音程比较法求解集合原型
发布时间：2019-07-03 12:36
【摘要】：本文根据"福特‘音高级标记法'产生的原型pcs数列等于‘音程级标记法'之原型数列"以及"‘倒影之逆行'的逆向音程级数列等于集合原型的顺向pcs数列"之原理,在参照他人研究成果的基础上。通过分析比较、梳理归纳,提出利用音程比较法求解集合原型的新思路。采用本文方法求解集合原型,使用时只需将音高截段各音级在谱表上构成有序集合排列并高八度重复一次,然后按照本文求解步骤,通过音程比较,确定最大音程,定位起始音级,即可直接写出集合原型的数列形式(pcs),进而求得集合原型各项参数,为应用集合理论研究无调性音乐提供了便利途径。
[Abstract]:In this paper, according to the principle that the prototype pcs sequence produced by Ford 'sound advanced marking method is equal to the prototype sequence of' step level marking method 'and the reverse range series sequence of' retrograde reflection'is equal to the forward pcs sequence of set prototype, on the basis of referring to the research results of others. Through analysis and comparison, this paper puts forward a new idea of using range comparison method to solve the set prototype. The method in this paper is used to solve the set prototype, in which only the pitch cut segments are arranged in an ordered set on the spectral table and the high octave is repeated once. Then, according to the steps of this paper, the maximum range is determined by the range comparison, and the initial sound level is located, so that the sequence form (pcs), of the set prototype can be written directly, and then the parameters of the set prototype can be obtained. It provides a convenient way to study tonal music by using set theory.
【作者单位】： 鲁东大学音乐学院;
【分类号】：J614.5
本文编号：2509387
[Abstract]:In this paper, according to the principle that the prototype pcs sequence produced by Ford 'sound advanced marking method is equal to the prototype sequence of' step level marking method 'and the reverse range series sequence of' retrograde reflection'is equal to the forward pcs sequence of set prototype, on the basis of referring to the research results of others. Through analysis and comparison, this paper puts forward a new idea of using range comparison method to solve the set prototype. The method in this paper is used to solve the set prototype, in which only the pitch cut segments are arranged in an ordered set on the spectral table and the high octave is repeated once. Then, according to the steps of this paper, the maximum range is determined by the range comparison, and the initial sound level is located, so that the sequence form (pcs), of the set prototype can be written directly, and then the parameters of the set prototype can be obtained. It provides a convenient way to study tonal music by using set theory.
【作者单位】： 鲁东大学音乐学院;
【分类号】：J614.5
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