3-odd-limit: Difference between revisions

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Edo approximation, may be obvious but still important to note
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{{odd-limit navigation}}
{{Odd-limit navigation}}
{{odd-limit intro|3}}
{{Odd-limit intro|3}}


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All edos are [[consistent]] in the 3-odd-limit, since there are only two [[pitch class]]es besides the octave.


== See also ==
== See also ==

Revision as of 10:11, 14 February 2025

The 3-odd-limit is the set of all rational intervals which can be written as 2k(a/b) where a, b ≤ 3 and k is an integer. To the 1-odd-limit, it adds 1 pairs of octave-reduced interval involving 3.

Below is a list of all octave-reduced intervals in the 3-odd-limit.

Ratio Size (¢) Color name Name
4/3 498.045 w4 wa 4th just perfect fourth
3/2 701.955 w5 wa 5th just perfect fifth

All edos are consistent in the 3-odd-limit, since there are only two pitch classes besides the octave.

See also