Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations)

Abstract

In this article we formally introduce an original method, the purpose of which fundamentally lies in providing musicians with a reliable instrument that may effectively assist them in carrying out, as simply and intuitively as possible, the analysis of whatever chord progression, without resorting to the so-called "modal interchange". Net of a single exception (a routine named "structure reduction"), the whole method is based on a series of harmonic transformations. The above-mentioned transformations, named CAT (the acronym stands for Cataldo Advanced Transformations), turn out to be nothing but inverse chord substitutions characterized by specific conditions and restrictions. The method arises from the analysis of a considerable number of chord progressions, devoting particular (although not exclusive) attention to traditional jazz compositions: in this regard, it is worth highlighting how a significant improvement of CAT has been achieved by conducting an extremely thorough analysis of the so-called LEGO Bricks (public domain harmonic patterns).

Authors and Affiliations

Keywords

Related Articles

Analysis Mapping Logistic Processes of People Offshore Company located in Brazil

The present research had the objective of analyzing mapping personnel logistics process company located MacaƩ, Rio de Janeiro, Brazil, through the analysis of existing processes. The company chosen to be the source of th...

Public Management Focused to the Smart City

This study focuses on municipal management through information and communication technology in Smart City modeling. It presents a model for management of a Smart City with information technology resources to demonstrate...

Ergonomic Analysis and Application OWAS Method in a Mechanical Maintenance Shop of Thermoelectric Plant

The present work aims to develop an ergonomic analysis of the safety aspects of the mechanical maintenance workshop of the thermoelectric plant, located in the city of Campos dos Goytacazes. Note that it may serve as a s...

Effect of Deficit Irrigation and Root-Zone Drying Irrigation Technique under Different Nitrogen Rates on Water Use Efficiency for Potato (Solanum Tuberosum L.) in Semi-arid Conditions (I)

An investigation was carried out at the Technical Center of Potato and Artichoke CTPTA in the region of Saida, located in the lower valley of Medjerda river during the season of 2017. The objective was to evaluate the ef...

Synthesis of Silicon Nitride Ceramic Material using Direct Nitridation Process

Silicon nitride has been widely employed as one of the most important engineering ceramics for many practical applications due to their excellent properties such as high temperature resistance, low density, high corrosio...

Download PDF file
  • EP ID EP505969
  • DOI 10.22161/ijaers.5.5.29
  • Views 35
  • Downloads 0

How To Cite

(2018). Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations). International Journal of Advanced Engineering Research and Science, 5(5), -. https://europub.co.uk./articles/-A-505969