对数简史与音程值

Interval Value and A Briefer History of Logarithm

音程的表示方法从最初的弦线比,到现代物理对频率概念提出后的频率比,随着对音程概念本身理解的逐渐深入,音程计算方法也越来越多的依赖于数学的发展.其中19世纪开始引入的对数计算方法为音程计算注入了新的生命力.文章根据大量原始文献,介绍了对数简史及其应用到音程计算的始末,并还原了音程计算方法的设计原理.

After the modern physics show us the conception of frequency,the method to express interval from the strings ratio to the frequency ratio.With the development of mathematics,the will begin to introduce the concept of the measurement,the establishment of the ＂interval value＂ concept.The 19th century begin to introduce the concept of logarithm should be taken so as to vitalize the calculation of interval.This paper summarizes the history and principle of logarithm and the processes of the way they used to calculate the interval,at last returned the design principle of these methods.