2431/2430

Interval information

Ratio	2431/2430
Factorization	2-1 × 3-5 × 5-1 × 11 × 13 × 17
Monzo	[-1 -5 -1 0 1 1 1⟩
Size in cents	0.7122954¢
Name	heptacircle comma
Color name	17o3o1og2, sothologu 2nd, Sothologu comma
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~1.20456 bits
Comma size	unnoticeable
Open this interval in xen-calc

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).

See also

• Unnoticeable comma
• List of superparticular intervals