]
* [[385/384]] and [[14400/14399]]

Revision as of 18:20, 31 December 2022

Interval information
Ratio 375/374
Factorization 2-1 × 3 × 53 × 11-1 × 17-1
Monzo [-1 1 3 0 -1 0 -1
Size in cents 4.622791¢
Name acute whole tones comma ?
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5,5}_{11,17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.0976
Weil height (log2 max(n, d)) 17.1015
Wilson height (sopfr(nd)) 48
Comma size small
Open this interval in xen-calc

The 17-limit superparticular comma with a ratio of 375/374 is the interval that separates 17/15 from 25/22, as well as separating 25/17 from 22/15.

Commatic relations

This comma identifies itself as the difference between the following superparticular pairs:

It factors into the following superparticular pairs: