Preface What you are w reading is the written version of an electronic document that explains the mathematical principles for different musical temperaments. The electronic version contains many music examples that you can listen to while you are working with this document at a computer. The written version obviously cant offer this possibility. It serves therefore merely as a parallel study aid and guide and cant replace actually working with the electronic text. Musical Temperaments Contents * V II Contents Introduction and Fundamental Properties 1 Pitch and Frequency 1 Preliminary Remarks 1 Frequencies and Intervals 2 Tuning Systems and Frequencies 5 Musical Scales in Different Tunings 5 Pure Tuning 5 Intervals and Triads in Pure Tuning 12 Pythagorean Tuning 23 Intervals and Triads in Pythagorean Tuning 31 Meantone Tuning 34 Intervals and Triads in Meantone Tuning 39 Equal Temperament (Tuning) 42 Intervals and Triads in Equal Temperament (Tuning) 47 Summary 50 Appendices 53 Pictorial explanations 53 Tables of Frequencies and Intervals 54 Operating Instructions 62 Glossary 67 Musical Temperaments Introduction and Fundamental Properties * 1 Introduction and Fundamental Properties Pitch and Frequency Preliminary Remarks It is well kwn that tones consist of periodically recurring phemena, that is, beats repeating in a regular pattern. The number of repetitions of beats per second is measured in Hertz: 440 Hertz mean 440 beats per second. This number is also called the frequency of a beat.
Product Identifiers
Publisher
Springer Verlag Gmbh
ISBN-10
3211830405
ISBN-13
9783211830406
eBay Product ID (ePID)
96660839
Product Key Features
Author
Erich Neuwirth
Format
Mixed Media Product, Trade Paperback (US)
Language
English
Subject
Music & Dance
Dimensions
Weight
126g
Height
235mm
Width
155mm
Additional Product Features
Place of Publication
Vienna
Spine
4mm
Content Note
Biography
Translated by
R. Steblin
Prizes
Winner of European Academic Software Award 1996.
Date of Publication
01/01/1998
Contained Items Statement
Contains Paperback and CD-ROM
Edition Statement
Softcover Reprint of the Original 1st Edition 1997