Music.Theory.Metric.Morris_1980

Robert Morris. "A Similarity Index for Pitch-Class Sets". Perspectives of New Music, 18(2):445-460, 1980.

Documentation

sim :: Integral a => [Z12] -> [Z12] -> a

SIM

 icv [0,1,3,6] == [1,1,2,0,1,1] && icv [0,2,4,7] == [0,2,1,1,2,0]
 sim [0,1,3,6] [0,2,4,7] == 6
 sim [0,1,2,4,5,8] [0,1,3,7] == 9

asim :: Integral n => [Z12] -> [Z12] -> Ratio n

ASIM

 asim [0,1,3,6] [0,2,4,7] == 6/12
 asim [0,1,2,4,5,8] [0,1,3,7] == 9/21
 asim [0,1,2,3,4] [0,1,4,5,7] == 2/5
 asim [0,1,2,3,4] [0,2,4,6,8] == 3/5
 asim [0,1,4,5,7] [0,2,4,6,8] == 3/5