in reply to Chord root
Richard Parncutt has got a bunch of 'C' code building on Prof. Terhardt's work, including a chord root program that examines progressions. This is the 'single chord' core of his version, which gives a level of ambiguity as well. I'm still playing with both this and the above...for single chords, the above may still be better  the nowinfamous 'Tristan' example comes out as G# (second = B)  both valid, (and I would possibly argue more for the G#m6 spelling than a C#9 ), but research continues  *one* of them will make it into Music::Chord, I'm sure :)
use List::Util qw(max sum);
use strict;
use warnings;
sub note2num {
my ($n,$m) = split(//,uc(shift()));
my %nums = qw(C 0 D 2 E 4 F 5 G 7 A 9 B 11);
my $num = $nums{$n};
$num++ if ($m eq 'S'  $m eq '#');
$num if ($m eq 'F'  $m eq 'B');
$num;
}
sub num2note {
my $num = int(shift()) % 12;
my %notes = (0,'C',1,'C#',2,'D',3,'D#',4,'E',5,'F',6,'F#',7,'G',8,
+'G#',9,'A',10,'A#',11,'B');
$notes{$num};
}
sub root {
my @chord = @_;
my @weights;
my @rootWeights = (10,0,1,0,3,0,0,5,0,0,2,0); # weights of rootsu
+pport intervals, similar to those in Parncutt (1988)
my @notes; $notes[$_] = 0 foreach (0..11);
$notes[note2num($_)] = 1 foreach (@chord);
foreach my $pc(0..11) {
$weights[$pc] = sum(map{$notes[($pc+$_)%12]*$rootWeights[$_]}
+(0..11));
}
my $ambig=sqrt(sum(@weights)/max(@weights));
my @final = map {num2note($_)} sort {$weights[$b] <=> $weights[$a]
+} (0..11);
($ambig,@final);
}
my ($ambiguity, @roots) = root('b','d#','f','g#');
foreach (1..int($ambiguity)) {
print "Root $_ = $roots[$_1]\n";
}
Cheers,
Ben,
