Dodecoid comma
Jump to navigation
Jump to search
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]\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]\sqrt{nd}[/math])
~4.329 bits
Comma size
medium
open this interval in xen-calc
Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.