11-odd-limit: Difference between revisions
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DesertFreeze (talk | contribs) Partch did not base his 43-tone scale off of the 11-odd-limit; revision |
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{{ | {{Odd-limit navigation|11}} | ||
{{Odd-limit intro|11}} | |||
* [[1/1]] | * [[1/1]] | ||
* '''[[12/11]] | * '''[[12/11]], [[11/6]]''' | ||
* '''[[11/10]] | * '''[[11/10]], [[20/11]]''' | ||
* [[10/9]], [[9/5]] | * [[10/9]], [[9/5]] | ||
* [[9/8]], [[16/9]] | * [[9/8]], [[16/9]] | ||
| Line 10: | Line 9: | ||
* [[7/6]], [[12/7]] | * [[7/6]], [[12/7]] | ||
* [[6/5]], [[5/3]] | * [[6/5]], [[5/3]] | ||
* '''[[11/9]] | * '''[[11/9]], [[18/11]]''' | ||
* [[5/4]], [[8/5]] | * [[5/4]], [[8/5]] | ||
* '''[[14/11]] | * '''[[14/11]], [[11/7]]''' | ||
* [[9/7]], [[14/9]] | * [[9/7]], [[14/9]] | ||
* [[4/3]], [[3/2]] | * [[4/3]], [[3/2]] | ||
* '''[[11/8]] | * '''[[11/8]], [[16/11]]''' | ||
* [[7/5]], [[10/7]] | * [[7/5]], [[10/7]] | ||
| Line 45: | Line 44: | ||
| 417.508 | | 417.508 | ||
| 1uz4 | | 1uz4 | ||
| luzo | | luzo 4th | ||
| undecimal major third | | undecimal major third | ||
|- | |- | ||
| Line 52: | Line 51: | ||
| 1o4 | | 1o4 | ||
| ilo 4th | | ilo 4th | ||
| undecimal | | undecimal superfourth | ||
|- | |- | ||
| [[16/11]] | | [[16/11]] | ||
| Line 58: | Line 57: | ||
| 1u5 | | 1u5 | ||
| lu 5th | | lu 5th | ||
| undecimal | | undecimal subfifth | ||
|- | |- | ||
| [[11/7]] | | [[11/7]] | ||
| Line 84: | Line 83: | ||
| greater undecimal neutral seventh | | greater undecimal neutral seventh | ||
|} | |} | ||
The smallest [[equal division of the octave]] which is [[consistent]] in the 11-odd-limit is [[22edo]]. | |||
The one which is distinctly consistent in the same is [[58edo]] (also the smallest EDO to be consistent in the [[17-odd-limit]]). | |||
== Link to Harry Partch == | |||
The 11-odd-limit is significant to [[Harry Partch]]'s instruments and theorization. He built his [[:File:Diamond marimba layout.png|diamond marimba]], (along with many other instruments), off of the [[11-odd-limit]], more specifically, his 11-odd-limit [[tonality diamond]], a concept he pioneered and (primarily) created. | |||
== See also == | |||
* [[11-limit]] ([[prime limit]]) | |||
* [[diamond11]] – as a scale | |||
[[Category: | [[Category:11-odd-limit| ]] <!-- main article --> | ||