Thirteen limit tetrads: Difference between revisions

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There are four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.
There are four [[13-limit]] [[Tetrad|tetrads]] with smallest [[Step|steps]] all larger than [[11/10]]; these are the [[Otonality and utonality|otonal]] chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their [[Otonality and utonality|utonal]] counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.
 
[[Category:13-limit]]
[[Category:13-limit]]
[[Category:tetrad]]
[[Category:Tetrads]]
[[Category:todo:add_links]]
 
[[Category:todo:expand]]
{{Todo| review | discuss title }}

Latest revision as of 12:01, 23 May 2023

There are four 13-limit tetrads with smallest steps all larger than 11/10; these are the otonal chords 1-9/8-5/4-13/8 and 1-9/8-11/8-13/8 and their utonal counterparts 1-13/10-13/9-13/8 and 1-13/11-13/9-13/8, with respective steps of 9/8-10/9-13/10-16/13, 9/8-11/9-13/11-16/13, 13/10-10/9-9/8-16/13 and 13/11-11/9-9/8-16/13.