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使用數(shù)學(xué)模型選擇的方法對(duì)古典鋼琴演奏中樂句節(jié)奏類型的決定因素進(jìn)行建模

發(fā)布時(shí)間:2018-05-19 11:46

  本文選題:節(jié)奏型 + 模型選擇; 參考:《復(fù)旦學(xué)報(bào)(自然科學(xué)版)》2017年02期


【摘要】:在古典鋼琴演奏中,對(duì)樂句中節(jié)奏線條進(jìn)行分類是一種常用做法.很多音樂學(xué)家在音樂學(xué)研究中對(duì)于樂句中節(jié)奏線條類型的選擇因素做出了不同的假設(shè).這些假設(shè)通常關(guān)注兩大類因素:樂句本身的屬性和節(jié)奏變化的時(shí)序關(guān)系.使用樂句位置和前序樂句中節(jié)奏線條的類型作為對(duì)于樂句節(jié)奏線條類型決定因素的抽象成因,4個(gè)貝葉斯圖模型假設(shè)被用來(lái)進(jìn)行對(duì)比測(cè)試,從而揭示古典鋼琴演奏中對(duì)于樂句的節(jié)奏線條類型的決定因素.根據(jù)相對(duì)熵、交叉熵和作者自行擬定的交叉熵比在內(nèi)的3個(gè)模型表現(xiàn)衡量標(biāo)準(zhǔn),聯(lián)合模型,即考慮單一樂句節(jié)奏型的選取與前序樂句中節(jié)奏型和樂句位置均相關(guān)的候選貝葉斯圖模型,能夠較為準(zhǔn)確地折射出在古典鋼琴演奏過(guò)程中,為樂句選取節(jié)奏型的影響因素.
[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.
【作者單位】: 北京郵電大學(xué)信息光子學(xué)與光通信研究院;
【分類號(hào)】:J624.1;O236


本文編號(hào):1909971

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