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
| Name = 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.
== Approximation ==
Measuring about 480.6{{cent}}, 33/25 is very well approximated by [[5edo]] and its supersets.


== 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:add introduction]]

Latest revision as of 02:03, 9 October 2024

Interval information
Ratio 33/25
Factorization 3 × 5-2 × 11
Monzo [0 1 -2 0 1⟩
Size in cents 480.6455¢
Names ptolemismic fourth,
5edo-esque fourth
Color name 1ogg4, logugu 4th
FJS name [math]\displaystyle{ \text{d4}^{11}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.68825
Weil height (log2 max(n, d)) 10.0888
Wilson height (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

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.

See also

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