| 论安清翘与朱载堉律学计算法的实质 |
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| 引用本文： | 黄勇. 论安清翘与朱载堉律学计算法的实质[J]. 太原理工大学学报(社会科学版), 2009, 27(1): 50-54 |
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| 作者姓名： | 黄勇 |
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| 作者单位： | 太原科技大学,哲学研究所,山西,太原,030024;西北大学,数学系,陕西,西安,710068 |
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| 摘 要： | 清代数学家安清翘在音律计算方面有重要的成就，明确了等比数列的通项公式，建立了正确的公比概念。而明代律学家朱载堉的十二平均律算法，实质上是中国传统的勾股算数方法，并没有清晰的公比概念，也没有建立起等比数列的通项公式。因此，安清翘与朱载堉的音律计算法有本质区别。
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| 关 键 词： | 十二平均律 勾股算术 “率” |
On Musical Logarithms of An Qingqiao and Zhu Zaiyu |
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| HUANG Yong. On Musical Logarithms of An Qingqiao and Zhu Zaiyu[J]. Journal of Taiyuan University of Technology(Social Sciences Edition), 2009, 27(1): 50-54 |
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| Authors: | HUANG Yong |
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| Affiliation: | HUANG Yong(1. Research Institute of Philosophy of Taiyuan Science and Technology University, Taiyuan Shanxi 2. Mathematics department of Northwestern 030024, China University, Xi＇ an Shaanxi 710068, China) |
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| Abstract: | An Qingqiao,the scholar of Qing Dynasty,was the first person who used geometric proportion to the calculation of the rhythm of the sound. His method of the rhythm of the sound was essentially different from that of Zhu Zaiyu. An Qingqiao＇s thoughts of rhythm of sound represented the modernization of Chinese rhythm of the sound. |
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| Keywords: | geometric proportion Pythagorean proposition arithmetic rhythm |
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