A-team: Difference between revisions

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==A-team tuning spectrum==

===The 13edo-to-31edo range===

Occupies the flat end of the spectrum, 461 to about 465 cents. 18edo is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo and 44edo.

Occupies the flat end of the spectrum, 461.54 to about 465 cents. 18edo is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo and 44edo.

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.

@@ Line 12: / Line 12: @@
 ==A-team tuning spectrum==
 ===The 13edo-to-31edo range===
-Occupies the flat end of the spectrum, 461 to about 465 cents. 18edo is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo and 44edo.
+Occupies the flat end of the spectrum, 461.54 to about 465 cents. 18edo is an edge case, as it tempers out 81/80 but fails to approximate more diverse intervals with the same identifications used by 13edo and 44edo.
 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.