Sound Colours from Classical Harmony to Dodecaphony

Beyond Major and Minor Scales, Elements of Musical Composition, Introduction to the Dodecaphonic System
Level 5

Instead of a Prologue
The diligent practice of musical parameters gives us that necessary discipline, which aims at the complete liberation of our creativity.
Michail Travlos [2020]

Contents
• Non-European modes and scales
• Hexatonic symmetrical scales (Whole tone scales)
• Double hexatonic with semitone transposition
• Three part exercise
• Hexatonic B (Symmetrical augmented hexatonic scale-Augmented scale)
Exercise
• Transposition of the symmetrical augmented hexatonic scale
Short example with five hexatonic scales
• The Tetrachords, Pentachords and Hexachords
The Tetrachords
The Pentachords and Hexachords
The Trichords and the Japanese Scales
• Five-string, six-string and eight-string Chinese scales
Example based on some of the above described scales
• Other symmetrical scales
Two Light Happenings (exerpt)
Fluido (excerpt)
Various four-tone, five-tone and six-tone chords
• Advanced level exercises
• Intervalic composition of a melodic line
Original melodic line (O-original or P-prime)
Chromatic inversion (Inversion) I
Backward direction (Retrograde) R
Backward direction+Chromatic inversion(Retrograde+Inversion) RI
A canon with Backward direction and Backward direction+Chromatic inversion (R+RI)
Exercises
• Transposition of a basic chordal lattice
• Excerpt from the work Fluido for string orchestra that makes use of chordal transposition
• Transposed sequence of two selected chords
• Transposed sequence of three selected chords
• Example of producing a chord progression with two chords
• Some Observations
Exercise
• Chord derivatives of a given melody from A and B
• Compositional application of the above harmonic column
Exercises
• Introduction to the twelve-tone technique
• The four forms of a twelve-tone series
• The permutation numbers
• Matrix Formation of 48 rows based on the initial layout
Exercises
• Expansion of a twelve-tone series
• Redefining a twelve-tone series
• Primary and secondary importance of tones
• Twelve-tone series notation with numbers
• Twelve-tone series conversions
• Extensions of a twelve-tone series
• Multiplicative transformation
• Rotation
• Twelve-tone series extensions
• Rroducing series from fTetrachords and Hexachords • Generation of a series from a hexachord consisting of two symmetrical trichords
• Division
• The time point system • Excerpts from the music literature
• List of works from the music literature
• Audio material list of musical examples