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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 電信工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66526
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dc.contributor.advisor鄭士康
dc.contributor.authorWei-An Chenen
dc.contributor.author陳韋安zh_TW
dc.date.accessioned2021-06-17T00:40:36Z-
dc.date.available2012-02-16
dc.date.copyright2012-02-16
dc.date.issued2011
dc.date.submitted2012-01-18
dc.identifier.citation[1] J. Cage and C. Berberian. Aria: with Fontana mix. Time, 1969.
[2] C. Callender, I. Quinn, and D. Tymoczko. Generalized voice-leading spaces. Sci-ence, 320(5874):346, 2008.
[3] W. Chan and H. Qu. A Report on Musical Structure Visualization. 2007.
[4] C.-C. Chang and C.-J. Lin. LIBSVM: a library for support vector machines, 2001. Software available at http://www.csie.ntu.edu.tw/ ̃cjlin/libsvm.
[5] J. Ellson, E. Gansner, L. Koutsofios, S. North, and G. Woodhull. Graphviz open source graph drawing tools. In Graph Drawing, pages 594–597. Springer, 2002.
[6] J. Foote. Visualizing music and audio using self-similarity. In ACM Multimedia, volume 1, pages 77–80. Citeseer, 1999.
[7] M. Keith. From polychords to polya: adventures in musical combinatorics, page 48. Vinculum Press, 1991.
[8] C. Krumhansl. The geometry of musical structure: a brief introduction and history. Computers in Entertainment (CIE), 3(4):1–14, 2005.
[9] C. McKay. Automatic genre classification of MIDI recordings. PhD thesis, Citeseer, 2004.
[10] B. Mokbel, A. Hasenfuss, and B. Hammer. Graph-based representation of symbolic musical data. Graph-Based Representations in Pattern Recognition, pages 42–51, 2009.
[11] M. E. J. Newman. The structure and function of complex networks. ArXiv Con- densed Matter e-prints, Mar. 2003.
[12] C.Sapp.Harmonicvisualizationsoftonalmusic.InProceedingsoftheInternational Computer Music Conference, volume 1001, pages 423–430. Citeseer, 2001.
[13] H. Schenker. Harmony. University of Chicago Press, 1980.
[14] M. Shan and F. Kuo. Music style mining and classification by melody. IEICE
TRANSACTIONS on Information and Systems, 86(3):655–659, 2003.
[15] J. Snydal and M. Hearst. Improviz: visual explorations of jazz improvisations. In CHI’05 extended abstracts on Human factors in computing systems, pages 1805– 1808. ACM, 2005.
[16] H. Taube. Automatic tonal analysis: Toward the implementation of a music theory workbench. Computer Music Journal, 23(4):18–32, 1999.
[17] E. Tufte and G. Howard. The visual display of quantitative information, volume 16, page 13. Graphics press Cheshire, CT, 1983.
[18] M. Wattenberg. The shape of song. Website http://www.turbulence.org/Works/song/mono.html, 2001.
[19] T. Winograd. Linguistics and the computer analysis of tonal harmony. Journal of Music Theory, 12(1):2–49, 1968.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66526-
dc.description.abstract音樂是有規則的時間序列, 其規則之一為和聲學。傳統和聲學規則 肇始於複音音樂,完備於主音音樂,在非調性音樂又趨於瓦解。若能 利用電腦輔助分析和聲學規則, 則可以幫助理解音樂, 甚至創造新的音 樂規則。
本論文將音樂行進之和聲取出, 並以圖論為模型, 企圖描述音樂背後 隱含的和聲規則。 將此模型視覺化, 可發現其與傳統和聲理論有不謀 而合之處。本文重點之一在於描述此模型與和聲學之異同。
此外, 利用社群網路分析之技巧, 得以擷取圖之若干特徵, 這些特徵 表現了不同音樂風格之特性。利用機器學習方法, 擷取之特徵作為資 料, 可以驗證這些特徵值的確能夠體現並分辨不同風格之音樂。
zh_TW
dc.description.provenanceMade available in DSpace on 2021-06-17T00:40:36Z (GMT). No. of bitstreams: 1
ntu-100-R98942051-1.pdf: 4754523 bytes, checksum: 5e66f2ebd15dec5dd75ccbb7a2e80936 (MD5)
Previous issue date: 2011
en
dc.description.tableofcontents致謝 i
中文摘要 ii
1 Introduction 1
1.1 Motivation.................................. 1
1.2 KeyContribution .............................. 2
1.3 LiteratureSurveyandRelatedWorks.................... 3
1.4 ChapterOutline............................... 4
2 Music Theory Background 6
2.1 ChromaticScale............................... 6
2.2 MajorScaleandTriad............................ 7
2.3 TonalityandRulesofHarmony....................... 7
2.4 Harmonic Characteristic of Polyphonic, Homophonic, and Atonal Music . 8
2.5 HarmonicRhythmandNotationalRhythm................. 8
3 Social Network Analysis Background 10
3.1 GraphTheoryandSocialNetworkAnalysis . . . . . . . . . . . . . . . . 10
3.2 StatisticPropertiesofaNetwork ...................... 11
3.2.1 AveragePathLength ........................ 11
3.2.2 ClusterCoefficient ......................... 11
3.2.3 PowerLaw ............................. 12
4 Harmony Graph, the Model 13
4.1 DefinitionofHarmony ........................... 13
4.2 EncodingofHarmony............................ 13
4.3 ConstructionofHarmonyGraph ...................... 14
5 Results and Discussions 17
5.1 TheFiveCategories............................. 17
5.2 CorpusVisualization ............................ 17
5.3 SocialNetworkAnalysis .......................... 21
5.3.1 DegreeDistribution......................... 22
5.3.2 AveragePathLength ........................ 22
5.3.3 ClusteringCoefficient ....................... 26
5.3.4 Agglomeration ........................... 26
5.4 CorpusDistinguishing ........................... 28
6 Conclusion and Future Works 29
6.1 Conclution.................................. 29
6.2 FutureWorks ................................ 29
Bibliography 31
Appendix 33
dc.language.isoen
dc.subject社群網路分析zh_TW
dc.subject風格辨識zh_TW
dc.subject資訊視覺化zh_TW
dc.subject音樂視覺化zh_TW
dc.subjectmusic visualizationen
dc.subjectinformation visualizationen
dc.subjectsocial network analysisen
dc.subjectgenre classificationen
dc.titleHarmony Graph: 基於社群網路之音樂內容表示模型及其在音樂視覺化和風格辨認之應用zh_TW
dc.titleHarmony Graph, a Social-Network Based Model for Symbolic Music Content, and its Application to Music Visualization and Genre Classificationen
dc.typeThesis
dc.date.schoolyear100-1
dc.description.degree碩士
dc.contributor.oralexamcommittee楊建章,趙菁文,沈錳坤
dc.subject.keyword音樂視覺化,資訊視覺化,社群網路分析,風格辨識,zh_TW
dc.subject.keywordmusic visualization,information visualization,social network analysis,genre classification,en
dc.relation.page35
dc.rights.note有償授權
dc.date.accepted2012-01-19
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept電信工程學研究所zh_TW
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