Some Remarks Regarding Originality and Historical Transformations of Chopin＇s Mazurkas, as Based on the Mathematical Systematic Method of the Tonal Structure Analysis  

作　　者：Miroslaw Majchrzak 

机构地区：[1]Karol Lipińiski Academy of Music [2]Institute of Art of the Polish Academy of Sciences [3]Wroclaw School of Banking, Wroclaw, Poland

出　　处：《Journal of Literature and Art Studies》2014年第1期34-45,共12页文学与艺术研究（英文版）

摘　　要：Musical analysis enables us to study the various elements of a musical work, for example texture, m dynamics, or harmony （including tonality）. Thanks to musical analysis we are able to trace the compos technique, or assess the artistic value of given work. In addition to traditional, descriptive methods of e it ody, onal music analysis, we can observe in 20th century the development of methods based on science （mathematics, otherwise statistics）. Such methodologies allow us to obtain a strict understanding of the structure of musical pieces Applying mathematical methods for musical analysis seems very reasonable in relation to the output of Frederic Chopin, due to large originality of the elements of musical pieces of this composer. Present paper was written as a result of research related to the applying of numerical method of analysis for exploring the tonal structure of Chopin＇s works. The author＇s research method enables a strict analysis of the chord＇s domination that can be classified under given key （range）--taking into consideration the harmonic functions. By the method of analysis we can get charts that depict whole diatonic vertical music material of the given piece. The main objective of the present study is to describe observations on the high uniqueness in the tonal construction of selected Chopin＇s mazurkas, especially, when compared to the miniatures of other composers of the first half of the 19th century and previously analyzed Chopin＇s pieces： etudes, preludes, and songs.

关 键 词：computational musicology music analysis Chopin＇s mazurkas TONALITY 

分 类 号：O342[理学—固体力学] TN216[理学—力学]