110 lines
5.6 KiB
Python
110 lines
5.6 KiB
Python
from __future__ import annotations
|
|
|
|
from generator.model import NATURAL, alteration, parse_pitch_name, pitch_name
|
|
|
|
# Semantic degrees are independent of guitar voicing omissions.
|
|
KINDS = {
|
|
'major': {1: 0, 3: 0, 5: 0}, 'minor': {1: 0, 3: -1, 5: 0},
|
|
'augmented': {1: 0, 3: 0, 5: 1}, 'diminished': {1: 0, 3: -1, 5: -1},
|
|
'dominant': {1: 0, 3: 0, 5: 0, 7: -1}, 'major-seventh': {1: 0, 3: 0, 5: 0, 7: 0},
|
|
'minor-seventh': {1: 0, 3: -1, 5: 0, 7: -1}, 'diminished-seventh': {1: 0, 3: -1, 5: -1, 7: -2},
|
|
'augmented-seventh': {1: 0, 3: 0, 5: 1, 7: -1}, 'augmented-major-seventh': {1: 0, 3: 0, 5: 1, 7: 0},
|
|
'half-diminished': {1: 0, 3: -1, 5: -1, 7: -1}, 'major-minor': {1: 0, 3: -1, 5: 0, 7: 0},
|
|
'major-sixth': {1: 0, 3: 0, 5: 0, 6: 0}, 'minor-sixth': {1: 0, 3: -1, 5: 0, 6: 0},
|
|
'suspended-second': {1: 0, 2: 0, 5: 0}, 'suspended-fourth': {1: 0, 4: 0, 5: 0},
|
|
'power': {1: 0, 5: 0}, 'pedal': {1: 0}, 'other': {}, 'none': {},
|
|
'Neapolitan': {1: 0, 3: 0, 5: 0}, 'Italian': {1: 0, 3: 0, 6: 1},
|
|
'French': {1: 0, 3: 0, 4: 1, 6: 1}, 'German': {1: 0, 3: 0, 5: 0, 6: 1},
|
|
}
|
|
for family, base in (('dominant', 'dominant'), ('major', 'major-seventh'), ('minor', 'minor-seventh')):
|
|
for suffix, highest in (('ninth', 9), ('11th', 11), ('13th', 13)):
|
|
KINDS[f'{family}-{suffix}'] = {**KINDS[base], **{i: 0 for i in range(9, highest + 1, 2)}}
|
|
|
|
SUFFIXES = {'major': '', 'minor': '-', 'augmented': '+', 'diminished': 'dim', 'dominant': '7', 'major-seventh': 'maj7', 'minor-seventh': '-7', 'diminished-seventh': 'dim7', 'augmented-seventh': '+7', 'augmented-major-seventh': '+maj7', 'half-diminished': '-7b5', 'major-minor': '-maj7', 'major-sixth': '6', 'minor-sixth': '-6', 'suspended-second': 'sus2', 'suspended-fourth': 'sus4', 'power': '5', 'pedal': '', 'other': ''}
|
|
for family, prefix in (('dominant', ''), ('major', 'maj'), ('minor', '-')):
|
|
for suffix, number in (('ninth', '9'), ('11th', '11'), ('13th', '13')):
|
|
SUFFIXES[f'{family}-{suffix}'] = prefix + number
|
|
|
|
def degrees(harmony: dict) -> dict[int, int]:
|
|
kind = harmony['kind']
|
|
if kind not in KINDS:
|
|
raise ValueError(f'unsupported harmony kind: {kind}')
|
|
result = KINDS[kind].copy()
|
|
for change in harmony.get('degrees', []):
|
|
degree, alter, operation = change['value'], alteration(change['alter']), change['type']
|
|
if type(degree) is not int or degree < 1:
|
|
raise ValueError('invalid harmony degree')
|
|
if operation == 'subtract':
|
|
if degree not in result:
|
|
raise ValueError(f'cannot subtract absent chord degree {degree}')
|
|
del result[degree]
|
|
elif operation == 'alter':
|
|
if degree not in result:
|
|
raise ValueError(f'cannot alter absent chord degree {degree}; use add')
|
|
result[degree] = alter
|
|
elif operation == 'add':
|
|
if degree in result:
|
|
raise ValueError(f'duplicate added chord degree {degree}')
|
|
result[degree] = alter
|
|
else:
|
|
raise ValueError(f'unsupported degree operation: {operation}')
|
|
if kind != 'none' and not result:
|
|
if kind == 'other':
|
|
raise ValueError("harmony kind 'other' requires explicit added degrees; use a standard <kind> or add <degree> elements; display text alone does not define pitches")
|
|
raise ValueError('harmony contains no pitch information')
|
|
return result
|
|
|
|
def degree_semitones(degree: int, alter: int) -> int:
|
|
return 12 * ((degree - 1) // 7) + (0, 2, 4, 5, 7, 9, 11)[(degree - 1) % 7] + alter
|
|
|
|
def pitch_classes(harmony: dict) -> tuple[int, ...]:
|
|
if harmony['kind'] == 'none':
|
|
return ()
|
|
root = harmony['root']
|
|
root_pc = NATURAL[root['letter']] + alteration(root['alter'])
|
|
values = [(root_pc + degree_semitones(d, a)) % 12 for d, a in degrees(harmony).items()]
|
|
if bass := harmony.get('bass'):
|
|
values.append((NATURAL[bass['letter']] + alteration(bass['alter'])) % 12)
|
|
return tuple(dict.fromkeys(values))
|
|
|
|
def symbol(harmony: dict) -> str:
|
|
if harmony['kind'] == 'none':
|
|
return 'N.C.'
|
|
suffix = harmony.get('kind_text', SUFFIXES.get(harmony['kind'], harmony['kind']))
|
|
if 'kind_text' not in harmony:
|
|
for d in harmony.get('degrees', []):
|
|
amount = alteration(d['alter'])
|
|
sign = '#' * max(int(amount), 0) + 'b' * max(int(-amount), 0) if amount.denominator == 1 else f'({amount})'
|
|
suffix += ('no' if d['type'] == 'subtract' else 'add' if d['type'] == 'add' and not sign else '') + sign + str(d['value'])
|
|
result = pitch_name(harmony['root']) + suffix
|
|
if bass := harmony.get('bass'):
|
|
result += '/' + pitch_name(bass)
|
|
return result
|
|
|
|
def parse_symbol(text: str) -> dict:
|
|
import re
|
|
match = re.fullmatch(r'([A-Ga-g][#b]*)([^/]*)(?:/([A-Ga-g][#b]*))?', text.strip())
|
|
if not match:
|
|
raise ValueError(f'invalid chord symbol: {text!r}')
|
|
root, suffix, bass = match.groups()
|
|
aliases = {'m': 'minor', 'min': 'minor', 'maj': 'major', 'M': 'major', 'm7': 'minor-seventh', 'm6': 'minor-sixth', 'm7b5': 'half-diminished', 'o': 'diminished', 'o7': 'diminished-seventh', 'aug': 'augmented', 'sus': 'suspended-fourth'}
|
|
aliases.update({v: k for k, v in SUFFIXES.items() if k not in ('other', 'pedal')})
|
|
core = suffix
|
|
changes = []
|
|
while core not in aliases:
|
|
m = re.search(r'(add|no)?([b#]?)(\d+)$', core)
|
|
if not m:
|
|
raise ValueError(f'unsupported chord spelling: {text!r}')
|
|
op, accidental, value = m.groups()
|
|
changes.insert(0, {'value': int(value), 'alter': 1 if accidental == '#' else -1 if accidental == 'b' else 0, 'type': 'subtract' if op == 'no' else 'add'})
|
|
core = core[:m.start()]
|
|
kind = aliases[core]
|
|
for d in changes:
|
|
if d['type'] == 'add' and d['value'] in KINDS[kind]:
|
|
d['type'] = 'alter'
|
|
result = {'root': parse_pitch_name(root), 'kind': kind, 'degrees': changes, 'kind_text': suffix}
|
|
if bass:
|
|
result['bass'] = parse_pitch_name(bass)
|
|
degrees(result)
|
|
return result
|