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Bach's Numbers: Compositional Proportion and Significance [Kõva köide]

  • Formaat: Hardback, 427 pages, kõrgus x laius x paksus: 254x180x23 mm, kaal: 1010 g, 119 Tables, black and white; 8 Halftones, black and white; 1 Line drawings, black and white
  • Ilmumisaeg: 06-Aug-2015
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107088607
  • ISBN-13: 9781107088603
  • Formaat: Hardback, 427 pages, kõrgus x laius x paksus: 254x180x23 mm, kaal: 1010 g, 119 Tables, black and white; 8 Halftones, black and white; 1 Line drawings, black and white
  • Ilmumisaeg: 06-Aug-2015
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107088607
  • ISBN-13: 9781107088603
In eighteenth-century Germany the universal harmony of God's creation and the perfection of its proportions still held philosophical, moral and devotional significance. Reproducing proportions close to the unity (1:1) across compositions could render them beautiful, perfect and even eternal. Using the principles of her groundbreaking theory of proportional parallelism and the latest source study research, Ruth Tatlow reveals how Bach used the number of bars to create numerical perfection across his published collections, and explains why he did so. The first part of the book illustrates the wide-ranging application of belief in the unity, showing how planning a well-proportioned structure was a normal compositional procedure in Bach's time. In the second part Tatlow presents practical demonstrations of this in Bach's works, illustrating the layers of proportion that appear within a movement, a work, between two works in a collection, across a collection and between collections.

Arvustused

'[ This book] takes in all Bach's major collections and more, including the two Passions, three Oratorios and the B minor Mass. In sheer extent and richness of background, and number of works examined, Tatlow's book is a most original and impressive achievement that will need to be taken into account in future discussions of these fascinating compositions.' David Ledbetter, Early Music 'For anyone who wishes to explore the logical pathways of Bach's genius, Tatlow's analysis gets to the heart of the aesthetic, theological and Pythagorean presuppositions underlying the Bachian concepts of 'Vollkommenheit', perfection through calculation; and 'Harmonie' the harmony of proportion, here a mirror of divine order.' Gian Mario Benzing, translated from Corriere della Sera (La Lettura) ' Tatlow's approach to the subject matter is unique, and the vigorousness with which her methodology is applied has uncovered numerous new and unexpected facts. Bach scholarship cannot ignore her voice.' Yo Tomita, Music and Letters Bach's Numbers clears the way for some promising new directions in Bach scholarship. Tatlow's work should be valued not only for what it suggests for future study, however, but for what it provides in its own right: a bold historical rendering of Bach's compositional process that forces us to view some of the composer's greatest works in a new light, and with deepened appreciation.' Robert L. Wells, Music Analysis

Muu info

Ruth Tatlow employs theoretical evidence and practical demonstrations to explain how and why Bach used numbers in his published compositions.
List of figures
ix
List of tables
x
Acknowledgements xv
List of abbreviations
xvii
PART I FOUNDATIONS
1(130)
1 Bach's numbers
3(33)
2 Symmetry, proportion and parallels
36(37)
3 Unity, proportions and universal Harmony in Bach's world
73(29)
4 Bars, compositional planning and proportional parallelism
102(29)
PART II DEMONSTRATIONS
131(239)
5 Three collections for strings
133(26)
6 Four in two collections for keyboard
159(23)
7 Two further collections for keyboard
182(22)
8 Two small late collections
204(20)
9 Two large late collections
224(31)
10 Collections of concertos
255(20)
11 Collections of organ works
275(19)
12 Great passions and cantatas
294(32)
13 Festive cut-and-paste projects: masses and oratorios
326(28)
14 Lost compositional blueprints
354(16)
Appendix: A theology of musical proportions and Harmony in Bach's time 370(13)
Bibliography 383(13)
Index of sources 396(4)
Index 400
British-Swedish musicologist Ruth Tatlow is an independent scholar based in Stockholm. Her research into Bach's use of numbers led from her classic monograph Bach and the Riddle of the Number Alphabet (Cambridge, 1991) to its sequel Bach Numbers, through publications on methodology, inventive techniques and the theory of proportional parallelism. In 2004 she co-founded Bach Network UK (BNUK), establishing its open access web-journal Understanding Bach in 2006. She is currently Chair of the BNUK Council, joint editor of Understanding Bach, and a member of the Editorial Board of the American Bach Society. Her research has attracted awards and grants from numerous sources including the Swedish Research Council, the Royal Swedish Academy of Music, the Society of Authors of Great Britain, the British Council, The Hinrichsen Foundation, The Leverhulme Trust and the Royal Swedish Academy of Letters.