Heptacot comma
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| Factorization | 286 × 3-44 × 5-7 |
| Monzo | [86 -44 -7⟩ |
| Size in cents | 9.7839649¢ |
| 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 |
| Tenney height (log2 nd) | 171.992 |
| Weil height (log2 max(n, d)) | 172 |
| Wilson height (sopfr (nd)) | 339 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.81765 bits |
| Comma size | small |
| open this interval in xen-calc | |
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.