Music.Theory.Z12.Morris_1987

Robert Morris. /Composition with Pitch-Classes: A Theory of Compositional Design/. Yale University Press, New Haven, 1987.

Documentation

int :: [Z12] -> [Z12]

INT operator.

 int [0,1,3,6,10] == [1,2,3,4]

Serial operations

data SRO

Serial Operator,of the form rRTMI.

Constructors

SRO Z12 Bool Z12 Bool Bool

Instances

Eq SRO

Show SRO

sro :: SRO -> [Z12] -> [Z12]

Serial operation.

>>> sro T4 156
59A

 sro (rnrtnmi "T4") (pco "156") == [5,9,10]

>>> echo 024579 | sro RT4I
79B024

 sro (SRO 0 True 4 False True) [0,2,4,5,7,9] == [7,9,11,0,2,4]

>>> sro T4I 156
3BA

 sro (rnrtnmi "T4I") (pco "156") == [3,11,10]
 sro (SRO 0 False 4 False True) [1,5,6] == [3,11,10]

>>> echo 156 | sro T4  | sro T0I
732

 (sro (rnrtnmi "T0I") . sro (rnrtnmi "T4")) (pco "156") == [7,3,2]

>>> echo 024579 | sro RT4I
79B024

 sro (rnrtnmi "RT4I") (pco "024579") == [7,9,11,0,2,4]

 sro (SRO 1 True 1 True False) [0,1,2,3] == [11,6,1,4]
 sro (SRO 1 False 4 True True) [0,1,2,3] == [11,6,1,4]

sros :: [Z12] -> [(SRO, [Z12])]

The total set of serial operations.

sro_Tn :: [SRO]

The set of transposition SROs.

sro_TnI :: [SRO]

The set of transposition and inversion SROs.

sro_RTnI :: [SRO]

The set of retrograde and transposition and inversion SROs.

sro_TnMI :: [SRO]

The set of transposition,M5 and inversion SROs.

sro_RTnMI :: [SRO]

The set of retrograde,transposition,M5 and inversion SROs.