Music :: a mathematical offering /
Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge :
Cambridge University Press,
2007.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between. |
Beschreibung: | 1 online resource (xiii, 411 pages) : illustrations (some color) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781139649254 1139649256 9780511811722 0511811721 9781139638791 1139638793 9781139641630 1139641638 |
Internformat
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504 | |a Includes bibliographical references and index. | ||
505 | 0 | |a Waves and harmonics -- Fourier theory -- A mathematician's guide to the orchestra -- Consonance and dissonance -- Scales and temperaments : the fivefold way -- More scales and temperaments -- Digital music -- Synthesis -- Symmetry in music. | |
520 | |a Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between. | ||
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Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn838102241 |
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adam_text | |
any_adam_object | |
author | Benson, D. J. (David J.), 1955- |
author_GND | http://id.loc.gov/authorities/names/n90722466 |
author_facet | Benson, D. J. (David J.), 1955- |
author_role | |
author_sort | Benson, D. J. 1955- |
author_variant | d j b dj djb |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | M - Music |
callnumber-label | ML3800 |
callnumber-raw | ML3800 .B46 2007eb |
callnumber-search | ML3800 .B46 2007eb |
callnumber-sort | ML 43800 B46 42007EB |
callnumber-subject | ML - Literature on Music |
classification_rvk | SK 990 |
collection | ZDB-4-EBA |
contents | Waves and harmonics -- Fourier theory -- A mathematician's guide to the orchestra -- Consonance and dissonance -- Scales and temperaments : the fivefold way -- More scales and temperaments -- Digital music -- Synthesis -- Symmetry in music. |
ctrlnum | (OCoLC)838102241 |
dewey-full | 781.2 |
dewey-hundreds | 700 - The arts |
dewey-ones | 781 - General principles and musical forms |
dewey-raw | 781.2 |
dewey-search | 781.2 |
dewey-sort | 3781.2 |
dewey-tens | 780 - Music |
discipline | Mathematik Musikwissenschaft |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn838102241 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:25:17Z |
institution | BVB |
isbn | 9781139649254 1139649256 9780511811722 0511811721 9781139638791 1139638793 9781139641630 1139641638 |
language | English |
oclc_num | 838102241 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xiii, 411 pages) : illustrations (some color) |
psigel | ZDB-4-EBA |
publishDate | 2007 |
publishDateSearch | 2007 |
publishDateSort | 2007 |
publisher | Cambridge University Press, |
record_format | marc |
spelling | Benson, D. J. (David J.), 1955- https://id.oclc.org/worldcat/entity/E39PCjxmpGdK88yyHVGmkpqG73 http://id.loc.gov/authorities/names/n90722466 Music : a mathematical offering / David J. Benson. Cambridge : Cambridge University Press, 2007. 1 online resource (xiii, 411 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. Includes bibliographical references and index. Waves and harmonics -- Fourier theory -- A mathematician's guide to the orchestra -- Consonance and dissonance -- Scales and temperaments : the fivefold way -- More scales and temperaments -- Digital music -- Synthesis -- Symmetry in music. Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between. Music Acoustics and physics. http://id.loc.gov/authorities/subjects/sh85088771 Music theory Mathematics. Musique Acoustique et physique. Théorie musicale Mathématiques. MUSIC Instruction & Study Theory. bisacsh Music Acoustics and physics fast Music theory Mathematics fast Akustik gnd http://d-nb.info/gnd/4000988-9 Mathematik gnd Musik gnd Musiktheorie gnd Physik gnd http://d-nb.info/gnd/4045956-1 Muziektheorie. gtt Wiskundige methoden. gtt Natuurkunde. gtt has work: Music (Text) https://id.oclc.org/worldcat/entity/E39PCGJ3H847hWkFt6rftGMxCP https://id.oclc.org/worldcat/ontology/hasWork Print version: Benson, D.J. (David J.), 1955- Music. Cambridge : Cambridge University Press, 2006 0521853877 (OCoLC)76935202 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=545649 Volltext |
spellingShingle | Benson, D. J. (David J.), 1955- Music : a mathematical offering / Waves and harmonics -- Fourier theory -- A mathematician's guide to the orchestra -- Consonance and dissonance -- Scales and temperaments : the fivefold way -- More scales and temperaments -- Digital music -- Synthesis -- Symmetry in music. Music Acoustics and physics. http://id.loc.gov/authorities/subjects/sh85088771 Music theory Mathematics. Musique Acoustique et physique. Théorie musicale Mathématiques. MUSIC Instruction & Study Theory. bisacsh Music Acoustics and physics fast Music theory Mathematics fast Akustik gnd http://d-nb.info/gnd/4000988-9 Mathematik gnd Musik gnd Musiktheorie gnd Physik gnd http://d-nb.info/gnd/4045956-1 Muziektheorie. gtt Wiskundige methoden. gtt Natuurkunde. gtt |
subject_GND | http://id.loc.gov/authorities/subjects/sh85088771 http://d-nb.info/gnd/4000988-9 http://d-nb.info/gnd/4045956-1 |
title | Music : a mathematical offering / |
title_auth | Music : a mathematical offering / |
title_exact_search | Music : a mathematical offering / |
title_full | Music : a mathematical offering / David J. Benson. |
title_fullStr | Music : a mathematical offering / David J. Benson. |
title_full_unstemmed | Music : a mathematical offering / David J. Benson. |
title_short | Music : |
title_sort | music a mathematical offering |
title_sub | a mathematical offering / |
topic | Music Acoustics and physics. http://id.loc.gov/authorities/subjects/sh85088771 Music theory Mathematics. Musique Acoustique et physique. Théorie musicale Mathématiques. MUSIC Instruction & Study Theory. bisacsh Music Acoustics and physics fast Music theory Mathematics fast Akustik gnd http://d-nb.info/gnd/4000988-9 Mathematik gnd Musik gnd Musiktheorie gnd Physik gnd http://d-nb.info/gnd/4045956-1 Muziektheorie. gtt Wiskundige methoden. gtt Natuurkunde. gtt |
topic_facet | Music Acoustics and physics. Music theory Mathematics. Musique Acoustique et physique. Théorie musicale Mathématiques. MUSIC Instruction & Study Theory. Music Acoustics and physics Music theory Mathematics Akustik Mathematik Musik Musiktheorie Physik Muziektheorie. Wiskundige methoden. Natuurkunde. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=545649 |
work_keys_str_mv | AT bensondj musicamathematicaloffering |