Instruments in Just Intonation

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Group Theoretic Description of Just Intonation

In this paper we present a group theoretic description of just intonation. All possible musical intervals belonging to 5-limit just intonation can be represented by the mathematical group {235|p,q,r ∈Z}. Considering only the intervals within one octave, an isomorphism with the 2-dimensional lattice Z can be made. Plotting the intervals on the lattice according to the isomorphism, we can identif...

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ژورنال

عنوان ژورنال: Nature

سال: 1891

ISSN: 0028-0836,1476-4687

DOI: 10.1038/044519d0