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"Five Limits Intervals- Theory & Praxis" (Zoran Šćekić)
"Five Limits Intervals- Theory & Praxis" (Zoran Šćekić)
Published: 2013., Zagreb
CONTENTS
CONTENTS
Chapter 1- Five limit intervals harmony- Abandoning the division of the octave - The unsustainability of the natural intervals inside a tonality - The necessity for micro intervals - "Toleration of the second and seventh" - Structure of the second and the boarder of intervals - Auxiliary rules
Chapter 2- Five limit intervals geometry- Geometrical constitution- 3D system- Use and notation
Chapter 3 - Compositions analyses - Chord groups - Twelve tone distribution- Syntonic shift - Modulations and fragments - Expanding the possibilities
Five pieces for solo piano in five limit Just intonation around F major - Turning instructions - "23.10." - "Autumn Phantasy of Martin the Mouse" - "Strong Man" - "Večernji Zvon" - " Jutranji Zvon"
"Mathematics & Music" (Zvonimir Šikić, Zoran Šćekić)
"Mathematics & Music" (Zvonimir Šikić, Zoran Šćekić)
("Matematika i Muzika", Publisher: Profil knjiga)
Published: 2013., Zagreb
CONTENTS
CONTENTS
Logarithmic representation of intervals in centiles / Equal division of the octave into twelve semitones (chromatic scale) / Circular arithmetic / Origin and characteristics of scales and modes
+ CD supplement
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