# Copyright 2016 Google Inc. All Rights Reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. """Utility functions for working with chord progressions. Use extract_chords_for_melodies to extract chord progressions from a QuantizedSequence object, aligned with already-extracted melodies. Use ChordProgression.to_sequence to write a chord progression to a NoteSequence proto, encoding the chords as text annotations. """ import abc from six.moves import range # pylint: disable=redefined-builtin from magenta.music import chord_symbols_lib from magenta.music import constants from magenta.music import events_lib from magenta.pipelines import statistics from magenta.protobuf import music_pb2 STANDARD_PPQ = constants.STANDARD_PPQ NOTES_PER_OCTAVE = constants.NOTES_PER_OCTAVE NO_CHORD = constants.NO_CHORD # Shortcut to CHORD_SYMBOL annotation type. CHORD_SYMBOL = music_pb2.NoteSequence.TextAnnotation.CHORD_SYMBOL class CoincidentChordsException(Exception): pass class BadChordException(Exception): pass class ChordEncodingException(Exception): pass class ChordProgression(events_lib.SimpleEventSequence): """Stores a quantized stream of chord events. ChordProgression is an intermediate representation that all chord or lead sheet models can use. Chords are represented here by a chord symbol string; model-specific code is responsible for converting this representation to SequenceExample protos for TensorFlow. ChordProgression implements an iterable object. Simply iterate to retrieve the chord events. ChordProgression events are chord symbol strings like "Cm7", with special event NO_CHORD to indicate no chordal harmony. When a chord lasts for longer than a single step, the chord symbol event is repeated multiple times. Note that this is different from MonophonicMelody, where the special MELODY_NO_EVENT is used for subsequent steps of sustained notes; in the case of harmony, there's no distinction between a repeated chord and a sustained chord. Chords must be inserted in ascending order by start time. Attributes: start_step: The offset of the first step of the progression relative to the beginning of the source sequence. end_step: The offset to the beginning of the bar following the last step of the progression relative to the beginning of the source sequence. steps_per_quarter: Number of steps in in a quarter note. steps_per_bar: Number of steps in a bar (measure) of music. """ def __init__(self): """Construct an empty ChordProgression.""" super(ChordProgression, self).__init__(pad_event=NO_CHORD) def __deepcopy__(self, unused_memo=None): new_copy = type(self)() new_copy.from_event_list(list(self._events), self.start_step, self.steps_per_bar, self.steps_per_quarter) return new_copy def __eq__(self, other): if not isinstance(other, ChordProgression): return False else: return super(ChordProgression, self).__eq__(other) def _add_chord(self, figure, start_step, end_step): """Adds the given chord to the `events` list. `start_step` is set to the given chord. Everything after `start_step` in `events` is deleted before the chord is added. `events`'s length will be changed so that the last event has index `end_step` - 1. Args: figure: Chord symbol figure. A string like "Cm9" representing the chord. start_step: A non-negative integer step that the chord begins on. end_step: An integer step that the chord ends on. The chord is considered to end at the onset of the end step. `end_step` must be greater than `start_step`. Raises: BadChordException: If `start_step` does not precede `end_step`. """ if start_step >= end_step: raise BadChordException( 'Start step does not precede end step: start=%d, end=%d' % (start_step, end_step)) self.set_length(end_step) for i in range(start_step, end_step): self._events[i] = figure def from_quantized_sequence(self, quantized_sequence, start_step, end_step): """Populate self with the chords from the given QuantizedSequence object. A chord progression is extracted from the given sequence starting at time step `start_step` and ending at time step `end_step`. The number of time steps per bar is computed from the time signature in `quantized_sequence`. Args: quantized_sequence: A sequences_lib.QuantizedSequence instance. start_step: Start populating chords at this time step. end_step: Stop populating chords at this time step. Raises: NonIntegerStepsPerBarException: If `quantized_sequence`'s bar length (derived from its time signature) is not an integer number of time steps. CoincidentChordsException: If any of the chords start on the same step. """ self._reset() steps_per_bar_float = quantized_sequence.steps_per_bar() if steps_per_bar_float % 1 != 0: raise events_lib.NonIntegerStepsPerBarException( 'There are %f timesteps per bar. Time signature: %d/%d' % (steps_per_bar_float, quantized_sequence.time_signature.numerator, quantized_sequence.time_signature.denominator)) self._steps_per_bar = int(steps_per_bar_float) self._steps_per_quarter = quantized_sequence.steps_per_quarter # Sort track by chord times. chords = sorted(quantized_sequence.chords, key=lambda chord: chord.step) prev_step = None prev_figure = NO_CHORD for chord in chords: if chord.step >= end_step: # No more chords within range. break elif chord.step < start_step: # Chord is before start of range. prev_step = chord.step prev_figure = chord.figure continue if chord.step == prev_step: if chord.figure == prev_figure: # Identical coincident chords, just skip. continue else: # Two different chords start at the same time step. self._reset() raise CoincidentChordsException('chords %s and %s are coincident' % (prev_figure, chord.figure)) if chord.step > start_step: # Add the previous chord. start_index = max(prev_step, start_step) - start_step end_index = chord.step - start_step self._add_chord(prev_figure, start_index, end_index) prev_step = chord.step prev_figure = chord.figure if prev_step < end_step: # Add the last chord active before end_step. start_index = max(prev_step, start_step) - start_step end_index = end_step - start_step self._add_chord(prev_figure, start_index, end_index) self._start_step = start_step self._end_step = end_step def to_sequence(self, sequence_start_time=0.0, qpm=120.0): """Converts the ChordProgression to NoteSequence proto. This doesn't generate actual notes, but text annotations specifying the chord changes when they occur. Args: sequence_start_time: A time in seconds (float) that the first chord in the sequence will land on. qpm: Quarter notes per minute (float). Returns: A NoteSequence proto encoding the given chords as text annotations. """ seconds_per_step = 60.0 / qpm / self.steps_per_quarter sequence = music_pb2.NoteSequence() sequence.tempos.add().qpm = qpm sequence.ticks_per_quarter = STANDARD_PPQ current_figure = NO_CHORD for step, figure in enumerate(self): if figure != current_figure: current_figure = figure chord = sequence.text_annotations.add() chord.time = step * seconds_per_step + sequence_start_time chord.text = figure chord.annotation_type = CHORD_SYMBOL return sequence def transpose(self, transpose_amount, chord_symbol_functions= chord_symbols_lib.ChordSymbolFunctions.get()): """Transpose chords in this ChordProgression. Args: transpose_amount: The number of half steps to transpose this ChordProgression. Positive values transpose up. Negative values transpose down. chord_symbol_functions: ChordSymbolFunctions object with which to perform the actual transposition of chord symbol strings. Raises: ChordSymbolException: If a chord (other than "no chord") fails to be interpreted by the ChordSymbolFunctions object. """ for i in xrange(len(self._events)): if self._events[i] != NO_CHORD: self._events[i] = chord_symbol_functions.transpose_chord_symbol( self._events[i], transpose_amount % NOTES_PER_OCTAVE) def extract_chords_for_melodies(quantized_sequence, melodies): """Extracts from the QuantizedSequence a chord progression for each melody. This function will extract the underlying chord progression (encoded as text annotations) from `quantized_sequence` for each monophonic melody in `melodies`. Each chord progression will be the same length as its corresponding melody. Args: quantized_sequence: A sequences_lib.QuantizedSequence object. melodies: A python list of MonophonicMelody instances. Returns: A python list of ChordProgression instances, the same length as `melodies`. If a progression fails to be extracted for a melody, the corresponding list entry will be None. """ chord_progressions = [] stats = dict([('coincident_chords', statistics.Counter('coincident_chords'))]) for melody in melodies: try: chords = ChordProgression() chords.from_quantized_sequence( quantized_sequence, melody.start_step, melody.end_step) except CoincidentChordsException: stats['coincident_chords'].increment() chords = None chord_progressions.append(chords) return chord_progressions, stats.values() class ChordRenderer(object): """An abstract class for rendering NoteSequence chord symbols as notes.""" __metaclass__ = abc.ABCMeta @abc.abstractmethod def render(self, sequence): """Renders the chord symbols of a NoteSequence. This function renders chord symbol annotations in a NoteSequence as actual notes. Notes are added to the NoteSequence object, and the chord symbols remain also. Args: sequence: The NoteSequence for which to render chord symbols. """ pass class BasicChordRenderer(ChordRenderer): """A chord renderer that holds each note for the duration of the chord.""" def __init__(self, velocity=100, instrument=1, program=88, chord_symbol_functions= chord_symbols_lib.ChordSymbolFunctions.get()): """Initialize a BasicChordRenderer object. Args: velocity: The MIDI note velocity to use. instrument: The MIDI instrument to use. program: The MIDI program to use. chord_symbol_functions: ChordSymbolFunctions object with which to perform the actual transposition of chord symbol strings. """ self._velocity = velocity self._instrument = instrument self._program = program self._chord_symbol_functions = chord_symbol_functions def _render_notes(self, sequence, pitches, start_time, end_time): for pitch in pitches: # Add a note. note = sequence.notes.add() note.start_time = start_time note.end_time = end_time note.pitch = pitch note.velocity = self._velocity note.instrument = self._instrument note.program = self._program def render(self, sequence): # Sort text annotations by time. annotations = sorted(sequence.text_annotations, key=lambda a: a.time) prev_time = 0.0 prev_figure = NO_CHORD for annotation in annotations: if annotation.time >= sequence.total_time: break if annotation.annotation_type == CHORD_SYMBOL: if prev_figure != NO_CHORD: # Render the previous chord. pitches = self._chord_symbol_functions.chord_symbol_midi_pitches( prev_figure) self._render_notes(sequence=sequence, pitches=pitches, start_time=prev_time, end_time=annotation.time) prev_time = annotation.time prev_figure = annotation.text if (prev_time < sequence.total_time and prev_figure != NO_CHORD): # Render the last chord. pitches = self._chord_symbol_functions.chord_symbol_midi_pitches( prev_figure) self._render_notes(sequence=sequence, pitches=pitches, start_time=prev_time, end_time=sequence.total_time) class SingleChordEncoderDecoder(object): """An abstract class for encoding and decoding individual chords. """ __metaclass__ = abc.ABCMeta @abc.abstractproperty def num_classes(self): """The number of distinct chord encodings. Returns: An int, the range of ints that can be returned by self.encode_chord. """ pass @abc.abstractmethod def encode_chord(self, figure): """Convert from a chord symbol string to a chord encoding integer. Args: figure: A chord symbol string representing the chord. Returns: An integer representing the encoded chord, in range [0, self.num_classes). """ pass @abc.abstractmethod def decode_chord(self, index): """Convert from a chord encoding integer to a chord symbol string. Args: index: The encoded chord, an integer in the range [0, self.num_classes). Returns: A chord symbol string representing the decoded chord. """ pass class MajorMinorEncoderDecoder(SingleChordEncoderDecoder): """Encodes chords as root + major/minor, with zero index for "no chord". Encodes chords as follows: 0: "no chord" 1-12: chords with a major triad, where 1 is C major, 2 is C# major, etc. 13-24: chords with a minor triad, where 13 is C minor, 14 is C# minor, etc. """ # Mapping from pitch class index to name. Eventually this should be defined # more globally, but right now only `decode_chord` needs it. _PITCH_CLASS_MAPPING = ['C', 'C#', 'D', 'E-', 'E', 'F', 'F#', 'G', 'A-', 'A', 'B-', 'B'] def __init__(self, chord_symbol_functions= chord_symbols_lib.ChordSymbolFunctions.get()): """Initialize the MajorMinorEncoderDecoder object. Args: chord_symbol_functions: ChordSymbolFunctions object with which to perform the actual transposition of chord symbol strings. """ self._chord_symbol_functions = chord_symbol_functions @property def num_classes(self): return 2 * NOTES_PER_OCTAVE + 1 def encode_chord(self, figure): if figure == NO_CHORD: return 0 root = self._chord_symbol_functions.chord_symbol_root(figure) quality = self._chord_symbol_functions.chord_symbol_quality(figure) if quality == chord_symbols_lib.CHORD_QUALITY_MAJOR: return root + 1 elif quality == chord_symbols_lib.CHORD_QUALITY_MINOR: return root + NOTES_PER_OCTAVE + 1 else: raise ChordEncodingException('chord is neither major nor minor: %s' % figure) def decode_chord(self, index): if index == 0: return NO_CHORD elif index - 1 < 12: # major return self._PITCH_CLASS_MAPPING[index - 1] else: # minor return self._PITCH_CLASS_MAPPING[index - NOTES_PER_OCTAVE - 1] + 'm' class ChordsEncoderDecoder(events_lib.EventsEncoderDecoder): """An abstract class for translating between chords and model data. When building your dataset, the `encode` method takes in a chord progression and returns a SequenceExample of inputs and labels. These SequenceExamples are fed into the model during training and evaluation. During generation, the `get_inputs_batch` method takes in a list of the current chord progressions and returns an inputs batch which is fed into the model to predict what the next chord should be for each progression. The `extend_event_sequences` method takes in the list of chord progressions and the softmax returned by the model and extends each progression by one step by sampling from the softmax probabilities. This loop (`get_inputs_batch` -> inputs batch is fed through the model to get a softmax -> `extend_event_sequences`) is repeated until the generated chord progressions have reached the desired length. """ __metaclass__ = abc.ABCMeta @abc.abstractmethod def events_to_input(self, events, position): """Returns the input vector for the chord event at the given position. Args: events: A ChordProgression object. position: An integer event position in the chord progression. Returns: An input vector, a self.input_size length list of floats. """ pass @abc.abstractmethod def events_to_label(self, events, position): """Returns the label for the chord event at the given position. Args: events: A ChordProgression object. position: An integer event position in the chord progression. Returns: A label, an integer in the range [0, self.num_classes). """ pass @abc.abstractmethod def class_index_to_event(self, class_index, events): """Returns the chord event for the given class index. This is the reverse process of the self.events_to_label method. Args: class_index: An integer in the range [0, self.num_classes). events: A ChordProgression object. Returns: An chord progression event value, the chord symbol figure string. """ pass def transpose_and_encode(self, chords, transpose_amount): """Returns a SequenceExample for the given chord progression. Args: chords: A ChordProgression object. transpose_amount: The number of half steps to transpose the chords. Returns: A tf.train.SequenceExample containing inputs and labels. """ chords.transpose(transpose_amount) return self._encode(chords)