Author: Julius John Vande KopplePublisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 162
Book Description
A Mathematical Theory of Musical Combination Tones
Author: Julius John Vande KopplePublisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 162
Book Description
The Mathematical Theory of Tone Systems
Author: Jan HaluskaPublisher: CRC Press
ISBN: 9780824747145
Category : Mathematics
Languages : en
Pages : 430
Book Description
The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of examples of past and prevalent tone systems are featured. Topics include Fuzziness and Sonance, Wavelets and Nonspecificity, Pitch Granulation and Ambiguity, Equal Temperaments, Mean Tone Systems. Well Tempered Systems, Ptolemy Systems, and more. Appendices include extended lists of tone systems and a catalogue of historical organs with subsemitones.
Music: A Mathematical Offering
Author: Dave BensonPublisher: Cambridge University Press
ISBN: 0521853877
Category : Mathematics
Languages : en
Pages : 426
Book Description
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Sound and music: a non-mathematical treatise on the physical constitution of musical sounds and harmony
Author: Sedley TaylorThe Theory of Beats and Combination Tones, 1700-1863
Author: Vaughn Carlton MaleyPublisher: Dissertations-G
ISBN:
Category : Science
Languages : en
Pages : 192
Book Description
The Topos of Music
Author: Guerino MazzolaPublisher: Birkhäuser
ISBN: 303488141X
Category : Mathematics
Languages : en
Pages : 1310
Book Description
With contributions by numerous experts
Sound and Music: a Non-mathematical Treatise on the Physical Constitution of Musical Sounds and Harmony
Author: Sedley TaylorMathematical Music Theory: Algebraic, Geometric, Combinatorial, Topological And Applied Approaches To Understanding Musical Phenomena
Author: Mariana MontielPublisher: World Scientific Publishing
ISBN: 9813235322
Category : Technology & Engineering
Languages : en
Pages : 371
Book Description
Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself.The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music.
On the Relations of Tone
Author: Martin VogelScience Abstracts
Author: Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 676
Book Description