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This paper is the first step in thesolution of the problem of finite completion of comma-free codes.We show that every finite comma-free code is included in afinite comma-free code of particular kind, which we called, for lack of a better term, canonical comma-free code. Certainly, finite maximal comma-free codesare always canonical. The final step of the solution which consistsin proving further that every canonical comma-free code is completedto a finite maximal comma-free code, is intended to be published in a forthcomingpaper.
This paper illustrates the early period of electroacoustic music in Japan through an intensive examination of the source materials for historiography and analytical study, trying to illuminate the reception of Western techniques by Japanese composers, examining the rudiments of their original creative ideas. An extensive list of Japanese works with information about their accessible manuscripts, literature and available recordings is provided. All quotations from the articles or interviews in Japanese have also been translated into English by the author of this paper, unless otherwise stated. The graphic transcriptions presented in this paper have been produced by the author employing computerised spectrum analysis. The aim of this paper is to provide resources for further investigation into this topic, particularly for concerned researchers in other language regions than Japanese.
The majority of composers and scholars in the field of electroacoustic and computer music address their attention to the problem of achieving satisfactory relationships between new technological instrumentalities and the very sense of music making. Reflections concerning the relationships between the use of digital technologies and musical expression have assumed an increasingly important role, since they provide interpretative codes of composers' works and assume an explanatory function during the presentation of new musical pieces. Focusing on the interaction between cognitive environments, emotive dimensions and communicative set-up, this paper intends to propose an analysis of some theoretical statements, which regard the relationships between scientific innovations and the evolutionary tendencies of technologically based music.
We study the complexity of the infinite word uβ associated with theRényi expansion of 1 in an irrational base β > 1.When β is the golden ratio, this is the well known Fibonacci word,which is Sturmian, and of complexity C(n) = n + 1.For β such thatdβ(1) = t1t2...tm is finite we provide a simple description ofthe structure of special factors of the word uβ. When tm=1we show thatC(n) = (m - 1)n + 1. In the cases when t1 = t2 = ... tm-1ort1 > max{t2,...,tm-1} we show that the first differenceof the complexity function C(n + 1) - C(n ) takes value in{m - 1,m} for every n, and consequently we determine thecomplexity of uβ. We show thatuβ is an Arnoux-Rauzy sequence if and only ifdβ(1) = tt...t1. On the example ofβ = 1 + 2cos(2π/7), solution of X3 = 2X2 + X - 1, we illustratethat the structure of special factors is more complicated fordβ(1) infinite eventually periodic.The complexity for this word is equal to 2n+1.
Initially a result of talking heads, followed by the arrival of telephony and the gramophone, the use of artificial vocality within musical composition is becoming more and more common as different laboratories acquire devices enabling the manipulation of sound. Following Pierre Schaeffer's first experiments in Paris, many composers became interested in the expressive resources of the mechanical voice, the results of which are now present in a large corpus of electroacoustic works. By its very nature, artificial vocality establishes a new link between the vocal quality of a sound event (its vocality) and technology (its artificiality) within this type of music.
How then, can the musicologist study artificial vocality and the works in which it is used? Which tools should be used? What makes the analysis of artificial vocality so specific? Is it possible to create new tools for the analysis of artificial vocality within electroacoustic music?
In the search for answers to these questions, many difficulties present themselves. The first concerns the modes of representation and the methods used to analyse artificial vocality. On top of this, real reflection is needed concerning the disparity of technological tools used in analysis and the need for the application of a certain methodology in order to classify them. The starting point will be the establishment of a typology. Finally, the idea of being able to compare different representations of the same work using sophisticated tools will open the way to the discovery of new analytical approaches. Seeking freedom from the relative blindness caused by the over-specialisation and rigidity of technological tools is now an urgent necessity, particularly when considering artificial vocality.
‘Signed Listening’ is a project that was initiated by Ircam in the spring of 2003. Its goal is to develop computer tools that permit an expanded listening – whether it be for musical analysis, for composition or simply for its own sake with no specific goal in mind (via stereo or computer). This article will briefly present some hypotheses and objectives of the project, and how it touches issues relating, in particular, to electroacoustic music, as well as presenting examples taken from the early stages of our research.
This paper investigates one possible model of reversible computations, animportant paradigm in the context of quantum computing. Introduced byBennett, a reversible pebble game is anabstraction of reversible computation that allows to examine the space andtime complexity of various classes of problems. We present a techniquefor proving lower and upper bounds on time and space complexity for severaltypes of graphs. Using this technique we show that the time needed toachieve optimal space for chain topology is Ω(nlgn) for infinitelymany n and we discusstime-space trade-offs for chain. Further we show a tight optimalspace bound for the binary tree of height h of the form h + Θ(lg*h)and discuss space complexity for the butterfly. These results give anevidence that reversible computations need more resources than standardcomputations. We also show an upper bound on time and space complexity ofthe reversible pebble game based on the time and space complexity of thestandard pebble game, regardless of the topology of the graph.
A catalyst for the thinking in this paper is the way in which the concentrated direct audition of materials central to the process of electroacoustic composition can, in conjunction with powerful tools for the deconstruction and synthesis of sounds, influence the nature of musical relationships that are formed.
At any moment in the history of a particular culture, there exists a dominant paradigm, an idea in the air, that expresses the way the world works. These paradigms are general and their manifestations are interdisciplinary, first expressed as structures, relationships and processes in the avant gardes of all fields, then gradually accepted as a norm by almost everyone.
When, in 1998, I began my research into the analysis of electroacoustic music, analysis and representation were two distinct disciplines. One was an integral part of music research and the other was just a possible option for publication.
This paper introduces the ElectroAcoustic Resource Site project (EARS), taking a tripartite approach: first outlining the project's philosophy, then reporting on work-to-date and finishing with a discussion of the project's ambitions and aims.
The project's aim is the development of a dynamic, multi-lingual, international, publicly available Internet-based bibliographical resource designed to enhance the scholarly infrastructure of electroacoustic music studies, in particular, the musicology of electroacoustic music. Through the use of hypertext structures and linking systems the site will help to contextualise specific research within the broad field of electroacoustic music studies, as well as making helpful links between related areas/items of scholarship. The project aspires to assist access to current, past and evolving areas of scholarship and will attempt to redress certain imbalances in the ease of access to areas of research within the field. The project will strive to conceive of electroacoustic music in its widest possible sense, acknowledge the interdisciplinary nature of the field, and aspire to the greatest possible breadth and inclusiveness. The EARS project is coordinated by an international consortium, is directed by the authors and can be found at http://www.mti.dmu.ac.uk/EARS
The Museum of Music in Paris possesses a collection of 280 instruments from the twentieth century. Most of them belong to the general families of electric and electronic musical instruments, which we will call ‘electrophones’, in deference to the name chosen by Curt Sachs (1940). The instruments are gathered in families so that the whole collection illustrates the milestones of the twentieth century; for instance, the museum has a large set of diverse Ondes Martenot. However, due to its scarcity, the Trautonium is represented by one of Oscar Sala's Mixtur-Trautonia.
Like any museum, we have to encourage the conservation of this heritage. To maintain a large collection of electrophones like the one we have, a specific knowledge base has to be developed. We have been working on this aspect of the project for the past two years. From the onset, it was decided to start the collection with the Ondes Martenot. Our aim was to define a model approach that could also be applied to other electric and electronic instruments. This work involves organising the instruments, studying them in order to outline conditions of appropriate conservation, and determining which kind(s) of restoration should be undertaken.
A first step has been to gather all information necessary to understanding the instrument and its mode of performance. With this goal in mind, we have taken a complete inventory of our collection with the aim of coming up with a first assessment of the state of the instruments and determining whether to allow performers to play them. Thanks to this work, we were able to start taking precautionary measures against degradation; we are now also able to answer many questions relevant to the restoration and conservation of this collection.
Fifty years down the line, the analysis of computer music is still a very complex issue, highly dependent on the identity of computer music itself: the variety of software, the lack of a common musical notation for scores, the absence or presence of computer data. This has led to the emergence of a multitude of analytical methods, including aesthesical analysis, which approaches music from the point of view of perception, and poietical analysis, which pays attention to the creative process.
This study aims to combine these two methods of analysis in order to understand the relationship between technology and the actual piece of music. The article presents a methodological approach – focused on six pieces produced at IRCAM in Paris and at CSC in Padua, between 1975 and 1985 – via an in-depth consideration of Mauro Graziani's Winter leaves, a work conceived in 1980 at the CSC using Music360. The method used consists of comparing data collected using a diversity of practices: repeated listening, the tracing of graphical schematics, sonogram and spectrogram analysis, data listing analysis. An algorithm has also been created in order to calculate the degree to which the software is exploited and to enable a comparison between the different analyses. It is hoped that this procedure will combine traditional musicological methods with new approaches suited to the medium and grounded in a thorough knowledge of computer technology and musical environments.
This paper is a sequel to anearlier paper of the present author, in which it was proved thatevery finite comma-free code is embedded into a so-called (finite)canonical comma-free code. In this paper, it is proved that every(finite) canonical comma-free code is embedded into a finite maximal comma-freecode, which thus achieves the conclusion that every finite comma-freecode has finite completions.
The epipolar geometry is the intrinsic projective geometry between two views. It is independent of scene structure, and only depends on the cameras' internal parameters and relative pose.
The fundamental matrix F encapsulates this intrinsic geometry. It is a 3 × 3 matrix of rank 2. If a point in 3-space x′ is imaged as x in the first view, and x′ in the second, then the image points satisfy the relation x′TFx = 0.
We will first describe epipolar geometry, and derive the fundamental matrix. The properties of the fundamental matrix are then elucidated, both for general motion of the camera between the views, and for several commonly occurring special motions. It is next shown that the cameras can be retrieved from F up to a projective transformation of 3-space. This result is the basis for the projective reconstruction theorem given in chapter 10. Finally, if the camera internal calibration is known, it is shown that the Euclidean motion of the cameras between views may be computed from the fundamental matrix up to a finite number of ambiguities.
The fundamental matrix is independent of scene structure. However, it can be computed from correspondences of imaged scene points alone, without requiring knowledge of the cameras' internal parameters or relative pose. This computation is described in chapter 11.
Epipolar geometry
The epipolar geometry between two views is essentially the geometry of the intersection of the image planes with the pencil of planes having the baseline as axis (the baseline is the line joining the camera centres).
This chapter recapitulates the developments and objectives of the previous chapters on two-view geometry, but here with affine cameras replacing projective cameras. The affine camera is an extremely usable and well conditioned approximation in many practical situations. Its great advantage is that, because of its linearity, many of the optimal algorithms can be implemented by linear algebra (matrix inverses, SVD etc.), whereas in the projective case solutions either involve high order polynomials (such as for triangulation) or are only possible by numerical minimization (such as in the Gold Standard estimation of F).
We first describe properties of the epipolar geometry of two affine cameras, and its optimal computation from point correspondences. This is followed by triangulation, and affine reconstruction. Finally the ambiguities in reconstruction that result from parallel projection are sketched, and the non-ambiguous motion parameters are computed from the epipolar geometry.
Affine epipolar geometry
In many respects the epipolar geometry of two affine cameras is identical to that of two perspective cameras, for example a point in one view defines an epipolar line in the other view, and the pencil of such epipolar lines intersect at the epipole. The difference is that because the cameras are affine their centres are at infinity, and there is parallel projection from scene to image. This leads to certain simplifications in the affine epipolar geometry:
Epipolar lines. Consider two points, x1, x2, in the first view. These points backproject to rays which are parallel in 3-space, since all projection rays are parallel.