Dodecoid comma

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Interval information
Ratio 536870912/512578125
Factorization 229 × 3-8 × 5-7
Monzo [29 -8 -7
Size in cents 80.163996¢
Name dodecoid comma
Color name sasa-sepgu 4th, ssg74
FJS name [math]\text{5d4}_{5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 57.9332
Weil height (log2 max(n, d)) 58
Wilson height (sopfr (nd)) 117
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.68716 bits
Comma size medium
open this interval in xen-calc

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.