Heptacot comma: Difference between revisions

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


[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named for how they divide the fifth]]

Revision as of 00:23, 4 November 2024

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
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.

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