Heptacot comma

The heptacot comma is a small 5-limit comma measuring about 9.78 cents. Tempering out this comma gives the rank-2 heptacot temperament, which divides the perfect fifth into 7 equal parts. Notable edos that support this temperament include 12 and 311.

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 norm (log2 nd)	171.992
Weil norm (log2 max(n, d))	172
Wilson norm (sopfr(nd))	339
Comma size	small
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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.