177147/163840
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Ratio | 177147/163840 |
Factorization | 2^{-15} × 3^{11} × 5^{-1} |
Monzo | [-15 11 -1⟩ |
Size in cents | 135.1913¢ |
Names | deeptone comma, tragicomma |
Color name | Lg1, Lagu unison |
FJS name | [math]\text{A1}_{5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 34.7565 |
Weil height (log_{2} max(n, d)) | 34.8692 |
Wilson height (sopfr (nd)) | 68 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.61928 bits |
Comma size | large |
open this interval in xen-calc |
177147/163840, the tragicomma or deeptone comma, is equal to an apotome plus a syntonic comma, putting it on the syntonic-chromatic equivalence continuum.
It is tempered out in edos like 7, 33, 40, and 47, creating a temperament where the 5ths are flat, but not as flat as mavila or whitewood and it takes 11 of them to reach the best approximation of the 5th harmonic.
Deeptone was given by CompactStar in 2023. Tragicomical was allegedly given by groundfault no later than 2023.^{[1]}