John Wallis (1616-1703), was one of the foremost British mathematicians of the seventeenth century, and is also remembered for his important writings on grammar and logic. An interest in music theory led him to produce translations into Latin of three ancient Greek texts - those of Ptolemy, Porphyry and Bryennius - and involved him in discussions with Henry Oldenburg, the Secretary of the Royal Society, Thomas Salmon and other individuals as his ideas developed. The texts presented in this volume cover the relationship of ancient and modern tuning theory, the building of organs, the phenomena of resonance, and other musical topics.

This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier (these writings are the subject of Volume I). Later in his life Salmon devoted his attention to an exploration of the possible reform of musical pitch. He made or renewed contact with instrument-makers and performers in London, with the mathematician John Wallis, with Isaac Newton and with the Royal Society of London through its Secretary Hans Sloane. A series of manuscript treatises and a published Proposal to Perform Musick, in Perfect and Mathematical Proportions (1688) paved the way for an appearance by Salmon at the Royal Society in 1705, when he provided a demonstration performance by professional musicians using instruments specially modified to his designs. This created an explicit overlap between the spaces of musical performance and of experimental performance, as well as raising questions about the meaning and the source of musical knowledge similar to those raised in his work on notation. Benjamin Wardhaugh presents the first published scholarly edition of Salmon's writings on pitch, previously only available mostly in manuscript.

This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for proposing a radical reform of musical notation (these writings are the subject of Volume I). Later in his life Salmon devoted his attention to an exploration of the possible reform of musical pitch and raised questions about the meaning and the source of musical knowledge similar to those he raised in his work on notation. Benjamin Wardhaugh presents the first published scholarly edition of Salmon's writings on pitch, previously only available mostly in manuscript.

John Wallis (1616-1703), was one of the foremost British mathematicians of the seventeenth century, and is also remembered for his important writings on grammar and logic. An interest in music theory led him to produce translations into Latin of three ancient Greek texts - those of Ptolemy, Porphyry and Bryennius - and involved him in discussions with Henry Oldenburg, the Secretary of the Royal Society, Thomas Salmon and other individuals as his ideas developed. The texts presented in this volume cover the relationship of ancient and modern tuning theory, the building of organs, the phenomena of resonance, and other musical topics.

Includes section "Recent publications."