A Simple Mathematics of Musical Pitch and Time
暫譯: 音高與時間的簡明數學
Cohn, Richard
- 出版商: Summit Valley Press
- 出版日期: 2027-06-22
- 售價: $2,460
- 貴賓價: 9.5 折 $2,337
- 語言: 英文
- 頁數: 336
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0262553198
- ISBN-13: 9780262553193
尚未上市，無法訂購
商品描述
How the mathematics of pitch and time shed light on how music is made, performed, and heard. Music is composed of patterns of sound in patterns of time. In A Simple Mathematics of Musical Pitch and Time, renowned music theorist Richard Cohn explores how the mathematics that govern these patterns in pitch and time--from scales to melodies and harmonies to rhythms--can offer readers new insights into the ways that music is composed, performed, and experienced by musicians and audiences. Designed to be accessible to readers who may be new to mathematics or to music theory, Cohn uses concepts from set theory and graph theory to introduce a simple, yet analytically powerful, mathematical model rooted in the physical properties of pitch and time and what we know about how the human brain processes them. He then introduces readers to a series of cyclic universes, which can be interpreted either as units of time that combine to form cycled rhythms or as pitches that combine to form scales or chords. In each chapter, he reveals how these cyclic universes can be applied to a wide range of music, from the historical repertoire of the European classical tradition to the music of West Africa. He also explores tuning theory, harmony, and voice leading and shows how his mathematical model offers a unique set of tools for understanding these crucial topics.
商品描述(中文翻譯)
音高與時間的數學，如何揭示音樂的創作、演出與聆聽方式。
音樂是由依循時間模式排列的聲音模式所構成。在《音高與時間的簡明數學》中，知名音樂理論家 Richard Cohn 探討支配音高與時間模式的數學原理——從音階、旋律與和聲到節奏——如何為讀者帶來新的洞見，協助理解音樂家與聽眾創作、演出及體驗音樂的方式。
本書旨在讓對數學或音樂理論不熟悉的讀者也能輕鬆閱讀。Cohn 運用集合論（set theory）與圖論（graph theory）的概念，介紹一種簡單卻具強大分析能力的數學模型。這套模型根植於音高與時間的物理特性，以及我們對人類大腦處理這些資訊方式的認識。接著，他向讀者介紹一系列循環宇宙（cyclic universes）：這些循環宇宙既可以解釋為組合形成循環節奏的時間單位，也可以解釋為組合形成音階或和弦的音高。
在每一章中，他都揭示這些循環宇宙如何應用於廣泛的音樂，包括歐洲古典傳統的歷史曲目，以及西非音樂。他也探討調律理論、和聲與聲部進行，並說明他的數學模型如何提供一套獨特的工具，協助我們理解這些關鍵主題。
作者簡介
Richard Cohn is a music theorist and Battell Professor of Music Theory at Yale. He taught in the Music Department at the University of Chicago from 1985, where he served as Department Chair from 1998 to 2001. In 2004, he founded Oxford Studies in Music Theory, which he edited for Oxford.
作者簡介(中文翻譯)
Richard Cohn 是音樂理論家，也是 Yale 的 Battell 音樂理論教授。他自 1985 年起任教於 University of Chicago 音樂系，並於 1998 至 2001 年間擔任系主任。2004 年，他創辦了 Oxford Studies in Music Theory，並為 Oxford 擔任該系列的主編。
