1925 Contents: Introduction; Numerical Value of Sounds; Numerical Value of Sounds Alphabetically Arranged; Planetary Periods; Planetary Hour Table; the Law Illustrated by the Records of Horse Racing; Practical Demonstrations Showing the Working of.

Number 10 Sound: The Musical Way 10 the Scientific Revolution is a collection of twelve essays by writers from the fields of musicology and the history of science. The essays show the idea of music held by Euro th pean intellectuals who lived from the second half of the 15 century to the th early 17 : physicians (e. g. Marsilio Ficino), scholars of musical theory (e. g. Gioseffo Zarlino, Vincenzo Galilei), natural philosophers (e. g. Fran cis Bacon, Isaac Beeckman, Marin Mersenne), astronomers and mathema ticians (e. g. Johannes Kepler, Galileo Galilei ). Together with other people of the time, whom the Reader will meet in the course of the book, these intellectuals share an idea of music that is far removed from the way it is commonly conceived nowadays: it is the idea of music as a science whose object-musical sound--can be quantified and demonstrated, or enquired into experimentally with the methods and instruments of modem scientific enquiry. In this conception, music to be heard is a complex, variable structure based on few simple elements--e. g. musical intervals-, com bined according to rules and criteria which vary along with the different ages. However, the varieties of music created by men would not exist if they were not based on certain musical models--e. g. the consonances-, which exist in the mind of God or are hidden in the womb of Nature, which man discovers and demonstrates, and finally translates into the lan guage of sounds.

How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.

This book presents a comprehensive review of how acoustic waves are processed by the auditory system into structured sounds such as musical melodies, speech utterances, or environmental sounds. After an introduction, an overview is given of how the ears distribute acoustic information over a large array of frequency channels that contain the auditory information used by the central nervous system to generate a mental image of what is happening around the listener. This process, called auditory scene analysis, consists of two stages. In the first stage, auditory units are formed such as musical tones and speech syllables. Each auditory unit is perceived at a well-defined moment in time, the beat location of that auditory unit. Moreover, from this process of auditory-unit formation, the auditory attributes of these auditory units emerge, such as their timbre, their pitch, their loudness, and their perceived location. Each of these attributes is discussed in the corresponding chapter. In the second stage of auditory scene analysis, auditory-stream formation, the successive auditory units are integrated into auditory streams, i.e., temporally structured sequences of auditory units that are perceived as emanating from one and the same sound source. Examples of such auditory streams are musical melodies and the utterances of one speaker. The temporal structure of an auditory stream, its rhythm, is determined by the beat locations of its auditory units. The role played by the auditory attributes of the consecutive auditory units is discussed. The melodies of musical streams and the intonation contours of spoken utterances emerge from this process. In music, the beats of parallel streams generally fit into a metric pattern, and, depending on harmony, simultaneous tones can be perceived as consonant or dissonant. Finally, the book contains many sound examples including the MATLAB scripts with which they are generated.

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