A-team: Difference between revisions

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==JI interpretations==
==JI interpretations==
===Meantone spectrum===
===Meantone spectrum (13&31)===
Surprisingly, A-Team tunings can have good approximations of some high-limit JI chords. The most plentiful consonant triad is 4:9:21 or 8:18:21, followed by 4:5:9. The following tuning (and the 44edo tuning) of A-Team[13] has five copies of 4:5:9:13:17:21, three copies of 4:5:9:11, two copies of 4:5:9:(11):13, two copies of 4:5:9:13:19:21, and one copy of 4:9:(15):21:23. The 13-note [[MODMOS]] given by flattening just the seventh and eighth degrees of the LsLssLsLssLss mode of A-Team[13] by the 13-generator interval (~25.5 cents) gives the entire 4:5:9:11:13:17:19:21:23 otonal chord over a single root.
Surprisingly, A-Team tunings can have good approximations of some high-limit JI chords. The most plentiful consonant triad is 4:9:21 or 8:18:21, followed by 4:5:9. The following tuning (and the 44edo tuning) of A-Team[13] has five copies of 4:5:9:13:17:21, three copies of 4:5:9:11, two copies of 4:5:9:(11):13, two copies of 4:5:9:13:19:21, and one copy of 4:9:(15):21:23. The 13-note [[MODMOS]] given by flattening just the seventh and eighth degrees of the LsLssLsLssLss mode of A-Team[13] by the 13-generator interval (~25.5 cents) gives the entire 4:5:9:11:13:17:19:21:23 otonal chord over a single root.


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(***) 65/64 and other commas only tempered out by 13edo
(***) 65/64 and other commas only tempered out by 13edo
===Non-meantone tunings (18&23)===
===Non-meantone tunings (18&23)===