The tonal Phoenix: a study of tonal progression through the prime numbers three, five and seven
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bonn
Orpheus-Verl.
2000
|
| Series: | Orpheus-Schriftenreihe zu Grundfragen der Musik
96 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 495 S. Notenbeisp. |
| ISBN: | 3922626963 |
Staff View
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| 245 | 1 | 0 | |a The tonal Phoenix |b a study of tonal progression through the prime numbers three, five and seven |c Michael Hewitt |
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Record in the Search Index
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| adam_text | Michael Hewitt
The Tonal Phoenix
A Study of Tonal Progression
through the Prime Numbers
Three, Five and Seven
ORpheUS-Verlag GmbH
Verlag fiir systematische Musikwissenschaft GmbH
Bonn 2000
CONTENTS
List of Abbreviations 6
Part One - The Theory of Valency
The Unity of Tone 7
The Quintessential Property of Valency 21
Intervals as the Explication of Valent Bonds 33
The Pentatonic Scale as a Manifestation of the Laws of Valency 51
The Formating of the Musical Octave
in Accordance with the 3/2 Relation 64
A New Dimensional Perspective: the 5/4 Relation 79
From the Second to the Third Dimension of Tonal Space 93
Part Two - The Problem of the Prime Number Seven
The 7/4 Relation as the Diabolus in Musica 104
The 7/4 Relation and the Eulerian Dominant 119
Functional Intonation and its Influence on the
Perception of the 7/4 Relation 143
The 7/4 Relation as Chromatic Interval of the Augmented Sixth 150
Part Three: The Prime Number Seven as it Provides the Substantive Basis
for a Chromatic Tonality
Chromatic Relations and Temperament 169
The 7/4 Relation as Entering into Tonal Music
through the Vehicle of the Chords of the Italian1,
German and Trench1 Sixth 183
Valency Analysis: the Major and Minor Tonalities 204
The Enigma of the Chromatic Mixing Crucible 225
The Septimal Matrix as the Theoretical Key
to the Chromatic Tonal System 242
The Identification of Septimal Tones in Tonal Music 263
A Definition of the Basic Nineteen-Tone Scale of the
Chromatic Tonal System 278
Inclining and Declining Tones as the Functional
Manifestation of Septimal Polarity 299
Septimal Influences as Subversivefy Manifesting
Through the Guise of Triadic Sonorities 311
Nineteen-Tone Equal Temperament and its Relevance
to the Chromatic Tonal System 326
Part Four: Defining the Parameters of the Chromatic Tonal System
The Relevance of the Prime Number Seven to the
Breakdown of Tonality 342
Key Polarity in the Chromatic Tonal System 357
The Resources of a Single Key of the Chromatic Tonal System 377
The Tritone Bipole as a Manifestation of Septimal Polarity 397
Triadic Harmony in the Chromatic Tonal System 411
Tertial, Quartal and Secundal Harmony as the Integral
Resources of the Chromatic Tonal System 423
Septimal Polarity as the Basis for Dominant
Prolongation (Atonality) 431
The Unification of Modal Resources Under the Cover
of the Enharmonic Scale 449
Conclusions 465
Appendices
Appendix 1: The Three Tone Systems 473
Appendix 2: Some Useful Arithmetic 475
Bibliography 477
List of Musical Works Cited 486
Subject Index 489
Index of Authorities 492
|
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| id | DE-604.BV013415526 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:45:29Z |
| institution | BVB |
| isbn | 3922626963 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009153967 |
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| physical | 495 S. Notenbeisp. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Orpheus-Verl. |
| record_format | marc |
| series | Orpheus-Schriftenreihe zu Grundfragen der Musik |
| series2 | Orpheus-Schriftenreihe zu Grundfragen der Musik |
| spelling | Hewitt, Michael Verfasser aut The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven Michael Hewitt Bonn Orpheus-Verl. 2000 495 S. Notenbeisp. txt rdacontent n rdamedia nc rdacarrier Orpheus-Schriftenreihe zu Grundfragen der Musik 96 Intervallen (muziek) gtt Toonstelsels gtt Harmonics (Music) Tonality Tonalität (DE-588)4185654-5 gnd rswk-swf Tonalität (DE-588)4185654-5 s DE-604 Orpheus-Schriftenreihe zu Grundfragen der Musik 96 (DE-604)BV001889446 96 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009153967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hewitt, Michael The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven Orpheus-Schriftenreihe zu Grundfragen der Musik Intervallen (muziek) gtt Toonstelsels gtt Harmonics (Music) Tonality Tonalität (DE-588)4185654-5 gnd |
| subject_GND | (DE-588)4185654-5 |
| title | The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven |
| title_auth | The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven |
| title_exact_search | The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven |
| title_full | The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven Michael Hewitt |
| title_fullStr | The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven Michael Hewitt |
| title_full_unstemmed | The tonal Phoenix a study of tonal progression through the prime numbers three, five and seven Michael Hewitt |
| title_short | The tonal Phoenix |
| title_sort | the tonal phoenix a study of tonal progression through the prime numbers three five and seven |
| title_sub | a study of tonal progression through the prime numbers three, five and seven |
| topic | Intervallen (muziek) gtt Toonstelsels gtt Harmonics (Music) Tonality Tonalität (DE-588)4185654-5 gnd |
| topic_facet | Intervallen (muziek) Toonstelsels Harmonics (Music) Tonality Tonalität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009153967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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