3-odd-limit: Difference between revisions
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{{ | {{Odd-limit navigation|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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| w4 | | w4 | ||
| wa 4th | | wa 4th | ||
| just perfect | | just perfect fourth | ||
|- | |- | ||
| [[3/2]] | | [[3/2]] | ||
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|} | |} | ||
[[Category: | 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 == | |||
* [[3-limit]] ([[prime limit]]) | |||
[[Category:3-odd-limit| ]] <!-- main article --> | |||