A multi-level tonal interval space for modelling pitch relatedness and musical consonance

dc.contributor.author Gilberto Bernardes Almeida en
dc.contributor.author Diogo Miguel Cocharro en
dc.contributor.author Marcelo Freitas Caetano en
dc.contributor.author Carlos Guedes en
dc.contributor.author Matthew Davies en
dc.date.accessioned 2017-12-12T11:27:11Z
dc.date.available 2017-12-12T11:27:11Z
dc.date.issued 2016 en
dc.description.abstract In this paper we present a 12-dimensional tonal space in the context of the Tonnetz, Chew's Spiral Array, and Harte's 6-dimensional Tonal Centroid Space. The proposed Tonal Interval Space is calculated as the weighted Discrete Fourier Transform of normalized 12-element chroma vectors, which we represent as six circles covering the set of all possible pitch intervals in the chroma space. By weighting the contribution of each circle (and hence pitch interval) independently, we can create a space in which angular and Euclidean distances among pitches, chords, and regions concur with music theory principles. Furthermore, the Euclidean distance of pitch configurations from the centre of the space acts as an indicator of consonance. en
dc.identifier.uri http://repositorio.inesctec.pt/handle/123456789/3897
dc.identifier.uri http://dx.doi.org/10.1080/09298215.2016.1182192 en
dc.language eng en
dc.relation 5496 en
dc.relation 4947 en
dc.relation 6065 en
dc.relation 5414 en
dc.relation 6231 en
dc.rights info:eu-repo/semantics/openAccess en
dc.title A multi-level tonal interval space for modelling pitch relatedness and musical consonance en
dc.type article en
dc.type Publication en
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