Be´la Barto´k의 <Mikrokosmos> 에 나타난 黃金分割法에 關한 硏究 = A Study for Golden Section of Bartok's Mikrokosmos

다국어 초록 (Multilingual Abstract)

The aim of the Barto´k's Mikrokosmos Is to teach students the elements of music composition by means of contemporary produces. In fact, a considerable number of sources refer to the work as a textbook for composers.
His tonal system grew out of functional music. An uninterrupted line of evolution can be followed from the beginnings of functional concepts, through the harmonies of Viennese classism and the tone-world of romanticism to his AXIS SYSTEM.
By an analysis of his compositions, this axis system can primarily be shown to possess the essential properties of classical harmony i, e. ① The functional affinities of the fourth and fifth degrees, ②the revolutionship of relative major and minor keys ③the overtone relations ④the role of leading notes ⑤the opposite tension of the dominant and subdominant ⑥the duality of tonal and distance principles.
In his music, GOLDEN SECTION and FIBONACCI SERIES are used very frequently. In the use of chords and intervals of his music, there are two kinds of systems. One is the chromatic system and the other is the diatonic system. His chromatic system is based on the laws of Golden Section and especially, Fibonaccis numerical series. His diatony is simply an exact and sytematic inversion of the laws of his chromatic technique, ie, the GS rules.
What role did Barto´k's art play in the music of our country? His chromatic system has its roots in Eastern folk music and in pentatony : his acoustic he owed to Western harmonic thinking. He himself admitted his indebtedness to folk music and the French impressionists as the two most descisive influences on his art.
Should his position in music be summed up in a single sentence it might run as follows : Barto´k achieved something that no-one had before his time, the symbolic handshake between West and East : a synthesis of the music of Orient and Occident.

목차 (Table of Contents)

• Ⅰ. 序言
• 1. 硏究目的 및 必要性
• 2. 硏究의 方法 및 範圍
• Ⅱ. 本論
• 1. 調性的 原理
• ⓐ 中心軸 體系
• 2. 形式原理
• ⓐ 黃金分割
• ⓑ Fibonacci Series
• 3. 樂曲分析
• 1) 第78曲 Five-tone Scale
• 2) 第91曲 Chromatic Invention
• 3) 第109曲 From the Island of Bali
• 4) ㉠ 第125曲 Boating ㉡ 第131曲 Fourths
• 5) 第136曲 Whole-Tone Scale
• 6) 第143曲 Divided Arpeggios
• 7) 第144曲 Minor Seconds, Major Sevenths
• Ⅲ. 結論
• 參考文獻