harmonic sounds, geometrical transformations and composition
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Harmonic Analysis in Mathematics
become part of harmonic analysis in mathematics interpreted in the broad sense above The general duality between geometric objects and spectral objects permeates mathematics It has a pervasive influence in such diverse areas as group theory topology differential geometry number theory and algebraic geometry as well as the |
| HARMONIC SOUNDS GEOMETRICAL TRANSFORMATIONS AND COMPOSITION |
What is a two-dimensional harmonic map?
A two-dimensional "harmonic map," obtained by an affine transformation of the melodic map, provides for optimally compact representations of chords and harmonic relations; it is isomorphic to the toroidal structure that Krumhansl and Kessler (1982) show to represent the psychological relations among musical keys.
How do harmonics affect the sound of a transformer?
The presence of harmonics in load current and voltage, most especially in rectifier transformers, can produce vibrations at twice the harmonic frequencies and thus a sizeable increase in the overall sound level of a transformer. Through several decades, the contribution of the load noise to the total transformer noise has remained moderate.
How do harmonics form?
Known as Landau damping, waves that pass through one another mostly transparently, avoiding a direct collision, are called 'avoided crossings.' In such cases, energy is exchanged in a 'parameter zone' where one wave pushes against another, creating a kind of spinning well or vortex action.
What is harmonic analysis in mathematics?
they are used in combination to create musical effects. Harmonic analysis in mathematics takes on a somewhat different meaning. It too has roots in music, or at least in the mathematical analysis of sound. However, the term can also mean a kind of universal duality that runs throughout mathematics, as well as other sciences.
Overtones harmonics and Additive synthesis
Composition of Transformations: Examples (Geometry Concepts)
The Geometry of Music
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Optimisation dun instrument de musique de type cuivre basée sur
9 mai 2019 resonator. The simulation uses the harmonic balance technique to computate sounds in permanent regime representative of the shape of the ... |
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La fluidité architecturale: histoire et actualité du concept
19 janv. 2017 La composition et la décomposition formelles : ... Fleury sur l'évolution des animaux implique la transformation d'une rondelle « molle » ... |
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Le maximalisme dans la Popular Music: Lexemple de King Crimson
22 avr. 2015 comme la norme préexistante à toute composition : […] the harmonic practices of rock while sharing many features with classical. |
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Méthodes algébriques dans la musique et la musicologie du XXème
3 janv. 2004 Les transformations élémentaires d'un ensemble de classes de ... siècle théorie musicale |
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Iannis Xenakis. La musique électroacoustique The electroacoustic
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Résumés
Réunion. 27-31 octobre 2014. Résumés de la RST2014. 6 Physique des roches topographique relativement ancien et exploité par les eaux d'infiltration. |
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GLOSSAIRE DE TERMINOLOGIE TECHNIQUE AUTOMOBILE
ADAPTATION COMPLÉMENTAIRE TRANSFORMATION VÉHICULE CERMET (COMPOSITION FRITTÉE MÉTAL-CÉRAMIQUE OU CÉRAMIQUE IMPRÉGNÉE DE MÉTAL) ... CONDUITE DE RÉUNION. |
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Untitled
30 sept. 2013 du Cursus de composition et d'informatique musicale ;. • démocratisation par la valorisation industrielle (Ircam Tools IrcaMax et licences) ... |
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Lexique des termes technique
analysis; composition analyse anchor ancre anchor fixation anti-noise backing material ... frais de transformation conversion factor. |
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Caractérisations acoustiques de structures vibrantespar mise en
31 janv. 2006 3 Méthode d'estimation utilisant une transformation de Hilbert ... ? Composition du document Il comporte deux parties : traitement de signal ... |
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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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The Harmonic Pattern Function - UCSB MAT - UC Santa Barbara
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 |
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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 |
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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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Timbral Movements in Electronic Music Composition - Institute of
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 |
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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 |
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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 |
