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Please use this identifier to cite or link to this item: https://repositorio.unb.br/handle/10482/12266
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Title: The computation of pitch with vectors
Authors: Arcela Júnior, Aluizio
Assunto:: Processamento de vetor (Computação)
Ondas sonoras - vibração
Cálculo vetorial
Issue Date: Sep-2008
Publisher: Sociedade Brasileira de Computação - UFRGS
Citation: ARCELA, Aluizio. The computation of pitch with vectors. Journal of the Brazilian Computer Society, Campinas, v. 14, n. 3, set., 2008. Disponível em: <http://www.scielo.br/scielo.php?pid=S0104-65002008000300006&script=sci_arttext>. Acesso em: 28 fev. 2013. http://dx.doi.org/10.1007/BF03192360
Abstract: A pitch model is proposed which is supported by a vector representation of tones. First, an algorithm capable of performing the vector addition of the spectral components of two-tone harmonic complexes is introduced which initially converts the amplitude, frequency, and phase (AFP) parameters into coordinates of the here introduced quotient, distance in octaves, and loudness (QOL) tone space. As QOL is isomorphic to the hue, saturation, and value (HSV) color space, a transformation from QOL to the red, green, and blue (RGB) vector space can be formulated so that the vector addition of two pure tones is conceived by analogy with color mixing operations. Since the QOL to RGB transformation is invertible, the resulting RGB vector sum can be transformed back to QOL. Then, by converting QOL coordinates back to AFP parameters, a tone is found whose frequency supposedly corresponds to the pitch evoked by the original two-tone complex. As for complexes having more than two components, the algorithm is to be sequentially applied to pairs of vectors in such a way that initially the first two vector tones are added together, then the resulting vector is added to the third vector tone, and so on.
Licença:: Journal of the Brazilian Computer Society - Esta obra está licenciada sob uma Licença Creative Commons ( Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)). Fonte: Fonte: http://www.scielo.br/scielo.php?pid=S0104-65002008000300006&script=sci_arttext. Acesso em: 28 fev. 2013.
DOI: http://dx.doi.org/10.1007/BF03192565
Appears in Collections:CIC - Artigos publicados em periódicos

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