音乐创作中的数学

English | May 30, 2024 | ASIN: B0D5QJS4DY | 71 pages | EPUB | 1.76 Mb

"Mathematics in Music Composition" is an illuminating exploration of the symbiotic relationship between mathematics and music composition, delving into the profound ways in which mathematical principles shape and inform the creative process of composing music. Authored through a series of insightful chapters, this book navigates the intricate intersections of mathematics and musical composition, offering a comprehensive examination of how mathematical concepts such as symmetry, chaos, fractals, and topology influence the creation of music.

From the harmonic foundations rooted in mathematical structures to the exploration of complex rhythmic patterns, each chapter delves into a specific aspect of mathematics and its application in music composition. Readers are introduced to a diverse array of mathematical frameworks, including the Fibonacci sequence, prime numbers, fractals, chaos theory, network theory, quantum mechanics, and hyperbolic geometry, among others, and discover how these mathematical concepts serve as powerful tools for composers to craft innovative and compelling musical works.

Throughout the book, the authors emphasize the creative potential inherent in mathematical principles, encouraging composers to embrace mathematical concepts as sources of inspiration and exploration in their artistic practice. By leveraging mathematical frameworks, composers can break free from traditional conventions, explore new sonic territories, and push the boundaries of artistic expression, fostering a sense of openness, curiosity, and discovery in their compositions.

Readers are invited on a journey of discovery as they uncover the intricate connections between mathematics and music, gaining insights into how mathematical principles inform the structure, form, and aesthetic qualities of musical compositions. Through engaging narratives, illuminating examples, and practical applications, this book demonstrates how composers can harness the power of mathematics to create works that resonate with beauty, complexity, and emotional depth.

"Mathematics in Music Composition" serves as a valuable resource for composers, musicians, educators, and enthusiasts alike, offering a rich tapestry of ideas, techniques, and insights to inspire and inform their creative endeavors. Whether you are a seasoned composer seeking new avenues of artistic exploration or a curious enthusiast eager to delve into the fascinating world of mathematics and music, this book provides a comprehensive and accessible guide to the intersection of these two disciplines.

By bridging the realms of art and science, "Mathematics in Music Composition" offers a fresh perspective on the creative process, inviting readers to explore the profound connections between mathematics and music and unlock new pathways for artistic expression and innovation. With its blend of scholarly rigor and practical application, this book is a must-read for anyone interested in the fascinating interplay between mathematics and music and its transformative impact on the world of composition.

中文|2024年5月30日|亚洲信息网：B0D5QJS4DY|71页|EPUB | 1.76 Mb 《音乐创作中的数学》是对数学与音乐创作之间共生关系的启发性探索，深入探讨了数学原理塑造和指导音乐创作过程的深刻方式。本书通过一系列富有洞察力的章节撰写，探索了数学和音乐创作的复杂交叉点，全面考察了对称、混沌、分形和拓扑等数学概念如何影响音乐创作。 从植根于数学结构的和声基础到对复杂节奏模式的探索，每一章都深入探讨了数学的一个特定方面及其在音乐创作中的应用。读者将了解各种各样的数学框架，包括斐波那契序列、素数、分形、混沌理论、网络理论、量子力学和双曲几何等，并发现这些数学概念如何成为作曲家创作创新和引人注目的音乐作品的有力工具。 在整本书中，作者强调了数学原理中固有的创造潜力，鼓励作曲家在艺术实践中接受数学概念作为灵感和探索的来源。通过利用数学框架，作曲家可以打破传统惯例，探索新的声音领域，突破艺术表达的界限，在他们的作品中培养开放性、好奇心和发现感。 我们诚挚地邀请读者踏上探索之旅，揭示数学与音乐之间的复杂联系，深入了解数学原理如何影响音乐作品的结构、形式和美学品质。通过引人入胜的叙述、富有启发性的例子和实际应用，本书展示了作曲家如何利用数学的力量创作出与美、复杂性和情感深度产生共鸣的作品。 “音乐作曲中的数学”为作曲家、音乐家、教育工作者和爱好者提供了宝贵的资源，提供了丰富的思想、技术和见解，以激励和指导他们的创作努力。无论你是一位寻求艺术探索新途径的经验丰富的作曲家，还是一位渴望深入研究数学和音乐这一迷人世界的好奇爱好者，这本书都为这两个学科的交叉提供了全面而易于理解的指南。 通过连接艺术和科学领域，“音乐作曲中的数学”为创作过程提供了一个新的视角，邀请读者探索数学和音乐之间的深刻联系，为艺术表达和创新开辟新的途径。这本书融合了学术严谨性和实际应用，是任何对数学和音乐之间迷人的相互作用及其对作曲世界的变革性影响感兴趣的人的必读之作。

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