本文選題：混沌理論 + 分形理論��； 參考：《黃鐘(武漢音樂(lè)學(xué)院學(xué)報(bào))》2017年03期

【摘要】：混沌理論(Chaos Theory)的提出,從科學(xué)角度探討了世界的本質(zhì)問(wèn)題。與之密切相關(guān)的分形理論(Fractal Theory)無(wú)可爭(zhēng)議地成為了20世紀(jì)的三大科學(xué)革命之一,該理論不僅改變了人們觀察世界的角度,更啟迪了我們反思往昔習(xí)以為常的一切。文章重點(diǎn)審視音樂(lè)作品與生律方式中展現(xiàn)的混沌與分形特質(zhì)。從巴赫的古鋼琴作品中探討混沌理論中對(duì)于初始條件的依賴性;在約翰·凱奇的音樂(lè)創(chuàng)作中探索不可預(yù)測(cè)性;探究申克分析法與作品自相似性特征;探尋三分損益律所展現(xiàn)出的分形圖形等。總之,從音樂(lè)作品,到音樂(lè)分析觀念,再到廣闊的音樂(lè)文化,我們?cè)诩姺睆?fù)雜的音樂(lè)現(xiàn)象背后的確能夠發(fā)現(xiàn)混沌分形的特質(zhì)。
[Abstract]:The chaos theory is put forward by Chaos Theory, and the essential problem of the world is discussed from the point of view of science. Fractal theory, which is closely related to fractal theory, has indisputably become one of the three major scientific revolutions in the 20th century. This theory not only changes the perspective of people's observation of the world, but also enlightens us to reflect on everything we used to take for granted. This paper focuses on the features of chaos and fractal in musical works and laws. This paper discusses the dependence of chaos theory on initial conditions in Bach's ancient piano works, explores the unpredictability in John Cage's music creation, and explores the characteristics of self-similarity between Schenck analysis and works. Explore the three-point profit and loss law showed fractal graphics and so on. In a word, from music works to music analysis ideas, to broad music culture, we can find the characteristic of chaos fractal behind the complicated music phenomenon.
【作者單位】： 中國(guó)音樂(lè)學(xué)院音樂(lè)研究所;北京市民族音樂(lè)研究與傳播基地;英文學(xué)刊《音樂(lè)中國(guó)》編輯部;
【分類號(hào)】：J614
，

本文編號(hào)：1989180