Parsimonious Voice Leading and theStimmführungsmodelle
نویسندگان
چکیده
منابع مشابه
Generalized voice-leading spaces.
Western musicians traditionally classify pitch sequences by disregarding the effects of five musical transformations: octave shift, permutation, transposition, inversion, and cardinality change. We model this process mathematically, showing that it produces 32 equivalence relations on chords, 243 equivalence relations on chord sequences, and 32 families of geometrical quotient spaces, in which ...
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The total voice leading between sets X and Y is defined as the complete collection of ordered pc intervals formed between the pcs in X and the pcs in Y. These interval multisets (imultisets) describe the sonic signature of the motion from X to Y, and they always have the property of transpositional combination. In some cases, the same total voice leading may be produced by different pairs of X ...
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This paper describes a novel tool called VIVO (VIsual VOice-leading) that allows to visually define harmonic progressions and voice-leading rules. VIVO comprises of a compiler and a collection of specialized visualization devices. VIVO takes advantage of several music related applications collected under the umbrella of PWGL (PWGL is a free cross-platform visual programming language for music a...
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In this article, I consider two ways to model distance (or inverse similarity) between chord types, one based on voice leading and the other on shared interval content. My goal is to provide a contrapuntal reinterpretation of Ian Quinn’s work, which uses the Fourier transform to quantify similarity of interval content. The first section of the article shows how to find the minimal voice leading...
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Many problems concerning the theory and technology of rhythm, melody, and voice-leading are fundamentally geometric in nature. It is therefore not surprising that the field of computational geometry can contribute greatly to these problems. The interaction between computational geometry and music yields new insights into the theories of rhythm, melody, and voice-leading, as well as new problems...
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ژورنال
عنوان ژورنال: Music Theory Online
سال: 2018
ISSN: 1067-3040
DOI: 10.30535/mto.24.4.12