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Transformational Theory_TIGroup_nc.ttl
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Transformational Theory_TIGroup_nc.ttl
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@prefix pcs: <http://PitchClassSet.fun/> .
@prefix tig: <http://TIGroup.fun/> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#>.
pcs:Pc a owl:Thing .
pcs:Pitch rdfs:subClassOf pcs:Pc .
pcs:Ic a owl:Thing .
pcs:Interval rdfs:subClassOf pcs:Pci .
pcs:Pci rdfs:subClassOf pcs:Ic .
tig:transformation rdfs:subPropertyOf rdf:Property .
tig:transposition rdfs:subPropertyOf tig:transformation ;
a owl:TransitiveProperty .
tig:inversion rdfs:subPropertyOf tig:transformation .
pcs:Pci0 a pcs:Pci ;
owl:inverseOf pcs:Pci0 .
pcs:Pci1 a pcs:Pci ;
owl:inverseOf pcs:Pci11 .
pcs:Pci2 a pcs:Pci ;
owl:inverseOf pcs:Pci10 .
pcs:Pci3 a pcs:Pci ;
owl:inverseOf pcs:Pci9 .
pcs:Pci4 a pcs:Pci ;
owl:inverseOf pcs:Pci8 .
pcs:Pci5 a pcs:Pci ;
owl:inverseOf pcs:Pci7 .
pcs:Pci6 a pcs:Pci ;
owl:inverseOf pcs:Pci6 .
pcs:Pci7 a pcs:Pci ;
owl:inverseOf pcs:Pci5 .
pcs:Pci8 a pcs:Pci ;
owl:inverseOf pcs:Pci4 .
pcs:Pci9 a pcs:Pci ;
owl:inverseOf pcs:Pci3 .
pcs:Pci10 a pcs:Pci ;
owl:inverseOf pcs:Pci2 .
pcs:Pci11 a pcs:Pci ;
owl:inverseOf pcs:Pci1 .
tig:t0 a tig:transposition ;
tig:transposeBy pcs:Pci0 .
tig:t1 a tig:transposition ;
tig:transposeBy pcs:Pci1 .
tig:t2 a tig:transposition ;
tig:transposeBy pcs:Pci2 .
tig:t3 a tig:transposition ;
tig:transposeBy pcs:Pci3 .
tig:t4 a tig:transposition ;
tig:transposeBy pcs:Pci4 .
tig:t5 a tig:transposition ;
tig:transposeBy pcs:Pci5 .
tig:t6 a tig:transposition ;
tig:transposeBy pcs:Pci6 .
tig:t7 a tig:transposition ;
tig:transposeBy pcs:Pci7 .
tig:t8 a tig:transposition ;
tig:transposeBy pcs:Pci8 .
tig:t9 a tig:transposition ;
tig:transposeBy pcs:Pci9 .
tig:t10 a tig:transposition ;
tig:transposeBy pcs:Pci10 .
tig:t11 a tig:transposition ;
tig:transposeBy pcs:Pci11 .
tig:i0 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1 pcs:Pc0 ;
pcs:_PossibleAxis2 pcs:Pc6 ] .
tig:i1 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1
[ a rdf:Bag ;
pcs:_LowerPartOfAxis1 pcs:Pc0 ;
pcs:_UpperPartOfAxis1 pcs:Pc1 ] ;
pcs:_PossibleAxis2
[ a rdf:Bag ;
pcs:_LowerPartOfAxis2 pcs:Pc6 ;
pcs:_UpperPartOfAxis2 pcs:Pc7 ] ] .
tig:i2 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1 pcs:Pc1 ;
pcs:_PossibleAxis2 pcs:Pc7 ] .
tig:i3 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1
[ a rdf:Bag ;
pcs:_LowerPartOfAxis1 pcs:Pc1 ;
pcs:_UpperPartOfAxis1 pcs:Pc2 ] ;
pcs:_PossibleAxis2
[ a rdf:Bag ;
pcs:_LowerPartOfAxis2 pcs:Pc7 ;
pcs:_UpperPartOfAxis2 pcs:Pc8 ] ] .
tig:i4 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1 pcs:Pc2 ;
pcs:_PossibleAxis2 pcs:Pc8 ] .
tig:i5 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1
[ a rdf:Bag ;
pcs:_LowerPartOfAxis1 pcs:Pc2 ;
pcs:_UpperPartOfAxis1 pcs:Pc3 ] ;
pcs:_PossibleAxis2
[ a rdf:Bag ;
pcs:_LowerPartOfAxis2 pcs:Pc8 ;
pcs:_UpperPartOfAxis2 pcs:Pc9 ] ] .
tig:i6 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1 pcs:Pc3 ;
pcs:_PossibleAxis2 pcs:Pc9 ] .
tig:i7 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1
[ a rdf:Bag ;
pcs:_LowerPartOfAxis1 pcs:Pc3 ;
pcs:_UpperPartOfAxis1 pcs:Pc4 ] ;
pcs:_PossibleAxis2
[ a rdf:Bag ;
pcs:_LowerPartOfAxis2 pcs:Pc9 ;
pcs:_UpperPartOfAxis2 pcs:Pc10 ] ] .
tig:i8 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1 pcs:Pc4 ;
pcs:_PossibleAxis2 pcs:Pc10 ] .
tig:i9 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1
[ a rdf:Bag ;
pcs:_LowerPartOfAxis1 pcs:Pc4 ;
pcs:_UpperPartOfAxis1 pcs:Pc5 ] ;
pcs:_PossibleAxis2
[ a rdf:Bag ;
pcs:_LowerPartOfAxis2 pcs:Pc10 ;
pcs:_UpperPartOfAxis2 pcs:Pc11 ] ] .
tig:i10 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1 pcs:Pc5 ;
pcs:_PossibleAxis2 pcs:Pc11 ] .
tig:i11 a tig:inversion ;
tig:invertBy [ a rdf:Alt ;
pcs:_PossibleAxis1
[ a rdf:Bag ;
pcs:_LowerPartOfAxis1 pcs:Pc5 ;
pcs:_UpperPartOfAxis1 pcs:Pc6 ] ;
pcs:_PossibleAxis2
[ a rdf:Bag ;
pcs:_LowerPartOfAxis2 pcs:Pc11 ;
pcs:_UpperPartOfAxis2 pcs:Pc0 ] ] .
pcs:Pc0 a pcs:Pc ;
tig:t0 pcs:Pc0 ;
tig:t1 pcs:Pc1 ;
tig:t2 pcs:Pc2 ;
tig:t3 pcs:Pc3 ;
tig:t4 pcs:Pc4 ;
tig:t5 pcs:Pc5 ;
tig:t6 pcs:Pc6 ;
tig:t7 pcs:Pc7 ;
tig:t8 pcs:Pc8 ;
tig:t9 pcs:Pc9 ;
tig:t10 pcs:Pc10 ;
tig:t11 pcs:Pc11 ;
tig:i0 pcs:Pc0 ;
tig:i1 pcs:Pc1 ;
tig:i2 pcs:Pc2 ;
tig:i3 pcs:Pc3 ;
tig:i4 pcs:Pc4 ;
tig:i5 pcs:Pc5 ;
tig:i6 pcs:Pc6 ;
tig:i7 pcs:Pc7 ;
tig:i8 pcs:Pc8 ;
tig:i9 pcs:Pc9 ;
tig:i10 pcs:Pc10 ;
tig:i11 pcs:Pc11 .
pcs:Pc1 a pcs:Pc ;
tig:i0 pcs:Pc11 ;
tig:i1 pcs:Pc0 ;
tig:i10 pcs:Pc9 ;
tig:i11 pcs:Pc10 ;
tig:i2 pcs:Pc1 ;
tig:i3 pcs:Pc2 ;
tig:i4 pcs:Pc3 ;
tig:i5 pcs:Pc4 ;
tig:i6 pcs:Pc5 ;
tig:i7 pcs:Pc6 ;
tig:i8 pcs:Pc7 ;
tig:i9 pcs:Pc8 ;
tig:t0 pcs:Pc1 ;
tig:t1 pcs:Pc2 ;
tig:t10 pcs:Pc11 ;
tig:t11 pcs:Pc0 ;
tig:t2 pcs:Pc3 ;
tig:t3 pcs:Pc4 ;
tig:t4 pcs:Pc5 ;
tig:t5 pcs:Pc6 ;
tig:t6 pcs:Pc7 ;
tig:t7 pcs:Pc8 ;
tig:t8 pcs:Pc9 ;
tig:t9 pcs:Pc10 .
pcs:Pc2 a pcs:Pc ;
tig:i0 pcs:Pc10 ;
tig:i1 pcs:Pc11 ;
tig:i10 pcs:Pc8 ;
tig:i11 pcs:Pc9 ;
tig:i2 pcs:Pc0 ;
tig:i3 pcs:Pc1 ;
tig:i4 pcs:Pc2 ;
tig:i5 pcs:Pc3 ;
tig:i6 pcs:Pc4 ;
tig:i7 pcs:Pc5 ;
tig:i8 pcs:Pc6 ;
tig:i9 pcs:Pc7 ;
tig:t0 pcs:Pc2 ;
tig:t1 pcs:Pc3 ;
tig:t10 pcs:Pc0 ;
tig:t11 pcs:Pc1 ;
tig:t2 pcs:Pc4 ;
tig:t3 pcs:Pc5 ;
tig:t4 pcs:Pc6 ;
tig:t5 pcs:Pc7 ;
tig:t6 pcs:Pc8 ;
tig:t7 pcs:Pc9 ;
tig:t8 pcs:Pc10 ;
tig:t9 pcs:Pc11 .
pcs:Pc3 a pcs:Pc ;
tig:i0 pcs:Pc9 ;
tig:i1 pcs:Pc10 ;
tig:i10 pcs:Pc7 ;
tig:i11 pcs:Pc8 ;
tig:i2 pcs:Pc11 ;
tig:i3 pcs:Pc0 ;
tig:i4 pcs:Pc1 ;
tig:i5 pcs:Pc2 ;
tig:i6 pcs:Pc3 ;
tig:i7 pcs:Pc4 ;
tig:i8 pcs:Pc5 ;
tig:i9 pcs:Pc6 ;
tig:t0 pcs:Pc3 ;
tig:t1 pcs:Pc4 ;
tig:t10 pcs:Pc1 ;
tig:t11 pcs:Pc2 ;
tig:t2 pcs:Pc5 ;
tig:t3 pcs:Pc6 ;
tig:t4 pcs:Pc7 ;
tig:t5 pcs:Pc8 ;
tig:t6 pcs:Pc9 ;
tig:t7 pcs:Pc10 ;
tig:t8 pcs:Pc11 ;
tig:t9 pcs:Pc0 .
pcs:Pc4 a pcs:Pc ;
tig:i0 pcs:Pc8 ;
tig:i1 pcs:Pc9 ;
tig:i10 pcs:Pc6 ;
tig:i11 pcs:Pc7 ;
tig:i2 pcs:Pc10 ;
tig:i3 pcs:Pc11 ;
tig:i4 pcs:Pc0 ;
tig:i5 pcs:Pc1 ;
tig:i6 pcs:Pc2 ;
tig:i7 pcs:Pc3 ;
tig:i8 pcs:Pc4 ;
tig:i9 pcs:Pc5 ;
tig:t0 pcs:Pc4 ;
tig:t1 pcs:Pc5 ;
tig:t10 pcs:Pc2 ;
tig:t11 pcs:Pc3 ;
tig:t2 pcs:Pc6 ;
tig:t3 pcs:Pc7 ;
tig:t4 pcs:Pc8 ;
tig:t5 pcs:Pc9 ;
tig:t6 pcs:Pc10 ;
tig:t7 pcs:Pc11 ;
tig:t8 pcs:Pc0 ;
tig:t9 pcs:Pc1 .
pcs:Pc5 a pcs:Pc ;
tig:i0 pcs:Pc7 ;
tig:i1 pcs:Pc8 ;
tig:i10 pcs:Pc5 ;
tig:i11 pcs:Pc6 ;
tig:i2 pcs:Pc9 ;
tig:i3 pcs:Pc10 ;
tig:i4 pcs:Pc11 ;
tig:i5 pcs:Pc0 ;
tig:i6 pcs:Pc1 ;
tig:i7 pcs:Pc2 ;
tig:i8 pcs:Pc3 ;
tig:i9 pcs:Pc4 ;
tig:t0 pcs:Pc5 ;
tig:t1 pcs:Pc6 ;
tig:t10 pcs:Pc3 ;
tig:t11 pcs:Pc4 ;
tig:t2 pcs:Pc7 ;
tig:t3 pcs:Pc8 ;
tig:t4 pcs:Pc9 ;
tig:t5 pcs:Pc10 ;
tig:t6 pcs:Pc11 ;
tig:t7 pcs:Pc0 ;
tig:t8 pcs:Pc1 ;
tig:t9 pcs:Pc2 .
pcs:Pc6 a pcs:Pc ;
tig:i0 pcs:Pc6 ;
tig:i1 pcs:Pc7 ;
tig:i10 pcs:Pc4 ;
tig:i11 pcs:Pc5 ;
tig:i2 pcs:Pc8 ;
tig:i3 pcs:Pc9 ;
tig:i4 pcs:Pc10 ;
tig:i5 pcs:Pc11 ;
tig:i6 pcs:Pc0 ;
tig:i7 pcs:Pc1 ;
tig:i8 pcs:Pc2 ;
tig:i9 pcs:Pc3 ;
tig:t0 pcs:Pc6 ;
tig:t1 pcs:Pc7 ;
tig:t10 pcs:Pc4 ;
tig:t11 pcs:Pc5 ;
tig:t2 pcs:Pc8 ;
tig:t3 pcs:Pc9 ;
tig:t4 pcs:Pc10 ;
tig:t5 pcs:Pc11 ;
tig:t6 pcs:Pc0 ;
tig:t7 pcs:Pc1 ;
tig:t8 pcs:Pc2 ;
tig:t9 pcs:Pc3 .
pcs:Pc7 a pcs:Pc ;
tig:i0 pcs:Pc5 ;
tig:i1 pcs:Pc6 ;
tig:i10 pcs:Pc3 ;
tig:i11 pcs:Pc4 ;
tig:i2 pcs:Pc7 ;
tig:i3 pcs:Pc8 ;
tig:i4 pcs:Pc9 ;
tig:i5 pcs:Pc10 ;
tig:i6 pcs:Pc11 ;
tig:i7 pcs:Pc0 ;
tig:i8 pcs:Pc1 ;
tig:i9 pcs:Pc2 ;
tig:t0 pcs:Pc7 ;
tig:t1 pcs:Pc8 ;
tig:t10 pcs:Pc5 ;
tig:t11 pcs:Pc6 ;
tig:t2 pcs:Pc9 ;
tig:t3 pcs:Pc10 ;
tig:t4 pcs:Pc11 ;
tig:t5 pcs:Pc0 ;
tig:t6 pcs:Pc1 ;
tig:t7 pcs:Pc2 ;
tig:t8 pcs:Pc3 ;
tig:t9 pcs:Pc4 .
pcs:Pc8 a pcs:Pc ;
tig:i0 pcs:Pc4 ;
tig:i1 pcs:Pc5 ;
tig:i10 pcs:Pc2 ;
tig:i11 pcs:Pc3 ;
tig:i2 pcs:Pc6 ;
tig:i3 pcs:Pc7 ;
tig:i4 pcs:Pc8 ;
tig:i5 pcs:Pc9 ;
tig:i6 pcs:Pc10 ;
tig:i7 pcs:Pc11 ;
tig:i8 pcs:Pc0 ;
tig:i9 pcs:Pc1 ;
tig:t0 pcs:Pc8 ;
tig:t1 pcs:Pc9 ;
tig:t10 pcs:Pc6 ;
tig:t11 pcs:Pc7 ;
tig:t2 pcs:Pc10 ;
tig:t3 pcs:Pc11 ;
tig:t4 pcs:Pc0 ;
tig:t5 pcs:Pc1 ;
tig:t6 pcs:Pc2 ;
tig:t7 pcs:Pc3 ;
tig:t8 pcs:Pc4 ;
tig:t9 pcs:Pc5 .
pcs:Pc9 a pcs:Pc ;
tig:i0 pcs:Pc3 ;
tig:i1 pcs:Pc4 ;
tig:i10 pcs:Pc1 ;
tig:i11 pcs:Pc2 ;
tig:i2 pcs:Pc5 ;
tig:i3 pcs:Pc6 ;
tig:i4 pcs:Pc7 ;
tig:i5 pcs:Pc8 ;
tig:i6 pcs:Pc9 ;
tig:i7 pcs:Pc10 ;
tig:i8 pcs:Pc11 ;
tig:i9 pcs:Pc0 ;
tig:t0 pcs:Pc9 ;
tig:t1 pcs:Pc10 ;
tig:t10 pcs:Pc7 ;
tig:t11 pcs:Pc8 ;
tig:t2 pcs:Pc11 ;
tig:t3 pcs:Pc0 ;
tig:t4 pcs:Pc1 ;
tig:t5 pcs:Pc2 ;
tig:t6 pcs:Pc3 ;
tig:t7 pcs:Pc4 ;
tig:t8 pcs:Pc5 ;
tig:t9 pcs:Pc6 .
pcs:Pc10 a pcs:Pc ;
tig:i0 pcs:Pc2 ;
tig:i1 pcs:Pc3 ;
tig:i10 pcs:Pc0 ;
tig:i11 pcs:Pc1 ;
tig:i2 pcs:Pc4 ;
tig:i3 pcs:Pc5 ;
tig:i4 pcs:Pc6 ;
tig:i5 pcs:Pc7 ;
tig:i6 pcs:Pc8 ;
tig:i7 pcs:Pc9 ;
tig:i8 pcs:Pc10 ;
tig:i9 pcs:Pc11 ;
tig:t0 pcs:Pc10 ;
tig:t1 pcs:Pc11 ;
tig:t10 pcs:Pc8 ;
tig:t11 pcs:Pc9 ;
tig:t2 pcs:Pc0 ;
tig:t3 pcs:Pc1 ;
tig:t4 pcs:Pc2 ;
tig:t5 pcs:Pc3 ;
tig:t6 pcs:Pc4 ;
tig:t7 pcs:Pc5 ;
tig:t8 pcs:Pc6 ;
tig:t9 pcs:Pc7 .
pcs:Pc11 a pcs:Pc ;
tig:i0 pcs:Pc1 ;
tig:i1 pcs:Pc2 ;
tig:i10 pcs:Pc11 ;
tig:i11 pcs:Pc0 ;
tig:i2 pcs:Pc3 ;
tig:i3 pcs:Pc4 ;
tig:i4 pcs:Pc5 ;
tig:i5 pcs:Pc6 ;
tig:i6 pcs:Pc7 ;
tig:i7 pcs:Pc8 ;
tig:i8 pcs:Pc9 ;
tig:i9 pcs:Pc10 ;
tig:t0 pcs:Pc11 ;
tig:t1 pcs:Pc0 ;
tig:t10 pcs:Pc9 ;
tig:t11 pcs:Pc10 ;
tig:t2 pcs:Pc1 ;
tig:t3 pcs:Pc2 ;
tig:t4 pcs:Pc3 ;
tig:t5 pcs:Pc4 ;
tig:t6 pcs:Pc5 ;
tig:t7 pcs:Pc6 ;
tig:t8 pcs:Pc7 ;
tig:t9 pcs:Pc8 .