Where did the major scale come from? Why does most traditional non-Western music not share Western principles of harmony? What does the inner structure of a canon have to do with religious belief? Why, in historical terms, is J.S. Bach’s music regarded as a perfect combination of melody and harmony? Why do clocks in church towers strike dominant-tonic-dominant-tonic? What do cathedrals have to do with monochords? How can the harmonic series be demonstrated with a rope tied to a doorknob, and how can it be heard by standing next to an electric fan? Why are the free ocean waves in Debussy’s La Mer, the turbulent river waves in Smetana’s Moldau, and the fountain ripples in Ravel’s Jeux d’Eau pushed at times into four-bar phrases? Why is the metric system inherently unsuitable for organizing music and poetry? In what way does Plato’s Timaeus resemble the prelude to Wagner’s Das Rheingold? Just how does Beethoven’s work perfectly illustrate fully functional tonality, and why were long-range works based on this type of tonality impossible before the introduction of equal temperament? In this new century, what promising materials are available to composers in the wake of harmonic experimentation and, some would argue, exhaustion? The answers to these seemingly complicated questions are not the sole province of music professors or orchestra conductors. In fact, as E. Eugene Helm demonstrates, they can just as easily be explained to amateurs, and their answers are important if we are to understand how Western music works. The full range of Western music is explored through 21 concise chapters on such topics as melody, harmony, counterpoint, texture, melody types, improvisation, music notation, free imitation, canon and fugue, vibration and its relation to harmony, tonality, and the place of music in architecture and astronomy. Intended for amateurs and professionals, concert-goers and conductors, Helm offers in down-to-earth language an explanation of the foundations of our Western music heritage, deepening our understanding and the listening experience of it for all.

This novel approach to epistemological discourse explains the complex but crucial role that systematization plays-not just for the organization of what we know, but also for its validation. Cognitive Harmony argues for a new conception of the process philosophers generally call induction. Relying on the root definition of harmony, a coherent unification of component parts (systemic integrity) in such a way that the final object can successfully accomplish what it was meant to do (evaluative positivity), Rescher discusses the role of harmony in cognitive contexts, the history of cognitive harmony, and the various features it has in producing human knowledge. The book ends on the issue of philosophy and the sort of harmony required of philosophical systems.

“Blaedel has addressed himself to the task of writing a full-length biography that covers all facets of his subject and that emphasizes that they form part of one harmonious unity. I think that on the whole he has succeeded remarkably well. He gives an accurate picture of the man theorists of my generation both admired and loved. And not only of the physicist: Bohr’s relations with his family and in particular with his wife, an admirable woman, are drawn with sympathy and understanding. Blaedel’s sketch of the atmosphere at Bohr’s institute in Copenhagen... is true to life; it will raise nostalgic memories among those who, like myself, experienced it... [Blaedel] has produced a fitting tribute to a great scientist and a noble man.” — H.B.G. Casimir, Nature “The book is intended primarily for nonphysicists; nevertheless it offers extensive (albeit nontechnical) accounts of all aspects of Bohr’s scientific work. The consistent emphasis, however, is on Bohr as a person—his character, interests andWeltanschauung. Niels Blaedel was able to draw on matchless resources, both human and material: Bohr’s family (especially his widow, Margrethe Bohr, who shared both her memories and her correspondence), Bohr’s former friends and colleagues, and a rich supply of documentary and photographic material from Danish collections, as well as from the AIP Niels Bohr Library in New York. The result is a lavishly illustrated and affectionate account of Bohr from his earliest years until his death... as a general picture of Bohr and his work this book can be warmly recommended.” — Anthony P. French, Physics Today “Niels Bohr is generally regarded as a giant of twentieth-century physics... Bohr was securely entrenched in a Danish culture that is difficult for many historians to penetrate. It is important, then, that at last a biography has been written by a Dane with wide knowledge of the society in which Bohr lived and moved... The author had unprecedented access to Bohr’s family correspondence, primarily with his wife Margrethe, who, before she died at ninety-four in 1984, read Blaedel many letters from her husband... Blaedel’s book, written on commission for the Bohr centennial and published in Danish in 1985, contains valuable insights on Bohr, particularly as they relate to his previously unavailable family correspondence and his place in Danish culture.” — Finn Aaserud, Isis: A Journal of the History of Science “Though Niels Bohr is best known as a distinguished citizen of the international community of science, he was also a leading citizen of Denmark. This is the first biography of Bohr to deal with both of these dimensions to his life, without which it is hard to fully understand either the man or his work.” — Robert March, University of Wisconsin-Madison, author of Physics for Poets “... the book can be read without any background knowledge in physics. But its overwhelming number of photographs and rich use of letters and recollections make Niels Blaedel’s book closely resemble the great standard biography — a literary monument to Niels Bohr.” — Flemming Christian Nielsen, Jyllands-Posten “Niels Blaedel has solved an almost insoluble problem... thereby clarifying the life of Niels Bohr... a well-constructed piece of documentation and a coherent piece of scientific history.” — Jens Kistrup, Berlingske Tidende

Philip Gulley takes us to Harmony, Indiana, at Christmastime as inspiration strikes the inimitable Dale Hinshaw. Always looking for a way to increase the church's profit margins, Hinshaw brainstorms a progressive nativity scene that will involve the whole town, complete with a map like those for the Hollywood stars. Neither Pastor Sam Gardner nor the other members of the Harmony Friends meeting express any enthusiasm for this idea, but Dale is unstoppable. Meanwhile, Pastor Sam has his own concerns: he's having his annual argument with his wife, and he's worried that the four-slotted toaster he bought for her may be too lavish a gift. Amidst the bustle of the season, the citizens of Harmony experience the simple joys and sometime loneliness that often go unseen. Sam comes to the realization that Dale, in his own misguided way, is only trying to draw meaning from the eternal story of Christmas. "In this unsettled world, it is good to have this steadiness -- the Christmas Eve service, the peal of the bell. . . .There is a holiness to memory, a sense of God's presence in these mangers of the mind. Which might explain why it is that the occasions that change the least are often the very occasions that change us the most."

Quest for Harmony provides a basic understanding of the cultures and spiritual teachings of four Native American nations--Lenape (Delaware), Ani'-Yun'-wiya (Cherokee), Lakota (Sioux), and Dine (Navajo). The text is always sympathetic, respectful, and, when possible, presented in the voices of Native Americans. Each nation is described in terms of its name, traditional location(s), present population, language, and traditional social organization. At least one story of origin is provided for each nation, followed by a survey of its history from earliest documented times until recent times. At the heart of each chapter, the spiritual worldview and rituals of the nation being discussed are introduced, with sections on cosmology, gods and spirits, rituals, and other issues particular to that nation. Critical issues common to Native Americans such as the pannational spiritual movements and the environment are also covered. Quest for Harmony makes clear that not only are Native American spiritual traditions very much alive, they are also in the midst of a dramatic revival.

In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.