3-odd-limit: Difference between revisions

Edo approximation, may be obvious but still important to note
Overthink (talk | contribs)
perfect consonances
 
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{{Odd-limit navigation}}
{{Odd-limit navigation|3}}
{{Odd-limit intro|3}}
{{Odd-limit intro|3}}


* [[1/1]]
* [[1/1]]
* '''[[4/3]], [[3/2]]'''
* '''[[4/3]], [[3/2]]'''
The 3-odd-limit can be considered the set of {{W|perfect consonance}}s, containing the unison, octave, perfect fifth, and perfect fourth, which have the simplest [[frequency ratio]]s.


{| class="wikitable center-all right-2 left-5"
{| class="wikitable center-all right-2 left-5"
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All edos are [[consistent]] in the 3-odd-limit, since there are only two [[pitch class]]es besides the octave.  
All [[edo]]s are [[consistent]] in the 3-odd-limit, since every edo maps 3/2 and 4/3 to the nearest step by [[patent val]].
 
The {{w|natural density|density}} of edos consistent in the 3-odd-limit to distance ''d'' is expected to be 1/''d'' for {{nowrap| ''d'' ≥ 1 }}.  


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