Fifteen limit tetrads: Difference between revisions
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re-categorisation (AWB), typos fixed: trinidad → Trinidad (4) |
m Moving from Category:15-limit to Category:15-odd-limit using Cat-a-lot |
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=9-11-13-15= | =9-11-13-15= | ||
These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5. | These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5. | ||
[[Category:15-limit]] | [[Category:15-odd-limit]] | ||
[[Category:Chords]] | [[Category:Chords]] | ||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:Todo:add links]] | [[Category:Todo:add links]] | ||
Revision as of 02:43, 20 April 2023
5-9-13-15
The two trinidad tetrads are 15-limit tetrads with no step size smaller than 10/9 and containing an interval of a fifth; these are the otonal trinidad tetrad, 1-13/10-3/2-9/5, with steps 13/10-15/13-6/5-10/9, and the utonal trinidad tetrad, 1-15/13-3/2-5/3, with steps 15/13-13/10-10/9-6/5. These are just intonation tetrads and do not require tempering in trinidad temperament or anything else, but they do belong to the same 2.3.5.13 subgroup on which trinidad is defined and are certainly characteristic of the temperament.
9-11-13-15
These two tetrads are the otonal, 1-15/13-15/11-5/3, with steps of 15/13-13/11-11/9-6/5, and the utonal, 1-11/9-13/9-5/3 with steps of 11/9-13/11-15/13-6/5.