The Arithmetic Of Listening

"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html

A lop-eared rabbit named Buddy finds himself in trouble with the Scruffy Varmint because he never listens.

In 1921, insurance executive Charles Ives sent out copies of a piano sonata to two hundred strangers. Laden with dissonant chords, complex rhythm, and a seemingly chaotic structure, the so-called Concord Sonata confounded the recipients, as did the accompanying book, Essays before a Sonata . Kyle Gann merges exhaustive research with his own experience as a composer to reveal the Concord Sonata and the essays in full. Diffracting the twinned works into their essential aspects, Gann lays out the historical context that produced Ives's masterpiece and illuminates the arguments Ives himself explored in the Essays . Gann also provides a movement-by-movement analysis of the work's harmonic structure and compositional technique; connects the sonata to Ives works that share parts of its material; and compares the 1921 version of the Concord with its 1947 revision to reveal important aspects of Ives's creative process. A tour de force of critical, theoretical, and historical thought, Charles Ives's Concord provides nothing less than the first comprehensive consideration of a work at the heart of twentieth century American music.

The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

"A triumphantly moving book." —Kirkus Reviews, starred review Hannah dreads going to her family's Passover Seder—she's tired of hearing her relatives talk about the past. But when she opens the front door to symbolically welcome the prophet Elijah, she's transported to a Polish village in the year 1942. Why is she there, and who is this "Chaya" that everyone seems to think she is? Just as she begins to unravel the mystery, Nazi soldiers come to take everyone in the village away. And only Hannah knows the unspeakable horrors that await. A critically acclaimed novel from multi-award-winning author Jane Yolen. "[Yolen] adds much to understanding the effects of the Holocaust, which will reverberate throughout history, today and tomorrow." —SLJ, starred review "Readers will come away with a sense of tragic history that both disturbs and compels." —Booklist Winner of the National Jewish Book Award An American Bookseller "Pick of the Lists"

Offers fun tasks which encourage children to listen carefully, while also giving them practice at mental arithmetic. This title contains instructions about how children's understanding and listening skills can be evaluated by observing how they complete the tasks.

Extensively revised and expanded, this third edition of Neuropsychology for Psychologists, Health Care Professionals, and Attorneys provides a clear, concise, and comprehensive discussion of neuropsychology, outlining its purpose, use, and historical development. It covers the anatomy of the brain, a wide variety of neurobehavioral disorders, compr