2017年5月18日 · Throughout his life, the great mathematician Leonhard Euler spent most of his free time on music, to which he devoted his first book. This chapter discusses how he reformulated the ordering of musical intervals on a new mathematical basis.

Three specific principles of music Euler is assuming may be summarized as follows; details are given in the appendix. A tone 2 is a vibration in the air with a certain fixed frequency.

In this story, his musical writings open surprising perspectives. Euler stands in a long line of musical mathematicians, arguably reaching back to the Pythagoreans, who con-nected consonant musical intervals with simple ratios, such as the octave (2:1) and the perfect fifth (3:2).

2018年8月9日 · In the Tentamen, Euler developed an index to indicate the characteristics of different combinations of notes. It was a quantitative measure of the pleasantness of musical intervals and chords. He called it his Gradus Suavitatis, or Degree of Agreeableness. Gradus Suavitatis (GV) or Degree of Agreeableness.

This paper explores Leonhard Euler's contributions to music theory, detailing how his musical inquiries were intertwined with his mathematical developments.

2013年10月1日 · The music-theoretical formulations of the early modern mathematician Leonhard Euler (1707-83) are customarily remembered—and often dismissed—for their unconventional rankings of the consonances.

Abstract The music-theoretical formulations of the early modern mathematician Leonhard Euler (1707-83) are customarily remembered - and often dismissed - for their unconventional rankings of the consonances.

An excellent paper about Euler's music theory (and focusing on the Tentamen) by Patrice Bailhache at l'Université de Nantes is available in French and also in an English translation. (Professor Bailhace also has papers about the music theory of d'Alembert, Leibniz, and others available at his web site.)

Nevertheless the theory of music depends on two fundamentals, of which the first is present in the accurate recognition of sounds, so that it pertains properly to natural science, and has been set out well enough in the first chapter and beyond.

2018年12月10日 · Music Notation: Languages Gained, Lost, Remembered, Reclaimed Euler, Cowell, Polyhedra and the Music Genome Ragtime and Rhetoric: William Bolcom, "The Garden of Eden, III.