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Major and Minor Harmonic Keys： The Discrepancy in Chord Classification Under a Computational tonality Analytical Method

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Journal of Literature and Art Studies 2013年第6期3卷 381-390页

作者： Miroslaw Majchrzak Karol Lipifiski Academy of Music Wroclaw Institute of Art of the Polish Academy of Sciences Warsaw Poland

Basing upon the tonality analytic method, the present paper aims at：（1） Drawing attention to the subordination of the minor key vs. the major key in the chord classification, using the same methodology; and （2） Showing the differences for the major key and the minor （harmonic） key in the classification of chords, as an aspect of importance for interpreting a piece＇s tonal structure diagram. The relations between chords appearing in the major and minor （harmonic） key will be shown by applying the comparisons of：（1） third-based chords; and （2） degrees in the C major and A minor keys, on which the same diatonic chords appear.

关键词： tonality modes classification of diatonic chords methodology

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

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Journal of Literature and Art Studies 2014年第1期4卷 34-45页

作者： Miroslaw Majchrzak Karol Lipińiski Academy of Music Institute of Art of the Polish Academy of Sciences Wroclaw School of Banking Wroclaw Poland

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

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An Analysis of the E.E. Cummings’ “L(a”

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海外英语 2014年第14期 184-185页

作者： JIN Xiao Zhejiang Normal University

E.E. Cummings is an American poet who is famous for his fantastic poems. L(a, one of his representative works, is a unique visual poem that shows Cummings' feeling of loneliness and takes readers into a sentimental scene. A great many researches have been done on this poem focusing on the morphology, visual effects, tonality and Cummings' inner world. However, a comprehensive literature review of this poem has hardly been made. Thus, this paper sums up some representative comments of these aspects, doing a literature review of it and then puts forward the author's own interpretation to make a contribution to the future studies of the poem.

关键词： morphology vision effects tonality inner world lon

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