Dodecoid comma
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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, 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 |
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.