memo

12EDO-complementary comma pairs (e.g. syntonic-schismatic relation)

4*P5=M3 8*P5+M3=P1
M3=5/4 81/80=[-4 4 -1⟩ 32805/32768=[-15 8 1⟩ A*B=[-19 12⟩, A:Meantone, B:Schismatic
M3=9/7 64/63=[6 -2 0 -1⟩ 59049/57344=[-13 10 0 -1⟩ B/A=[-19 12⟩, A:Archytas clan, B:Septimal meantone
M3=11/9 729/704=[-6 6 0 0 -1⟩ 8192/8019=[13 -6 0 0 -1⟩ A/B=[-19 12⟩, A:???, B:Archytas clan #Supra
M3?=6/5 135/128=[-7 3 1⟩ (64/63)^2*(245/243)=[12 -9 1⟩ A/B=[-19 12⟩, A:Mavila, B:Superpyth

31EDO-complementary comma pairs (e.g. 11-limit meantone-meanpop relation)