
The ''New System of Musical Theory'' (''french: Nouveau système de musique théorique)'' published in 1726, is the second
treatise
A treatise is a formal and systematic written discourse on some subject, generally longer and treating it in greater depth than an essay, and more concerned with investigating or exposing the principles of the subject and its conclusions."Treat ...
on musical theory written by the composer
Jean-Philippe Rameau
Jean-Philippe Rameau (; – ) was a French composer and music theory, music theorist. Regarded as one of the most important French composers and music theorists of the 18th century, he replaced Jean-Baptiste Lully as the dominant composer of Fr ...
.
Rameau wrote the work four years after the publication of his first theoretical work, the ''
Treatise on Harmony Reduced to its Natural Principles'' (french: Traité de l'harmonie réduite à ses principes naturels) (1722). The ''Treatise'' had expounded a theory based on the standard
Pythagorean tuning
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.Bruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: Mc ...
.
However, some time after publishing his ''Treatise'', Rameau became aware of the work of the scientist
Joseph Sauveur
Joseph Sauveur (24 March 1653 – 9 July 1716) was a French mathematician and physicist. He was a professor of mathematics and in 1696 became a member of the French Academy of Sciences.
Life
Joseph Sauveur was born in La Flèche, the son of a ...
who had described the phenomenon of