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The Undulatory Analysis

The Undulatory Analysis:
a morphological approach to musical analysis
Title: The Undulatory Analysis:
a morphological approach to musical analysis
Document: Doctoral thesis
Date of realization: 2010
University: Université Paris 1 Pantheon-Sorbonne

Sound examples


 

Models of some analized works

 The algoritmic model of the extract (21 bars)
of the begining of L. V. Beethoven's Fifth Symphony


 

Models of some analized works

 The algorithmic model of the part II Six small pieces
for piano opus 19 of Arnold Schönberg

 


 

The undulatory analysis and musical composition

 

The undulatory analysis method can be a useful tool for music composition. In the following example, the undulatory trajectory (see previous video) Part II of the six pieces for piano opus 19 A. Schoenberg, is used as a model for conducting an electronic part based computer generated sounds. The model-video presented below, displays real-time, each of the points of the wave trajectoria of the piece of Schönberg simultaneously with those generated by the trajectoria of the electronics module, called Cenon.

It can be checked in real time, as the workpiece passes, and the shape of both parts are equal. Here we demonstrate how -from any form, in this case the shape of the part II of Schönberg- can build a new building.

It is important to remember that only the wave trajectoria - how - the piano piece has been used. The other structures of the piano piece, how durations, dynamics, etc. They are not used in this new piece of music.

 

Forms (undulatory trajectories) of the second piece for piano opus 19
Arnold Schoenberg and Oswaldo Gonzalez Cenon
work for computer generated sounds

Oswaldo Gonzalez, Cenon for computer-generated sounds

 

Communication ( "paper") on this subject was presented by the author in 2016 in the
First Conference on Computer Simulation of musical creativity at the University of Hudderfield in England.

• Credits: The videos were made with the program i-Analysis • Pierre Couprie