33/25: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| | | Name = ptolemismic fourth, 5edo-esque fourth | ||
| Color name = 1ogg4, logugu 4th | | Color name = 1ogg4, logugu 4th | ||
| Sound = jid_33_25_pluck_adu_dr220.mp3 | | Sound = jid_33_25_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''33/25''', the '''ptolemismic 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{{cent}}, 33/25 is very well approximated by [[5edo]] and its supersets. | |||
{{Interval edo approximation|33/25}} | |||
== See also == | == See also == | ||
* [[50/33]] – its [[octave complement]] | |||
* [[25/22]] – its [[fifth complement]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[ | * [[:File:Ji-33-25-csound-foscil-220hz.mp3]] – another sound example | ||
[[Category:Fourth]] | [[Category:Fourth]] | ||
[[Category: | [[Category:Subfourth]] | ||
[[Category:Ptolemismic]] | |||
[[Category: | |||
Latest revision as of 13:09, 3 November 2025
| Interval information |
5edo-esque fourth
[sound info]
33/25, the ptolemismic 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.
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 2\5 | 480.00 | -0.65 | -0.27 |
| 10 | 4\10 | 480.00 | -0.65 | -0.54 |
| 15 | 6\15 | 480.00 | -0.65 | -0.81 |
| 20 | 8\20 | 480.00 | -0.65 | -1.08 |
| 25 | 10\25 | 480.00 | -0.65 | -1.34 |
| 30 | 12\30 | 480.00 | -0.65 | -1.61 |
| 35 | 14\35 | 480.00 | -0.65 | -1.88 |
| 40 | 16\40 | 480.00 | -0.65 | -2.15 |
| 45 | 18\45 | 480.00 | -0.65 | -2.42 |
| 50 | 20\50 | 480.00 | -0.65 | -2.69 |
| 55 | 22\55 | 480.00 | -0.65 | -2.96 |
| 60 | 24\60 | 480.00 | -0.65 | -3.23 |
| 65 | 26\65 | 480.00 | -0.65 | -3.50 |
| 70 | 28\70 | 480.00 | -0.65 | -3.77 |
| 75 | 30\75 | 480.00 | -0.65 | -4.03 |
| 80 | 32\80 | 480.00 | -0.65 | -4.30 |
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