律学计算体系的比较研究
发布时间：2019-06-25 11:13
【摘要】：三分损益律、五度相生律、纯律和十二平均律是中西方律学史上占主导地位的几种律制。它们在不同文化、科技背景下产生,由于人类共有的听觉以及计数体系,共同反映了运用数学方法解释音乐声学的特性。对律学计算体系的比较研究为更好的认识人类社会不同文明下的律学发展规律提供了客观可行性。 有鉴于此,本文突破了以往运用现代音乐理论比较律制关系,将此对比限定在音乐史、律学史及音乐实践范围内的惯例。本文结合有关历史文献,对律学计算方法进行了一系列的考证： 1.依次介绍律学史上各主要律制的生律方法、音程计算基础、演变动力和过程； 2.统一了律制计算参数,逐步建立起律学计算的数学公式体系； 3.通过对这些计算公式的比较探寻它们之间的联系,将三分损益律的计算进行了统一化处理,使得统一后的三分损益律同十二平均律之间取得了联系,同时又介于十二平均律与纯律之间； 4.最后从数学物理方面对上述律制计算体系比较所得结论做出了解释。 统一公式化方法结合律学数理本质,达到了简化和深入律学计算研究的目的,使律制计算体系的比较研究成为现实,同时又探索出了一种更加合理的比较研究途径,为律学研究提供了新的工具。
[Abstract]:The law of profit and loss, the law of five degrees, the law of pure law and the law of twelve average are the dominant laws in the history of law in China and the West. They are produced in different cultures and scientific and technological backgrounds. Because of the common hearing and counting system, they reflect the use of mathematical methods to explain the characteristics of music acoustics. The comparative study of the calculation system of law provides an objective feasibility for better understanding the law of the development of law under different civilizations of human society. In view of this, this paper breaks through the previous practice of using modern music theory to compare the relationship between law and law, and limits the comparison to the history of music, the history of law and the scope of music practice. Based on the relevant historical literature, this paper makes a series of textual research on the calculation methods of law: 1. This paper introduces in turn the biological law methods of the main legal systems in the history of law, the calculation basis of the sound range, the evolution motive force and the process; 2. The calculation parameters of the law system are unified, and the mathematical formula system of the law calculation is gradually established. Through the comparison of these formulas to explore the relationship between them, the calculation of the law of profit and loss is unified, so that the unified law of profit and loss is related to the twelve average law, and at the same time, it is between the twelve average law and the pure law. Finally, the conclusion of the comparison of the above legal calculation system is explained from the aspect of mathematics and physics. Combined with the mathematical essence of law, the unified formulaic method achieves the purpose of simplifying and deepening the research of law calculation, makes the comparative study of law system calculation system become a reality, and at the same time explores a more reasonable way of comparative research, which provides a new tool for the study of law.
【学位授予单位】：西北大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：J60
本文编号：2505638
[Abstract]:The law of profit and loss, the law of five degrees, the law of pure law and the law of twelve average are the dominant laws in the history of law in China and the West. They are produced in different cultures and scientific and technological backgrounds. Because of the common hearing and counting system, they reflect the use of mathematical methods to explain the characteristics of music acoustics. The comparative study of the calculation system of law provides an objective feasibility for better understanding the law of the development of law under different civilizations of human society. In view of this, this paper breaks through the previous practice of using modern music theory to compare the relationship between law and law, and limits the comparison to the history of music, the history of law and the scope of music practice. Based on the relevant historical literature, this paper makes a series of textual research on the calculation methods of law: 1. This paper introduces in turn the biological law methods of the main legal systems in the history of law, the calculation basis of the sound range, the evolution motive force and the process; 2. The calculation parameters of the law system are unified, and the mathematical formula system of the law calculation is gradually established. Through the comparison of these formulas to explore the relationship between them, the calculation of the law of profit and loss is unified, so that the unified law of profit and loss is related to the twelve average law, and at the same time, it is between the twelve average law and the pure law. Finally, the conclusion of the comparison of the above legal calculation system is explained from the aspect of mathematics and physics. Combined with the mathematical essence of law, the unified formulaic method achieves the purpose of simplifying and deepening the research of law calculation, makes the comparative study of law system calculation system become a reality, and at the same time explores a more reasonable way of comparative research, which provides a new tool for the study of law.
【学位授予单位】：西北大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：J60
【引证文献】
相关硕士学位论文 前1条
1 梁郑光;《论诸民族的音阶》的翻译与校勘[D];中国艺术研究院;2013年
，本文编号：2505638
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