Musica mathematica: traditions and innovations in contemporary music
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Frankfurt am Main ; Bern ; Bruxelles ; New York ; Oxford ; Warszawa ; Wien
PL Academic Research
[2016]
|
| Schriftenreihe: | Methodology of music research
vol./Bd. 9 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029647890&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 287 Seiten Illustrationen, Notenbeispiele |
| ISBN: | 9783631713815 |
Internformat
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| 245 | 1 | 0 | |a Musica mathematica |b traditions and innovations in contemporary music |c Rima Povilionienė |
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Datensatz im Suchindex
| _version_ | 1819325322685841408 |
|---|---|
| adam_text | Contents
List of Analyzed Music Scores.................................... 9
Author’s Preface................................................. 11
Foreword: Mathesis as a Philosophy of the Beauty of Music........ 15
Part 1
A Retrospective of the Traditions of Mttsica Mathematica 21
1. The Constructive Relationships between Music and
Mathematics: The Pythagorean Conception of Universal Music
and its Spread in the Worldview of Later Periods..... 23
1.1. Music and the Theory of the Quadrivium.................... 24
1.2. Review of the Harmony of Spheres ......................... 26
1.3. The Phenomenon of Mathesis Universalis ................... 35
1.4. Expression of Numerical Proportions and Progressions...... 37
1.5. Ars Combinatoria and the Constructivism of Music ......... 44
2. Semantic Interpretation of the Interaction between Music and
Mathematics: Mystic Middle Ages and the Sacral Baroque ........ 51
2.1. Semantics of the Kabbalah in Music ....................... 52
2.2. Symbolic Thinking and Sacral Numerology ............... 55
2.3. Codes of the Numerical Alphabets in Music................. 60
3. Constructive Aspects of the Interaction between Music and
other Arts.................................................. 69
3.1. “Frozen Music”: Dialogues between Music and Architecture . 69
3.2. Ut Pictura Musica: The Interaction between Music and Art.. 75
3.3. Musical Cryptography as a Common Denominator of the Sound
and the Word............................................. 79
4. Musica Mathematica in Practice: Aspects of Analysis...........93
5
Part 2
The Renewal of Mathematical Techniques in Musical
Compositions of the 20th and 21st Centuries....................99
1. Constructive Aspects of Music Composition...........................103
1.1. The Implications of Numerical Proportions and Progressions in
Music...........................................................103
1.1.1. The Number Proportions and Progressions of Antiquity.....104
John Cage. First Construction (1939)........................116
1.1.2. Fibonacci and Number Sequences Derived from it...........121
1.1.3. The Prime Numbers and other Mathematically Determined
Sequences ..................................................129
1.2. The Renewal of Polytempo, Polyrhythm, and Polymeter............137
1.3. Symmetrical Algorithms and the Confrontation between
Symmetries and Asymmetries .....................................146
1.4. Transformational Elements (Combinatorics, Permutations,
Rotations)................................................151
2. Semantic Aspects of Music Composition .......................163
2.1. Cosmological Number Codes and Graphic Constructions ...........163
2.2. The Symbols of Magic Number Squares............................168
2.3. The Implications of Sacred Numbers.............................175
2.4. Personalized Semantics: The Significance of Individual Numbers.183
Part 3 Innovations of Mathematical Techniques in
20th and 21st Century Music............................................201
1. The Mathematized Musical Graph................................205
1.1. A Geometric Prototype as an Algorithm for Musical Composition..205
1.2. L-system Formalities in Music ...........................213
1.3. The Numericalization of the Musical Score .....................218
6
2. Implications of Modern Mathematical Theories.................223
2.1. The Practice of Algorithmic Music and Computer-Generated
Composition...............................................223
2.2. Tonal Adaptations of Complicated Mathematical Processes .228
2.3. Fractal Theory Analogies in Musical Compositions.........239
Afterword ......................................................253
Bibliography................................................257
Index of Names .................................................277
About the Author................................................285
7
|
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| author | Povilionienė, Rima 1975- |
| author_GND | (DE-588)104671175X |
| author_facet | Povilionienė, Rima 1975- |
| author_role | aut |
| author_sort | Povilionienė, Rima 1975- |
| author_variant | r p rp |
| building | Verbundindex |
| bvnumber | BV044242577 |
| classification_rvk | LR 57780 LR 56717 |
| ctrlnum | (OCoLC)992548663 (DE-599)BSZ479937710 |
| discipline | Musikwissenschaft |
| format | Book |
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| id | DE-604.BV044242577 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T17:57:43Z |
| institution | BVB |
| isbn | 9783631713815 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029647890 |
| oclc_num | 992548663 |
| open_access_boolean | |
| owner | DE-11 DE-12 DE-Re5 DE-BY-UBR DE-355 DE-BY-UBR |
| owner_facet | DE-11 DE-12 DE-Re5 DE-BY-UBR DE-355 DE-BY-UBR |
| physical | 287 Seiten Illustrationen, Notenbeispiele |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | PL Academic Research |
| record_format | marc |
| series | Methodology of music research |
| series2 | Methodology of music research |
| spellingShingle | Povilionienė, Rima 1975- Musica mathematica traditions and innovations in contemporary music Methodology of music research Musikalische Analyse (DE-588)4040814-0 gnd Mathematik (DE-588)4037944-9 gnd Musiktheorie (DE-588)4040876-0 gnd |
| subject_GND | (DE-588)4040814-0 (DE-588)4037944-9 (DE-588)4040876-0 |
| title | Musica mathematica traditions and innovations in contemporary music |
| title_auth | Musica mathematica traditions and innovations in contemporary music |
| title_exact_search | Musica mathematica traditions and innovations in contemporary music |
| title_full | Musica mathematica traditions and innovations in contemporary music Rima Povilionienė |
| title_fullStr | Musica mathematica traditions and innovations in contemporary music Rima Povilionienė |
| title_full_unstemmed | Musica mathematica traditions and innovations in contemporary music Rima Povilionienė |
| title_short | Musica mathematica |
| title_sort | musica mathematica traditions and innovations in contemporary music |
| title_sub | traditions and innovations in contemporary music |
| topic | Musikalische Analyse (DE-588)4040814-0 gnd Mathematik (DE-588)4037944-9 gnd Musiktheorie (DE-588)4040876-0 gnd |
| topic_facet | Musikalische Analyse Mathematik Musiktheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029647890&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014653831 |
| work_keys_str_mv | AT povilionienerima musicamathematicatraditionsandinnovationsincontemporarymusic |