Aline K. Honingh

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It is well known that subsets of the two-dimensional space ¢ 2 can represent prominent musical and music-theoretical objects such as scales, chords and chord vocabularies. It has been noted that the major and minor diatonic scale form convex subsets in this space. This triggers the question whether convexity is a more widespread concept in music. This(More)
Pitch spelling addresses the question of how to derive traditional score notation from 12-tone pitch numbers or MIDI format. This paper proposes a pitch spelling algorithm that is based on only one principle: compactness in the Euler-lattice. The algorithm was evaluated on the first book of Bach's Well-tempered Clavier and had a success rate of 98.98 %. The(More)
In this paper we argue that the notion of music similarity should be expanded into sub-similarities, meaning that similarity of music has to be judged with respect to a certain context, such as melody, harmony, rhythm or timbre. We start by focusing on timbre similarity, restricted to the domain of Electronic Dance Music (EDM). We will assess the similarity(More)
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 {2 p 3 q 5 r |p,q,r ∈Z}. Considering only the intervals within one octave, an isomorphism with the 2-dimensional lattice Z 2 can be made. Plotting the intervals on the(More)
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