A-team: Difference between revisions
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'''tl;dr:''' [[44edo]] good | '''tl;dr:''' [[44edo]] good | ||
This extension occupies 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 pretty much 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 pretty much get the 23rd harmonic for free. | ||