33/25: Difference between revisions

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Improved lead section, added approximation section, misc. edits, categories
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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Ratio = 33/25
| Name = undecimal imperfect fourth, "5-EDO"-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
}}
}}
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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:Fourth]]
[[Category:Fourth]]
[[Category:Subfourth]]
[[Category:Subfourth]]


{{todo|expand}}
{{todo|expand}}

Revision as of 15:05, 25 October 2022

Interval information
Ratio 33/25
Factorization 3 × 5-2 × 11
Monzo [0 1 -2 0 1
Size in cents 480.6455¢
Names undecimal imperfect fourth,
"5-EDO"-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 undecimal imperfect fourth, is an 11-limit interval. It corresponds to 11/8 diminished by 25/24.

Approximation

Measuring about 480.6 ¢, 33/25 is very well approximated by 5edo and its supersets.

See also