def resolveAugmentedSixthSegment(self, segmentB):
'''
Can resolve a Segment whose :attr:`~music21.figuredBass.segment.Segment.segmentChord`
spells out a
French, German, or Swiss augmented sixth chord. Italian augmented sixth Segments
are solved as an
ordinary Segment using :meth:`~music21.figuredBass.possibility.couldBeItalianA6Resolution`.
If no
applicable method in :mod:`~music21.figuredBass.resolution` can be used, the Segment
is resolved
as an ordinary Segment.
>>> from music21.figuredBass import segment
>>> from music21 import note
>>> segmentA = segment.Segment(bassNote = note.Note("A-2"), notationString = "#6,b5,3")
>>> segmentA.pitchNamesInChord # spell out a Gr+6 chord
['A-', 'C', 'E-', 'F#']
>>> allAugSixthPossib = segmentA.allCorrectSinglePossibilities()
>>> allAugSixthPossibList = list(allAugSixthPossib)
>>> len(allAugSixthPossibList)
7
>>> allAugSixthPossibList[1]
(<music21.pitch.Pitch C4>, <music21.pitch.Pitch F#3>, <...E-3>, <...A-2>)
>>> allAugSixthPossibList[4]
(<music21.pitch.Pitch C5>, <music21.pitch.Pitch F#4>, <...E-4>, <...A-2>)
>>> segmentB = segment.Segment(bassNote = note.Note("G2"), notationString = "")
>>> allAugResPossibPairs = segmentA.resolveAugmentedSixthSegment(segmentB)
>>> allAugResPossibPairsList = list(allAugResPossibPairs)
>>> len(allAugResPossibPairsList)
7
>>> allAugResPossibPairsList[1]
((<...C4>, <...F#3>, <...E-3>, <...A-2>), (<...B3>, <...G3>, <...D3>, <...G2>))
>>> allAugResPossibPairsList[4]
((<...C5>, <...F#4>, <...E-4>, <...A-2>), (<...B4>, <...G4>, <...D4>, <...G2>))
'''
augSixthChord = self.segmentChord
if not augSixthChord.isAugmentedSixth():
#Put here for stand-alone purposes.
raise SegmentException(
"Augmented sixth resolution: Not an augmented sixth Segment.")
if augSixthChord.isItalianAugmentedSixth():
return self._resolveOrdinarySegment(segmentB)
elif augSixthChord.isFrenchAugmentedSixth():
augSixthType = 1
elif augSixthChord.isGermanAugmentedSixth():
augSixthType = 2
elif augSixthChord.isSwissAugmentedSixth():
augSixthType = 3
else:
self._environRules.warn(
"Augmented sixth resolution: " +
"Augmented sixth type not supported. Executing ordinary resolution."
)
return self._resolveOrdinarySegment(segmentB)
tonic = resolution._transpose(augSixthChord.bass(), 'M3')
majorScale = scale.MajorScale(tonic)
#minorScale = scale.MinorScale(tonic)
resChord = segmentB.segmentChord
augSixthChordInfo = _unpackSeventhChord(augSixthChord)
augmentedSixthResolutionMethods = [
((resChord.inversion() == 2 and resChord.root().name == tonic.name
and resChord.isMajorTriad()),
resolution.augmentedSixthToMajorTonic,
[augSixthType, augSixthChordInfo]),
((resChord.inversion() == 2 and resChord.root().name == tonic.name
and resChord.isMinorTriad()),
resolution.augmentedSixthToMinorTonic,
[augSixthType, augSixthChordInfo]),
((majorScale.pitchFromDegree(5).name == resChord.bass().name
and resChord.isMajorTriad()),
resolution.augmentedSixthToDominant,
[augSixthType, augSixthChordInfo])
]
try:
return self._resolveSpecialSegment(
segmentB, augmentedSixthResolutionMethods)
except SegmentException:
self._environRules.warn(
"Augmented sixth resolution: No proper resolution available. "
+ "Executing ordinary resolution.")
return self._resolveOrdinarySegment(segmentB)
def resolveAugmentedSixthSegment(self, segmentB):
'''
Can resolve a Segment whose :attr:`~music21.figuredBass.segment.Segment.segmentChord`
spells out a
French, German, or Swiss augmented sixth chord. Italian augmented sixth Segments
are solved as an
ordinary Segment using :meth:`~music21.figuredBass.possibility.couldBeItalianA6Resolution`.
If no
applicable method in :mod:`~music21.figuredBass.resolution` can be used, the Segment
is resolved
as an ordinary Segment.
>>> from music21.figuredBass import segment
>>> from music21 import note
>>> segmentA = segment.Segment(bassNote = note.Note("A-2"), notationString = "#6,b5,3")
>>> segmentA.pitchNamesInChord # spell out a Gr+6 chord
['A-', 'C', 'E-', 'F#']
>>> allAugSixthPossib = segmentA.allCorrectSinglePossibilities()
>>> allAugSixthPossibList = list(allAugSixthPossib)
>>> len(allAugSixthPossibList)
7
>>> allAugSixthPossibList[1]
(<music21.pitch.Pitch C4>, <music21.pitch.Pitch F#3>, <...E-3>, <...A-2>)
>>> allAugSixthPossibList[4]
(<music21.pitch.Pitch C5>, <music21.pitch.Pitch F#4>, <...E-4>, <...A-2>)
>>> segmentB = segment.Segment(bassNote = note.Note("G2"), notationString = "")
>>> allAugResPossibPairs = segmentA.resolveAugmentedSixthSegment(segmentB)
>>> allAugResPossibPairsList = list(allAugResPossibPairs)
>>> len(allAugResPossibPairsList)
7
>>> allAugResPossibPairsList[1]
((<...C4>, <...F#3>, <...E-3>, <...A-2>), (<...B3>, <...G3>, <...D3>, <...G2>))
>>> allAugResPossibPairsList[4]
((<...C5>, <...F#4>, <...E-4>, <...A-2>), (<...B4>, <...G4>, <...D4>, <...G2>))
'''
augSixthChord = self.segmentChord
if not augSixthChord.isAugmentedSixth():
#Put here for stand-alone purposes.
raise SegmentException("Augmented sixth resolution: Not an augmented sixth Segment.")
if augSixthChord.isItalianAugmentedSixth():
return self._resolveOrdinarySegment(segmentB)
elif augSixthChord.isFrenchAugmentedSixth():
augSixthType = 1
elif augSixthChord.isGermanAugmentedSixth():
augSixthType = 2
elif augSixthChord.isSwissAugmentedSixth():
augSixthType = 3
else:
self._environRules.warn("Augmented sixth resolution: " +
"Augmented sixth type not supported. Executing ordinary resolution.")
return self._resolveOrdinarySegment(segmentB)
tonic = resolution._transpose(augSixthChord.bass(), 'M3')
majorScale = scale.MajorScale(tonic)
#minorScale = scale.MinorScale(tonic)
resChord = segmentB.segmentChord
augSixthChordInfo = _unpackSeventhChord(augSixthChord)
augmentedSixthResolutionMethods = [
((resChord.inversion() == 2 and
resChord.root().name == tonic.name and
resChord.isMajorTriad()),
resolution.augmentedSixthToMajorTonic, [augSixthType, augSixthChordInfo]),
((resChord.inversion() == 2 and
resChord.root().name == tonic.name and
resChord.isMinorTriad()),
resolution.augmentedSixthToMinorTonic,
[augSixthType, augSixthChordInfo]),
((majorScale.pitchFromDegree(5).name == resChord.bass().name and
resChord.isMajorTriad()),
resolution.augmentedSixthToDominant,
[augSixthType, augSixthChordInfo])
]
try:
return self._resolveSpecialSegment(segmentB, augmentedSixthResolutionMethods)
except SegmentException:
self._environRules.warn(
"Augmented sixth resolution: No proper resolution available. " +
"Executing ordinary resolution.")
return self._resolveOrdinarySegment(segmentB)