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.
In the eighteenth century the universal harmony of God's creation and the perfection of the unity (1:1) were philosophically, morally and devotionally significant. Ruth Tatlow employs theoretical evidence and practical demonstrations to explain how and why Bach used numbers in his published compositions.
In 1947 Friedrich Smend published a study claiming that J. S. Bach used a natural-order alphabet (A = 1 to Z = 24) in his works. He demonstrated that Bach incorporated significant words into his music, and provided himself with a symbolic compositional theme. Here, Dr Tatlow investigates the plausibility of Smend's claims with new evidence, challenging Smend's conclusions.
The B-minor Mass has always represented a fascinating challenge to musical scholarship. Composed over the course of Johann Sebastian Bach's life, it is considered by many to be the composer's greatest and most complex work. The fourteen essays assembled in this volume originate from the International Symposium 'Understanding Bach's B-minor mass' at which scholars from eighteen countries gathered to debate the latest topics in the field. In revised and updated form, they comprise a thorough and systematic study of Bach's Opus Ultimum, including a wide range of discussions relating to the Mass's historical background and contexts, structure and proportion, sources and editions, and the reception of the work in the late eighteenth and early nineteenth centuries. In the light of important new developments in the study of the piece, this collection demonstrates the innovation and rigour for which Bach scholarship has become known.
The Ashgate Research Companion to Johann Sebastian Bach provides an indispensable introduction to the Bach research of the past thirty-fifty years. It is not a lexicon providing information on all the major aspects of Bach's life and work, such as the Oxford Composer Companion: J. S. Bach. Nor is it an entry-level research tool aimed at those making a beginning of such studies. The valuable essays presented here are designed for the next level of Bach research and are aimed at masters and doctoral students, as well as others interested in coming to terms with the current state of Bach research. Each author covers three aspects within their specific subject area; firstly, to describe the results of research over the past thirty-fifty years, concentrating on the most significant and controversial, such as: the debate over Smend's NBA edition of the B minor Mass; Blume's conclusions with regard to Bach's religion in the wake of the 'new' chronology; Rifkin's one-to-a-vocal-part interpretation; the rediscovery of the Berlin Singakademie manuscripts in Kiev; the discovery of hitherto unknown manuscripts and documents and the re-evaluation of previously known sources. Secondly, each author provides a critical analysis of current research being undertaken that is exploring new aspects, reinterpreting earlier assumptions, and/or opening-up new methodologies. For example, Martin W. B. Jarvis has suggested that Anna Magdalena Bach composed the cello suites and contributed to other works of her husband - another controversial hypothesis, whose newly proposed forensic methodology requires investigation. On the other hand, research into Bach's knowledge of the Lutheran chorale tradition is currently underway, which is likely to shed more light on the composer's choices and usage of this tradition. Thirdly, each author identifies areas that are still in need of investigation and research.
This book shows how information theory, probability, statistics, mathematics and personal computers can be applied to the exploration of numbers and proportions in music. It brings the methods of scientific and quantitative thinking to questions like: What are the ways of encoding a message in music and how can we be sure of the correct decoding? How do claims of names hidden in the notes of a score stand up to scientific analysis? How many ways are there of obtaining proportions and are they due to chance? After thoroughly exploring the ways of encoding information in music, the ambiguities of numerical alphabets and the words to be found “hidden” in a score, the book presents a novel way of exploring the proportions in a composition with a purpose-built computer program and gives example results from the application of the techniques. These include information theory, combinatorics, probability, hypothesis testing, Monte Carlo simulation and Bayesian networks, presented in an easily understandable form including their development from ancient history through the life and times of J. S. Bach, making connections between science, philosophy, art, architecture, particle physics, calculating machines and artificial intelligence. For the practitioner the book points out the pitfalls of various psychological fallacies and biases and includes succinct points of guidance for anyone involved in this type of research. This book will be useful to anyone who intends to use a scientific approach to the humanities, particularly music, and will appeal to anyone who is interested in the intersection between the arts and science. With a foreword by Ruth Tatlow (Uppsala University), award winning author of Bach’s Numbers: Compositional Proportion and Significance and Bach and the Riddle of the Number Alphabet. “With this study Alan Shepherd opens a much-needed examination of the wide range of mathematical claims that have been made about J. S. Bach's music, offering both tools and methodological cautions with the potential to help clarify old problems.” Daniel R. Melamed, Professor of Music in Musicology, Indiana University
This book a offers a multitude of provocative new perspectives on one of the most iconic composers in the Western classical tradition. Its collective rethinking of some of our most cherished narratives and deeply held beliefs about Johann Sebastian Bach will allow readers to see the man in a new light and to hear his music with new ears.
J.S. Bach’s Musical Offering is a broadly known and extensively studied collection of musical pieces, written in 1747 shortly after his visit to the Potsdam court of Frederick the Great. The composition, however, survived in separated sheets of different formats, and finding the logic of its organization into a cycle became a great challenge for scholars of the following centuries. Based on ground-breaking findings by Christoph Wolff, who revealed the main principles of the Musical Offering’s structure, as well as those promulgated by Hans Theodor David, and more recently by G. Butler, W. Wiemer, R. Tatlow, and many other scholars, this book develops and revises their ideas, arriving at a unique conception of the possible original structure of the Musical Offering. While the rods of the collection do not provoke disagreements among scholars, the ordering of the ten canons (including the Fuga canonica) remains mysterious in many aspects, and this text gives them a close examination. It considers their kinds (thematic and contrapuntal); textual inscriptions; the canons’ function within the cycle (as vignettes to the main pieces); and their location, among other aspects. The volume includes profuse references to historical and cultural context; court etiquette; contrapuntal techniques; the history of the ricercar; expertise in Bach’s handwriting and habits of music layout in his manuscripts; and the Baroque principles of organization in arts.
The second son of Johann Sebastian Bach, C.P.E. Bach was an important composer in his own right, as well as a writer and performer on keyboard instruments. He composed roughly a thousand works in all the leading genres of the period, with the exception of opera, and Haydn, Mozart and Beethoven all acknowledged his influence. He was also the author of a two-volume encyclopedic book about performance on keyboard instrument. C.P.E. Bach and his music have always been the subject of significant scholarship and publication but interest has sharply increased over the past two or three decades from performers as well as music historians. This volume incorporates important writings not only on the composer and his chief works but also on theoretical issues and performance questions. The focus throughout is on relatively recent scholarship otherwise available only in hard-to-access sources.
(Amadeus). The Worlds of J.S. Bach offers both traditional and new perspectives on the life and work of the man who is arguably the central figure in the Western musical tradition. It appears at a time when, because of the fall of the Iron Curtain, extraordinary new discoveries are being made about Bach and his family at an increasing rate thus this book is able to incorporate important information and images not available even in the recent anniversary year of 2000. After making the case for the universality of Bach's art as an epitome of Western civilization, The Worlds of J.S. Bach considers in broad terms the composer's social, political, and artistic environment, its influence on him, and his interaction with it. Renowned specialists in history, religion, architecture, literature, theater, and dance offer the perspectives of these disciplines as they relate to Bach's milieu, while leading Bach specialists from both the U.S. and Germany focus on the man himself. The book is an outgrowth of the "celebrated" ( Boston Globe ) multidisciplinary Academies sponsored by the Aston Magna Foundation for Music and the Humanities with support from the National Endowment for the Humanities.
