【摘要】 宋《营造法式》载录的材份制度,以中国古代建筑模数系统享誉学界,其数理内涵兼容了比例构图的形式美法则,具有数理美学的意义及审美价值,甚而同中国古代音律的律度惊人谐合。本文从中国古代数理音乐即律学的发展渊薮,以及律学对度量衡制度、数理哲学和数理美学的深刻影响等方面,系统分析论证了材份模数律度谐合的内在必然性,并指出律度谐合机理的核心——三分法的经典数理法则,其审美价值。正同于西方有关黄金比的数理美学观念。更多还原

【Abstract】 The cai-fen system recorded in Yingzao fashi is renowned for its module regulation. Moreover,with an aesthetic value,its meaning of numbers is compatible with the formal beauty on proportional composition,and concordant with the music temperament theory in ancient China.In the paper,we review the origin of the temperament theory that interferes with metrology,numerological philosophy and aesthetics.Thereupon,we elaborate the intrinsica harmony between module,temperament and metrology.We also indicate that the core principle for such harmony is "the rule of thirds",which is similar to the "golden ratio" from the Western aesthetics on numbers.更多还原