Equal-step tuning: Difference between revisions

The Alpha, Beta, and Gamma types bring their interval pairs increasingly close to just intonation. <math>n</math> also brings the interval pairs increasingly near to pure.

''[[User:Contribution/Successive superparticular complementary pair#The converging Alpha-Beta-Gamma sequence|A bigger picture of the converging Alpha-Beta-Gamma sequence: The_converging_Alpha-Beta-Gamma_sequence]]''

Musically, scales of the Alpha-Beta-Gamma family are perfect for making almost pure chords filling the vertical space. For example, with [[7ed5/3]], [[9ed5/3]] and [[16ed5/3]], it is possible to make big chords stacking a repetition of [[5/4]] [[4/3]] repeating at [[5/3]], or a repetition of [[4/3]] [[5/4]] repeating at [[5/3]]; with [[9edf|9ed3/2]], [[11edf|11ed3/2]] and [[20edf|20ed3/2]], it is possible to make big chords stacking a repetition of [[6/5]] [[5/4]] repeating at [[3/2]] or [[5/4]] [[6/5]] repeating at [[3/2]]; with [[11ed7/5]], [[13ed7/5]] and [[24ed7/5]], big chords stacking a repetition of [[7/6]] [[6/5]] repeating at [[7/5]] or [[6/5]] [[7/6]] repeating at [[7/5]]; with [[13ed4/3]], [[15ed4/3]] and [[28ed4/3]], big chords stacking a repetition of [[8/7]] [[7/6]] repeating at [[4/3]] or [[7/6]] [[8/7]] repeating at [[4/3]]; and so on.