FOREWORD by Nelson Faria
PREFACE by the Author
WHO'S THIS BOOK FOR
HOW TO STUDY THIS BOOK
INTERVAL CLASSES
DIATONIC STEP
ACOUSTIC INTERVAL ROOT
INTERVAL GEOMETRY
CIRCLES (Chromatic and of Fifths)
CYCLES
DITONE CYCLE
SESQUITONE CYCLE
WHOLE TONE CYCLE
TRITONE
MAPPING THE GUITAR
GUITAR FRETBOARD (Notes in Standard Notation)
CHORD DIAGRAMS.
SCALE/CHORD DIAGRAMS
GUITAR FRETBOARD (notes in standard notation)
GUITAR FRETBOARD (notes on tablature)
FINGER POSITIONS
FIVE ACTIVITY AREAS (CAGED)
FRETBOARD (Set Theory View)
FRETBOARD (Intervallic View)
NOTATION CONVENTIONS
NUMBERING MELODIC DEGREES
NUMBERING HARMONIC DEGREES
DEGREE CONVENTIONS
CHORD SYMBOLS CONVENTION.
MODULATORY CHARACTERISTIC OF DIATONIC SCALE
CYCLE OF FIFTHS KEY SIGNATURES OF TONAL CENTERS
SCALE SUPERIMPOSITION
FUNCTIONAL HARMONY
FUNCTIONAL NOTATION
SUPERIMPOSITION OF THIRDS CHORD MODEL
TONAL SYSTEM - AXES
TONAL CYCLE / CHORD PROGRESSION
MAJOR TONALITY - FUNCTIONAL AXES
TONIC AXIS IN [C:]
DOMINANT AXIS in [C:]
TRITONE (LEADING TONES )
SUBDOMINANT AXIS in [C:]
MINOR TONALITY - FUNCTIONAL AXES
TONIC AXIS in [a:]
DOMINANT AXIS IN [a:]
SUBDOMINANT AXIS IN [a:]
SYMMETRICAL AXES
OCTATONIC DOMINANT AXIS
OCTATONIC DIMINISHED AXIS
WHOLE TONE DOMINANT AXIS
USUAL CHORD SYMBOLS RELATED TO HARMONIC FUNCTION
SCALE /FUNCTION RELATIONSHIP
CARDINALITY 3 - THREE NOTE CHORDS.
"A" TYPOLOGY - TRIADS
"B" TYPOLOGY - QUARTAL CHORDS
"C" TYPOLOGY - SEVENTH WITHOUT THE FIFTH CHORDS
"D" TYPOLOGY - SEVENTH WITHOUT THE THIRD CHORDS.
"E" TYPOLOGY - CLUSTERS (THREE NOTE SEGMENTS)
CARD 3 - TYPOLOGY
7-35 DIATONIC SCALE
7-32a HARMONIC MINOR SCALE
7-34 MELODIC MINOR SCALE
7-32b HARMONIC MAJOR SCALE
8-28 OCTATONIC SCALE
9-12 NONATONIC SCALE
AUXILIARY SCALES TYPOLOGIES
6-35 WHOLE TONE SCALE
6-20 AUGMENTED SCALE
TRICHORDS - GENERIC INTERVALS
TRICHORDS - GENERIC INTERVALS THROUGH DIATONIC STEPS
TRICHORDS - STEPS THROUGH SYMMETRICAL SCALES
TRICHORDS - STEPS THROUGH 8-28 OCTATONIC SCALE STEPS
TRICHORDS - STEPS THROUGH 9-12 NONATONIC SCALE STEPS
CARD 3 - THREE -NOTE CHORDS
CARDINALITY 4 - FOUR-NOTE CHORDS
"A" TYPOLOGY - SEVENTH CHORDS
"B" TYPOLOGY - QUARTAL CHORDS
"C" TYPOLOGY - TRIADS WITH AN ADDED NINTH OR IN THE BASS (SUS)
"D" TYPOLOGY - TRIADS WITH AN ADDED FOURTH OR IN THE BASS
"E" TYPOLOGY - T 3 7 + (9) FOUR-NOTE SEGMENTS
VOICING THEORY.
CLOSED POSITION CHORDS
OPEN POSITION CHORDS
DROP 2 VOICINGS
DROP 3 VOICINGS
STRING TRANSFERENCE
VOICINGS (SUMMARY TABLE )
THEORY OF GENERIC INTERVALS
TABLE OF GENERIC INTERVALS
GENERIC INTERVALS FORMULAE
GENERIC INTERVALS FORMULAE TABLE
CARD 4 - TYPOLOGY
7-35 DIATONIC SCALE
7-32a HARMONIC MINOR SCALE
7-34 MELODIC MINOR SCALE
7-32b HARMONIC MAJOR SCALE
8-28 OCTATONIC SCALE
9-12 NONATONIC SCALE
AUXILIARY SCALES TYPOLOGIES
WHOLE TONE SCALE
AUGMENTED SCALE
CARD 4 - FOUR-NOTE CHORDS
CARDINALITY 5 - TYPOLOGY
7-35 DIATONIC SCALE
7-34 MELODIC MINOR SCALE
7-32a HARMONIC MINOR SCALE
7-32b HARMONIC MAJOR SCALE
CARD 5 - MELODIC EXERCISES
PENTATONIC SUBSETS OF 8-28 SCALE
COMBINATORIAL VOICE LEADING OF HEXATONICS
Melodic and harmonic exercises
CADENCES AN D CHORD PROGRESSIONS
TONAL AXES
CADENTIAL GRAVITY
ALL TONAL CENTERS - FUNCTIONAL SUMMARY
CADENTIAL MODELS
LIST OF CADENTIAL MODELS
CONNECTING CADENTIAL MODELS
CHORD PROGRESSIONS
SAME CHORD TYPE THROUGH THE SESQUIDITONE CIRCLE
V-I THROUGH THE SESQUIDITONE CIRCLE
V-I THROUGH THE DITONE CYCLE
V-I THROUGH THE SESQUITONE CYCLE
V-I THROUGH THE WHOLE TONE CYCLE
II-V THROUGH THE SESQUIDITONE CIRCLE
HARMONIC PLURALITY
HARMONIC ANALYSIS
SECONDARY DOMINANTS
SECONDARY SUBV7
SECONDARY II - V
SECONDARY II - SubV7
EXTENDED DOMINANTS
INTERPOLATED CHORDS
ADJACENT II - V´s
MODAL INTERCHANGE
MODAL BORROWING
CHROMATIC MEDIANTS
DIMINISHED CHORDS
AUGMENTED CHORDS
SCALE FINGERINGS (GUITAR)
SCALE 7-35 (DIATONIC)
SCALE 7-32a (HARMONIC MINOR)
SCALE 7-32a (MEL ODIC MINOR)
SCALE 7-32b (HARMONIC MAJOR)
COMPOSITIONS
SONATA (to Ben Monder)
AINDANÃO (not yet)
serial matrix used on "ainda não " composition.
TECHNICAL APPENDIX (MUSICAL SET THEORY)
BASIC DEFINITIONS
PITCHES
PITCH CLASSES
CIRCULARITY
PITCH CLASS SETS
PRIME FORMS.
INTERVAL VECTOR
FORTE´S TABLE
REDUCING THE SCOPE
THE 3-1 SE T (0,1,2)
REMOVING THE 3-1 (0,1,2) THRICORD FROM THE SYSTEM
TABLE OF THE SETS WITHOUT THE 3-1 TRICHORD
SETS WITHOUT THE 3-1
End Notes
Pitch Class Sets Index
Audio Tracks Index