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Abstract
Author: Gabriele D'Angela
Journal: EUNOMIOS
Title: "Computational Jazz theory applied to Contemporary, Tonal and Atonal Guitar"

The aim of this book is to provide to the musician a way of approaching the vast pitch material that the chromatic palette of the well-tempered system can offer for the purpose of melodic and harmonic creation with a vision that emphasizes ulteriorly the development of chromaticism and formal aspects in musical improvisation and composition.

A fundamental step to gain technical control of these resources is the organization and the catalogization of the materials that cannot be static but must be dynamic.

According to this concept, the approach must include a computational capacity that consent a temporary and fast visualization of the permutation possibilities of the actual patterns the researcher is trying to develop and absorb.

This volume shows a first way, as an example, of approaching all the instrumental possibilities of patterns in K4 extracted from the chromatic/ pan diatonic system in C and a way of approaching through segmentation and permutation atonal improvisation starting with the investigation of 12 tone series and segmentation of the aggregates in patterns of K3. It means all the basic 4 notes patterns that can be found in all the possible modes of C, compressed in one octave.

I will also introduce in this volume some good procedures to start developing this vast material in an organized way. I will call these techniques melodic expansion techniques (MET).

An example of basic MET that will be introduced in this volume are: