Title

Estimating Jazz Standard Key and Form with Hidden Markov and Hidden Semi-Markov Models post EM Optimization

Document Type

Oral Presentation

Campus where you would like to present

Ellensburg

Event Website

https://digitalcommons.cwu.edu/source

Start Date

16-5-2021

End Date

22-5-2021

Keywords

Music, Probability, Optimization

Abstract

Hidden Markov and hidden semi-Markov models are utilized to predict structures of American jazz standard repertoire. Two separate relationships are explored. First, the 24 major and minor keys of the Western musical canon are designated as hidden states. Pairs of consecutive chord symbols represent observable emissions from those keys. HMM initial, emission, and transition parameters are defined by previous work on tonal relations, and optimized. Second, the bisectional nature of American jazz standards is parsed into two hidden states. Melodic pitch is used as an observable indicator. HMM and HSMM parameters (including duration) are semi-uniformly initiated, and optimized. The functionality of this project’s components are evaluated using ten jazz standards with key modulation and ten with bisectional form. Varying levels of accuracy are achieved. Discussion of use in digital cataloging/retrieval and for composition software is included, as well as an appendix of hidden-Markov statistical methods.

Faculty Mentor(s)

Sooie-Hoe Loke

Department/Program

Mathematics

Additional Mentoring Department

https://cwu.studentopportunitycenter.com/estimating-jazz-standard-key-and-form-with-hidden-markov-and-hidden-semi-markov-models-post-em-optimization/

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May 16th, 12:00 PM May 22nd, 12:00 PM

Estimating Jazz Standard Key and Form with Hidden Markov and Hidden Semi-Markov Models post EM Optimization

Ellensburg

Hidden Markov and hidden semi-Markov models are utilized to predict structures of American jazz standard repertoire. Two separate relationships are explored. First, the 24 major and minor keys of the Western musical canon are designated as hidden states. Pairs of consecutive chord symbols represent observable emissions from those keys. HMM initial, emission, and transition parameters are defined by previous work on tonal relations, and optimized. Second, the bisectional nature of American jazz standards is parsed into two hidden states. Melodic pitch is used as an observable indicator. HMM and HSMM parameters (including duration) are semi-uniformly initiated, and optimized. The functionality of this project’s components are evaluated using ten jazz standards with key modulation and ten with bisectional form. Varying levels of accuracy are achieved. Discussion of use in digital cataloging/retrieval and for composition software is included, as well as an appendix of hidden-Markov statistical methods.

https://digitalcommons.cwu.edu/source/2021/COTS/66