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Lattice for Musical Structure and Its Arithmetics
2007In this paper, we describe and discuss problems in terms of the music formalization framework that we are developing. Currently, we aim at building a contents design framework for ordinary people in a formal approach. Based on the knowledge representation technology, an art piece and contents are represented by a feature structure and the high-level ...
Keiji Hirata, Satoshi Tojo
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Partition lattices in the music of Milton Babbitt
2009This thesis explores how partitions and partition lattices can provide insight into small-scale and large-scale analytical relationships in several twelve-tone compositions by Milton Babbitt. Chapter 1 outlines the concept of partition lattices, as they have recently been described by Richard Kurth; summarizes the definitions and conventions of the ...
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International Journal of Engineering Science, 1992
Abstract The pure tone lattice is practically on the parallelogram enclosing 54 = 9 × 6 quanta with sides carrying 9 points at perfect fifth steps and 6 points at major third steps, respectively. Of these quanta the 54th is excluded owing to the limit of human auditory perception capacity.
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Abstract The pure tone lattice is practically on the parallelogram enclosing 54 = 9 × 6 quanta with sides carrying 9 points at perfect fifth steps and 6 points at major third steps, respectively. Of these quanta the 54th is excluded owing to the limit of human auditory perception capacity.
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Discrete lattices on the single bearing spiral: “Musical crystallography”
Symmetry: Culture and Science, 2022openaire +1 more source
Discrete lattices on the single bearing spiral: From botany to music
Symmetry: Culture and Science, 2020openaire +1 more source
Partition Lattices in Twelve-Tone Music: An Introduction
Journal of Music Theory, 1999openaire +1 more source
Chemical looping-based energy transformation via lattice oxygen modulated selective oxidation
Progress in Energy and Combustion Science, 2023Zhao Sun +2 more
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Tensor lattice field theory for renormalization and quantum computing
Reviews of Modern Physics, 2022Yannick Meurice +2 more
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