Parahemif comma

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Revision as of 16:41, 27 November 2025 by FloraC (talk | contribs) (FloraC moved page Hemif comma to Parahemif comma: From the 7-limit temp parahemif)
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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 in 2.3.7 subgroup.