NAME
MIDI::Praxis::Variation - Variation techniques used in music composition
VERSION
version 0.0607
SYNOPSIS
use MIDI::Praxis::Variation ':all';
# Or import individually by function name:
# use MIDI::Praxis::Variation qw(augmentation diminution etc);
my @notes = qw(C5 E5 G5);
my @dura = qw(qn qn);
my @x = augmentation(@dura);
@x = diminution(@dura);
my $y = dur('qn');
@x = inversion('B4', @notes);
$y = note2num('C5');
@x = ntup(2, @notes);
@x = notes2nums(@notes);
$y = raugmentation(1.5, @dura);
$y = rdiminution(1.5, @dura);
@x = retrograde(@notes);
@x = retrograde_inversion('B4', @notes);
@x = transposition(-12, @notes); # Transpose an octave down
$y = tie_durations(@dura);
DESCRIPTION
Melodic variation techniques, as implemented here, expect MIDI::Simple style note names or durations as input. They return MIDI note numbers or duration values in ticks (where one quarter note = 96 ticks).
FUNCTIONS
note_name_to_number, note2num
$x = note_name_to_number($note_name);
$x = note2num($note_name);
Map a single note name to an equivalent MIDI note number (or -1 if not known).
original, notes2nums
@x = original(@array);
@x = notes2nums(@array);
Map a list of note names to MIDI note numbers.
retrograde
@x = retrograde(@array);
Form the retrograde of an array of note names as MIDI note numbers.
transposition
@x = transposition($distance, @array);
Form the transposition of an array of notes or MIDI note numbers.
Arguments:
$distance - An integer giving distance and direction.
@array - An array of note names OR MIDI note numbers.
For example, 8 indicates 8 semitones up while -7 asks for 7 semitones down.
inversion
@x = inversion($axis, @array);
Form the inversion of an array of notes.
Arguments:
$axis - A note to use as the axis of this inversion.
@array - An array of note names.
Expects to see a MIDI note name followed by an array of such names. These give the axis of inversion and the notes to be inverted.
retrograde_inversion
@x = retrograde_inversion($axis, @array);
Form the retrograde inversion of an array of notes.
Arguments:
$axis - A note to use as the axis of this inversion.
@array - An array of note names.
Inverts about the supplied axis.
dur
$x = dur($dur_or_len);
Compute duration of a note in MIDI ticks.
Arguments:
$dur_or_len - A string consisting of a MIDI tick numeric
duration spec (e.g. d48, or d60) or length spec (e.g. qn or dhn)
tye, tie_durations
$x = tye(@dur_or_len);
$x = tie_durations(@dur_or_len);
Compute the sum of the durations of notes, as with a tie in music notation. (The odd spelling is used to avoid conflict with the perl reserved word tie.)
Arguments:
@dur_or_len - A list of strings consisting of MIDI tick
numeric duration specs (e.g. d48, or d60) or length specs (e.g. qn
or dhn)
raugmentation
$x = raugmentation($ratio, @dur_or_len);
Augment duration of notes, multiplying them by $ratio.
Arguments:
$ratio - Multiplier
@dur_or_len - A list of MIDI tick numeric duration specs
(e.g. d48, or d60) or length specs (e.g. qn or dhn)
rdiminution
$x = rdiminution($ratio, @dur_or_len);
Diminish duration of notes, dividing them by $ratio.
Arguments:
$ratio - Divisor
@dur_or_len - A list of MIDI tick numeric duration specs
(e.g. d48, or d60) or length specs (e.g. qn or dhn)
augmentation
@x = augmentation(@dur_or_len);
Augment duration of notes multiplying them by 2, (i.e. double) and return each in an array reference.
Arguments:
@dur_or_len - A list of strings consisting of MIDI tick
numeric duration specs (e.g. d48, or d60) or length specs (e.g. qn
or dhn)
diminution
@x = diminution(@dur_or_len);
Diminish durations of notes dividing them by 2, (i.e. halve) and return each in an array reference.
Arguments:
@dur_or_len - A list of strings consisting of MIDI tick
numeric duration specs (e.g. d48, or d60) or length specs (e.g. qn
or dhn)
ntup
@x = ntup($nelem, @subject);
Catalog and return tuples of length $nelem in @subject.
Arguments:
$nelem - Number of elements in each tuple
@subject - Subject array to be scanned for tuples
Scan begins with the 0th element of @subject looking for a tuple of length $nelem. Scan advances by one until it has found all tuples of length $nelem. For example: given the array @ar = qw(1 2 3 4)
and $nelem = 2
, then ntup(2, @ar)
would return qw(1 2 2 3 3 4)
.
Note that if $nelem equals -1
, 0
, or a value greater than the size of @subject, this function will return ()
;
SEE ALSO
The eg/* and t/01-functions.t files in this distribution
MAINTAINER
Gene Boggs <gene@cpan.org>
AUTHOR
Craig Bourne <cbourne@cpan.org>
COPYRIGHT AND LICENSE
This software is copyright (c) 2004 by Craig Bourne.
This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.