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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 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)
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)
This report describes the digital humanities project on music similarity. The project is a collaboration between the University of Amsterdam and audio software company Elephantcandy. The project's aim was to investigate timbre and rhythm similarity and to develop an application that finds similar segments of music. In this report three models are described,(More)
This research investigates rhythmic similarity in Electronic Dance Music (EDM). Rhythm in EDM is built on the concept of a 'loop', a repeating pattern often associated with a four-measure percussive pattern. In our model, music tracks are segmented using a structural segmentation algorithm developed in previous research, and features are extracted from the(More)