
Musical Temperaments
Translation by R. Steblin
Erich Neuwirth(Author)
Springer (Publisher)
Published on 22. December 1997
Book
Paperback/Softback
VII, 71 pages
978-3-211-83040-6 (ISBN)
Description
Preface What you are now 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 cannot offer this possibility. It serves therefore merely as a parallel study aid and guide and cannot 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 known that tones consist of periodically recurring phenomena, 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.
More details
Edition
Softcover reprint of the original 1st ed. 1997
Language
English
Place of publication
Vienna
Austria
Publishing group
Springer Wien
Target group
Professional and scholarly
Research
Illustrations
VII, 71 p. With online files/update.
Dimensions
Height: 240 mm
Width: 168 mm
Thickness: 6 mm
Weight
158 gr
ISBN-13
978-3-211-83040-6 (9783211830406)
DOI
10.1007/978-3-7091-6540-9
Schweitzer Classification
Persons
Content
Introduction and Fundamental Properties: Pitch and Frequency - Preliminary Remarks, Frequencies and Intervals. - Tuning Systems and Frequencies: Musical Scales in Different Tunings - Pure Tuning, Intervals and Triads in Pure Tuning, Pythagorean Tuning, Intervals and Triads in Pythagorean Tuning, Meantone Tuning, Intervals and Triads in Meantone Tuning, Equal Temperament (Tuning), Intervals and Triads in Equal Temperament (Tuning), Summary. - Appendices: Pictorial Explanations - Tables of Frequencies and Intervals - Operating Instructions - Glossary