Safe Haskell | Safe |
---|---|
Language | Haskell98 |
Pitch-class set (unordered) operations on Z12
.
Documentation
pcset :: Integral a => [a] -> [Z12] Source #
Map to pitch-class and reduce to set.
pcset [1,13] == [1]
tto_tn :: Z12 -> [Z12] -> [Z12] Source #
Transpose by n.
tto_tn 4 [1,5,6] == [5,9,10] tto_tn 4 [0,4,8] == [0,4,8]
tto_invert :: Z12 -> [Z12] -> [Z12] Source #
Invert about n.
tto_invert 6 [4,5,6] == [6,7,8] tto_invert 0 [0,1,3] == [0,9,11]
tto_tni :: Z12 -> [Z12] -> [Z12] Source #
Composition of invert
about 0
and tn
.
tto_tni 4 [1,5,6] == [3,10,11] (tto_invert 0 . tto_tn 4) [1,5,6] == [2,3,7]
tto_mn :: Z12 -> [Z12] -> [Z12] Source #
Modulo 12 multiplication
tto_mn 11 [0,1,4,9] == tto_invert 0 [0,1,4,9]
tto_t_related :: [Z12] -> [[Z12]] Source #
T-related sets of p.
length (tto_t_related [0,1,3]) == 12 tto_t_related [0,3,6,9] == [[0,3,6,9],[1,4,7,10],[2,5,8,11]]
tto_ti_related :: [Z12] -> [[Z12]] Source #
T/I-related set of p.
length (tto_ti_related [0,1,3]) == 24 tto_ti_related [0,3,6,9] == [[0,3,6,9],[1,4,7,10],[2,5,8,11]]