Parahemif comma: Difference between revisions

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m FloraC moved page Hemif comma to Parahemif comma: From the 7-limit temp parahemif
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{{Infobox Interval
{{Infobox Interval
| Ratio = 1605632/1594323
| Ratio = 1605632/1594323
| Name = Hemif comma
| Name = parahemif comma, hemif comma
| Comma = yes
| Comma = yes
}}
}}
 
The '''parahemif comma''', also known as '''hemif comma''', is a [[small comma|small]] [[7-limit]] (specifically [[2.3.7 subgroup|2.3.7-]][[subgroup]]) [[comma]] measuring about 12.2 [[cent]]s. It is the difference between [[49/48]] and the [[Pythagorean comma]], between the [[Pythagorean apotome]] and a stack of two [[28/27]]'s, and between the [[17-comma]] and a stack of 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 ==
Tempering out this comma in the 2.3.7 subgroup leads to the [[Hemif]] temperament.
[[Tempering out]] this comma in the 2.3.7 subgroup leads to the [[hemif]] temperament, and in the full 7-limit, the 7-limit version of the [[parahemif]] temperament.
 
==Etymology==
The name '''Hemif comma''' was named after the '''Hemif''' temperament, which only tempered out this comma in 2.3.7 subgroup.
[[Category:Commas named after musical traditions]]

Revision as of 16:49, 27 November 2025

Interval information
Ratio 1605632/1594323
Factorization 215 × 3-13 × 72
Monzo [15 -13 0 2
Size in cents 12.2368¢
Names parahemif comma,
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 parahemif comma, also known as hemif comma, is a small 7-limit (specifically 2.3.7-subgroup) comma measuring about 12.2 cents. It is the difference between 49/48 and the Pythagorean comma, between the Pythagorean apotome and a stack of two 28/27's, and between the 17-comma and a stack of two 64/63's.

Temperaments

Tempering out this comma in the 2.3.7 subgroup leads to the hemif temperament, and in the full 7-limit, the 7-limit version of the parahemif temperament.