33/25
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Ratio | 33/25 |
Factorization | 3 × 5^{-2} × 11 |
Monzo | [0 1 -2 0 1⟩ |
Size in cents | 480.64552¢ |
Names | ptolemismic fourth, undecimal imperfect fourth, 5edo-esque fourth |
Color name | 1ogg4, logugu 4th |
FJS name | [math]\text{d4}^{11}_{5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 9.68825 |
Weil height (log_{2} max(n, d)) | 10.0888 |
Wilson height (sopfr (nd)) | 24 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.46726 bits |
[sound info] | |
open this interval in xen-calc |
33/25, the ptolemismic fourth, the undecimal imperfect fourth or the 5edo-esque fourth, is an 11-limit interval. It is flat of 4/3, the perfect fourth, by 100/99, the ptolemisma, hence the name. It is also sharp of 21/16, the subfourth, by 176/175, the valinorsma. Being 11/8 diminished by 25/24, it is technically a semidiminished fourth aka paraminor fourth.
Approximation
Measuring about 480.6 ¢, 33/25 is very well approximated by 5edo and its supersets.
See also
- 50/33 – its octave complement
- 25/22 – its fifth complement
- Gallery of just intervals
- File:Ji-33-25-csound-foscil-220hz.mp3 – another sound example