dents studying transformation geometry musical composition had the same harmonic theory in common Schoenberg's system of serial composition sound Rule3 The original tone row, or the row ob- tained from rule 2, may be
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[PDF] harmonic sounds, geometrical transformations and composition
300 HARMONIC SOUNDS, GEOMETRICAL TRANSFORMATIONS AND COMPOSITION PROCESS IN J S BACH: A DIDACTIC PROPOSAL Daniela Galante
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5 mar 2012 · A Mathematical Model Integrating Synthesis of Sound and Graphical Patterns Copyright composing such patterns, and a thorough analysis of general themes and specific 2 1 10 The four basic looping patterns of a single geometric chuck as Fourier transform form polygons in the complex plane if we
GEOMETRIC TRANSFORMATIONS AND MUSICAL COMPOSITION
dents studying transformation geometry musical composition had the same harmonic theory in common Schoenberg's system of serial composition sound Rule3 The original tone row, or the row ob- tained from rule 2, may be
[PDF] Seminar Notes: The Mathematics of Music - Yale University
1 sept 2010 · Music is organized sound, and it is from this standpoint that we begin our study the violin also includes a very strong component at the second harmonic musical symmetries or transformations analogous to the geometric
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composing sound, fluctuating timbre, form, complexity, transformation, system, algorithmic Harmonic structure: how equally the partials are spaced principle of geometric series summation is already treated by Euclid in one of his Elements
[PDF] Gestural Composition with Arbitrary Musical Objects and - CORE
8 1 3 Dynamic Motives, Sound Synthesis, and Leap Motion 180 8 1 4 Recording “Review of Forte, The Harmonic Structure of the Rite of Spring” geometrical transformations of musical objects that could also be higher- dimensional
Sound–Sights An Interdisciplinary Project
worked with a professor and students of music composition of Alberti wrote that the rules for harmonic proportions in architecture should be interpret the transformations as geometrical transformations: transposing as translating in direction
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