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25 Remote Warehouse Mathematics- Applied

Musical Temperaments with CDROM

by

Musical Temperaments with CDROM Cover

 

Synopses & Reviews

Publisher Comments:

This multimedia product (book) lets the reader investigate the mathematical foundations of musical tuning systems as theory and as audible experience. The embedded acoustical examples help to establish immediate connection between the formulas and the acoustical characteristics of different musical scales. The musical temperaments covered in the document are Pure, Pythagorean, Meantone, and Equal, the historically most important tuning systems. For each one of these temperaments the construction principles are explained in detail and with interactive visual aids, and whenever a mathematical formula for an interval is derived, this interval is made audible and can easily be compared with similar intervals in the different tuning systems. The sound examples in the multimedia version cover intervals, scales, and chords in the different tuning systems, and some examples even allow to listen to different scales simultaneously on the two channels of a stereo system. Besides being an introductory text with sound the document also contains a reference part which gives easy access to all the sound examples in a systematic way. The multimedia document can be used on any PC with Microsoft® Windows 95, 3.1 or 3.11 installed. Hardware requirement: 16-bit sound card, correctly installed in Windows.

Table of Contents

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

Product Details

ISBN:
9783211830406
Translator:
Steblin, R.
Author:
Steblin, R.
Author:
Neuwirth, E.
Author:
Neuwirth, Erich
Publisher:
Springer
Location:
Wien ;
Subject:
Applied
Subject:
Musical intervals and scales
Subject:
Music
Subject:
Theory
Subject:
Musical temperament.
Subject:
General Computers
Subject:
Instruction & Study - Theory
Subject:
music temperaments
Subject:
Mathematics-Applied
Subject:
Computers & Technology
Subject:
Computers and Education
Subject:
Mathematics - General
Copyright:
Edition Number:
1
Edition Description:
Softcover reprint of the original 1st ed. 1997
Publication Date:
20040304
Binding:
TRADE PAPER
Language:
English
Illustrations:
CD-ROM
Pages:
78
Dimensions:
9.55x6.53x.25 in. .40 lbs.

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Related Subjects

Arts and Entertainment » Music » Instruction and Study » Theory
Science and Mathematics » Mathematics » Applied

Musical Temperaments with CDROM New Trade Paper
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Product details 78 pages Springer-Verlag - English 9783211830406 Reviews:
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