三律之音分解

Cent Explanation of Three Turning Systems

音律是指乐音音高的准确高度及其相互关系,是人们在长期的社会生活实践中对大自然无穷尽谐音列体系(Harmonic tone series)认识的结果。音分(cent)是描述、记录音律最为方便、准确的方法之一。本文以音分为手段,穷尽各种算法,对三律之五度相生律、十二平均律、纯律中各律十二音共同音分值结果罗列出了多种计算方法,且对三律之总的生律方法、运算共性做了十三种解读,力图通过多种解算思维,有助于实践律学在乐器制造、乐器调律与实际演唱演奏中得到开发运用。

Turning refers to the exact height and correlations of musical tone＇s pitch,and it is the results that individuals experienced a long-term social life,and they acquaint themselves with endless Harmonic Tone Series in nature.Cent is one of the most convenient and the most accurate method of describing and recording Turning.This paper based on the Cent,by using a variety of algorithms,to enumerate multiple computational methods on the basis of the Fifth-cyclel temperament,Twelve-tone equal temperament,and Just intonation＇s value results of the every turning＇s dodecaphonic common cent,and further to explain born turning methods and general character of operation of three turning systems with thirteen different ways.Through diversified resolving thoughts,it is striving to help practical turning study in the musical instrument making,the instrument turning and the actual singing rhythm to be developed and applied.