4131/4096

Interval information

Ratio	4131/4096
Subgroup monzo	2.3.17 [-12 5 1⟩
Size in cents	14.73041¢
Name	septendecimal comma
Color name	L17o1, laso 1sn, Laso comma
FJS name	[math]\displaystyle{ \text{P1}^{17} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	24.0123
Weil norm (log2 max(n, d))	24.0246
Wilson norm (sopfr(nd))	56
Comma size	small
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4131/4096, the septendecimal comma or Hunt flat 2 comma, is a 17-limit comma measuring about 14.7 ¢. 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 the 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 the 2020 version of Helmholtz-Ellis notation, however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.

See also

• Small comma