50/33: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = ptolemismic fifth, 5edo-esque fifth
| Ratio = 50/33
| Monzo = 1 -1 2 0 -1
| Cents = 719.35448
| Name = undecimal super fifth <br/> "5-EDO"-esque fifth
| Color name = 1uyy5, luyoyo 5th
| Color name = 1uyy5, luyoyo 5th
| FJS name = A5<sup>25</sup><sub>11</sub>
| Sound = ji-50-33-csound-foscil-220hz.mp3
| Sound = ji-50-33-csound-foscil-220hz.mp3
}}
}}
'''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.


This interval is [[16/11]] augmented by [[25/24]].
== Approximation ==
Measuring about 719.4{{cent}}, 50/33 is very well approximated by [[5edo]] and its supersets.


== See also ==
== See also ==
* [[33/25]] – its [[octave complement]]
* [[33/25]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Superfifth]]
[[Category:Superfifth]]
[[Category:Interval ratio]]
[[Category:Ptolemismic]]
[[Category:todo:expand]]
[[Category:todo:improve synopsis]]