我国古代成组玉石璧与早期“同律度量衡”的关联性研究

摘要

This paper analyzes pentatonic scale led by San Fen Sun Yi Fa (三分损益法)and twelve-tone tempera-ment in ancient Chinese documents,and clarifies that this theory can be used to verify jade Bi set’s legitimacy as standard temperamental instrument. We choose Bi set from San Xing Dui (三星堆)as metrical data,use San Fen Sun Yi Fa and chromatic scale temperament (firstly used by our project)to convert these data,and verify with du-plicate Bi set’s metrical data. According to our experiments,we argue that Bi set’s temperament conforms to Chi-nese traditional twelve-tone temperament,and that it can be used as a standard instrument of“Measurements of the Same Temperament”.%文章通过对我国文献记载的三分损益法导生五声音阶及十二律原理的分析阐释，说明该原理可用以考证成组玉石璧能否作为标准律器。选用三星堆出土成组玉石璧（11件、七声音阶）测音数据，运用三分损益法和半音音阶推律法（本课题首用）换算该组璧律比关系，再用复原实验仿制成组璧测音数据加以验证。研究证明：成组玉石璧的律比关系完全符合我国传统十二律生律规则，可以作为周代以“璧羡之法”（以黄钟律为标准，以成组玉石璧为承载物）进行“同律度量衡”改革的标准用器。