2431/2430
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Ratio
2431/2430
Factorization
2-1 × 3-5 × 5-1 × 11 × 13 × 17
Monzo
[-1 -5 -1 0 1 1 1⟩
Size in cents
0.71229544¢
Name
heptacircle comma
Color name
17o3o1og2, sothologu 2nd,
Sothologu comma
FJS name
[math]\text{dd2}^{11,13,17}_{5}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
22.4941
Weil height (log2 max(n, d))
22.4947
Wilson height (sopfr(nd))
63
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20456 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
Sothologu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
2431/2430, the heptacircle comma is a 17-limit superparticular comma of about 0.71 cents. It is the amount by which 1215/512 (layo ninth, a stack consisting of major limma, Pythagorean whole tone and an octave) falls short of a stack consisting of 11/8, 13/8 and 17/16. By tempering it out is defined the heptacircle temperament, which enables the heptacircle chords.
Etymology
The name heptacircle was named by Xenllium in 2023, for the following reason - it is represented by monzo [-1 -5 -1 0 1 1 1⟩, using a zero value ("circle") in the mediant place of seven variables (17-limit no-seven subgroup comma). It is similar to the pentacircle comma, 896/891 (11-limit no-five subgroup comma).