33/25: Difference between revisions

Improved lead section, added approximation section, misc. edits, categories
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
(6 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Ratio = 33/25
| Name = ptolemismic fourth, 5edo-esque fourth
| Monzo = 0 1 -2 0 1
| Cents = 480.64552
| Name = undecimal imperfect 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 '''undecimal imperfect fourth''', is an [[11-limit]] interval. It corresponds to [[11/8]] diminished by [[25/24]].
'''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]]
Line 19: Line 15:
* [[: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:Fourth]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Subfourth]]
 
[[Category:Ptolemismic]]
{{todo|expand}}