Page 1. MUSIC AND TECHNOLOGY IN THE TWENTIETH CENTURY Page 2. Page 3. Page 4. MUSIC AND HNOLOGY E... more Page 1. MUSIC AND TECHNOLOGY IN THE TWENTIETH CENTURY Page 2. Page 3. Page 4. MUSIC AND HNOLOGY ENTIETH NTURY EDITED BY BRAUN Technology has always been inseparable from the development of music. ...
This paper presents the Optimal Well-tempered Tun- ing system (OWT), a software application for c... more This paper presents the Optimal Well-tempered Tun- ing system (OWT), a software application for computing optimal tuning systems in real-time. The optimal tuning systems are created from a framework, proposed by us, that formalizes historical and cross-cultural criteria. The parameters of the system are a fixed number of pitches, a repeat factor, an ideal tuning set, and weights for keys
For the historian, time is not the undifferentiated "continuum" of the theoretical phys... more For the historian, time is not the undifferentiated "continuum" of the theoretical physicist, but a hierarchically ordered network of mo-ments, incidents, episodes, periods, epochs, eras, etc.-ie, time-spans whose conceptual "boundaries" are determined by the nature of the ...
Page 1. POSSIBLE AND IMPOSSIBLE MELODY: SOME FORMAL ASPECTS OF CONTOUR Larry Polansky and Richard... more Page 1. POSSIBLE AND IMPOSSIBLE MELODY: SOME FORMAL ASPECTS OF CONTOUR Larry Polansky and Richard Bassein Preface This paper explores some formal aspects of contour, especially the mathematics of an abstract definition of contour itself. ...
This paper discusses a compositional algorithm, important in many of the works of James Tenney, w... more This paper discusses a compositional algorithm, important in many of the works of James Tenney, which models a melodic principle known as dissonant counterpoint. The technique synthesizes two apparently disparate musical ideas-dissonant counterpoint and statistical feedbackand has a broad range of applications to music and other art forms which employ non-deterministic (i.e. randomized) methods. First, we describe the historical context of Tenney's interest in dissonant counterpoint, noting its connection to composer/theorist Charles Ames' ideas of statistical feedback in computer-aided composition. Next, we describe the algorithm in both intuitive and mathematical terms, and analyze its behavior and limiting cases via numerical simulations and rigorous proof. Finally, we describe specific examples and generalizations used in Tenney's music, and provide simple computer code for further experimentation.
N THIS PAPER WE PROPOSE a mathematical framework for the optimization of tuning systems. We begin... more N THIS PAPER WE PROPOSE a mathematical framework for the optimization of tuning systems. We begin with an informal definition of “tuning system.” We then propose five general constraints that seem common to their evolution. The central idea of this paper is the quantification of those constraints in terms of a set of numerical parameters. Given a choice of parameter values we use appropriate optimization methods to produce an optimal tuning for a specific set of values. Finally, we consider some historical and Javanese tunings from ...
... "@"is the Forth word ("fetch") for retrieving the content... more ... "@"is the Forth word ("fetch") for retrieving the contents of that variable. "!" is the Forth word ("store") for storing to a variable. ... ( store object's address in variable ) and later, elsewhere in the code: COOL-LICK-NEEDED? IF ( check to see if cool-lick-need is true? ...
Page 1. MUSIC AND TECHNOLOGY IN THE TWENTIETH CENTURY Page 2. Page 3. Page 4. MUSIC AND HNOLOGY E... more Page 1. MUSIC AND TECHNOLOGY IN THE TWENTIETH CENTURY Page 2. Page 3. Page 4. MUSIC AND HNOLOGY ENTIETH NTURY EDITED BY BRAUN Technology has always been inseparable from the development of music. ...
This paper presents the Optimal Well-tempered Tun- ing system (OWT), a software application for c... more This paper presents the Optimal Well-tempered Tun- ing system (OWT), a software application for computing optimal tuning systems in real-time. The optimal tuning systems are created from a framework, proposed by us, that formalizes historical and cross-cultural criteria. The parameters of the system are a fixed number of pitches, a repeat factor, an ideal tuning set, and weights for keys
For the historian, time is not the undifferentiated "continuum" of the theoretical phys... more For the historian, time is not the undifferentiated "continuum" of the theoretical physicist, but a hierarchically ordered network of mo-ments, incidents, episodes, periods, epochs, eras, etc.-ie, time-spans whose conceptual "boundaries" are determined by the nature of the ...
Page 1. POSSIBLE AND IMPOSSIBLE MELODY: SOME FORMAL ASPECTS OF CONTOUR Larry Polansky and Richard... more Page 1. POSSIBLE AND IMPOSSIBLE MELODY: SOME FORMAL ASPECTS OF CONTOUR Larry Polansky and Richard Bassein Preface This paper explores some formal aspects of contour, especially the mathematics of an abstract definition of contour itself. ...
This paper discusses a compositional algorithm, important in many of the works of James Tenney, w... more This paper discusses a compositional algorithm, important in many of the works of James Tenney, which models a melodic principle known as dissonant counterpoint. The technique synthesizes two apparently disparate musical ideas-dissonant counterpoint and statistical feedbackand has a broad range of applications to music and other art forms which employ non-deterministic (i.e. randomized) methods. First, we describe the historical context of Tenney's interest in dissonant counterpoint, noting its connection to composer/theorist Charles Ames' ideas of statistical feedback in computer-aided composition. Next, we describe the algorithm in both intuitive and mathematical terms, and analyze its behavior and limiting cases via numerical simulations and rigorous proof. Finally, we describe specific examples and generalizations used in Tenney's music, and provide simple computer code for further experimentation.
N THIS PAPER WE PROPOSE a mathematical framework for the optimization of tuning systems. We begin... more N THIS PAPER WE PROPOSE a mathematical framework for the optimization of tuning systems. We begin with an informal definition of “tuning system.” We then propose five general constraints that seem common to their evolution. The central idea of this paper is the quantification of those constraints in terms of a set of numerical parameters. Given a choice of parameter values we use appropriate optimization methods to produce an optimal tuning for a specific set of values. Finally, we consider some historical and Javanese tunings from ...
... "@"is the Forth word ("fetch") for retrieving the content... more ... "@"is the Forth word ("fetch") for retrieving the contents of that variable. "!" is the Forth word ("store") for storing to a variable. ... ( store object's address in variable ) and later, elsewhere in the code: COOL-LICK-NEEDED? IF ( check to see if cool-lick-need is true? ...
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