33/25: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = ptolemismic fourth, undecimal imperfect fourth, 5edo-esque fourth
| 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''', 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.  
'''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 ==
== Approximation ==
Measuring about 480.6{{cent}}, 33/25 is very well approximated by [[5edo]] and its supersets.
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]]
* [[50/33]] – its [[octave complement]]