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| 1 |  |  |  |  |  |  | package MIDI::Praxis::Variation; | 
| 2 |  |  |  |  |  |  | our $AUTHORITY = 'cpan:GENE'; | 
| 3 |  |  |  |  |  |  |  | 
| 4 |  |  |  |  |  |  | # ABSTRACT: Variation techniques used in music composition | 
| 5 |  |  |  |  |  |  |  | 
| 6 | 1 |  |  | 1 |  | 55375 | use strict; | 
|  | 1 |  |  |  |  | 7 |  | 
|  | 1 |  |  |  |  | 25 |  | 
| 7 | 1 |  |  | 1 |  | 4 | use warnings; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 29 |  | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | our $VERSION = '0.0607'; | 
| 10 |  |  |  |  |  |  |  | 
| 11 | 1 |  |  | 1 |  | 568 | use MIDI::Simple (); | 
|  | 1 |  |  |  |  | 17632 |  | 
|  | 1 |  |  |  |  | 23 |  | 
| 12 |  |  |  |  |  |  |  | 
| 13 | 1 |  |  | 1 |  | 6 | use Exporter 'import'; | 
|  | 1 |  |  |  |  | 2 |  | 
|  | 1 |  |  |  |  | 1000 |  | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | our @EXPORT = qw( | 
| 16 |  |  |  |  |  |  | augmentation | 
| 17 |  |  |  |  |  |  | diminution | 
| 18 |  |  |  |  |  |  | dur | 
| 19 |  |  |  |  |  |  | inversion | 
| 20 |  |  |  |  |  |  | note_name_to_number | 
| 21 |  |  |  |  |  |  | note2num | 
| 22 |  |  |  |  |  |  | ntup | 
| 23 |  |  |  |  |  |  | original | 
| 24 |  |  |  |  |  |  | notes2nums | 
| 25 |  |  |  |  |  |  | raugmentation | 
| 26 |  |  |  |  |  |  | rdiminution | 
| 27 |  |  |  |  |  |  | retrograde | 
| 28 |  |  |  |  |  |  | retrograde_inversion | 
| 29 |  |  |  |  |  |  | transposition | 
| 30 |  |  |  |  |  |  | tye | 
| 31 |  |  |  |  |  |  | tie_durations | 
| 32 |  |  |  |  |  |  | ); | 
| 33 |  |  |  |  |  |  | our %EXPORT_TAGS = (all => [qw( | 
| 34 |  |  |  |  |  |  | augmentation | 
| 35 |  |  |  |  |  |  | diminution | 
| 36 |  |  |  |  |  |  | dur | 
| 37 |  |  |  |  |  |  | inversion | 
| 38 |  |  |  |  |  |  | note_name_to_number | 
| 39 |  |  |  |  |  |  | note2num | 
| 40 |  |  |  |  |  |  | ntup | 
| 41 |  |  |  |  |  |  | original | 
| 42 |  |  |  |  |  |  | notes2nums | 
| 43 |  |  |  |  |  |  | raugmentation | 
| 44 |  |  |  |  |  |  | rdiminution | 
| 45 |  |  |  |  |  |  | retrograde | 
| 46 |  |  |  |  |  |  | retrograde_inversion | 
| 47 |  |  |  |  |  |  | transposition | 
| 48 |  |  |  |  |  |  | tye | 
| 49 |  |  |  |  |  |  | tie_durations | 
| 50 |  |  |  |  |  |  | )] ); | 
| 51 |  |  |  |  |  |  |  | 
| 52 |  |  |  |  |  |  |  | 
| 53 | 1 |  |  | 1 | 1 | 422 | sub note2num { note_name_to_number(@_) } | 
| 54 |  |  |  |  |  |  |  | 
| 55 |  |  |  |  |  |  | sub note_name_to_number { | 
| 56 | 52 |  |  | 52 | 1 | 1249 | my ($in) = @_; | 
| 57 |  |  |  |  |  |  |  | 
| 58 | 52 | 100 |  |  |  | 75 | return () unless $in; | 
| 59 |  |  |  |  |  |  |  | 
| 60 | 51 |  |  |  |  | 58 | my $note_number = -1; | 
| 61 |  |  |  |  |  |  |  | 
| 62 | 51 | 100 |  |  |  | 131 | if ($in =~ /^([A-Za-z]+)(\d+)/s) { | 
| 63 |  |  |  |  |  |  | $note_number = $MIDI::Simple::Note{$1} + $2 * 12 | 
| 64 | 50 | 50 |  |  |  | 134 | if exists $MIDI::Simple::Note{$1}; | 
| 65 |  |  |  |  |  |  | } | 
| 66 |  |  |  |  |  |  |  | 
| 67 | 51 |  |  |  |  | 81 | return $note_number; | 
| 68 |  |  |  |  |  |  | } | 
| 69 |  |  |  |  |  |  |  | 
| 70 |  |  |  |  |  |  |  | 
| 71 |  |  |  |  |  |  |  | 
| 72 | 1 |  |  | 1 | 1 | 437 | sub notes2nums { original(@_) } | 
| 73 |  |  |  |  |  |  |  | 
| 74 |  |  |  |  |  |  | sub original { | 
| 75 | 13 |  |  | 13 | 1 | 883 | my @notes = @_; | 
| 76 |  |  |  |  |  |  |  | 
| 77 | 13 | 100 |  |  |  | 21 | return () unless @notes; | 
| 78 |  |  |  |  |  |  |  | 
| 79 | 12 |  |  |  |  | 21 | my @ret = map { note_name_to_number($_) } @notes; | 
|  | 36 |  |  |  |  | 50 |  | 
| 80 |  |  |  |  |  |  |  | 
| 81 | 12 |  |  |  |  | 27 | return @ret; | 
| 82 |  |  |  |  |  |  | } | 
| 83 |  |  |  |  |  |  |  | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  |  | 
| 86 |  |  |  |  |  |  | sub retrograde { | 
| 87 | 2 |  |  | 2 | 1 | 855 | my @notes =  @_; | 
| 88 |  |  |  |  |  |  |  | 
| 89 | 2 |  |  |  |  | 5 | my @ret = (); | 
| 90 |  |  |  |  |  |  |  | 
| 91 | 2 | 100 |  |  |  | 6 | return () unless @notes; | 
| 92 |  |  |  |  |  |  |  | 
| 93 | 1 |  |  |  |  | 4 | @ret = reverse original(@notes); | 
| 94 |  |  |  |  |  |  |  | 
| 95 | 1 |  |  |  |  | 4 | return @ret; | 
| 96 |  |  |  |  |  |  | } | 
| 97 |  |  |  |  |  |  |  | 
| 98 |  |  |  |  |  |  |  | 
| 99 |  |  |  |  |  |  |  | 
| 100 |  |  |  |  |  |  | sub transposition { | 
| 101 | 10 |  |  | 10 | 1 | 1714 | my ($delta, @notes) = @_; | 
| 102 |  |  |  |  |  |  |  | 
| 103 | 10 | 100 | 66 |  |  | 33 | return () unless defined $delta && @notes; | 
| 104 |  |  |  |  |  |  |  | 
| 105 | 9 |  |  |  |  | 12 | my @ret = (); | 
| 106 |  |  |  |  |  |  |  | 
| 107 | 9 | 50 |  |  |  | 27 | if ($notes[0] =~ /[A-G]/) { | 
| 108 | 9 |  |  |  |  | 17 | @ret = original(@notes); | 
| 109 |  |  |  |  |  |  | } | 
| 110 |  |  |  |  |  |  | else { | 
| 111 | 0 |  |  |  |  | 0 | @ret = @notes; | 
| 112 |  |  |  |  |  |  | } | 
| 113 |  |  |  |  |  |  |  | 
| 114 | 9 |  |  |  |  | 13 | for (@ret) { | 
| 115 | 27 |  |  |  |  | 35 | $_ += $delta; | 
| 116 |  |  |  |  |  |  | } | 
| 117 |  |  |  |  |  |  |  | 
| 118 | 9 |  |  |  |  | 17 | return @ret; | 
| 119 |  |  |  |  |  |  | } | 
| 120 |  |  |  |  |  |  |  | 
| 121 |  |  |  |  |  |  |  | 
| 122 |  |  |  |  |  |  |  | 
| 123 |  |  |  |  |  |  | sub inversion { | 
| 124 | 7 |  |  | 7 | 1 | 1696 | my ($axis, @notes) = @_; | 
| 125 |  |  |  |  |  |  |  | 
| 126 | 7 | 100 | 66 |  |  | 26 | return () unless $axis && @notes; | 
| 127 |  |  |  |  |  |  |  | 
| 128 | 6 |  |  |  |  | 13 | my $center = note_name_to_number($axis); | 
| 129 | 6 |  |  |  |  | 10 | my $first  = note_name_to_number($notes[0]); | 
| 130 | 6 |  |  |  |  | 10 | my $delta  = $center - $first; | 
| 131 |  |  |  |  |  |  |  | 
| 132 | 6 |  |  |  |  | 18 | my @transposed = transposition($delta, @notes); | 
| 133 |  |  |  |  |  |  |  | 
| 134 |  |  |  |  |  |  | # XXX WTF? | 
| 135 | 6 |  |  |  |  | 8 | my @ret = map { 2 * $center - $_ } @transposed; | 
|  | 18 |  |  |  |  | 25 |  | 
| 136 |  |  |  |  |  |  |  | 
| 137 | 6 |  |  |  |  | 14 | return @ret; | 
| 138 |  |  |  |  |  |  | } | 
| 139 |  |  |  |  |  |  |  | 
| 140 |  |  |  |  |  |  |  | 
| 141 |  |  |  |  |  |  |  | 
| 142 |  |  |  |  |  |  | sub retrograde_inversion { | 
| 143 | 4 |  |  | 4 | 1 | 1714 | my ($axis, @notes) = @_; | 
| 144 |  |  |  |  |  |  |  | 
| 145 | 4 | 100 | 66 |  |  | 21 | return () unless $axis && @notes; | 
| 146 |  |  |  |  |  |  |  | 
| 147 | 3 |  |  |  |  | 6 | my @rev_notes = (); | 
| 148 | 3 |  |  |  |  | 4 | my @ret = (); | 
| 149 |  |  |  |  |  |  |  | 
| 150 | 3 |  |  |  |  | 5 | @rev_notes = reverse @notes; | 
| 151 |  |  |  |  |  |  |  | 
| 152 | 3 |  |  |  |  | 7 | @ret = inversion($axis, @rev_notes); | 
| 153 |  |  |  |  |  |  |  | 
| 154 | 3 |  |  |  |  | 7 | return @ret; | 
| 155 |  |  |  |  |  |  | } | 
| 156 |  |  |  |  |  |  |  | 
| 157 |  |  |  |  |  |  |  | 
| 158 |  |  |  |  |  |  |  | 
| 159 |  |  |  |  |  |  | sub dur { | 
| 160 | 24 |  |  | 24 | 1 | 1228 | my ($tempo, $arg) = (MIDI::Simple::Tempo, @_); | 
| 161 |  |  |  |  |  |  |  | 
| 162 | 24 | 100 |  |  |  | 357 | return () unless $arg; | 
| 163 |  |  |  |  |  |  |  | 
| 164 | 23 |  |  |  |  | 27 | my $dur = 0; | 
| 165 |  |  |  |  |  |  |  | 
| 166 | 23 | 100 |  |  |  | 74 | if ($arg =~ /^d(\d+)$/) { | 
|  |  | 50 |  |  |  |  |  | 
| 167 | 3 |  |  |  |  | 8 | $dur = 0 + $1; | 
| 168 |  |  |  |  |  |  | } | 
| 169 |  |  |  |  |  |  | elsif (exists $MIDI::Simple::Length{$arg}) {   # length spec | 
| 170 | 20 |  |  |  |  | 29 | $dur = 0 + ($tempo * $MIDI::Simple::Length{$arg}); | 
| 171 |  |  |  |  |  |  | } | 
| 172 |  |  |  |  |  |  |  | 
| 173 | 23 |  |  |  |  | 49 | return $dur; | 
| 174 |  |  |  |  |  |  | } | 
| 175 |  |  |  |  |  |  |  | 
| 176 |  |  |  |  |  |  |  | 
| 177 |  |  |  |  |  |  |  | 
| 178 | 1 |  |  | 1 | 1 | 458 | sub tie_durations { tye(@_) } | 
| 179 |  |  |  |  |  |  |  | 
| 180 |  |  |  |  |  |  | sub tye { | 
| 181 | 4 |  |  | 4 | 1 | 1178 | my @dur_or_len = @_; | 
| 182 |  |  |  |  |  |  |  | 
| 183 | 4 | 100 |  |  |  | 12 | return () unless @dur_or_len; | 
| 184 |  |  |  |  |  |  |  | 
| 185 | 3 |  |  |  |  | 4 | my $sum = 0; | 
| 186 |  |  |  |  |  |  |  | 
| 187 | 3 |  |  |  |  | 5 | for my $dura (@dur_or_len) { | 
| 188 | 5 |  |  |  |  | 9 | $sum += dur($dura); | 
| 189 |  |  |  |  |  |  | } | 
| 190 |  |  |  |  |  |  |  | 
| 191 | 3 |  |  |  |  | 7 | return $sum; | 
| 192 |  |  |  |  |  |  | } | 
| 193 |  |  |  |  |  |  |  | 
| 194 |  |  |  |  |  |  |  | 
| 195 |  |  |  |  |  |  |  | 
| 196 |  |  |  |  |  |  | sub raugmentation { | 
| 197 | 9 |  |  | 9 | 1 | 2295 | my ($ratio, @dur_or_len) = @_; | 
| 198 |  |  |  |  |  |  |  | 
| 199 | 9 | 100 | 100 |  |  | 46 | return () unless $ratio && 1 < $ratio && @dur_or_len; | 
|  |  |  | 66 |  |  |  |  | 
| 200 |  |  |  |  |  |  |  | 
| 201 | 7 |  |  |  |  | 9 | my $sum = 0; | 
| 202 |  |  |  |  |  |  |  | 
| 203 | 7 |  |  |  |  | 11 | for my $dura (@dur_or_len) { | 
| 204 | 8 |  |  |  |  | 13 | $sum += dur($dura) * $ratio; | 
| 205 |  |  |  |  |  |  | } | 
| 206 |  |  |  |  |  |  |  | 
| 207 | 7 |  |  |  |  | 12 | return $sum; | 
| 208 |  |  |  |  |  |  | } | 
| 209 |  |  |  |  |  |  |  | 
| 210 |  |  |  |  |  |  |  | 
| 211 |  |  |  |  |  |  |  | 
| 212 |  |  |  |  |  |  | sub rdiminution { | 
| 213 | 9 |  |  | 9 | 1 | 2318 | my ($ratio, @dur_or_len) = @_; | 
| 214 |  |  |  |  |  |  |  | 
| 215 | 9 | 100 | 100 |  |  | 43 | return () unless $ratio && 1 < $ratio && @dur_or_len; | 
|  |  |  | 66 |  |  |  |  | 
| 216 |  |  |  |  |  |  |  | 
| 217 | 7 |  |  |  |  | 15 | my $sum = 0; | 
| 218 |  |  |  |  |  |  |  | 
| 219 | 7 |  |  |  |  | 7 | for my $dura (@dur_or_len) { | 
| 220 | 8 |  |  |  |  | 17 | $sum += dur($dura) / $ratio; | 
| 221 |  |  |  |  |  |  | } | 
| 222 |  |  |  |  |  |  |  | 
| 223 | 7 |  |  |  |  | 24 | return sprintf '%.0f', $sum; | 
| 224 |  |  |  |  |  |  | } | 
| 225 |  |  |  |  |  |  |  | 
| 226 |  |  |  |  |  |  |  | 
| 227 |  |  |  |  |  |  |  | 
| 228 |  |  |  |  |  |  | sub augmentation { | 
| 229 | 3 |  |  | 3 | 1 | 1124 | my @dur_or_len = @_; | 
| 230 |  |  |  |  |  |  |  | 
| 231 | 3 | 100 |  |  |  | 10 | return () unless @dur_or_len; | 
| 232 |  |  |  |  |  |  |  | 
| 233 | 2 |  |  |  |  | 4 | my @ret = (); | 
| 234 |  |  |  |  |  |  |  | 
| 235 | 2 |  |  |  |  | 12 | for my $dura (@dur_or_len) { | 
| 236 | 3 |  |  |  |  | 6 | my $elem = 'd'; | 
| 237 | 3 |  |  |  |  | 7 | $elem .= raugmentation(2, $dura); | 
| 238 | 3 |  |  |  |  | 7 | push @ret, $elem; | 
| 239 |  |  |  |  |  |  | } | 
| 240 |  |  |  |  |  |  |  | 
| 241 | 2 |  |  |  |  | 7 | return @ret; | 
| 242 |  |  |  |  |  |  | } | 
| 243 |  |  |  |  |  |  |  | 
| 244 |  |  |  |  |  |  |  | 
| 245 |  |  |  |  |  |  |  | 
| 246 |  |  |  |  |  |  | sub diminution { | 
| 247 | 3 |  |  | 3 | 1 | 1326 | my @dur_or_len = @_; | 
| 248 |  |  |  |  |  |  |  | 
| 249 | 3 | 100 |  |  |  | 9 | return () unless @dur_or_len; | 
| 250 |  |  |  |  |  |  |  | 
| 251 | 2 |  |  |  |  | 5 | my @ret = (); | 
| 252 |  |  |  |  |  |  |  | 
| 253 | 2 |  |  |  |  | 3 | for my $dura (@dur_or_len) { | 
| 254 | 3 |  |  |  |  | 5 | my $elem = 'd'; | 
| 255 | 3 |  |  |  |  | 5 | $elem .= rdiminution(2, $dura); | 
| 256 | 3 |  |  |  |  | 6 | push @ret, $elem; | 
| 257 |  |  |  |  |  |  | } | 
| 258 |  |  |  |  |  |  |  | 
| 259 | 2 |  |  |  |  | 6 | return @ret; | 
| 260 |  |  |  |  |  |  | } | 
| 261 |  |  |  |  |  |  |  | 
| 262 |  |  |  |  |  |  |  | 
| 263 |  |  |  |  |  |  |  | 
| 264 |  |  |  |  |  |  | sub ntup { | 
| 265 | 5 |  |  | 5 | 1 | 2062 | my ($n, @notes) = @_; | 
| 266 |  |  |  |  |  |  |  | 
| 267 | 5 | 100 | 66 |  |  | 23 | return () unless defined $n && @notes; | 
| 268 |  |  |  |  |  |  |  | 
| 269 | 4 |  |  |  |  | 7 | my @ret = (); | 
| 270 |  |  |  |  |  |  |  | 
| 271 | 4 | 100 |  |  |  | 8 | if (@notes >= $n) { | 
| 272 | 3 |  |  |  |  | 8 | for my $index (0 .. @notes - $n) { | 
| 273 | 7 |  |  |  |  | 15 | push @ret, @notes[$index .. $index + $n - 1]; | 
| 274 |  |  |  |  |  |  | } | 
| 275 |  |  |  |  |  |  | } | 
| 276 |  |  |  |  |  |  |  | 
| 277 | 4 |  |  |  |  | 12 | return @ret; | 
| 278 |  |  |  |  |  |  | } | 
| 279 |  |  |  |  |  |  |  | 
| 280 |  |  |  |  |  |  |  | 
| 281 |  |  |  |  |  |  | 1; | 
| 282 |  |  |  |  |  |  |  | 
| 283 |  |  |  |  |  |  | __END__ |