Opusmodus 1.1.18732

New:

 

gen-binary-series size number level &key rotate

 

[Function]

 

Arguments and Values:

 

size                   an integer (list length).

number               an integer (decimal binary number).

level                 an integer (the unit count).

rotate               an integer (1 forwards and -1 backwards). The default is 0. 

variant            'p (prime), 'r (retrograde), 'i (inversion) 'ri (retrograde inversion)

                              and '? (at random).

seed        an integer or NIL. The default is NIL.

 

Description:

 

This function returns a binary list series of a given size. A random :seed may be given with variant arguments. This is a good function to use to create an instant beat/space rhythm as found in much traditional / world music.

 

binary 1 = (1) with level 2 = (0 1) with internal retrograde = (1 0)

 

(gen-binary-series 24 1 2)

=> (1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0)

 

binary 2 = (1 0) with level 5  = (0 0 0 1 0) with internal retrograde = (0 1 0 0 0)

 

(gen-binary-series 24 2 5)

=> (0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0)

 

Examples:

 

(gen-binary-series 24 1 '(3 2 4))

=> ((1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0)

    (1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0)

    (1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0))

 

(gen-binary-series 24 '(1 3 4) '(3 5 4) :rotate -2)

=> ((0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0)

    (0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1)

    (1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0))

 

(gen-binary-series '(8 12 16) '(1 3 4) '(3 5 4) :rotate '(1 -1 0))

=> ((0 1 0 0 1 0 0 1)

    (1 0 0 0 1 1 0 0 0 1 1 1)

    (0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0))

 

Example with variant option:

 

(gen-binary-series '(8 12 16) '(1 3 4) '(3 5 4)

                   :rotate '(1 -1 0) :variant '? :seed 786)

=> ((0 1 0 0 1 0 0 1)

    (1 0 0 0 1 1 0 0 0 1 1 1)

    (1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1))

 

(gen-binary-series '(8 12 16) '(1 3 4) '(3 5 4)

                   :rotate '(1 -1 0) :variant '(? r ri) :seed 786)

=> ((0 1 0 0 1 0 0 1)

    (1 1 1 0 0 0 1 1 0 0 0 1)

    (1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1))

 

(setf bin (gen-binary-series

           '(8 8 8 8 8 8 8 8) '(1 2 3) '(3 3 4)

           :variant '? :seed 62))

=> ((1 0 0 1 0 0 1 0)

    (1 0 0 1 0 0 1 0)

    (0 0 1 1 0 0 1 1)

    (0 1 0 0 1 0 0 1)

    (0 1 0 0 1 0 0 1)

    (1 1 0 0 1 1 0 0)

    (0 1 1 0 1 1 0 1)

    (0 1 1 0 1 1 0 1))

 

Mapping the bin variable to lengths with BINARY-MAP function:

 

(binary-map bin 's :omn t)

=> ((s - - = - - = -)

    (s - - = - - = -)

    (-s - = = - - = =)

    (-s = - - = - - =)

    (-s = - - = - - =)

    (s = - - = = - -)

    (-s = = - = = - =)

    (-s = = - = = - =))

 

-------------------------------------------------------------

 

And fix to GEN-REPEAT-SEQ

 

(gen-repeat-seq 12 1 3 '(c4 cs4 d4 ds4))

=> (c4 c4 c4 cs4 cs4 cs4 d4 d4 ds4 ds4 ds4 c4)