Enneadecacot comma
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Factorization | 279 × 3-22 × 5-19 |
Monzo | [79 -22 -19⟩ |
Size in cents | 17.029418¢ |
Name | enneadecacot comma |
Color name | tribisa-negu octave, s6g198 Tribisa-negu comma |
FJS name | [math]\text{14d8}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5}[/math] |
Special properties | reduced, reduced subharmonic |
Tenney height (log2 nd) | 157.986 |
Weil height (log2 max(n, d)) | 158 |
Wilson height (sopfr(nd)) | 319 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.31706 bits |
Comma size | small |
open this interval in xen-calc |
The enneadecacot comma is a 5-limit small comma measuring roughly 17 cents. Tempering it in the 5-limit results in the rank-2 enneadecacot temperament, a microtemperament dividing the perfect fifth into 19 ampersand commas, with its generator chain resembling a stretched 32edo or compressed 33edo.
Etymology
The comma was first named in 2024 by CompactStar. It is so named because the associated temperament divides the perfect fifth into 19 equal parts.