| 書目名稱 | Proportions and Their Music | | 副標題 | What Fractions and T | | 編輯 | Karlheinz Schüffler | | 視頻video | http://file.papertrans.cn/762/761390/761390.mp4 | | 概述 | Presents the musical theory of proportions as a link between mathematics and music.Demonstrates the relevance of classical theory and methodology - from antiquity to the present day.Contains many exam | | 圖書封面 |  | | 描述 | .Sounds can be harmonic, number sequences too - a coincidence?.This book deals with a musical theory of proportions, i.e. the ancient doctrine of proportions as the oldest and most important common anchorage of the two cultural sciences mathematics and music..The musical theory of tones, intervals, tetrachords, sounds and scales is in fact the exact musical image of the laws of arithmetic and its symmetries in the set of rules of playing with numbers, their proportions and their medievals. Alone the miracle of the so-called Harmonia perfecta maxima 6 - 8 - 9 - 12, whose proportions determine the fifth as well as the fourth, form the octave and have the brazen whole tone in their center, shaped the musical edifice of Pythagorean music for thousands of years. This elementary chain of proportions 6 : 8 : 9 : 12 is, moreover, completely symmetrical and built up from the arithmetic as well as from the harmonic medieta of the octave numbers 6 and 12..This book develops the theory of proportions as a mathematical science and always contrasts it with the musical motivation by means of numerous examples. The main idea is the derivation of a theory of symmetry from the Harmonia perfecta maxi | | 出版日期 | Book 2024 | | 關鍵詞 | Musical Proportions; Church keys; Mathematics and Music; Math Music; Proportion fifth; Proportion fourth; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-65336-4 | | isbn_softcover | 978-3-662-65335-7 | | isbn_ebook | 978-3-662-65336-4 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE |
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