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Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations)
( Vol-5,Issue-5,May 2018 )
Author(s):

Carmine Cataldo

Keywords:

Music Algebra,Chord Progressions, Chord Substitutions, Plagal Cadence, Perfect Cadence, Jazz, Harmonization, Reduction, Diminished Substitutions, Expansion, Tritone, Secondary Dominants, Diatonic Substitutions, CAT.

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).

ijaers doi crossref DOI:

10.22161/ijaers.5.5.29

Paper Statistics:
  • Total View : 121
  • Downloads : 13
  • Page No: 224-227
Cite this Article:
MLA
Carmine Cataldo et al ."Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations)". International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)),vol 5, no. 5, 2018, pp.224-227 AI Publications, doi:10.22161/ijaers.5.5.29
APA
Carmine Cataldo(2018).Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations). International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)),5(5), 224-227. http://dx.doi.org/10.22161/ijaers.5.5.29
Chicago
Carmine Cataldo. 2018,"Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations)". International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)).5(5):224-227. Doi: 10.22161/ijaers.5.5.29
Harvard
Carmine Cataldo. 2018,Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations), International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)).5(5), pp:224-227
IEEE
Carmine Cataldo."Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations)", International Journal of Advanced Engineering Research and Science(ISSN : 2349-6495(P) | 2456-1908(O)),vol.5,no. 5, pp.224-227,2018.
Bibtex
@article {carminecataldo2018music,
title={Music Algebra: Harmonic Progressions Analysis and CAT (Cataldo Advanced Transformations)},
author={Carmine Cataldo},
journal={International Journal of Advanced Engineering Research and Science},
volume={5},
year= {2018},
}
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References:

[1] Cataldo, C. (2018). Extreme Chord Substitutions: a Qualitative Introduction to CAT (Cataldo Advanced Transformations) Journal of Science, Humanities and Arts (JOSHA), 5(4).
https://dx.doi.org/10.17160/josha.5.4.424
[2] Cork, C. (1988). Harmony by LEGO Bricks: A New Approach to the Use of Harmony in Jazz Improvisation. Leicester, United Kingdom: Tadley Ewing Publications.
[3] Cork, C. (2008). The New Guide to Harmony with LEGO Bricks. London: Tadley Ewing Publications.
[4] Cataldo, C. (2018). A Simplified Introduction to Music Algebra: from the Scale Vectors to the Modal Tensor. International Journal of Advanced Engineering Research and Science, 5(1), 111-113.
https://dx.doi.org/10.22161/ijaers.5.1.16
[5] Cataldo, C. (2018). Algebra Musicale: dai Vettori Scala al Tensore Modale - Music Algebra: from the Scale Vectors to the Modal Tensor. Journal of Science, Humanities and Arts (JOSHA), 5(1).
https://dx.doi.org/10.17160/josha.5.1.383
[6] Cataldo, C. (2018). Towards a Music Algebra: Fundamental Harmonic Substitutions in Jazz. International Journal of Advanced Engineering Research and Science, 5(1), 52-57.
https://dx.doi.org/10.22161/ijaers.5.1.9
[7] Cataldo, C. (2018). Jazz e Sostituzioni Armoniche: Verso un Nuovo Formalismo - Jazz and Harmonic Substitutions: Towards a New Formalism. Journal of Science, Humanities and Arts (JOSHA), 5(1).
https://dx.doi.org/10.17160/josha.5.1.381
[8] D’Errico, F. (2017). Armonia Funzionale e Modalità – Rudimenti per l'Improvvisazione a Indirizzo Jazzistico. Naples, Italy: Editoriale Scientifica.
[9] Levine, M. (2009). The Jazz Theory Book (Italian Edition by F. Jegher). Milan, IT: Curci Jazz.
[10] Lawn, R., Hellmer, J. L. (1996). Jazz: Theory and Practice. Los Angeles, CA: Alfred Publishing Co. Inc.
[11] Cataldo, C. (2017). The Art of Improvising: the Be-Bop Language and the Major Seventh Chords. Art and Design Review, 5, 222-229.
https://doi.org/10.4236/adr.2017.54018
[12] Cataldo, C. (2017). Il Linguaggio Be-Bop e gli Accordi di Settima di Quarta Specie [The Be-Bop Language and The Major Seventh Chords]. Journal of Science, Humanities and Arts (JOSHA), 4(4). https://dx.doi.org/10.17160/josha.4.4.341
[13] Cataldo, C., Martino, G. (2018). La Scala Maggiore Be-Bop: Definizione ed Utilizzo - The Be-Bop Major Scale: Definition and Usage. Journal of Science, Humanities and Arts (JOSHA), 5(2).
https://dx.doi.org/10.17160/josha.5.2.393