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The Piagui Musical Scale: Perfecting Harmony

C. Mario Pizarro

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ISBN 10: 1418446556 / ISBN 13: 9781418446550
Editorial: AuthorHouse
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Hardcover. 196 pages. Dimensions: 9.1in. x 6.2in. x 1.0in.The Tempered scale proposed in 1482 as a practical solution to discords was only introduced and applied 240 years later by J. S. Bach. Since then, this scale has ruled the tone frequencies in all variety of chords. Due to its simple conception, small imperfections in harmony are unavoidable. Now a new musical scale is proposed, and this book details the new concepts and features and their application in the manufacture of musical instruments, to introduce the new sounds in harmony to the world market. The Natural Set of forty-seven elements was the beginning of the research. The M comma, the smallest consonance that can be distinguished by the ear, together with J and U, allowed the attainment of the Natural Progression of Musical Cells, while its 624 elements led to the discovery of K and P semitone factors to establish the Piagui octave. The proper sequence of eight K and four P replace the twelve T factors of the Tempered intonation. The origins of K and P are the ten tone frequencies found in the Pythagoras and Aristoxenus heptatonic scales. Piagui and Tempered chord wave peaks of basic twenty-four triads are drawn by computer to demonstrate the true concords and discords respectively. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. N° de ref. de la librería 9781418446550

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Detalles bibliográficos

Título: The Piagui Musical Scale: Perfecting Harmony

Editorial: AuthorHouse

Encuadernación: Hardcover

Condición del libro: New

Tipo de libro: Hardcover

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Sinopsis:

The Tempered scale proposed in 1482 as a practical solution to discords was only introduced and applied 240 years later by J. S. Bach. Since then, this scale has ruled the tone frequencies in all variety of chords. Due to its simple conception, small imperfections in harmony are unavoidable. Now a new musical scale is proposed, and this book details the new concepts and features and their application in the manufacture of musical instruments, to introduce the new sounds in harmony to the world market. The Natural Set of forty-seven elements was the beginning of the research. The M comma, the smallest consonance that can be distinguished by the ear, together with J and U, allowed the attainment of the Natural Progression of Musical Cells, while its 624 elements led to the discovery of K and P semitone factors to establish the Piagui octave. The proper sequence of eight K and four P replace the twelve T factors of the Tempered intonation. The origins of K and P are the ten tone frequencies found in the Pythagoras and Aristoxenus heptatonic scales. Piagui and Tempered chord wave peaks of basic twenty-four triads are drawn by computer to demonstrate the true concords and discords respectively.

About the Author:

C. Mario Pizarro's serious interest in music developed in his university years. He graduated in 1957 as an electrical engineer from the National Engineering University in Lima, Peru. He then studied Nuclear Reactor Control and Instrumentation at Philips International Institute in Eindhoven, Holland. In 1961, he became Chief of the Electronic Laboratory of the Peru Atomic Energy Control Board and in 1963 became Electronic Maintenance Engineer at NASA Satellite Tracking and Telemetry Station in Lima in cooperation with the Geophysical Institute of Peru. He later became Chief Engineer and Director for installing and bringing into operation the Air Traffic Control and telecommunication equipment at Peru's two leading international airports. He was also Professor for 15 years at the National Engineering University.www.geocities.com/piaguiscale/page.html

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