def rule_11(cp: stave.Stave, cd: stave.Stave): """Les croisements sont tolérés, employés avec une grande réserve""" cp_high_part = None for cp_n, cd_n in zip(cp.barIter(), cd.barIter()): if not (len(cp_n) == len(cd_n) == 1): raise error.CompositionError("Two notes are expected", cp_n, cd_n) cdn, cpn = cd_n[0], cp_n[0] if cp_high_part is None: cp_high_part = cpn.pitch.value.semitone > cdn.pitch.value.semitone if cpn.pitch.value.semitone != cdn.pitch.value.semitone else None else: if cp_high_part is True: if cdn.pitch.value.semitone > cpn.pitch.value.semitone: error.warn( "The melodies intersect: cantus firmus is now over the counterpoint", cp_n, cd_n) cp_high_part = False elif cp_high_part is False: if cpn.pitch.value.semitone > cdn.pitch.value.semitone: error.warn( "The melodies intersect: counterpoint is now over cantus firmus", cp_n, cd_n) cp_high_part = True else: assert cp_high_part is not None
def rule_15(s: stave.Stave): """Le contrepoint ne doit pas parcourir une étendue plus grande que la dixième et par exception la onzième.""" res = tools.min_max(s) min = res.min max = res.max if max.intervalWith(min) == 11: error.warn("The counterpoint can exceed the 11th by tolerance only.", *s.barIter()) if max.intervalWith(min) > 11: raise error.CompositionError( "It is strictly forbidden to exceed the 11th.", *s.barIter())
def rule_13(s: stave.Stave): """Lorsque la dominante du ton se trouve à la partie inférieure - et qu'elle a été précédée de l'accord du premier degré - il faut éviter de la combiner avec une sixte car cela donnerait le sentiment d'un accord de quarte et sixte, ce qui est défendu. Si elle permet de sous-entendre un autre accord, on peut l'employer""" """There is maybe a problem here: if the main scale is major, every switch to the relative minor will install it as the main scale and the program will never consider that the swith is finished since not pitch of the major is outside of the minor. Maybe we should consider that we return to the major scale each measure. WARNING""" current_scale = s.scale previous_chord = None for bar in s.barIter(): # change scale if necessary if bar[0].pitch not in current_scale or bar[ 1].pitch not in current_scale: current_scale = current_scale.relative(scale.Mode.m_full) notes = [scalenote.NoteScale(current_scale, n) for n in bar] n1, n2 = notes # generate chord first = chord.Chord(1, current_scale) # is it the first degree chord? if notes in first: previous_chord = notes continue if previous_chord is not None: # is it the dominant in the bass and an interval of sixth? low, high = (n1, n2) if n1 < n2 else (n2, n1) if low.isDominant and low.note.isInterval(6).With(high.note): raise error.CompositionError( "It is forbidden to use a tonic chord followed by a dominant at the bass and a sixth with the dominant", previous_chord, bar) # clean-up previous_chord = None
def rule_16(s: stave.Stave): """Le mouvement conjoint est celui qui convient le mieux au style du Contrepoint rigoureux. Employer le mouvement disjoint très discrètement.""" previous = None for bar in s.barIter(): if previous is not None and bar[0].pitch.intervalWith( previous[0].pitch) > 2: error.warn("It is better to avoid disjunct motion", previous, bar) previous = bar
def rule_7(s: stave.Stave): """Les intervalles formant consonance parfaites ou imparfaites avec le chant donné sont seuls employés""" for bar in s.barIter(): if len(bar) != 2: raise error.CompositionError("Two notes expected", bar) ft, sd = bar[0].pitch, bar[1].pitch if not ft.isConsonantWith(sd): raise error.CompositionError("The notes must be consonant", bar)
def rule_6(s: stave.Stave): """Le mouvement chromatique est défendu""" previous = None for elt in s.barIter(): note = elt[0] if previous is not None and previous[ 0].pitch.isChromaticInflectionWith(note.pitch): raise error.CompositionError("Chromatic inflection is forbidden", previous, elt) previous = elt
def rule_12(s: stave.Stave): """On ne doit moduler qu'aux tons relatifs""" sc = scale.Scale(s.keynote, s.mode) relative = sc.relative(scale.Mode.m_full) for bar in s.barIter(): note = bar[0] if note.pitch not in sc: if note.pitch not in relative: raise error.CompositionError( "It is forbidden to modulate outside the relative key", bar)
def rule_17(s: stave.Stave): """Les mouvements de quarte augmentée (triton), quinte dimininuée, de septième majeure et mineure sont défendus""" previous = None for bar in s.barIter(): if previous is not None and bar[0].pitch.isQualifiedInterval( (5, "diminished"), (4, "augmented"), (7, "minor"), (7, "major")).With(previous[0].pitch): raise error.CompositionError( "Melodic motion can't be a 4th augmented, 5th diminished, 7th minor or major", previous, bar) previous = bar
def rule_21(s: stave.Stave, ratio=5 / 20): """Employer de préférence les consonances imparfaites""" bars = [] for bar in s.barIter(): ft, sd = [util.to_pitch(n) for n in bar] if ft.isPerfectlyConsonantWith(sd): bars.append(bar) if len(bars) / len(s) > ratio: error.warn( "The number of perfect consonances is possibly higher than requested", *bars)
def rule_22(cp: stave.Stave, cf: stave.Stave): """À l'avant dernière mesure, on emploiera la sixte majeure lorsque le chant donné sera à la basse et la tierce mineure suivie de l'octave ou de l'unisson lorsqu'il sera à la partie supérieure""" # is the cantus firmus above or beyond? cp_above = None for cpn, cfn in zip(cp.barIter(), cf.barIter()): cpn, cfn = [util.to_pitch(n[0]) for n in (cpn, cfn)] if cpn != cfn: cp_above = cpn.value.step > cfn.value.step break assert cp_above is not None # check the before last one bar cpn = util.to_pitch(cp.getBar(cp.barNumber - 2)[0]) cfn = util.to_pitch(cf.getBar(cf.barNumber - 2)[0]) cp = cp.copy() cp.extend(cf) before_last_bar = cp.getBar(cp.barNumber - 2) if cp_above and not cfn.isQualifiedInterval((6, "major")): raise error.CompositionError( "The before last interval must be a 6th major", before_last_bar) elif not cp_above and not cfn.isQualifiedInterval((3, "minor")): raise error.CompositionError( "The before last interval must be a 3rd minor", before_last_bar)
def rule_9(s: stave.Stave): """Les notes ne peuvent pas êtres répétées plus d'une fois - on ne peut les faire entendre plus de deux fois de suite.""" nb = 0 previous = None for elt in s.barIter(): if elt.pos != 0 and elt[0].pitch == previous.pitch: nb += 1 else: nb = 0 if nb >= 2: raise error.CompositionError( "It is forbidden to use the same note more than two times in a row", elt) previous = elt[0]
def rule_1(s: stave.Stave): """ s is the main stave 1 - Le contrepoint se compose d'une partie en rondes combinée avec le Chant donné (en rondes) """ for nb, bar in enumerate(s.barIter()): # check that each bar contains only two notes if len(bar.elts) != 2: raise error.CompositionError("Number of breve should be two", bar) # check that each note is a breve if bar.elts[0].duration != bar.elts[1].duration and bar.elts[ 0].duration != note.Duration.SEMIBREVE: raise error.CompositionError("The notes are not breves", bar)
def rule_5(s: stave.Stave): """L'unisson est défendu dans le courant du contrepoint""" for elt in s.barIter(): #if elt.pos == 0 or elt.pos == s.lastFirstPos: if elt.pos in (0, s.barNumber - 1): # first and last interval can be unisons. continue if len(elt) != 2: raise error.CompositionError("Two notes are expected.", elt) if elt[0].pitch == elt[1].pitch: raise error.CompositionError( "Unison is forbidden inside the couterpoint", elt)
def rule_8(s: stave.Stave): """On ne doit pas entendre plus de trois tierces ou trois sixtes de suite""" _6 = _3 = 0 for bar in s.barIter(): if len(bar) != 2: raise error.CompositionError("Two notes expected", bar) f, s = bar[0].pitch, bar[1].pitch int_ = f.intervalWith(s, True) if int_ == 3: _3 += 1 _6 = 0 elif int_ == 6: _6 += 1 _3 = 0 else: _6 = _3 = 0 if 4 in (_6, _3): raise error.CompositionError( "It is forbidden to use more than three sixths or thirds in a row", bar)
def rule_18(s: stave.Stave): """Comme pour l'harmonie, le mouvement contraire est préférable à l'oblique, et ce dernier au direct""" movs = { motion.MotionType.direct: 0, motion.MotionType.contrary: 0, motion.MotionType.oblique: 0 } previous_bar = None for bar in s.barIter(): notes = [*bar] notes.sort(key=lambda x: x.pitch.value.semitone) if previous_bar is not None: movs[motion.MotionType.motion(*previous_bar, *notes)] += 1 previous_bar = [*notes] error.warn( f"Number of contrary movements: {movs[motion.MotionType.contrary]}; oblique movements: {movs[motion.MotionType.oblique]}; direct movements: {movs[motion.MotionType.direct]}. " ) error.warn( "Prefer the contrary movement to the oblique, and the oblique to the direct. " )
def rule_19(s: stave.Stave): """Ne jamais arriver sur une quinte ou une octave par mouvement direct. A priori, deux quintes ou deux octaves sont défendues.""" # 2 5th/8ve in a row previous = None for bar in s.barIter(): interval = bar[0].pitch.intervalWith(bar[1].pitch, True) if previous is not None and interval in (8, 5): if interval == previous: raise error.CompositionError( "Two 5th or two 8ve in a row is forbidden", previous_bar, bar) # direct motion? previous_notes = [*previous_bar] notes = [*bar] previous_notes.sort(key=_semitone) notes.sort(key=_semitone) if motion.MotionType.motion(*previous_notes, *notes) == motion.MotionType.direct: raise error.CompositionError( "It is forbidden to go to a 5th or an 8ve by direct motion", previous, bar) previous_bar = bar previous = interval
def rule_14(s: stave.Stave): """Pour la fausse relation de triton, la règle est la même qu'en harmonie : la fausse relation de triton est défendue.""" get_pitches = lambda b: sorted([util.to_pitch(x) for x in b], key=lambda x: x.value.semitone) old_high = None for i, bar in enumerate(s.barIter()): if len(bar) != 2: raise error.CompositionError("Two notes expected", bar) bass, high = get_pitches(bar) # check with last bar if old_high is not None and bass.isQualifiedInterval( (4, 'augmented')).With(old_high): raise error.CompositionError("False relation is forbidden", bar) # check with next bar if i + 1 < s.barNumber: next_bass, next_high = get_pitches(s.getBar(i + 1)) if bass.isQualifiedInterval((4, 'augmented')).With(next_high): raise error.CompositionError("False relation is forbidden", bar) # prepare next iteration old_high = high