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from renardo_lib.Patterns import Pattern, PGroup, asStream
from renardo_lib.TimeVar import TimeVar
from random import choice
from copy import copy
import math
def miditofreq(midinote):
""" Converts a midi number to frequency """
return 440 * (2 ** ((midinote - 69.0)/12.0))
def _log2(num):
return math.log(num) / math.log(2)
def freqtomidi(freq):
return 12 * _log2((freq / 440)) + 69
def midi(scale, octave, degree, root=0, stepsPerOctave=12):
""" Calculates a midinote from a scale, octave, degree, and root """
# Make sure we force timevars into real values
if isinstance(scale, ScalePattern) and isinstance(scale.data, TimeVar):
scale = asStream(scale.data.now())
# Force float
octave = float(octave)
degree = float(degree)
root = float(root)
# Floor val
lo = int(math.floor(degree))
hi = lo + 1
octave = octave + (lo // len(scale))
index = lo % len(scale)
# Work out any microtones
micro = (degree - lo)
if micro > 0:
ex_scale = list(scale) + [stepsPerOctave]
diff = ex_scale[index + 1] - scale[index]
micro = micro * diff
midival = stepsPerOctave * octave # Root note of scale
midival = midival + root # Adjust for key
midival = midival + scale[index] # Add the note
midival = midival + micro # And any microtonal
return midival
def get_freq_and_midi(degree, octave, root, scale):
""" Returns the frequency and midinote """
# TODO -- make sure it's always a scale
if hasattr(scale, "now"):
scale = scale.now()
if isinstance(scale, ScaleType):
freq, midinote = scale.get_freq(degree, octave, root, get_midi=True)
else:
midinote = midi(scale, octave, degree, root)
freq = miditofreq(midinote)
return freq, midinote
class ScaleType:
pass
class TuningType(list):
def __init__(self, data):
data = list(data)
list.__init__(self, data[:-1])
self.steps = int(data[-1])
class Tuning:
ET12 = TuningType([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12])
just = TuningType([0.0, 1.1173128526978, 2.0391000173077, 3.1564128700055, 3.8631371386483, 4.9804499913461, 5.9022371559561, 7.0195500086539, 8.1368628613517, 8.8435871299945, 10.175962878659, 10.882687147302, 12 ])
bohlen_pierce = TuningType([i*12/13*math.log(3, 2) for i in range(14)])
class ScalePattern(ScaleType, Pattern):
name = None
def __init__(self, semitones, name=None, tuning=Tuning.ET12):
self.name = name
self.semitones = semitones.data if isinstance(semitones, Pattern) else semitones
if not isinstance(tuning, TuningType):
self.tuning = TuningType(tuning)
else:
self.tuning = tuning
self.data = self.semitones
self.steps = self.tuning.steps
if self.steps:
self.pentatonic = PentatonicScalePattern(self)
def __eq__(self, other):
return self.name == other.name if isinstance(other, ScalePattern) else False
def __ne__(self, other):
return self.name != other.name if isinstance(other, ScalePattern) else True
def semitones(self, pitches):
""" Returns the semitone values for a series of pitches in this scale """
tones = []
for pitch in asStream(pitches):
tones.append( self.note_to_semitone(pitch) )
return Pattern(tones)
def get_tuned_note(self, degree):
tuning_index = int(self[degree]) % len(self.tuning)
# tuning_offset = 0
# if degree < 0:
# tuning_offset = (((abs(degree) // len(self.tuning)) + 1) * self.steps)
return self.tuning[tuning_index]
def get_midi_note(self, degree, octave=5, root=0):
""" Calculates a midinote from a scale, octave, degree, and root """
# Make sure we force timevars into real values
if isinstance(self.data, TimeVar):
scale = asStream(self.data.now())
# Force float
octave = float(octave)
degree = float(degree)
root = float(root)
# Floor val
lo = int(math.floor(degree))
hi = lo + 1
octave = octave + (lo // len(self))
index = lo % len(self)
pitch = self.get_tuned_note(index)
# Work out any microtones
micro = (degree - lo)
if micro > 0:
ex_scale = list(self) + [self.steps]
diff = ex_scale[index + 1] - self[index]
micro = micro * diff
midival = self.steps * octave # Root note of scale
midival = midival + root # Adjust for key
midival = midival + pitch # Add the note
midival = midival + micro # And any microtones
return midival
def get_freq(self, degree, octave=5, root=0, get_midi=False):
""" Returns the frequency of a midinote calculated by self.get_midi_note. Returns a tuple containing
the freqency and midinote if `get_midi` is set to `True`. """
midinote = self.get_midi_note(degree, octave, root)
return (miditofreq(midinote), midinote) if get_midi else miditofreq(midinote)
def note_to_semitone(self, pitch):
""" Takes a pitch value and returns the semitone value e.g. midinote value not accounting for octaves """
if isinstance(pitch, PGroup):
return pitch.__class__([self.note_to_semitone(p) for p in pitch])
else:
i = pitch % len(self.data)
n = (pitch // len(self.data)) * self.steps
return asStream(self.data)[i] + n
def getslice(self, start, stop, step=1):
""" Called when using __getitem__ with slice notation. Numbers
smaller than 0 and greater than the max value are adjusted. """
start = start if start is not None else 0
stop = stop if stop is not None else len(self)
step = step if step is not None else 1
if stop < start:
stop = (len(self.data) + stop)
semitones = []
for i in range(start, stop, step):
# Get the semitone
tone = self[i]
# Negative values
if i < 0:
sub = (((abs(i) // len(self)) + 1) * self.steps)
tone -= sub
# Values past the end
elif i >= len(self):
add = ((i // len(self)) * self.steps)
tone += add
semitones.append(tone)
return ScalePattern(semitones)
#def semitone_to_note(self, semitone):
# """ Takes a semitone value (midinote) and returns the pitch in this scale """
# return semitone
class PentatonicScalePattern(ScalePattern):
def __init__(self, scale):
self.update(scale)
def update(self, scale):
self.data = scale
self.steps = scale.steps
self.semitones = scale.semitones
self.tuning = scale.tuning
def __len__(self):
return 5
@staticmethod
def values(scale):
shift = ((scale[2]-scale[0]) % 2) * 2
return sorted([scale[(i+shift)%len(scale)] for i in range(0,5*4,4)])
def __str__(self):
return str(self.values(self.data))
def __repr__(self):
return str(self)
def __iter__(self):
for note in self.values(self.data):
yield note
def __getitem__(self, key):
return self.values(self.data)[int(key)]
class FreqScalePattern(ScalePattern):
def __init__(self):
ScalePattern.__init__(self, [], name="freq")
def get_midi_note(self, freq, *args, **kwargs):
return freqtomidi(freq)
def get_freq(self, freq, *args, **kwargs):
return (freq, freqtomidi(freq)) if kwargs.get("get_midi", False) else freq
def __repr__(self):
return "[inf]"
class _DefaultTuning(TuningType):
""" Wrapper for Tuning.default """
def __init__(self, tuning):
self.tuning = tuning
def __len__(self):
return len(self.tuning)
class _DefaultScale(ScaleType):
""" Wrapper for Scale.default """
def __init__(self, scale):
self.scale = copy(scale)
self.pentatonic = copy(self.scale.pentatonic)
def __len__(self):
return len(self.scale)
def __repr__(self):
return repr(self.scale)
def __iter__(self):
return self.scale.__iter__()
def set(self, new, *args, **kwargs):
""" Change the contents of the default scale """
if type(new) == str:
self.scale = Scale.get_scale(new)
if "tuning" in kwargs:
self.scale.tuning = kwargs["tuning"]
self.pentatonic.update(self.scale.pentatonic)
elif isinstance(new, (list, Pattern, TimeVar)):
self.scale = ScalePattern(new, *args, **kwargs)
# Store if the user has used a name
if self.scale.name is not None and self.scale.name not in Scale.names():
Scale[self.scale.name] = self.scale
self.pentatonic.update(self.scale.pentatonic)
else:
print("Warning: {!r} is not a valid scale".format(new))
return self
def __getattribute__(self, attr):
if attr not in ("scale", "set", "pentatonic"):
return self.scale.__getattribute__(attr)
else:
return object.__getattribute__(self, attr)
# Python2
def __getattr__(self, attr):
return self.__getattribute__(attr)
# Custom made fibonacci tuing
##fib = [0,1]
##for n in range(2,11):
## fib.append(fib[n-1]+fib[n-2])
##
##fibonacci = []
##for n in range(3, len(fib)-1):
## fibonacci.append((n-3) * (fib[n] / float(fib[n-1])))
##
##fibonacci = Scale("fibonacci", fibonacci)
##
##del n
class __scale__:
chromatic = ScalePattern([0,1,2,3,4,5,6,7,8,9,10,11], name="chromatic")
major = ScalePattern([0,2,4,5,7,9,11], name="major")
majorPentatonic = ScalePattern([0,2,4,7,9], name="majorPentatonic" )
minor = ScalePattern([0,2,3,5,7,8,10], name="minor")
aeolian = ScalePattern([0,2,3,5,7,8,10], name="aeolian")
minorPentatonic = ScalePattern([0,3,5,7,10], name="minorPentatonic")
mixolydian = ScalePattern([0,2,4,5,7,9,10], name="mixolydian")
melodicMinor = ScalePattern([0,2,3,5,7,9,11], name="melodicMinor")
melodicMajor = ScalePattern([0,2,4,5,7,8,11], name="melodicMajor")
harmonicMinor = ScalePattern([0,2,3,5,7,8,11], name="harmonicMinor")
harmonicMajor = ScalePattern([0,2,4,5,7,8,11], name="harmonicMajor")
# Goal: Do normal scales but adjust tuning
justMajor = ScalePattern([0,2,4,5,7,9,11], name="justMajor", tuning=Tuning.just)
justMinor = ScalePattern([0,2,3,5,7,8,10], name="justMinor", tuning=Tuning.just)
dorian = ScalePattern([0,2,3,5,7,9,10], name="dorian")
dorian2 = ScalePattern([0,1,3,5,6,8,9,11], name="dorian2")
diminished = ScalePattern([0,1,3,4,6,7,9,10], name="diminished")
egyptian = ScalePattern([0,2,5,7,10], name="egyptian")
yu = ScalePattern([0,3,5,7,10], name="yu")
zhi = ScalePattern([0,2,5,7,9], name="zhi")
phrygian = ScalePattern([0,1,3,5,7,8,10], name="phrygian")
prometheus = ScalePattern([0,2,4,6,11], name="prometheus")
indian = ScalePattern([0,4,5,7,10], name="indian")
locrian = ScalePattern([0,1,3,5,6,8,10], name="locrian")
locrianMajor = ScalePattern([0,2,4,5,6,8,10], name="locrianMajor")
lydian = ScalePattern([0,2,4,6,7,9,11], name="lydian")
lydianMinor = ScalePattern([0,2,4,6,7,8,10], name="lydianMinor")
custom = ScalePattern([0,2,3,5,6,9,10], name="custom")
hungarianMinor = ScalePattern([ 0, 2, 3, 6, 7, 8, 11 ], name="hungarianMinor")
romanianMinor = ScalePattern([ 0, 2, 3, 6, 7, 9, 10 ], name="romanianMinor")
chinese = ScalePattern([ 0, 4, 6, 7, 11 ], name="chinese")
wholeTone = ScalePattern([ 0, 2, 4, 6, 8, 10 ], name="wholeTone")
# Half-Whole Diminished Scale - halfWhole
halfWhole = ScalePattern([ 0, 1, 3, 4, 6, 7, 9, 10 ], name= "halfWhole")
# Whole-Half Diminished Scale - wholeHalf
wholeHalf = ScalePattern([ 0, 2, 3, 5, 6, 8, 9, 11 ], name= "wholeHalf")
### Bebop Scales ###
bebopMaj = ScalePattern([ 0, 2, 4, 5, 7, 8, 9, 11 ], name="bebopMaj")
bebopDorian = ScalePattern([ 0, 2, 3, 4, 5, 9, 10 ], name="bebopMin") # aka Bebop Minor
bebopDom = ScalePattern([ 0, 2, 4, 5, 7, 9, 10, 11 ], name="bebopDom") # Bebop Dominant/Mixolydian
bebopMelMin = ScalePattern([ 0, 2, 3, 5, 7, 8, 9, 11 ], name="bebopMelMin") # Bebop Melodic Minor
blues = ScalePattern([ 0, 3, 5, 6, 7, 10 ], name="blues")
### Modes of the Melodic Minor Scale ###
# First mode - Min/Maj chord
minMaj = ScalePattern([ 0, 2, 3, 5, 7, 9, 11 ], name= "minMaj")
# Second mode - (x)susb9
susb9 = ScalePattern([ 0, 1, 3, 5, 7, 9, 10 ], name= "susb9")
# Third Mode - Lydian Augmented, (x)Maj7#5
lydianAug = ScalePattern([ 0, 2, 4, 6, 8, 9, 11 ], name= "lydianAug")
# Fourth Mode - Lydian Dominant, (x)7#11
lydianDom = ScalePattern([ 0, 2, 4, 6, 7, 9, 10 ], name= "lydianDom")
# Fifth Mode - seldom used, but it's IMinMaj/V
melMin5th = ScalePattern([ 0, 2, 4, 5, 7, 8, 10 ], name= "melMin5th")
# Sixth Mode - half-diminished (aka Locrian #2), (x)half-diminished
halfDim = ScalePattern([ 0, 2, 3, 5, 6, 8, 10 ], name= "halfDim")
# Seventh Mode - altered (diminished whole-tone), (x)7alt
altered = ScalePattern([ 0, 1, 3, 4, 6, 8, 10 ], name= "altered")
freq = FreqScalePattern()
def __init__(self):
self.default = _DefaultScale(self.major)
def __setattr__(self, key, value):
if key == "default" and key in vars(self):
self.default.set(value)
else:
self.__dict__[key] = value
return
def __getitem__(self, key):
return getattr(self, key)
def get_scale(self, name):
""" Returns a ScalePattern using a name """
return self.library()[name]
def library(self):
""" Returns a dictionary with scale names to scale instances """
lib = []
for items in (self.__class__.__dict__.items(), self.__dict__.items()):
lib.extend([(key, value) for key, value in items if isinstance(value, ScalePattern)])
return dict(lib)
def names(self):
""" Returns a list of all the scale names """
return sorted(self.library().keys())
def scales(self):
""" Returns a list of all the scales object """
return sorted(self.library().values(), key=lambda scale: scale.name)
def choose(self):
""" Scale.choose() -> Returns a random scale object """
return choice(self.scales())
Scale = __scale__()
# class Chord:
# def __init__(self):
# self.scale = Scale.default
# self.root = Root.default
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