Combinatorial Harmony: Concepts and Techniques for Composing and Improvising (Book/CD Set)
This book/CD set is a unique and complete system for exploring endless musical possibilities in any style. This book is a must for the contemporary musician. Despite being a guitar-friendly book with a complete mapping of the fretboard, the book is also useful for improvisers, arrangers, composers, theorists and students interested in the combinatorial approach to music. About 1,000 different voicings in all positions and drops are presented, including complete 3-note and 4-note voicings with specially desi ...more
Product Number:
30042BCD
Format:
Book/CD Set
Skill Level:
Multiple Levels
Notation Type:
Standard Notation and Tab
Pages:
312
Binding:
Perfect Binding
Size:
8.75 x 11.75
ISBN:
0-7866-8488-7
ISBN13:
978-07866-8488-5
Publisher:
Mel Bay Publications, Inc.
Date Published:
3/27/2013
This book/CD set is a unique and complete system for exploring endless musical possibilities in any style. This book is a must for the contemporary musician. Despite being a guitar-friendly book with a complete mapping of the fretboard, the book is also useful for improvisers, arrangers, composers, theorists and students interested in the combinatorial approach to music. About 1,000 different voicings in all positions and drops are presented, including complete 3-note and 4-note voicings with specially designed guitar diagrams. The book also includes all triad-pairs (hexatonics) and their combinations in melodic exercises. The book presents brand new "combinatorial voice-leading", for 21st century chorale writing and contrapuntal exploring for any instrument or arrangement. In 312 pages, the book provides a vast store of material for compositional and improvisational use.

 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  

 
Audio Sample
Series:
Combinatorial Harmony

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