Max V. Mathews

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We present numerical methods for studying the relationship between the shape of the vocal tract and its acoustic output. For a stationary vocal tract, the articulatory-acoustic relationship can be represented as a multidimensional function of a multidimensional argument: y=f(x), where x, y are vectors describing the vocal-tract shape and the resulting(More)
This paper describes a new technique for the synthesis of musical sounds which we have named Scanned Synthesis. Scanned Synthesis is based on the psychoacoustics of how we hear and appreciate timbres and on our motor control (haptic) abilities to manipulate timbres during live performance. A unique feature of scanned synthesis is its emphasis on the(More)
A program which makes possible creating, storing, reproducing, and editing functions of time is described. The functions are typical of those generated by human beings. Multiple functions (up to 14) are produced for long periods of time (up to severol hours) at sufficiently high sampling rates to describe fast human reactions (up to 200 samples per second).(More)
We studied listeners' intonation sensitivity to traditional (major and minor) and nontraditional chords. The nontraditional chords have frequency ratios of 3:5:7 and 5:7:9 and, like the major chord, have coincident upper partials and unambiguous fundamental basses. The center tone only of each of these four triads was varied from its just (integer ratio)(More)
The programs which we will describe were developed to provide a practical system for editing and publishing text with a digital computer. The system consists of an electric typewriter, a computer, a cathode ray tube output unit, and a camera. Text and editorial instructions may be entered into the computer from the typewriter. The computer executes the(More)