def pcSetTransposer(chord, trans):
"""transposes an entire set by trans. w/ mod12
will strip oct info, retain micro info
>>> pcSetTransposer([3,4,5], 3)
(6, 7, 8)
"""
newSet = []
for pc in chord:
newSet.append(pitchTools.pcTransposer(pc, trans))
return tuple(newSet)
def pcSetTransposer(chord, trans):
"""transposes an entire set by trans. w/ mod12
will strip oct info, retain micro info
>>> pcSetTransposer([3,4,5], 3)
(6, 7, 8)
"""
newSet = []
for pc in chord:
newSet.append(pitchTools.pcTransposer(pc, trans))
return tuple(newSet)
def psSetToMason(chord):
"""named after a music educator named Mason by Michael Gogins
convert any pitch space / class set to a 'mason' value
OR-ing, to be precise, mod 4095 (the total number of unordered
pitch-class sets in 12TET), not adding. In other words, a bit-field of 12
bits, one bit per pitch-class.
"""
newSet = []
for pc in chord:
pc = pitchTools.pcTransposer(pc, 0) # make mod 12
if pc not in newSet: # remove redundancies
newSet.append(pc)
mason = 0
for i in newSet:
mason = mason + pow(2, i)
return mason % 4095
def psSetToMason(chord):
"""named after a music educator named Mason by Michael Gogins
convert any pitch space / class set to a 'mason' value
OR-ing, to be precise, mod 4095 (the total number of unordered
pitch-class sets in 12TET), not adding. In other words, a bit-field of 12
bits, one bit per pitch-class.
"""
newSet = []
for pc in chord:
pc = pitchTools.pcTransposer(pc, 0) # make mod 12
if pc not in newSet: # remove redundancies
newSet.append(pc)
mason = 0
for i in newSet:
mason = mason + pow(2, i)
return mason % 4095
def extractNeighbors(pitchGroup, baseNote, scales=None):
"""takes a set, or a whole path, and derives a pc scale,
a pitch space scale, and provides the upper and lower note to
baseNote
baseNote should be represented in the pitch group
we need to know our current reference position in the pitchGroup
pitchGroup has pitch pre-temperament; thus baseNote should be
pre-temperament
may be a psReal
pitchGroup: from a refDict, containing stateCurrentChord, or statePathList
will be a list of raw psReal values: could be floats, and could have micro
specification
"""
# if scales given and no pitchGroup is given
if scales != None and pitchGroup == None:
colPitchSpace = scales[0]
colPitchClass = scales[1]
else: # given a set or path as pitchGroup
if drawer.isNum(pitchGroup[0]):
pitchGroup = [
pitchGroup,
] # make all look like paths
colPitchSpace = []
colPitchClass = []
for set in pitchGroup:
for entry in set:
if entry not in colPitchSpace:
colPitchSpace.append(entry)
# round; zero trans gets mod12
entryPC = pitchTools.pcTransposer(entry, 0)
if entryPC not in colPitchClass:
colPitchClass.append(entryPC)
colPitchSpace.sort()
colPitchClass.sort()
scales = colPitchSpace, colPitchClass
# use pitch class space to get neighbors
# can use pitch space in the future? wrap around is strange
octaveAdjust = 0
baseOctMult, basePC = pitchTools.splitOctPs(baseNote)
# although baseNote may be a float (already tempered)
# basePC seems to need to be an int, as it is used to find
# a position in the scale; for this reason it seems like
# the path positions value, and not the tempered pitch
# should be coming in as the baseNote: tmerperament could cause
# a rounding error and pass a pitch that is not in the scale at all
#print _MOD, basePC, colPitchClass
idx = None
try:
idx = colPitchClass.index(basePC)
except ValueError: # not in the collected pitches; try rounding
for i in range(len(colPitchClass)):
# compare rounded versions, as floats may not match
if round(colPitchClass[i], 2) == round(basePC, 2):
idx = i
# print _MOD, 'found rounded match'
if idx == None:
idx = 0
environment.printDebug(
'no match between base pitch and collected pitches')
idxL = idx - 1 # lower neighbor
if idxL == -1: # wrap index around
idxL = len(colPitchClass) - 1
octaveAdjust = -1
idxU = idx + 1 # upper neighbor
if idxU == len(colPitchClass):
idxU = 0
octaveAdjust = 1
neighborL = colPitchClass[idxL]
if octaveAdjust == -1:
neighborL = pitchTools.psTransposer(neighborL, -12)
neighborU = colPitchClass[idxU]
if octaveAdjust == 1:
neighborU = pitchTools.psTransposer(neighborU, 12)
# do octave adjust ment relative to baseNote in pitch space
neighborL = pitchTools.psTransposer(neighborL, (12 * baseOctMult))
neighborU = pitchTools.psTransposer(neighborU, (12 * baseOctMult))
lowerUpper = neighborL, neighborU
return scales, lowerUpper
def extractNeighbors(pitchGroup, baseNote, scales=None):
"""takes a set, or a whole path, and derives a pc scale,
a pitch space scale, and provides the upper and lower note to
baseNote
baseNote should be represented in the pitch group
we need to know our current reference position in the pitchGroup
pitchGroup has pitch pre-temperament; thus baseNote should be
pre-temperament
may be a psReal
pitchGroup: from a refDict, containing stateCurrentChord, or statePathList
will be a list of raw psReal values: could be floats, and could have micro
specification
"""
# if scales given and no pitchGroup is given
if scales != None and pitchGroup == None:
colPitchSpace = scales[0]
colPitchClass = scales[1]
else: # given a set or path as pitchGroup
if drawer.isNum(pitchGroup[0]):
pitchGroup = [pitchGroup, ] # make all look like paths
colPitchSpace = []
colPitchClass = []
for set in pitchGroup:
for entry in set:
if entry not in colPitchSpace:
colPitchSpace.append(entry)
# round; zero trans gets mod12
entryPC = pitchTools.pcTransposer(entry, 0)
if entryPC not in colPitchClass:
colPitchClass.append(entryPC)
colPitchSpace.sort()
colPitchClass.sort()
scales = colPitchSpace, colPitchClass
# use pitch class space to get neighbors
# can use pitch space in the future? wrap around is strange
octaveAdjust = 0
baseOctMult, basePC = pitchTools.splitOctPs(baseNote)
# although baseNote may be a float (already tempered)
# basePC seems to need to be an int, as it is used to find
# a position in the scale; for this reason it seems like
# the path positions value, and not the tempered pitch
# should be coming in as the baseNote: tmerperament could cause
# a rounding error and pass a pitch that is not in the scale at all
#print _MOD, basePC, colPitchClass
idx = None
try:
idx = colPitchClass.index(basePC)
except ValueError: # not in the collected pitches; try rounding
for i in range(len(colPitchClass)):
# compare rounded versions, as floats may not match
if round(colPitchClass[i], 2) == round(basePC, 2):
idx = i
# print _MOD, 'found rounded match'
if idx == None:
idx = 0
environment.printDebug('no match between base pitch and collected pitches')
idxL = idx - 1 # lower neighbor
if idxL == -1: # wrap index around
idxL = len(colPitchClass) - 1
octaveAdjust = -1
idxU = idx + 1 # upper neighbor
if idxU == len(colPitchClass):
idxU = 0
octaveAdjust = 1
neighborL = colPitchClass[idxL]
if octaveAdjust == -1:
neighborL = pitchTools.psTransposer(neighborL, -12)
neighborU = colPitchClass[idxU]
if octaveAdjust == 1:
neighborU = pitchTools.psTransposer(neighborU, 12)
# do octave adjust ment relative to baseNote in pitch space
neighborL = pitchTools.psTransposer(neighborL, (12 * baseOctMult))
neighborU = pitchTools.psTransposer(neighborU, (12 * baseOctMult))
lowerUpper = neighborL, neighborU
return scales, lowerUpper
