Abstract

The study investigates musical compositions via quantification using mathematical methods. The investigation is based on Franz Schubert’s song cycle Die Winterreise, Robert Schumann’s song cycle Myrthen, and on works by other composers. The study obtained p-value estimates for each quantity to assess its adequacy and probability of getting reliable result. The obtained p-values show probability of obtaining corresponding mean value of the investigated parameters. The results will allow finding objective criteria for describing his work in comparison with the works of other composers. They are useful for restoring musical notations, analyzing and classifying works of unknown authorship.

Highlights

  • Classical pieces normally follow a set structure, barring those in the impromptu genre, and are divided into various musical forms

  • Musical forms or structures serve as certain frameworks of music compositions, which were well described in the past (GOMEZ et al, 2014; LIU et al, 2010)

  • This study found discrete distributions and p-values of specific integrates, and examined statistical relationships between these for Franz Schubert’s song cycle Die Winterreise, for compositions by Robert Schumann and by other composers of the Romantic era

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Summary

Introduction

Classical pieces normally follow a set structure, barring those in the impromptu genre, and are divided into various musical forms. Sonata and etude are among the most common forms in instrumental music (NG, 2012), whereas oratorio and cantata are more popular in vocal instrumental music (REYNOLDS, 2013; SMITHER, 2012). Pieces that belong to the impromptu genre originate in improvisation to demonstrate strong finder dexterity skills. Musical forms or structures serve as certain frameworks of music compositions, which were well described in the past (GOMEZ et al, 2014; LIU et al, 2010). Some forms may be similar in terms of tempo and tonality standards, there can be dramatic differences between compositions created during different historical periods. Each piece stands out with a special touch added to it by the composer.

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