Systématique Modale

Amine Beyhom 1
1 CERMAA - Centre de Recherche sur les Musiques Arabes et Apparentées
Fondation pour la Recherche, la Documentation, le Filmage et la Conservation des Musiques et Arts
Abstract : Modal systematics is a new theory of modal music based on a model inspired by maqâm theories of the 2Oth century: the author expands the quarter-tone representation of modal structure developed mainly by Erlanger (1930ies) and integrates it into a global combinatory theory which allows numerous theoretical projections. The intervals of modal music are considered to be approximate multiples of the quarter-tone interval, within a range from one semi-tone to one and a half tone. Specific studies of pentatonic and heptatonic systems are carried, and a general model of scale generation is proposed in the thesis; the model brings new explanations of some fundamentals of music, particularly concerning the constitution of pentatonic and heptatonic scales: synoptical tables of modal scales of Arabian music are included, allowing further exploration of maqam structure; a number of intrinsic criteria of the building of the Arabian scales, never described before in specialized literature (to the knowledge of the author), are discovered using the modal systematics method - this specific research uses a combined genre-scale approach allowed by the modal systematics theory. Complementary studies of the maqam by the method emphasize the possibilities of traditional modulation and present new, alternative scales, for composers. The appendix proposes an exhaustive list of potential modal combinations of musical intervals (4795 modal scales), allowing a comparative study between different types of music. The theory of modal systematics still has many domains to explore, including specific characteristics of maqam music and extensions to other musics of the world: it may be used in such various domains as ancient Greek music, Indian music or even music with less obvious connection to Arabian maqam ; the model based on quarter-tone approximation can also be extended to 1/8 tone or any other integral division of the octave.
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  • HAL Id : tel-01511710, version 1

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Amine Beyhom. Systématique Modale. Musique, musicologie et arts de la scène. Université Sorbonne - Paris IV, 2003. Français. ⟨tel-01511710⟩

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