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package Music::ModalFunction; |
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our $AUTHORITY = 'cpan:GENE'; |
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4
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# ABSTRACT: Query for modal and scalar musical functions |
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5
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6
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our $VERSION = '0.0504'; |
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7
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8
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2
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2
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686701
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use strictures 2; |
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2
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4137
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2
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90
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9
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2
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2
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2360
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use AI::Prolog (); |
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2
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736196
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2
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87
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10
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2
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2
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19
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use Carp qw(croak); |
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2
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10
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2
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145
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11
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2
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2
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1085
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use MIDI::Util qw(midi_format); |
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2
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57530
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2
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145
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12
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2
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2
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937
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use Moo; |
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2
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13153
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2
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8
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13
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2
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2
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4304
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use Music::Note (); |
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2
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3979
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2
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70
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14
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2
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2
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1091
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use Music::Scales qw(get_scale_notes); |
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2
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11022
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2
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196
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15
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2
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2
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1113
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use namespace::clean; |
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2
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34049
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2
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22
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16
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17
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18
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has [qw(chord_note chord mode_note mode mode_function mode_roman key_note key key_function key_roman)] => ( |
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19
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is => 'ro', |
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20
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); |
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21
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22
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has [qw(verbose use_scales hash_results)] => ( |
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23
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is => 'ro', |
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24
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isa => sub { croak "$_[0] is not a boolean" unless $_[0] =~ /^[01]$/ }, |
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default => sub { 0 }, |
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26
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); |
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27
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28
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has _chord_key => ( |
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29
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is => 'ro', |
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30
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default => sub { [qw(method chord_note chord key_note key key_function key_roman)] }, |
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31
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); |
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32
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33
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has _pivot_chord_keys => ( |
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34
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is => 'ro', |
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35
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default => sub { [qw(method chord_note chord mode_note mode mode_function mode_roman key_note key key_function key_roman)] }, |
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36
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); |
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37
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38
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has _roman_key => ( |
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39
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is => 'ro', |
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40
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default => sub { [qw(method mode mode_roman key key_roman)] }, |
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41
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); |
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42
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43
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has [qw(_modes _scales _database _prolog)] => ( |
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44
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is => 'lazy', |
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45
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); |
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46
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47
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sub _build__modes { |
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48
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return { |
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49
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10
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10
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7593
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ionian => [ |
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50
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{ chord => 'maj', roman => 'r_I', function => 'tonic' }, |
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51
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{ chord => 'min', roman => 'r_ii', function => 'supertonic' }, |
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52
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{ chord => 'min', roman => 'r_iii', function => 'mediant' }, |
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53
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{ chord => 'maj', roman => 'r_IV', function => 'subdominant' }, |
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54
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{ chord => 'maj', roman => 'r_V', function => 'dominant' }, |
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55
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{ chord => 'min', roman => 'r_vi', function => 'submediant' }, |
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56
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{ chord => 'dim', roman => 'r_vii', function => 'leading_tone' }, |
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57
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], |
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58
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dorian => [ |
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59
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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60
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{ chord => 'min', roman => 'r_ii', function => 'supertonic' }, |
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61
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{ chord => 'maj', roman => 'r_III', function => 'mediant' }, |
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62
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{ chord => 'maj', roman => 'r_IV', function => 'subdominant' }, |
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63
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{ chord => 'min', roman => 'r_v', function => 'dominant' }, |
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64
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{ chord => 'dim', roman => 'r_vi', function => 'submediant' }, |
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65
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{ chord => 'maj', roman => 'r_VII', function => 'subtonic' }, |
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66
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], |
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67
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phrygian => [ |
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68
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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69
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{ chord => 'maj', roman => 'r_II', function => 'supertonic' }, |
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70
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{ chord => 'maj', roman => 'r_III', function => 'mediant' }, |
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71
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{ chord => 'min', roman => 'r_iv', function => 'subdominant' }, |
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72
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{ chord => 'dim', roman => 'r_v', function => 'dominant' }, |
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73
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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74
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{ chord => 'min', roman => 'r_vii', function => 'subtonic' }, |
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75
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], |
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76
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lydian => [ |
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77
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{ chord => 'maj', roman => 'r_I', function => 'tonic' }, |
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78
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{ chord => 'maj', roman => 'r_II', function => 'supertonic' }, |
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79
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{ chord => 'min', roman => 'r_iii', function => 'mediant' }, |
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80
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{ chord => 'dim', roman => 'r_iv', function => 'subdominant' }, |
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81
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{ chord => 'maj', roman => 'r_V', function => 'dominant' }, |
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82
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{ chord => 'min', roman => 'r_vi', function => 'submediant' }, |
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83
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{ chord => 'min', roman => 'r_vii', function => 'leading_tone' }, |
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84
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], |
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85
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mixolydian => [ |
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86
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{ chord => 'maj', roman => 'r_I', function => 'tonic' }, |
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87
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{ chord => 'min', roman => 'r_ii', function => 'supertonic' }, |
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88
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{ chord => 'dim', roman => 'r_iii', function => 'mediant' }, |
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89
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{ chord => 'maj', roman => 'r_IV', function => 'subdominant' }, |
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90
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{ chord => 'min', roman => 'r_v', function => 'dominant' }, |
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91
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{ chord => 'min', roman => 'r_vi', function => 'submediant' }, |
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92
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{ chord => 'maj', roman => 'r_VII', function => 'subtonic' }, |
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93
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], |
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94
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aeolian => [ |
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95
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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96
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{ chord => 'dim', roman => 'r_ii', function => 'supertonic' }, |
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97
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{ chord => 'maj', roman => 'r_III', function => 'mediant' }, |
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98
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{ chord => 'min', roman => 'r_iv', function => 'subdominant' }, |
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99
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{ chord => 'min', roman => 'r_v', function => 'dominant' }, |
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100
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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101
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{ chord => 'maj', roman => 'r_VII', function => 'subtonic' }, |
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102
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], |
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103
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locrian => [ |
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104
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{ chord => 'dim', roman => 'r_i', function => 'parallel_minor' }, |
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105
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{ chord => 'maj', roman => 'r_II', function => 'supertonic' }, |
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106
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{ chord => 'min', roman => 'r_iii', function => 'mediant' }, |
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107
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{ chord => 'min', roman => 'r_iv', function => 'subdominant' }, |
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108
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{ chord => 'maj', roman => 'r_V', function => 'dominant' }, |
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109
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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110
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{ chord => 'min', roman => 'r_vii', function => 'subtonic' }, |
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111
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], |
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112
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} |
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113
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} |
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114
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115
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sub _build__scales { |
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116
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return { |
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117
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10
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10
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1012
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harmonic_minor => [ |
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118
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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119
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{ chord => 'dim', roman => 'r_ii', function => 'supertonic' }, |
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120
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{ chord => 'aug', roman => 'r_III', function => 'mediant' }, |
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121
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{ chord => 'min', roman => 'r_iv', function => 'subdominant' }, |
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122
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{ chord => 'maj', roman => 'r_V', function => 'dominant' }, |
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123
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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124
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{ chord => 'dim', roman => 'r_vii', function => 'subtonic' }, |
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125
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], |
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126
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melodic_minor => [ |
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127
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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128
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{ chord => 'min', roman => 'r_ii', function => 'supertonic' }, |
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129
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{ chord => 'aug', roman => 'r_III', function => 'mediant' }, |
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130
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{ chord => 'maj', roman => 'r_IV', function => 'subdominant' }, |
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131
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{ chord => 'maj', roman => 'r_V', function => 'dominant' }, |
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132
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{ chord => 'dim', roman => 'r_vi', function => 'submediant' }, |
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133
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{ chord => 'dim', roman => 'r_vii', function => 'subtonic' }, |
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134
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], |
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135
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pentatonic => [ |
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136
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{ chord => 'maj', roman => 'r_I', function => 'tonic' }, |
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137
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{ chord => 'min', roman => 'r_ii', function => 'supertonic' }, |
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138
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{ chord => 'min', roman => 'r_iii', function => 'mediant' }, |
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139
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{ chord => 'maj', roman => 'r_IV', function => 'subdominant' }, |
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140
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{ chord => 'min', roman => 'r_vi', function => 'submediant' }, |
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141
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], |
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142
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pentatonic_minor => [ |
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143
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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144
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{ chord => 'dim', roman => 'r_ii', function => 'supertonic' }, |
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145
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{ chord => 'min', roman => 'r_iv', function => 'subdominant' }, |
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146
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{ chord => 'min', roman => 'r_v', function => 'dominant' }, |
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147
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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148
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], |
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149
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blues => [ |
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150
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{ chord => 'min', roman => 'r_i', function => 'parallel_minor' }, |
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151
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{ chord => 'maj', roman => 'r_III', function => 'supertonic' }, |
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152
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{ chord => 'sus4', roman => 'r_IV', function => 'subdominant' }, |
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153
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{ chord => 'maj', roman => 'r_bV', function => 'flat5' }, |
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154
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{ chord => 'min', roman => 'r_v', function => 'dominant' }, |
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155
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{ chord => 'sus4', roman => 'r_VII', function => 'leading_tone' }, |
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156
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], |
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157
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diminished => [ |
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158
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{ chord => 'maj', roman => 'r_I', function => 'tonic' }, |
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159
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{ chord => 'dim', roman => 'r_bii', function => 'flat2' }, |
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160
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{ chord => 'maj', roman => 'r_bIII', function => 'flat3' }, |
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161
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{ chord => 'dim', roman => 'r_iii', function => 'mediant' }, |
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162
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{ chord => 'maj', roman => 'r_bV', function => 'flat5' }, |
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163
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{ chord => 'dim', roman => 'r_v', function => 'dominant' }, |
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164
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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165
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{ chord => 'dim', roman => 'r_vii', function => 'leading_tone' }, |
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166
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], |
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167
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augmented => [ |
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168
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{ chord => 'aug', roman => 'r_I', function => 'tonic' }, |
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169
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{ chord => 'aug', roman => 'r_bIII', function => 'flat3' }, |
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170
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{ chord => 'maj', roman => 'r_III', function => 'mediant' }, |
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171
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{ chord => 'maj', roman => 'r_V', function => 'dominant' }, |
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172
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{ chord => 'maj', roman => 'r_VI', function => 'submediant' }, |
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173
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{ chord => 'aug', roman => 'r_VII', function => 'leading_tone' }, |
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174
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], |
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175
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} |
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176
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} |
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177
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178
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sub _build__database { |
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179
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19
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19
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267
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my ($self) = @_; |
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180
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181
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# consider every note |
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182
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19
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160
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my @chromatic = get_scale_notes('c', 'chromatic', 0, 'b'); |
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183
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19
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4208
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my $database = ''; |
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184
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185
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19
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100
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763
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my $list = $self->use_scales ? $self->_scales : $self->_modes; |
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186
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187
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# build a prolog fact for each base note |
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188
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19
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105
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for my $base (@chromatic) { |
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189
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228
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1061
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my ($mode_base) = map { lc } midi_format($base); |
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228
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8654
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190
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191
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# consider each mode or scale properties |
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192
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228
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1671
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for my $item (sort keys %$list) { |
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193
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# get the notes of the base note mode or scale |
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194
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1596
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5709
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my @notes = get_scale_notes($base, $item); |
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195
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# warn "Basics: $base $item [@notes]\n" if $self->verbose; |
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196
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197
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1596
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354563
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my @pitches; # notes suitable for the prolog database |
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198
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199
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# convert the notes to flatted, lower-case |
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200
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1596
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3621
|
for my $note (@notes) { |
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201
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10632
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33452
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my $n = Music::Note->new($note, 'isobase'); |
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202
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10632
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100
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378155
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$n->en_eq('flat') if $note =~ /#/; |
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203
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10632
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61297
|
push @pitches, map { lc } midi_format($n->format('isobase')); |
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10632
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581303
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204
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} |
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205
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206
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1596
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3033
|
my $i = 0; # increment |
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207
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208
|
1596
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3461
|
for my $pitch (@pitches) { |
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209
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|
|
# get the properties of the given mode or scale |
|
210
|
10632
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|
16924
|
my ($chord, $function, $roman); |
|
211
|
10632
|
100
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|
30031
|
if ($self->use_scales) { |
|
212
|
4752
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|
101599
|
$chord = $self->_scales->{$item}[$i]{chord}; |
|
213
|
4752
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|
116909
|
$function = $self->_scales->{$item}[$i]{function}; |
|
214
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4752
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|
112874
|
$roman = $self->_scales->{$item}[$i]{roman}; |
|
215
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} |
|
216
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else { |
|
217
|
5880
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|
139942
|
$chord = $self->_modes->{$item}[$i]{chord}; |
|
218
|
5880
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|
153728
|
$function = $self->_modes->{$item}[$i]{function}; |
|
219
|
5880
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|
144153
|
$roman = $self->_modes->{$item}[$i]{roman}; |
|
220
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|
} |
|
221
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|
222
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|
# append to the database of facts |
|
223
|
10632
|
50
|
33
|
|
|
116481
|
$database .= "chord_key($pitch, $chord, $mode_base, $item, $function, $roman).\n" |
|
|
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|
33
|
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|
224
|
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|
|
if $chord && $function && $roman; |
|
225
|
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|
226
|
10632
|
|
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|
27023
|
$i++; |
|
227
|
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|
|
} |
|
228
|
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|
|
} |
|
229
|
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|
|
} |
|
230
|
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|
|
|
# append the prolog rules |
|
231
|
19
|
|
|
|
|
74
|
$database .= <<'RULES'; |
|
232
|
|
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|
|
|
|
pivot_chord_keys(ChordNote, Chord, Key1Note, Key1, Key1Function, Key1Roman, Key2Note, Key2, Key2Function, Key2Roman) :- |
|
233
|
|
|
|
|
|
|
% bind the chord to the function of the first key |
|
234
|
|
|
|
|
|
|
chord_key(ChordNote, Chord, Key1Note, Key1, Key1Function, Key1Roman), |
|
235
|
|
|
|
|
|
|
% bind the chord to the function of the second key |
|
236
|
|
|
|
|
|
|
chord_key(ChordNote, Chord, Key2Note, Key2, Key2Function, Key2Roman), |
|
237
|
|
|
|
|
|
|
% the functions cannot be the same |
|
238
|
|
|
|
|
|
|
Key1Function \= Key2Function. |
|
239
|
|
|
|
|
|
|
|
|
240
|
|
|
|
|
|
|
roman_key(Mode, ModeRoman, Key, KeyRoman) :- |
|
241
|
|
|
|
|
|
|
chord_key(_, _, _, Mode, ModeFunction, ModeRoman), |
|
242
|
|
|
|
|
|
|
chord_key(_, _, _, Key, KeyFunction, KeyRoman), |
|
243
|
|
|
|
|
|
|
ModeFunction \= KeyFunction. |
|
244
|
|
|
|
|
|
|
RULES |
|
245
|
|
|
|
|
|
|
# warn "Database: $database\n" if $self->verbose; |
|
246
|
|
|
|
|
|
|
|
|
247
|
19
|
|
|
|
|
14591
|
return $database; |
|
248
|
|
|
|
|
|
|
} |
|
249
|
|
|
|
|
|
|
|
|
250
|
|
|
|
|
|
|
sub _build__prolog { |
|
251
|
18
|
|
|
18
|
|
288
|
my ($self) = @_; |
|
252
|
18
|
|
|
|
|
540
|
return AI::Prolog->new($self->_database); |
|
253
|
|
|
|
|
|
|
} |
|
254
|
|
|
|
|
|
|
|
|
255
|
|
|
|
|
|
|
|
|
256
|
|
|
|
|
|
|
sub chord_key { |
|
257
|
6
|
|
|
6
|
1
|
31188
|
my ($self) = @_; |
|
258
|
6
|
50
|
|
|
|
186
|
my $query = sprintf 'chord_key(%s, %s, %s, %s, %s, %s).', |
|
|
|
50
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
259
|
|
|
|
|
|
|
defined $self->chord_note ? $self->chord_note : 'ChordNote', |
|
260
|
|
|
|
|
|
|
defined $self->chord ? $self->chord : 'Chord', |
|
261
|
|
|
|
|
|
|
defined $self->key_note ? $self->key_note : 'KeyNote', |
|
262
|
|
|
|
|
|
|
defined $self->key ? $self->key : 'Key', |
|
263
|
|
|
|
|
|
|
defined $self->key_function ? $self->key_function : 'KeyFunction', |
|
264
|
|
|
|
|
|
|
defined $self->key_roman ? $self->key_roman : 'KeyRoman'; |
|
265
|
6
|
|
|
|
|
32
|
return $self->_querydb('chord_key', $query); |
|
266
|
|
|
|
|
|
|
} |
|
267
|
|
|
|
|
|
|
|
|
268
|
|
|
|
|
|
|
|
|
269
|
|
|
|
|
|
|
sub pivot_chord_keys { |
|
270
|
11
|
|
|
11
|
1
|
76035
|
my ($self) = @_; |
|
271
|
11
|
100
|
|
|
|
850
|
my $query = sprintf 'pivot_chord_keys(%s, %s, %s, %s, %s, %s, %s, %s, %s, %s).', |
|
|
|
100
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
|
|
100
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
272
|
|
|
|
|
|
|
defined $self->chord_note ? $self->chord_note : 'ChordNote', |
|
273
|
|
|
|
|
|
|
defined $self->chord ? $self->chord : 'Chord', |
|
274
|
|
|
|
|
|
|
defined $self->mode_note ? $self->mode_note : 'ModeNote', |
|
275
|
|
|
|
|
|
|
defined $self->mode ? $self->mode : 'Mode', |
|
276
|
|
|
|
|
|
|
defined $self->mode_function ? $self->mode_function : 'ModeFunction', |
|
277
|
|
|
|
|
|
|
defined $self->mode_roman ? $self->mode_roman : 'ModeRoman', |
|
278
|
|
|
|
|
|
|
defined $self->key_note ? $self->key_note : 'KeyNote', |
|
279
|
|
|
|
|
|
|
defined $self->key ? $self->key : 'Key', |
|
280
|
|
|
|
|
|
|
defined $self->key_function ? $self->key_function : 'KeyFunction', |
|
281
|
|
|
|
|
|
|
defined $self->key_roman ? $self->key_roman : 'KeyRoman'; |
|
282
|
11
|
|
|
|
|
72
|
return $self->_querydb('pivot_chord_keys', $query); |
|
283
|
|
|
|
|
|
|
} |
|
284
|
|
|
|
|
|
|
|
|
285
|
|
|
|
|
|
|
|
|
286
|
|
|
|
|
|
|
sub roman_key { |
|
287
|
1
|
|
|
1
|
1
|
683
|
my ($self) = @_; |
|
288
|
1
|
50
|
|
|
|
48
|
my $query = sprintf 'roman_key(%s, %s, %s, %s).', |
|
|
|
50
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
|
|
50
|
|
|
|
|
|
|
289
|
|
|
|
|
|
|
defined $self->mode ? $self->mode : 'Mode', |
|
290
|
|
|
|
|
|
|
defined $self->mode_roman ? $self->mode_roman : 'ModeRoman', |
|
291
|
|
|
|
|
|
|
defined $self->key ? $self->key : 'Key', |
|
292
|
|
|
|
|
|
|
defined $self->key_roman ? $self->key_roman : 'KeyRoman'; |
|
293
|
1
|
|
|
|
|
15
|
return $self->_querydb('roman_key', $query); |
|
294
|
|
|
|
|
|
|
} |
|
295
|
|
|
|
|
|
|
|
|
296
|
|
|
|
|
|
|
sub _querydb { |
|
297
|
18
|
|
|
18
|
|
68
|
my ($self, $method, $query) = @_; |
|
298
|
|
|
|
|
|
|
|
|
299
|
18
|
50
|
|
|
|
109
|
warn "$method query: $query\n" if $self->verbose; |
|
300
|
|
|
|
|
|
|
|
|
301
|
18
|
|
|
|
|
3016
|
$self->_prolog->query($query); |
|
302
|
|
|
|
|
|
|
|
|
303
|
18
|
|
|
|
|
46158226
|
my $attr = '_' . $method; |
|
304
|
|
|
|
|
|
|
|
|
305
|
18
|
|
|
|
|
69
|
my @return; |
|
306
|
|
|
|
|
|
|
|
|
307
|
18
|
|
|
|
|
1099
|
while (my $result = $self->_prolog->results) { |
|
308
|
|
|
|
|
|
|
#warn __PACKAGE__,' L',__LINE__,' ',,"R: @$result\n"; |
|
309
|
181
|
100
|
|
|
|
9219904
|
if ($self->hash_results) { |
|
310
|
17
|
|
|
|
|
49
|
my %result; |
|
311
|
17
|
|
|
|
|
55
|
@result{ @{ $self->$attr } } = @$result; |
|
|
17
|
|
|
|
|
299
|
|
|
312
|
17
|
|
|
|
|
1057
|
push @return, \%result; |
|
313
|
|
|
|
|
|
|
} |
|
314
|
|
|
|
|
|
|
else { |
|
315
|
164
|
|
|
|
|
8131
|
push @return, $result; |
|
316
|
|
|
|
|
|
|
} |
|
317
|
|
|
|
|
|
|
} |
|
318
|
|
|
|
|
|
|
|
|
319
|
18
|
|
|
|
|
4590366
|
return \@return; |
|
320
|
|
|
|
|
|
|
} |
|
321
|
|
|
|
|
|
|
|
|
322
|
|
|
|
|
|
|
1; |
|
323
|
|
|
|
|
|
|
|
|
324
|
|
|
|
|
|
|
__END__ |