4131/4096
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Ratio | 4131/4096 |
Subgroup monzo | 2.3.17 [-12 5 1⟩ |
Size in cents | 14.730414¢ |
Name | septendecimal comma |
Color name | L17o1, laso 1sn, Laso comma |
FJS name | [math]\text{P1}^{17}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} n⋅d) | 24.0123 |
Weil height (max(n, d)) | 4131 |
Benedetti height (n⋅d) | 16920576 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.2013 bits |
Comma size | small |
open this interval in xen-calc |
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 Helmholtz-Ellis notation (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.