Analysis of musical notes of flute: A recurrence-based phase space approach

•Novel approach to assess the tone quality of the flute.•Introduces recurrence-based phase space analysis in studying musical notes.•Recurrence plot and recurrence network of various notes are analysed.•The topological measures are employed to assess the frequency purity of notes. Recurrence-based p...

Full description

Saved in:
Bibliographic Details
Published in:Chinese journal of physics (Taipei) 2023-06, Vol.83, p.113-122
Main Author: Sankararaman, S
Format: Article
Language:English
Subjects:
Flute
Harmonics
Phase portrait
Recurrence network
Recurrence plot
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•Novel approach to assess the tone quality of the flute.•Introduces recurrence-based phase space analysis in studying musical notes.•Recurrence plot and recurrence network of various notes are analysed.•The topological measures are employed to assess the frequency purity of notes. Recurrence-based phase space analysis of dynamical systems has emerged as an essential tool in unwrapping the behaviour of nonlinear systems. The paper delineates the potential of recurrence plot (RP) and recurrence network (RN) along with their topological measures in analysing musical notes played by the wind instrument, the flute. The sound signals of the notes C4, G4, C5, C6, and G6 are subjected to wavelet analysis to understand the frequency purity. Having understood the phase portrait, RP and RN are constructed, and their measures are computed to understand the quality of the note. The co-existence of several frequency components other than that of the notes gets reflected in the topology of the phase portrait, RP, and RN. This suggests the possible application of recurrence analysis in assessing the quality of musical instruments. [Display omitted]
ISSN:0577-9073
DOI:10.1016/j.cjph.2023.02.004