Heptacot comma
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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]\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]\sqrt{nd}[/math])
~2.04503 bits
Comma size
small
open this interval in xen-calc
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.