11ed13/9: Difference between revisions
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'''11ED13/9''' is the [[Equal-step tuning|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent|cents]] each, corresponding to 20.7346 [[EDO|edo]]. It is related to 13-limit temperaments which temper out 10648/10647 | {{Infobox ET}} | ||
'''11ED13/9''' is the [[Equal-step tuning|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent|cents]] each, corresponding to 20.7346 [[EDO|edo]]. It is related to 13-limit temperaments which temper out 10648/10647, 41503/41472, and 59535/59488. | |||
==Intervals== | ==Intervals== | ||
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==Related | ==Related temperaments== | ||
===13-limit 166&311&373=== | |||
Commas: 10648/10647, 41503/41472, 59535/59488 | |||
POTE generators: ~3/2 = 701.805, ~91/88 = 57.897 | |||
Mapping: [<1 0 -1 3 0 0|, <0 1 1 0 2 2|, <0 0 36 -4 6 11|] | |||
EDOs: {{EDOs|62, 145, 166, 207, 311, 373, 518, 684, 829}} | |||
===13-limit 166&311=== | ===13-limit 166&311=== | ||
Commas: 1575/1573, 2080/2079, 2200/2197, 35035/34992 | Commas: 1575/1573, 2080/2079, 2200/2197, 35035/34992 | ||
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POTE generator: 571.061 | POTE generator: 571.061 | ||
Mapping: [<1 23 58 -1 52 57|, <0 -45 -117 8 -102 -112|] | |||
EDOs: 145, 166, 311, 456f, 477c | EDOs: {{EDOs|145, 166, 311, 456f, 477c}} | ||
Badness: 0.0401 | Badness: 0.0401 | ||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||