Hewuermera comma

Interval information

Ratio	589824/588245
Factorization	216 × 32 × 5-1 × 7-6
Monzo	[16 2 -1 -6⟩
Size in cents	4.640849¢
Name	Hewuermera comma
Color name	sr6g-3, satribiru-agu negative 3rd
FJS name	[math]\text{d}{-3}_{5,7,7,7,7,7,7}[/math]
Special properties	reduced
Tenney height (log2 nd)	38.336
Weil height (log2 max(n, d))	38.3399
Wilson height (sopfr(nd))	85
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.39723 bits
Comma size	small
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589824/588245, the hewuermera comma, is a 7-limit small comma measuring about 4.6 cents. It is the amount, by which a stack of six 8/7s exceed 20/9. Tempering it out leads to the hewuermera temperaments. The comma was named by Xenllium in 2021.