Dodecoid comma

Interval information

Ratio	536870912/512578125
Factorization	229 × 3-8 × 5-7
Monzo	[29 -8 -7⟩
Size in cents	80.164¢
Name	dodecoid comma
Color name	sasa-sepgu 4th, ssg74
FJS name	[math]\displaystyle{ \text{5d4}_{5,5,5,5,5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	57.9332
Weil height (log2 max(n, d))	58
Wilson height (sopfr(nd))	117
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.329 bits
Comma size	medium
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536870912/512578125, the dodecoid comma, is a 5-limit medium comma by which a stack of 7 16/15 exceeds 3/2. Tempering out this comma result in the "dodecoid temperament" that has a generator slightly larger than 1 step of 12edo.