50/33: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = ptolemismic fifth, 5edo-esque fifth
| Ratio = 50/33
| Color name = 1uyy5, luyoyo 5th
| Monzo = 1 -1 2 0 -1
| Cents = 719.354484
| Name = undecimal super fifth
| Sound = ji-50-33-csound-foscil-220hz.mp3
| Sound = ji-50-33-csound-foscil-220hz.mp3
| Color name = 1uyy5, luyoyo 5th
}}
}}
'''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.


todo:
== Approximation ==
* expand article
Measuring about 719.4{{cent}}, 50/33 is very well approximated by [[5edo]] and its supersets.
* check if name is correct
 
This interval is 16/11 augmented by 25/24.


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


[[Category:11-limit]]
[[Category:Fifth]]
[[Category:fifth]]
[[Category:Superfifth]]
[[Category:interval]]
[[Category:Ptolemismic]]
[[Category:undecimal]]

Latest revision as of 02:04, 9 October 2024

Interval information
Ratio 50/33
Factorization 2 × 3-1 × 52 × 11-1
Monzo [1 -1 2 0 -1⟩
Size in cents 719.3545¢
Names ptolemismic fifth,
5edo-esque fifth
Color name 1uyy5, luyoyo 5th
FJS name [math]\displaystyle{ \text{A5}^{5,5}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.6883
Weil height (log2 max(n, d)) 11.2877
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

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.

Approximation

Measuring about 719.4 ¢, 50/33 is very well approximated by 5edo and its supersets.

See also

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