Title: Musical Analysis of Personal Scores and Post-Tonal Compositions
Abstract: The goal of this study is to explain the development of the post-tonal method of music composition established by the author (hal-05425426) and to provide concrete examples of its application. The main steps for applying the method are detailed, followed by harmonic and structural analyses of approximately twenty of the author's scores. For each score, the starting scale, its invariance properties under transformations (transposition or inversion), the exhaustive harmonic progressions it made possible, and the resulting overall musical structure are described. The initial compositions employed the pentatonic scale, the whole-tone scale, and subsequently Messiaen's modes of limited transposition. These scales were then diversified, with cardinalities ranging from five to nine, in order to demonstrate the generality and versatility of the method. The original scores are included in the Appendix. Although the resulting music is post-tonal, it remains highly accessible to the listener. The method can be readily applied to any scale within an n-tone equal temperament system; however, all the examples presented in this study use the 12-tone system. The examples and analyses should help potential users become familiar with the method and apply it effectively.