Hemfiness comma

Interval information

Ratio	4096000/4084101
Factorization	215 × 3-5 × 53 × 7-5
Monzo	[15 -5 3 -5⟩
Size in cents	5.036605¢
Name	Hemfiness comma
Color name	sr5y3-3, saquinru atriyo negative 3rd
FJS name	[math]\text{dd}{-3}^{5,5,5}_{7,7,7,7,7}[/math]
Special properties	reduced
Tenney height (log2 nd)	43.9274
Weil height (log2 max(n, d))	43.9316
Wilson height (sopfr(nd))	95
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.43372 bits
Comma size	small
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4096000/4084101, the hemfiness comma, is a 7-limit small comma measuring about 5 cents. It is the amount by which three 5/4s and five 32/21s exceed four octaves. It was named by Xenllium in 2021. Tempering this comma out leads to the hemfiness temperaments.