4131/4096

From Xenharmonic Wiki
Jump to: navigation, search
Interval information
Ratio 4131/4096
Monzo [-12 5 0 0 0 0 1
Size in cents 14.73041
Name(s) septendecimal comma
FJS name P117

The septendecimal comma or Hunt flat 2 comma, 4131/4096, is a 17-limit comma measuring about 14.7 cents. It is the amount by which 17/16 deviates from 256/243.

Besides the relationship above, it is also the difference between 18/17 and 2187/2048, between 17/12 and 1024/729, and their respective inverses. Furthermore, it and the septendecimal schisma 2187/2176 make a Pythagorean comma.

The septendecimal comma is significant in Functional Just System as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In Helmholtz-Ellis notation (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.

See also