33/25: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = ptolemismic fourth, 5edo-esque fourth
| Ratio = 33/25
| Monzo = 0 1 -2 0 1
| Cents = 480.64552
| Names = undecimal sub-fourth <br/> "5-EDO"-esque fourth
| Color name = 1ogg4, logugu 4th
| Color name = 1ogg4, logugu 4th
| FJS name = d4<sup>11</sup><sub>25</sub>
| 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.


todo:
== Approximation ==
* introduction
Measuring about 480.6{{cent}}, 33/25 is very well approximated by [[5edo]] and its supersets.
* expand article (edos, context links)


== See also ==
== See also ==
* [[50/33]] – its [[octave complement]]
* [[50/33]] – its [[octave complement]]
* [[25/22]] – its [[fifth complement]]
* [[25/22]] – its [[fifth complement]]
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* [[:File:Ji-33-25-csound-foscil-220hz.mp3]] – another sound example
* [[:File:Ji-33-25-csound-foscil-220hz.mp3]] – another sound example


[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Subfourth]]
[[Category:Listen]]
[[Category:Ptolemismic]]
 
[[Category:todo:expand]]
[[Category:todo:improve synopsis]]