使用数学模型选择的方法对古典钢琴演奏中乐句节奏类型的决定因素进行建模

发布时间：2018-05-19 11:46

  本文选题：节奏型 + 模型选择　； 参考：《复旦学报(自然科学版)》2017年02期

【摘要】：在古典钢琴演奏中,对乐句中节奏线条进行分类是一种常用做法.很多音乐学家在音乐学研究中对于乐句中节奏线条类型的选择因素做出了不同的假设.这些假设通常关注两大类因素:乐句本身的属性和节奏变化的时序关系.使用乐句位置和前序乐句中节奏线条的类型作为对于乐句节奏线条类型决定因素的抽象成因,4个贝叶斯图模型假设被用来进行对比测试,从而揭示古典钢琴演奏中对于乐句的节奏线条类型的决定因素.根据相对熵、交叉熵和作者自行拟定的交叉熵比在内的3个模型表现衡量标准,联合模型,即考虑单一乐句节奏型的选取与前序乐句中节奏型和乐句位置均相关的候选贝叶斯图模型,能够较为准确地折射出在古典钢琴演奏过程中,为乐句选取节奏型的影响因素.
[Abstract]:In classical piano playing, it is a common method to classify rhythmic lines in sentences. Many musicologists have made different assumptions about the selection of rhythmic line types in sentences in musicological studies. These assumptions usually focus on two categories of factors: the attributes of the phrase itself and the temporal relationship of rhythm changes. Using the position of the phrase and the type of the rhythmic line in the antecedent phrase as the abstract cause of the determinants of the rhythmic line type of the sentence, four Bayesian diagram model assumptions were used to carry out the comparative tests. Thus, it reveals the determinants of the rhythm and line type of the sentence in classical piano performance. According to the relative entropy, cross entropy and the ratio of cross entropy developed by the author, the performance standard of three models, the joint model, That is to say, considering the candidate Bayesian diagram model in which the rhythmic type of a single sentence is related to both the rhythm type and the position of the sentence in the preorder sentence, it can accurately reflect the factors that affect the choice of rhythm type in the classical piano playing process.
【作者单位】： 北京邮电大学信息光子学与光通信研究院;
【分类号】：J624.1;O236
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本文编号：1909971