In order to map the spectral characteristics of the large variety of sounds a musical instrument may produce, different notes were performed and sampled in several intensity levels across the whole extension of a clarinet. Amplitude and frequency time-varying curves of partials were measured by Discrete Fourier Transform. A limited set of orthogonal spectral bases was derived by Principal Component Analysis techniques. These bases defined spectral sub-spaces capable of representing all tested sounds and of grouping them according to the distance metrics of the representation. A clustering algorithm was used to infer timbre classes. Preliminary tests with resynthesized sounds with normalized pitch showed a strong relation between the perceived timbre and the cluster label to which the notes were assigned. Self-Organizing Maps lead to results similar to those obtained by PCA representation and Kmeans clustering algorithm.
Mauricio A. Loureiro, Hugo B. De Paula, Hani C. Ye