1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
|
#--
# This file is part of Sonic Pi: http://sonic-pi.net
# Full project source: https://github.com/samaaron/sonic-pi
# License: https://github.com/samaaron/sonic-pi/blob/master/LICENSE.md
#
# Copyright 2013, 2014, 2015, 2016 by Sam Aaron (http://sam.aaron.name).
# All rights reserved.
#
# Permission is granted for use, copying, modification, and
# distribution of modified versions of this work as long as this
# notice is included.
#++
require_relative 'wrappingarray'
module SonicPi
class Scale < WrappingArray
# Ported from Overtone: https://github.com/overtone/overtone/blob/master/src/overtone/music/pitch.clj
class InvalidScaleError < ArgumentError; end ;
class InvalidDegreeError < ArgumentError; end ;
SCALE = lambda{
ionian_sequence = [2, 2, 1, 2, 2, 2, 1]
hex_sequence = [2, 2, 1, 2, 2, 3]
pentatonic_sequence = [3, 2, 2, 3, 2]
{
diatonic: ionian_sequence,
ionian: ionian_sequence,
major: ionian_sequence,
dorian: ionian_sequence.rotate(1),
phrygian: ionian_sequence.rotate(2),
lydian: ionian_sequence.rotate(3),
mixolydian: ionian_sequence.rotate(4),
aeolian: ionian_sequence.rotate(5),
minor: ionian_sequence.rotate(5),
locrian: ionian_sequence.rotate(6),
hex_major6: hex_sequence,
hex_dorian: hex_sequence.rotate(1),
hex_phrygian: hex_sequence.rotate(2),
hex_major7: hex_sequence.rotate(3),
hex_sus: hex_sequence.rotate(4),
hex_aeolian: hex_sequence.rotate(5),
minor_pentatonic: pentatonic_sequence,
yu: pentatonic_sequence,
major_pentatonic: pentatonic_sequence.rotate(1),
gong: pentatonic_sequence.rotate(1),
egyptian: pentatonic_sequence.rotate(2),
shang: pentatonic_sequence.rotate(2),
jiao: pentatonic_sequence.rotate(3),
zhi: pentatonic_sequence.rotate(4),
ritusen: pentatonic_sequence.rotate(4),
whole_tone: [2, 2, 2, 2, 2, 2],
whole: [2, 2, 2, 2, 2, 2],
chromatic: [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
harmonic_minor: [2, 1, 2, 2, 1, 3, 1],
melodic_minor_asc: [2, 1, 2, 2, 2, 2, 1],
hungarian_minor: [2, 1, 3, 1, 1, 3, 1],
octatonic: [2, 1, 2, 1, 2, 1, 2, 1],
messiaen1: [2, 2, 2, 2, 2, 2],
messiaen2: [1, 2, 1, 2, 1, 2, 1, 2],
messiaen3: [2, 1, 1, 2, 1, 1, 2, 1, 1],
messiaen4: [1, 1, 3, 1, 1, 1, 3, 1],
messiaen5: [1, 4, 1, 1, 4, 1],
messiaen6: [2, 2, 1, 1, 2, 2, 1, 1],
messiaen7: [1, 1, 1, 2, 1, 1, 1, 1, 2, 1],
super_locrian: [1, 2, 1, 2, 2, 2, 2],
hirajoshi: [2, 1, 4, 1, 4],
kumoi: [2, 1, 4, 2, 3],
neapolitan_major: [1, 2, 2, 2, 2, 2, 1],
bartok: [2, 2, 1, 2, 1, 2, 2],
bhairav: [1, 3, 1, 2, 1, 3, 1],
locrian_major: [2, 2, 1, 1, 2, 2, 2],
ahirbhairav: [1, 3, 1, 2, 2, 1, 2],
enigmatic: [1, 3, 2, 2, 2, 1, 1],
neapolitan_minor: [1, 2, 2, 2, 1, 3, 1],
pelog: [1, 2, 4, 1, 4],
augmented2: [1, 3, 1, 3, 1, 3],
scriabin: [1, 3, 3, 2, 3],
harmonic_major: [2, 2, 1, 2, 1, 3, 1],
melodic_minor_desc: [2, 1, 2, 2, 1, 2, 2],
romanian_minor: [2, 1, 3, 1, 2, 1, 2],
hindu: [2, 2, 1, 2, 1, 2, 2],
iwato: [1, 4, 1, 4, 2],
melodic_minor: [2, 1, 2, 2, 2, 2, 1],
diminished2: [2, 1, 2, 1, 2, 1, 2, 1],
marva: [1, 3, 2, 1, 2, 2, 1],
melodic_major: [2, 2, 1, 2, 1, 2, 2],
indian: [4, 1, 2, 3, 2],
spanish: [1, 3, 1, 2, 1, 2, 2],
prometheus: [2, 2, 2, 5, 1],
diminished: [1, 2, 1, 2, 1, 2, 1, 2],
todi: [1, 2, 3, 1, 1, 3, 1],
leading_whole: [2, 2, 2, 2, 2, 1, 1],
augmented: [3, 1, 3, 1, 3, 1],
purvi: [1, 3, 2, 1, 1, 3, 1],
chinese: [4, 2, 1, 4, 1],
lydian_minor: [2, 2, 2, 1, 1, 2, 2],
blues_major: [2, 1, 1, 3, 2, 3],
blues_minor: [3, 2, 1, 1, 3, 2]}}.call
ROMAN_DIGITS = {
'I' => 1,
'V' => 5,
'X' => 10,
'L' => 50,
'C' => 100,
'D' => 500,
'M' => 1000
}
def self.from_roman(numeral)
return nil unless /^M{0,4}(CM|CD|D?C{0,4})(XC|XL|L?X{0,4})(IX|IV|V?I{0,4})$/i === numeral.to_s
vals = numeral.to_s.upcase.split('').map {|c| ROMAN_DIGITS[c]}
result = 0
i = 0
while i < vals.length
if i < vals.length - 1 && vals[i + 1] > vals[i]
result += vals[i + 1] - vals[i]
i += 2
else
result += vals[i]
i += 1
end
end
result
end
def self.resolve_degree_index(degree)
if degree.is_a? Numeric
num = degree
else
begin
num = Integer(degree.to_s)
rescue ArgumentError
num = from_roman degree
end
end
if num.nil? || num <= 0
raise InvalidDegreeError, "Invalid scale degree #{degree.inspect}, scale degree must be a valid number or roman numeral greater than 0"
end
num - 1
end
def self.resolve_degree(degree, tonic, scale)
scale = Scale.resolve_scale(tonic, scale, 1)
augmentation = 0
if not degree.is_a? Numeric
degree = degree.to_s.downcase
if degree.start_with? 'p'
augmentation = 0
degree = degree[1..-1]
elsif degree.start_with? 'aa'
augmentation = 2
degree = degree[2..-1]
elsif degree.start_with? 'a'
augmentation = 1
degree = degree[1..-1]
elsif degree.start_with? 'dd'
augmentation = -2
degree = degree[2..-1]
elsif degree.start_with? 'd'
augmentation = -1
degree = degree[1..-1]
end
end
octave, index = resolve_degree_index(degree).divmod (scale.notes.length - 1)
scale.notes[index] + octave * 12 + augmentation
end
@@scale_cache = Hash.new {|h, k| h[k] = Hash.new {|h2, k2| h2[k2] = {} } }
def self.resolve_scale(tonic, name, num_octaves)
tonic = tonic.is_a?(String) ? tonic.to_sym : tonic
name = name.is_a?(String) ? name.to_sym : name
cached = @@scale_cache[tonic][name][num_octaves]
return cached unless cached.nil?
scale = Scale.new(tonic, name, num_octaves)
@@scale_cache[tonic][name][num_octaves] = scale
scale
end
attr_reader :name, :tonic, :num_octaves, :notes
def initialize(tonic, name, num_octaves=1)
name = name.to_sym
intervals = SCALE[name]
raise InvalidScaleError, "Unknown scale name: #{name.inspect}" unless intervals
intervals = intervals * num_octaves
current = Note.resolve_midi_note(tonic)
res = [current]
intervals.each do |i|
current += i
res << current
end
@name = name
@tonic = tonic
@num_octaves = num_octaves
@notes = res
super(res)
end
def to_s
"#<SonicPi::Scale :#{Note.resolve_note_name(@tonic)} :#{@name} #{@notes}>"
end
def inspect
to_s
end
end
end
|
