A-team: Difference between revisions

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The generator ccupies the flat end of the spectrum, from 13edo's 461.54 cents to 31edo's 464.52 cents.

Surprisingly, A-Team tunings in this range can approximate some high-limit JI chords, owing to the generator being close to the 17/13 ratio and three of them approximating both 9/8 and 10/9, thus approximating their [[mediant]] 19/17. The 11th harmonic makes an appearance too, because it is approximated by both 13edo and 31edo. Thus A-Team can be viewed as representing the no-3, no-7 19-odd limit. If you optimize for this 19 limit harmony you also get the 23rd harmonic for free.

Surprisingly, A-Team tunings in this range can approximate some high-limit JI chords, owing to the generator being close to the 17/13 ratio and three of them approximating both 9/8 and 10/9, thus approximating their [[mediant]] 19/17. The 11th harmonic makes an appearance too, because it is approximated by both 13edo and 31edo. Thus A-Team can be viewed as representing the no-3, no-7 19-odd limit. If you optimize for this 19 limit harmony you also kinda get the 23rd harmonic for free.

The most plentiful consonant triad in A-Team scales is 4:9:21 or 8:18:21 (the voicing of the 21th harmonic is important for making it sound smooth), followed by 13:17:19 and 4:5:9.

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| style="text-align:center;" | 9

| style="text-align:right;" | 568.55

| style="text-align:center;" | 32/23

| style="text-align:center;" | close to 32/23

| style="text-align:center;" | A4

| style="text-align:center;" | -9

@@ Line 21: / Line 21: @@
 The generator ccupies the flat end of the spectrum, from 13edo's 461.54 cents to 31edo's 464.52 cents.
-Surprisingly, A-Team tunings in this range can approximate some high-limit JI chords, owing to the generator being close to the 17/13 ratio and three of them approximating both 9/8 and 10/9, thus approximating their [[mediant]] 19/17. The 11th harmonic makes an appearance too, because it is approximated by both 13edo and 31edo. Thus A-Team can be viewed as representing the no-3, no-7 19-odd limit. If you optimize for this 19 limit harmony you also get the 23rd harmonic for free.
+Surprisingly, A-Team tunings in this range can approximate some high-limit JI chords, owing to the generator being close to the 17/13 ratio and three of them approximating both 9/8 and 10/9, thus approximating their [[mediant]] 19/17. The 11th harmonic makes an appearance too, because it is approximated by both 13edo and 31edo. Thus A-Team can be viewed as representing the no-3, no-7 19-odd limit. If you optimize for this 19 limit harmony you also kinda get the 23rd harmonic for free.
 The most plentiful consonant triad in A-Team scales is 4:9:21 or 8:18:21 (the voicing of the 21th harmonic is important for making it sound smooth), followed by 13:17:19 and 4:5:9.
@@ Line 127: / Line 127: @@
 | style="text-align:center;" | 9
 | style="text-align:right;" | 568.55
-| style="text-align:center;" | 32/23
+| style="text-align:center;" | close to 32/23
 | style="text-align:center;" | A4
 | style="text-align:center;" | -9