50/33
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Ratio | 50/33 |
Factorization | 2 × 3^{-1} × 5^{2} × 11^{-1} |
Monzo | [1 -1 2 0 -1⟩ |
Size in cents | 719.35448¢ |
Names | ptolemismic fifth, undecimal imperfect fifth, 5edo-esque fifth |
Color name | 1uyy5, luyoyo 5th |
FJS name | [math]\text{A5}^{5,5}_{11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 10.6883 |
Weil height (log_{2} max(n, d)) | 11.2877 |
Wilson height (sopfr (nd)) | 26 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.36129 bits |
[sound info] | |
open this interval in xen-calc |
50/33, the ptolemismic fifth, the undecimal superfifth or the 5edo-esque fifth, is an 11-limit interval. It is sharp of 3/2, the perfect fifth, by 100/99, the ptolemisma, hence the name. It is also flat of 32/21, the superfifth, by 176/175, the valinorsma. Being 16/11 augmented by 25/24, it is technically a semiaugmented fifth aka paramajor fifth.
Approximation
Measuring about 719.4 ¢, 50/33 is very well approximated by 5edo and its supersets.