ï~~Proceedings of the International Computer Music Conference (ICMC 2009), Montreal, Canada August 16-21, 2009 SYNAESTHETIC ANALYSIS, EXPLORING MUSIC STRUCTURES BY MULTIMEDIA REPRESENTATION. PROMETHEUSZ12, A NOVEL 3D VISUALIZATION TOOL. Paolo Tagliolato University degli Studi di Milano Dipartimento di Informatica e Comunicazione - Laboratorio di Informatica Musicale, Milan, Italy paolo. tagliolato@gmail. com ABSTRACT Visual representations have always been fundamental tools to communicate about music. While common music notation was for centuries the standard way to encode western music information, different visual representations were developed and exploited by music analysis. The importance of such representations lies in their great explanatory power. The real-time exhibition of visual models of music features joins together aesthetic and analytical perspectives, favoring the comprehension of analytic systems. In this article I present PrometheusZ12, a novel 3D visual representation tool for music, based on the concept of product GIS introduced by D. Lewin. As suggested by its name, a tribute to the synesthaetic explorations of A. Scriabin, the software involves Z12, the well known mathematical model of the pitch class space, providing the real-time geometrical rendering of the product extensions of Z12 with some rhythmic models. 1. INTRODUCTION. MULTIMEDIA REAL-TIME SYNAESTHETIC SYSTEMS: ART AND ANALYSIS Multimedia real-time association of visual aspects and sounds can be exploited from an aesthetic and artistic point of view. An early attempt in this direction is Scriabin's Prometheus (Symphony No.5, Op.60), in which colors and sounds are associated. More than a simple sort of choreography, the research of Prometheus originated from Scriabin's hypothesis about the existence of a synaesthetic correspondence among sounds, colors and emotions. Figure 1 b. presents this association on the circle of fifths. It is interesting to observe how this map makes use of enharmonic equivalence. [15] presents a picture (fig. 1 a.) of a light instrument used by Scriabin, which is precisely a 12 tone wheel whose pitch classes are colored light bulbs. On the other hand, the real-time exhibition of visual models of music features can be linked not only to aesthetic but it can also be regarded in an analytical perspective. E. Isaacson, in [6], outlined the importance of visual representations of music founded on analytical models, for their n F w U A! K E - _,-5-R _ -_-_-_-_-_- _-, =eo -K I._ --;1 4 9;o QF 6 - Mbo wc.o __ _ i r \ - Figure 1. a. Light instrument used by Scriabin (from [15]) b. Scriabin's map of sounds to colors and emotions, on the circle of fifths (from [16]) great explanatory power. It could be said that it is a case in which analysis and aesthetic are joined together. Tools which let this type of visualization can favor the comprehension of analytic systems. Moreover, they could help their learning. To learn the association between sound aggregates and forms is one of the basic aspects in instrumental apprenticeship, forms being in that case mental images which musicians must develop, like the positions (or configurations) of hands on their instrument. The automation of the movements to translate those mental images into instrumental gestures are the basis for learning an instrumental technique. Also music notation, in alternative to the CMN abstraction, historically made use of the configuration of hands on musical instruments: "intavolature per liuto" of Renaissance, guitar tablatures, organ tablatures used by the German Baroque organ school (see e.g.[17]) are some examples. The resorting to the description of physical configuration of the control interface of an instrument was also the practice adopted for notation by many electroacoustic composers. Coming back to analysis, music analysts like Allen Forte or David Lewin start from their listening experience, educated by theory and trained on geometric analogies. It is my opinion that real-time models could favor this analogical and synaesthetic training. 97
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