A-team: Difference between revisions

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Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS.

==Notations==

There are two ways to notate A-Team in a tuning-independent way:

#The octatonic notation described by Cryptic Ruse and Kentaku.

#In [[pergen]] notation, as every other interval of the third-fifth pergen (P8, P5/3). This works because the 21/16 generator of A-Team is two third-fifths, three of which are equal to two perfect fifths (i.e. a 9/8).

==JI interpretations==

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 4:5:9:13:19:21, and one copy of 4:9:21:23. Flattening just the seventh and eighth degrees of the LsLssLsLssLss mode of A-Team[13] by the 13-generator interval (~25.5 cents) gives all of these harmonics (with the chord 4:5:9:11:13:17:19:21:23) over a single root. (I don't know how to write this in color notation.)

@@ Line 4: / Line 4: @@
 Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS.
+==Notations==
+There are two ways to notate A-Team in a tuning-independent way:
+#The octatonic notation described by Cryptic Ruse and Kentaku.
+#In [[pergen]] notation, as every other interval of the third-fifth pergen (P8, P5/3). This works because the 21/16 generator of A-Team is two third-fifths, three of which are equal to two perfect fifths (i.e. a 9/8).
 ==JI interpretations==
 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 4:5:9:13:19:21, and one copy of 4:9:21:23. Flattening just the seventh and eighth degrees of the LsLssLsLssLss mode of A-Team[13] by the 13-generator interval (~25.5 cents) gives all of these harmonics (with the chord 4:5:9:11:13:17:19:21:23) over a single root. (I don't know how to write this in color notation.)