音乐与数学

Quan shu nei rong da zhi ke yi fen cheng san ge bu fen. di yi bu fen bao gua qian san zhang, cong jie shao yin le de yi xie ji ben zhi shi kai shi, jin er tong guo xian de zhen dong fang cheng jie shao fan yin lie de sheng cheng, mei sen ding lü deng, di san zhang jie shao lü xue. zhe bu fen nei rong shi jie shao yin le yu shu xue zhi jian guan xi shi zong hui jiang dao de bi jiao chuan tong de nei rong. di si zhang jie shao le yi xie zhong yao de yin le gai nian : diao shi, yin jie, he xian deng, ji ben shang shu yu yin le ji chu li lun, bing mei you she ji shu xue. ran er zhe yi zhang shi cheng qian qi hou de, ta wei hou mian de zhang jie da xia le ji chu. di wu-ba zhang shu yu di san bu fen, fen bie jie shao le ru he yong shu xue fang fa lai fen xi he li jie yin le de san da yao su : xuan lü, jie zou, he sheng, yi ji fei que ding xing zai yin le li lun he shi jian zhong de zuo yong. shu zhong an pai le yi xie xi ti, qi zhong yi bu fen shi bang zhu du zhe jia shen li jie xiang guan zhi shi de lian xi, ling yi bu fen ti gong le dui zheng wen nei rong de jin yi bu tui guang, hai you yi xie ze shi ti chu le yin fa du zhe jin yi bu si kao de wen ti.