Enneadecacot comma: Difference between revisions

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The '''enneadecacot comma''' is a [[5-limit]] [[small comma]] measuring roughly 17 [[cent|cents]]. Tempering it in the 5-limit results in the [[Rank-2 temperament|rank-2]] [[enneadecacot family#enneadecacot|enneadecacot]] temperament, a [[microtemperament]] which resembles a stretched [[32edo]] or compressed [[33edo]].
The '''enneadecacot comma''' is a [[5-limit]] [[small comma]] measuring roughly 17 [[cent|cents]]. Tempering it in the 5-limit results in the [[Rank-2 temperament|rank-2]] [[enneadecacot family#enneadecacot|enneadecacot]] temperament, a [[microtemperament]] dividing the perfect fifth into 19 [[ampersand comma]]s, with its generator chain resembling a stretched [[32edo]] or compressed [[33edo]].
== Etymology ==
== Etymology ==
The comma was first named in 2024 by [[User:CompactStar|CompactStar]]. It is so named because the associated temperament divides the perfect fifth into 19 equal parts.
The comma was first named in 2024 by [[User:CompactStar|CompactStar]]. It is so named because the associated temperament divides the perfect fifth into 19 equal parts.


[[Category:Enneadecacot]]
[[Category:Enneadecacot]]

Revision as of 09:19, 16 May 2024

Interval information
Factorization 279 × 3-22 × 5-19
Monzo [79 -22 -19
Size in cents 17.02942¢
Name enneadecacot comma
Color name tribisa-negu octave, s6g198
Tribisa-negu comma
FJS name [math]\displaystyle{ \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 norm (log2 nd) 157.986
Weil norm (log2 max(n, d)) 158
Wilson norm (sopfr(nd)) 319
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.