Parahemif comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Created page with "{{Infobox Interval | Ratio = 1605632/1594323 | Name = Hemif comma | Comma = yes }} The '''Hemif''' is a small 7-limit or 2.3.7 subgroup comma measuring about 12.237 cents. It's the difference between 17-comma and two 64/63s. == Temperaments == Tempering out this comma in the 2.3.7 subgroup leads to the Hemif temperament. ==Etymology== The name '''Hemif comma''' was named after the '''Hemif''' temperament, which only tempered..."
 
No edit summary
Line 5: Line 5:
}}
}}


The '''Hemif''' is a [[small comma|small]] [[7-limit]] or 2.3.7 [[subgroup]] [[comma]] measuring about 12.237 [[cent]]s. It's the difference between [[17-comma]] and two [[64/63]]s.
The '''Hemif comma''' is a [[small comma|small]] [[7-limit]] or 2.3.7 [[subgroup]] [[comma]] measuring about 12.237 [[cent]]s. It's the difference between [[17-comma]] and two [[64/63]]s.


== Temperaments ==
== Temperaments ==

Revision as of 16:58, 21 November 2025

Interval information
Ratio 1605632/1594323
Factorization 215 × 3-13 × 72
Monzo [15 -13 0 2
Size in cents 12.2368¢
Name Hemif comma
FJS name [math]\displaystyle{ \text{dd3}^{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 41.2192
Weil norm (log2 max(n, d)) 41.2294
Wilson norm (sopfr(nd)) 83
Comma size small
Open this interval in xen-calc

The Hemif comma is a small 7-limit or 2.3.7 subgroup comma measuring about 12.237 cents. It's the difference between 17-comma and two 64/63s.

Temperaments

Tempering out this comma in the 2.3.7 subgroup leads to the Hemif temperament.

Etymology

The name Hemif comma was named after the Hemif temperament, which only tempered out this comma.