Foundations of diatonic theory: a mathematically based approach to music fundamentals
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Emeryville, CA
Key College Publ.
2003
|
| Schriftenreihe: | Mathematics across the curriculum
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 161-163) and index |
| Beschreibung: | xiii, 177 p. Ill., Notenbeisp. |
| ISBN: | 1930190808 |
Internformat
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| 245 | 1 | 0 | |a Foundations of diatonic theory |b a mathematically based approach to music fundamentals |c Timothy A. Johnson |
| 264 | 1 | |a Emeryville, CA |b Key College Publ. |c 2003 | |
| 300 | |a xiii, 177 p. |b Ill., Notenbeisp. | ||
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| 650 | 4 | |a Théorie musicale - Mathématiques - Manuels scolaires | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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| adam_text | Titel: Foundations of diatonic theory
Autor: Johnson, Timothy Alan
Jahr: 2003
CONTENTS
Preface vii
To the Instructor viii
Acknowledgments x
The Vision of Mathematics Across the Curriculum xiii
Introduction 1
Do You Have Any Questions? 1
Mathematics and Music 2
How to Use this Book 4
Chapter 1: Spatial Relations and Musical Structures 5
Spatial Relation Puzzles 5
Musical Structures from Geometrie Figures 15
An Intervallic Definition 26
Summary and Extensions 39
Chapter 2: Interval Patterns and Musical Structures 45
Diatonic Interval Patterns 45
Interval Patterns in Other Scales 68
Interval Patterns and the Circle of Fifths 81
Structure in Other Collections 97
Summary and Extensions 105
Chapter 3: Triads and Seventh Chords and Their Structures 109
From Collection to Chord 109
Maximally Even Triads and Seventh Chords 110
Variety and Multiplicity of Diatonic Chords 131
Summary and Extensions 143
Conclusion 145
Do We Now Have Any Answers? 145
For Further Study 149
Notes 155
Sources Cited 161
Index 165
|
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| dewey-hundreds | 700 - The arts |
| dewey-ones | 780 - Music |
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| discipline | Mathematik Musikwissenschaft |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:18:37Z |
| institution | BVB |
| isbn | 1930190808 |
| language | English |
| lccn | 2002075736 |
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| physical | xiii, 177 p. Ill., Notenbeisp. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Key College Publ. |
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| series2 | Mathematics across the curriculum |
| spelling | Johnson, Timothy A. Verfasser aut Foundations of diatonic theory a mathematically based approach to music fundamentals Timothy A. Johnson Emeryville, CA Key College Publ. 2003 xiii, 177 p. Ill., Notenbeisp. txt rdacontent n rdamedia nc rdacarrier Mathematics across the curriculum Includes bibliographical references (p. 161-163) and index Théorie musicale - Mathématiques - Manuels scolaires Mathematik Music theory Mathematics Textbooks Mathematik (DE-588)4037944-9 gnd rswk-swf Musiktheorie (DE-588)4040876-0 gnd rswk-swf Musiktheorie (DE-588)4040876-0 s Mathematik (DE-588)4037944-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010534981&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Timothy A. Foundations of diatonic theory a mathematically based approach to music fundamentals Théorie musicale - Mathématiques - Manuels scolaires Mathematik Music theory Mathematics Textbooks Mathematik (DE-588)4037944-9 gnd Musiktheorie (DE-588)4040876-0 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4040876-0 |
| title | Foundations of diatonic theory a mathematically based approach to music fundamentals |
| title_auth | Foundations of diatonic theory a mathematically based approach to music fundamentals |
| title_exact_search | Foundations of diatonic theory a mathematically based approach to music fundamentals |
| title_full | Foundations of diatonic theory a mathematically based approach to music fundamentals Timothy A. Johnson |
| title_fullStr | Foundations of diatonic theory a mathematically based approach to music fundamentals Timothy A. Johnson |
| title_full_unstemmed | Foundations of diatonic theory a mathematically based approach to music fundamentals Timothy A. Johnson |
| title_short | Foundations of diatonic theory |
| title_sort | foundations of diatonic theory a mathematically based approach to music fundamentals |
| title_sub | a mathematically based approach to music fundamentals |
| topic | Théorie musicale - Mathématiques - Manuels scolaires Mathematik Music theory Mathematics Textbooks Mathematik (DE-588)4037944-9 gnd Musiktheorie (DE-588)4040876-0 gnd |
| topic_facet | Théorie musicale - Mathématiques - Manuels scolaires Mathematik Music theory Mathematics Textbooks Musiktheorie |
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