50/33
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Ratio
50/33
Factorization
2 × 3-1 × 52 × 11-1
Monzo
[1 -1 2 0 -1⟩
Size in cents
719.35448¢
Names
ptolemismic fifth,
5edo-esque fifth
Color name
1uyy5, luyoyo 5th
FJS name
[math]\text{A5}^{5,5}_{11}[/math]
Special properties
reduced
Tenney height (log2 nd)
10.6883
Weil height (log2 max(n, d))
11.2877
Wilson height (sopfr(nd))
26
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.09894 bits
[sound info]
open this interval in xen-calc
| Interval information |
5edo-esque fifth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
50/33, the ptolemismic fifth 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.