When specifying pitch materials like chords, scales, and intervals, as well as when specifying general-midi instruments, the constants defined in efficient_rhythms/er_constants.py can be used. For ease of reference, these constants are also listed below.
In settings files, these constants can be indicated in either of the following ways:
C * MAJOR_SCALE"C * MAJOR_SCALE"The only advantage of using strings is that you can use the # character to indicate sharps. So "C# * MAJOR_SCALE" or "C## * MAJOR_SCALE" will work as expected, but C# * MAJOR_SCALE won’t work because # is not a legal character in Python identifiers. (Everything after # will be understood as a comment.)
TODO document just and tempered pitch constants.
Natural pitch-class constants.
C = 1.0
D = 9 / 8
E = 5 / 4
F = 4 / 3
G = 3 / 2
A = 10 / 6
B = 15 / 8Flats and sharps are here defined as the difference between a just major and a just minor third.
FLAT = 24 / 25
SHARP = 25 / 24Flat and sharp pitch-class constants. (In user settings, “#” only works in strings, where it will be replaced by ‘_SHARP’, since ‘#’ isn’t a valid character in Python identifiers)
Cb = C * FLAT
Db = D * FLAT
Eb = E * FLAT
Fb = F * FLAT
Gb = G * FLAT
Ab = A * FLAT
Bb = B * FLAT
C# = C_SHARP = C * SHARP
D# = D_SHARP = D * SHARP
E# = E_SHARP = E * SHARP
F# = F_SHARP = F * SHARP
G# = G_SHARP = G * SHARP
A# = A_SHARP = A * SHARP
B# = B_SHARP = B * SHARPDouble-flat and double-sharp pitch-class constants.
Cbb = C * FLAT * FLAT
Dbb = D * FLAT * FLAT
Ebb = E * FLAT * FLAT
Fbb = F * FLAT * FLAT
Gbb = G * FLAT * FLAT
Abb = A * FLAT * FLAT
Bbb = B * FLAT * FLAT
C## = C_SHARP_SHARP = C * SHARP * SHARP
D## = D_SHARP_SHARP = D * SHARP * SHARP
E## = E_SHARP_SHARP = E * SHARP * SHARP
F## = F_SHARP_SHARP = F * SHARP * SHARP
G## = G_SHARP_SHARP = G * SHARP * SHARP
A## = A_SHARP_SHARP = A * SHARP * SHARP
B## = B_SHARP_SHARP = B * SHARP * SHARP‘FLAT’ aliases for consistency with ‘SHARP’ names
C_FLAT = Cb
D_FLAT = Db
E_FLAT = Eb
F_FLAT = Fb
G_FLAT = Gb
A_FLAT = Ab
B_FLAT = Bb
C_FLAT_FLAT = Cbb
D_FLAT_FLAT = Dbb
E_FLAT_FLAT = Ebb
F_FLAT_FLAT = Fbb
G_FLAT_FLAT = Gbb
A_FLAT_FLAT = Abb
B_FLAT_FLAT = BbbJust-interval constants
UNISON = PERFECT_UNISON = 1.0
MINOR_2ND = MINOR_SECOND = 16 / 15
MAJOR_2ND = MAJOR_SECOND = 9 / 8
MINOR_3RD = MINOR_THIRD = 6 / 5
MAJOR_3RD = MAJOR_THIRD = 5 / 4
PERFECT_4TH = PERFECT_FOURTH = 4 / 3
DIMINISHED_5TH = DIMINISHED_FIFTH = 4096 / 2916
PERFECT_5TH = PERFECT_FIFTH = 3 / 2
AUGMENTED_5TH = AUGMENTED_FIFTH = 25 / 16
MINOR_6TH = MINOR_SIXTH = 8 / 5
MAJOR_6TH = MAJOR_SIXTH = 10 / 6
MINOR_7TH = MINOR_SEVENTH = 16 / 9
MAJOR_7TH = MAJOR_SEVENTH = 15 / 8
OCTAVE = PERFECT_OCTAVE = 2.0
MINOR_9TH = MINOR_NINTH = 32 / 15
MAJOR_9TH = MAJOR_NINTH = 9 / 4
MINOR_10TH = MINOR_TENTH = 12 / 5
MAJOR_10TH = MAJOR_TENTH = 5 / 2Generic-interval constants
GENERIC_UNISON = 0
SECOND = GENERIC_SECOND = 1
THIRD = GENERIC_THIRD = 2
FOURTH = GENERIC_FOURTH = 3
FIFTH = GENERIC_FIFTH = 4
SIXTH = GENERIC_SIXTH = 5
SEVENTH = GENERIC_SEVENTH = 6
GENERIC_OCTAVE = 7Roman-numeral constants. These are defined relative to the major scale, the way jazz musicians sometimes use them.
I = UNISON
bII = MINOR_2ND
II = MAJOR_2ND
bIII = MINOR_3RD
III = MAJOR_3RD
IV = PERFECT_4TH
bV = DIMINISHED_5TH
V = PERFECT_5TH
bVI = MINOR_6TH
VI = MAJOR_6TH
bVII = MINOR_7TH
VII = MAJOR_7THTriad constants
MAJOR_TRIAD = np.array([UNISON, MAJOR_3RD, PERFECT_5TH])
MINOR_TRIAD = np.array([UNISON, MINOR_3RD, PERFECT_5TH])
DIMINISHED_TRIAD = np.array([UNISON, MINOR_3RD, DIMINISHED_5TH])
AUGMENTED_TRIAD = np.array([UNISON, MAJOR_3RD, AUGMENTED_5TH])Seventh-chord constants
HALF_DIMINISHED_CHORD = np.array([UNISON, MINOR_3RD, DIMINISHED_5TH, MINOR_7TH])
DOMINANT_7TH_CHORD = np.array([UNISON, MAJOR_3RD, PERFECT_5TH, MINOR_7TH])
MAJOR_7TH_CHORD = np.array([UNISON, MAJOR_3RD, PERFECT_5TH, MAJOR_7TH])
MINOR_7TH_CHORD = np.array([UNISON, MINOR_3RD, PERFECT_5TH, MINOR_7TH])Incomplete seventh-chord constants
HALF_DIMINISHED_NO5 = np.array([UNISON, MINOR_3RD, MINOR_7TH])
HALF_DIMINISHED_NO3 = np.array([UNISON, DIMINISHED_5TH, MINOR_7TH])
DOMINANT_7TH_NO5 = np.array([UNISON, MAJOR_3RD, MINOR_7TH])
DOMINANT_7TH_NO3 = np.array([UNISON, PERFECT_5TH, MINOR_7TH])
MAJOR_7TH_NO5 = np.array([UNISON, MAJOR_3RD, MAJOR_7TH])
MAJOR_7TH_NO3 = np.array([UNISON, PERFECT_5TH, MAJOR_7TH])
MINOR_7TH_NO5 = np.array([UNISON, MINOR_3RD, MINOR_7TH])
MINOR_7TH_NO3 = np.array([UNISON, PERFECT_5TH, MINOR_7TH])Inverted triad constants
MAJOR_53 = MAJOR_TRIAD
MAJOR_63 = np.array([UNISON, MINOR_3RD, MINOR_6TH])
MAJOR_64 = np.array([UNISON, PERFECT_4TH, MAJOR_6TH])
MINOR_53 = MINOR_TRIAD
MINOR_63 = np.array([UNISON, MAJOR_3RD, MAJOR_6TH])
MINOR_64 = np.array([UNISON, PERFECT_4TH, MINOR_6TH])
MAJOR_53_OPEN = np.array([UNISON, PERFECT_5TH, MAJOR_3RD * OCTAVE])
MAJOR_63_OPEN = np.array([UNISON, MINOR_6TH, MINOR_3RD * OCTAVE])
MAJOR_64_OPEN = np.array([UNISON, MAJOR_6TH, PERFECT_4TH * OCTAVE])
MINOR_53_OPEN = np.array([UNISON, PERFECT_5TH, MINOR_3RD * OCTAVE])
MINOR_63_OPEN = np.array([UNISON, MAJOR_6TH, MAJOR_3RD * OCTAVE])
MINOR_64_OPEN = np.array([UNISON, MINOR_6TH, PERFECT_4TH * OCTAVE])Triad group constants
CONSONANT_TRIADS = [MAJOR_TRIAD, MAJOR_63, MAJOR_64, MINOR_TRIAD, MINOR_63, MINOR_64]
CONSONANT_TRIADS_NO_64 = [MAJOR_TRIAD, MAJOR_63, MINOR_TRIAD, MINOR_63]
CONSONANT_TRIADS_OPEN = [MAJOR_53_OPEN, MAJOR_63_OPEN, MAJOR_64_OPEN, MINOR_53_OPEN, MINOR_63_OPEN, MINOR_64_OPEN]
CONSONANT_TRIADS_OPEN_NO_64 = [MAJOR_53_OPEN, MAJOR_63_OPEN, MINOR_53_OPEN, MINOR_63_OPEN]Just scale constants
PENTATONIC_SCALE = np.array([C, G, D, A, E])
DIATONIC_SCALE = np.array([F, C, G, D, A, E, B])
HEXACHORD_MAJOR = np.array([F, C, G, D, A, E])
HEXACHORD_MINOR = np.array([F, C, G, D, A, Eb])
MAJOR_SCALE = DIATONIC_SCALE
NATURAL_MINOR_SCALE = DIATONIC_SCALE * EbDiatonic modes
IONIAN = DIATONIC_SCALE
DORIAN = DIATONIC_SCALE * Bb
PHRYGIAN = DIATONIC_SCALE * Ab
LYDIAN = DIATONIC_SCALE * G
MIXOLYDIAN = DIATONIC_SCALE * F
AEOLIAN = DIATONIC_SCALE * Eb
LOCRIAN = DIATONIC_SCALE * Db12-tone equal tempered symmetric-scale constants
WHOLE_TONE = np.array([0, 2, 4, 6, 8, 10])
OCTATONIC01 = OCTATONIC = np.array([0, 1, 3, 4, 6, 7, 9, 10])
OCTATONIC02 = np.array([0, 2, 3, 5, 6, 8, 9, 11])
HEXATONIC01 = HEXATONIC = np.array([0, 1, 4, 5, 8, 9])
HEXATONIC03 = np.array([0, 3, 4, 7, 8, 11])
ENNEATONIC012 = ENNEATONIC = np.array([0, 1, 2, 4, 5, 6, 8, 9, 10])
ENNEATONIC013 = np.array([0, 1, 3, 4, 5, 7, 8, 9, 11])
ENNEATONIC023 = np.array([0, 2, 3, 4, 6, 7, 8, 10, 11])CONTIGUOUS_OCTAVES = np.array([[2.0 ** i, 2.0 ** (i + 1)] for i in range(7)])
CONTIGUOUS_4THS = np.array([[(4 / 3) ** i, (4 / 3) ** (i + 1)] for i in range(7)])
CONTIGUOUS_5THS = np.array([[(3 / 2) ** i, (3 / 2) ** (i + 1)] for i in range(7)])
CONTIGUOUS_12THS = np.array([[(3 / 1) ** i, (3 / 1) ** (i + 1)] for i in range(7)])
CONTIGUOUS_15THS = np.array([[(4 / 1) ** i, (4 / 1) ** (i + 1)] for i in range(7)])
AUTHENTIC_OCTAVES = np.append(CONTIGUOUS_OCTAVES, CONTIGUOUS_OCTAVES * (3 / 2), axis=0)
AUTHENTIC_5THS = np.append(CONTIGUOUS_5THS, CONTIGUOUS_5THS * (3 / 2), axis=0)
AUTHENTIC_12THS = np.append(CONTIGUOUS_12THS, CONTIGUOUS_12THS * (3 / 2), axis=0)
AUTHENTIC_15THS = np.append(CONTIGUOUS_15THS, CONTIGUOUS_15THS * (3 / 2), axis=0)
PLAGAL_OCTAVES = np.append(CONTIGUOUS_OCTAVES, CONTIGUOUS_OCTAVES * (4 / 3), axis=0)
PLAGAL_5THS = np.append(CONTIGUOUS_5THS, CONTIGUOUS_5THS * (4 / 3), axis=0)OCTAVE0 = 2.0 ** 1
OCTAVE1 = 2.0 ** 2
OCTAVE2 = 2.0 ** 3
OCTAVE3 = 2.0 ** 4
OCTAVE4 = 2.0 ** 5
OCTAVE5 = 2.0 ** 6
OCTAVE6 = 2.0 ** 7
OCTAVE7 = 2.0 ** 8
OCTAVE8 = 2.0 ** 9CONSONANCES = (1.0, 3 / 2, 4 / 3, 5 / 4, 6 / 5, 8 / 5, 10 / 6)
PERFECT_CONSONANCES = (1.0, 3 / 2, 4 / 3)
IMPERFECT_CONSONANCES = (5 / 4, 6 / 5, 8 / 5, 10 / 6)PIANO = 0
ACOUSTIC_GRAND_PIANO = 0
BRIGHT_ACOUSTIC_PIANO = 1
ELECTRIC_GRAND_PIANO = 2
HONKY_TONK_PIANO = 3
ELECTRIC_PIANO = 4
ELECTRIC_PIANO_1 = 4
ELECTRIC_PIANO_2 = 5
HARPSICHORD = 6
CLAVI = 7
CELESTA = 8
GLOCKENSPIEL = 9
MUSIC_BOX = 10
VIBRAPHONE = 11
MARIMBA = 12
XYLOPHONE = 13
TUBULAR_BELLS = 14
DULCIMER = 15
DRAWBAR_ORGAN = 16
PERCUSSIVE_ORGAN = 17
ROCK_ORGAN = 18
CHURCH_ORGAN = 19
REED_ORGAN = 20
ACCORDION = 21
HARMONICA = 22
TANGO_ACCORDION = 23
GUITAR = 24
ACOUSTIC_GUITAR_NYLON = 24
ACOUSTIC_GUITAR_STEEL = 25
ELECTRIC_GUITAR_JAZZ = 26
ELECTRIC_GUITAR_CLEAN = 27
ELECTRIC_GUITAR_MUTED = 28
OVERDRIVEN_GUITAR = 29
DISTORTION_GUITAR = 30
GUITAR_HARMONICS = 31
ACOUSTIC_BASS = 32
ELECTRIC_BASS_FINGER = 33
ELECTRIC_BASS_PICK = 34
FRETLESS_BASS = 35
SLAP_BASS_1 = 36
SLAP_BASS_2 = 37
SYNTH_BASS_1 = 38
SYNTH_BASS_2 = 39
VIOLIN = 40
VIOLA = 41
CELLO = 42
CONTRABASS = 43
TREMOLO_STRINGS = 44
PIZZ_STRINGS = 45
PIZZICATO_STRINGS = 45
HARP = 46
ORCHESTRAL_HARP = 46
TIMPANI = 47
STRING_ENSEMBLE_1 = 48
STRING_ENSEMBLE_2 = 49
SYNTHSTRINGS_1 = 50
SYNTHSTRINGS_2 = 51
CHOIR_AAHS = 52
VOICE_OOHS = 53
SYNTH_VOICE = 54
ORCHESTRA_HIT = 55
TRUMPET = 56
TROMBONE = 57
TUBA = 58
MUTED_TRUMPET = 59
FRENCH_HORN = 60
BRASS_SECTION = 61
SYNTHBRASS_1 = 62
SYNTHBRASS_2 = 63
SOPRANO_SAX = 64
ALTO_SAX = 65
TENOR_SAX = 66
BARITONE_SAX = 67
OBOE = 68
ENGLISH_HORN = 69
BASSOON = 70
CLARINET = 71
PICCOLO = 72
FLUTE = 73
RECORDER = 74
PAN_FLUTE = 75
BLOWN_BOTTLE = 76
SHAKUHACHI = 77
WHISTLE = 78
OCARINA = 79
LEAD_1_SQUARE = 80
LEAD_2_SAWTOOTH = 81
LEAD_3_CALLIOPE = 82
LEAD_4_CHIFF = 83
LEAD_5_CHARANG = 84
LEAD_6_VOICE = 85
LEAD_7_FIFTHS = 86
LEAD_8_BASS_AND_LEAD = 87
PAD_1_NEW_AGE = 88
PAD_2_WARM = 89
PAD_3_POLYSYNTH = 90
PAD_4_CHOIR = 91
PAD_5_BOWED = 92
PAD_6_METALLIC = 93
PAD_7_HALO = 94
PAD_8_SWEEP = 95
FX_1_RAIN = 96
FX_2_SOUNDTRACK = 97
FX_3_CRYSTAL = 98
FX_4_ATMOSPHERE = 99
FX_5_BRIGHTNESS = 100
FX_6_GOBLINS = 101
FX_7_ECHOES = 102
FX_8_SCI_FI = 103
SITAR = 104
BANJO = 105
SHAMISEN = 106
KOTO = 107
KALIMBA = 108
BAG_PIPE = 109
FIDDLE = 110
SHANAI = 111
TINKLE_BELL = 112
AGOGO = 113
STEEL_DRUMS = 114
WOODBLOCK = 115
TAIKO_DRUM = 116
MELODIC_TOM = 117
SYNTH_DRUM = 118
REVERSE_CYMBAL = 119
GUITAR_FRET_NOISE = 120
BREATH_NOISE = 121
SEASHORE = 122
BIRD_TWEET = 123
TELEPHONE_RING = 124
HELICOPTER = 125
APPLAUSE = 126
GUNSHOT = 127