User:Dummy index/Just odd intonation

Widening or narrowing P8 first.

JO meantone

(3/2,5/4)

4*P5 = M3 + 2*P8

Cents Interval Ratio
0.0 P1 1/1
193.157 M2 9/8/(81/80)^(1/2)
386.314 M3 5/4
508.798 P4 4/3*(81/80)^(1/2)
701.955 P5 3/2
895.112 M6 5/3*(81/80)^(1/2)
1088.269 M7 15/8
1210.753 P8 2*(81/80)^(1/2)


(3/1,5/1)

4*P12 = M17 + 2*P8

Cents Interval Ratio
0.0 P1 1/1
187.780 M2 9/8/(81/80)^(3/4)
375.561 M3 5/4/(81/80)^(1/2)
508.798 P4 4/3*(81/80)^(1/2)
696.578 P5 3/2/(81/80)^(1/4)
884.359 M6 5/3
1072.139 M7 15/8/(81/80)^(3/4)
1205.377 P8 2*(81/80)^(1/4)


(3/1,5/4)

4*P12 = M3 + 6*P8

Cents Interval Ratio
0.0 P1 1/1
193.157 M2 9/8/(81/80)^(1/2)
386.314 M3 5/4
505.214 P4 4/3*(81/80)^(1/3)
698.371 P5 3/2/(81/80)^(1/6)
891.527 M6 5/3*(81/80)^(1/3)
1084.684 M7 15/8/(81/80)^(1/6)
1203.584 P8 2*(81/80)^(1/6)


JO 7-limit meantone

JO schismatic