臺灣博碩士論文加值系統

本論文旨在探討K-net分析法於巴赫第一冊《平均律》三聲部本調答句複格曲上之應用實踐。此研究是在K-net分析法的基礎上，參照宣克分析法中以和聲對位的採音方式，試圖找出複格重要元素：主題、答句、對句、插句樂段、以及各曲中異調性主題之骨幹音，將其簡化的骨幹音做K-net轉化及遞迴現象關係探討，並探索這些轉化結構是否能呼應樂曲中的進行或發展。
研究成果發現，K-net分析法於主題、答句、對句的轉化及遞迴現象中，在第一、第二階層皆有規律性，且第三階層的K-net結構，能與樂曲時間上的進行相呼應。插句樂段方面，雖相似插句在八度可轉式對位以及下行五度的模進方式下最能產生一致的K-net轉化值，八度可轉式對位以及上行五度至六度的模進方式次之，但和聲進行的和絃結構銜接才是擁有相同轉化值的關鍵。在異調性主題方面，無論主題由原調轉至第一個異調，或由最後一個異調轉回原調，只要主調與異調主題在旋律骨幹音皆為I-V7-I的情況下，其第二階層K-net之間的轉化會產生《T4》或《T8》數值 。

This thesis examines K-net analytical applications to J. S. Bach’s three-part fugues, which contain tonal answers, from the Well-Tempered Clavier Book I. The research explores K-net transformations and hierarchically recursive structures among chords which represent essentially harmonic and contrapuntal structures of fugues. Schenkerian Analysis is chosen to help selecting fundamental chords from subjects, answers, countersubjects, and episode of fugues. Individual chords are shown to be comparable to networks of chords, networks of networks, and so forth. Their transformations illustrate the relationship between K-nets and compositional progress.
The study explains that certain patterns occur in different structure-levels of K-net transformations and respond to fugal compositional procedures. The K-nets between corresponding episodes display the most consistent transformations resulting from operating octave invertible counterpoint and descending-fifth harmonic sequence among voices. The next best transformations happen when voices employ octave invertible counterpoint and ascending 5-6 harmonic sequence. The chordal structure of harmonic progression yet proves itself as the most crucial factor. Finally, the K-nets between subjects in different keys illustrate the《T4》or《T8》 transformations appear when the fundamental harmonic progression of each comparable subject is I-V7-I.

目 次
中文摘要 i
英文摘要 ii
目次 iii
表次 iv
圖次 v
第一章 緒論 1
第一節 研究動機 1
第二節 研究目的 3
第三節 研究範圍 5
第四節 研究方法 6
第二章 文獻探討 8
第一節 K-net概述 8
第二節 K-net產生背景 9
第三節 K-net分析法 17
第四節 K-net分析法在音樂分析中之應用 26
第五節 K-net分析法之延伸研究 33
第三章 K-net分析法於巴赫六首複格曲之探討 44
第一節 主題、答句、對句K-net轉化結構 44
第二節 插句K-net轉化結構 64
第三節 異調性主題第二階層K-net轉化與調性關聯 92
第四章 結論 113
第一節 回顧 113
第二節 研究成果 114
第三節 後續研究方向 119
參考資料 123

參考資料
中文資料
烏利希‧密赫爾斯(Ulrich Michels)著，劉岠渭主譯。《音樂圖驥》。台北市：小雅音樂圖書有限公司，2006。
劉彥玲。〈Allen Forte音類集理論的發展〉。國立台灣大學碩士論文，2001。

外文資料
Aldwell, Edward and Carl Schachter. Harmony and Voice Leading, 3rd Edition. Belmont: Wadsworth Group/Thomson Learning, 2003.
Buchler, Michael. “Reconsidering Klumpenhouwer Networks”, Music Theory Online, Vol. 13, Nr. 2, 2007.
Foley, Grerchen C. “Arrays and K-Nets: Transformational Relationships Within Perle’s Twelve-Tone Tonality”, Indiana Theory Review, Vol. 23: 69-97, 2002.
Groocock, Joseph. Edited by Yo Tomita. Fugal Composition: A Guide to the Study of Bach's '48'. Connecticut: Greenwood, 2003.
Ian D. Bent and Anthony Pople. "Analysis." In Grove Music Online. Oxford Music Online, http://www.oxfordmusiconline.com/subscriber/article/grove/music/41862pg2 (accessed June 16, 2011).
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Klumpenhouwer, Henry. “Aspects of Depth in K-net Analysis with Special Reference to Webern’s Opus 16/4”, Journal of Music Theory, Vol. 49, No. 1, 2008.
Lansky, Paul et al. "Atonality." In Grove Music Online. Oxford Music Online, http://www.oxfordmusiconline.com/subscriber/article/grove/music/47354 (accessed February 13, 2011).
Ledbetter, David. Bach's Well-tempered Clavier: The 48 Preludes and Fugues. New Haven: Yale University Press, 2002.
Lewin, David. “ Transformational Techniques in Atonal and Other Music Theory ”, Perspectives of New Music, Vol. 21, No. 1/2 (Autumn, 1982 – Summer, 1983): 312-371.
Lewin, David. “Klumpenhouwer Networks and Some Isographies that Involve Them”, Music Theory Spectrum, Vol. 12, No. 1 (1990): 83-120.
Lewin, David. “A Tutorial on Klumpenhouwer Networks , Using the Chorale in Schoenberg’s Opus 11, No. 2”, Journal of Music Theory, Vol. 38, No. 1, 1994.
Lewin, David. “Thoughts on Klumpenhouwer Networks and Perle-Lansky Cycles”, Music Theory Specturm, Vol. 24, No. 2, 2002.
Lewin, David. Generalized Musical Intervals and Transformations. London: Oxford, 2007.
Losada, Catherine. “K-nets and Hierarchical Structure Recursion: Further Considerations”, Music Theory Online, Vol. 13, Nr. 3, 2007.
Renwick, William. Analyzing Fugue: A Schenkerian Approach. New York: Pendragon, 1995.
Schenker, Heinrich. Free Composition: Volume III of New Theories and Fantasies, tran. and ed. by Ernst Oster. Hillsdale: Pendragon Press, 1977.
Stewart, Ian. Concepts of Modern Mathematics. New York: Dover, 1995.
Stoecker, Philip. “Without a Safety (k)-Net”, Music Theory Online, Vol. 13, Nr. 3, 2007.

樂譜
Bach, Johann Sebastian. Preludes and Fugues Nos.1–12, BWV 846–857. Leipzig: Edition Peters, n. d. 1937.
Bach, Johann Sebastian. Preludes and Fugues Nos.13–24, BWV 858–869. Leipzig: Edition Peters, n. d. 1937.