Heptacot comma

Interval information

Factorization	286 × 3-44 × 5-7
Monzo	[86 -44 -7⟩
Size in cents	9.783965¢
Name	heptacot comma
Color name	sepsa-sepgu 7th, s7g77, sepsa-sepgu comma
FJS name	[math]\displaystyle{ \text{10d7}_{5,5,5,5,5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	171.992
Weil height (log2 max(n, d))	172
Wilson height (sopfr(nd))	339
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.04503 bits
Comma size	small
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The heptacot comma is a 5-limit small comma measuring roughly 10 cents. Tempering it out gives the rank-2 heptacot temperament, which divides the perfect fifth into 7 equal parts. Notable EDOs that supports this temperament include 12 and 311.

Etymology

This comma was discovered and named in 2024 by Tristan Bay. The name comes from the fact that the associated temperament divides the perfect fifth into 7 equal parts, as mentioned above.