Parahemif comma

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
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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.