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Computational Analysis of Key and Harmony focusing on Bachs Works : 바흐의 작품을 중심으로 조와 화성에 대한 계산적 분석
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 국웅 | - |
dc.contributor.author | 권영흠 | - |
dc.date.accessioned | 2018-05-29T05:07:35Z | - |
dc.date.available | 2018-05-29T05:07:35Z | - |
dc.date.issued | 2018-02 | - |
dc.identifier.other | 000000150118 | - |
dc.identifier.uri | https://hdl.handle.net/10371/142449 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 2. 국웅. | - |
dc.description.abstract | This study aimed to analyze key and harmony in music. Works by Johann Sebastian Bach are the main material of this study. Using works by Bach, the main target of analysis are three properties of keys. Major and minor is to observe differences of major keys and minor keys. Key characteristic is about characteristics of each major and minor key. Key distance is to check theoretical distance between keys.
Temperaments determine frequencies of pitches and affect harmony. Frequency ratios are the fundamental part to compute harmony in this study. The ratios were intentionally designed to analyze harmony in musical works and to check three properties of keys. Using them, vertical harmony (VH) and horizontal harmony (HH) were computed for each musical work, and their dispersion within a work was also defined and computed. From the result of computation, this study answered three properties of keys. Major and minor was verified so that harmony in minor is 35% (47%) more intensive (more dispersed) then harmony in major. Key characteristic was too weak to be significant for both major and minor keys. Key distance was not realistic, being unsupported by computation. | - |
dc.description.tableofcontents | 1 Introduction 1
1.1 Analysis of musical works 1 1.2 Semitones and octaves 1 1.3 Temperaments 2 1.4 Keys and the circle of fifths 4 1.5 Properties of keys 8 2 Foundation 10 2.1 Classical theory of consonance and dissonance 10 2.2 Wave and frequency ratio 11 2.3 Interval Harmony (IH) 12 3 Modeling 19 3.1 Pitches to Pitch Value (PV) 19 3.2 PV to ID to IH 20 3.3 Vertical Harmony (VH) and Horizontal Harmony (HH) 20 3.4 Mean and sum of VH and HH 21 3.5 Initial Rhythm Set (IRS) 22 3.6 Dispersion of VH and HH 22 4 Computer process 25 4.1 Score to pitches 25 4.2 Pitches to IH 26 4.3 Intensity factors 27 4.4 Dispersion of the four factors 29 5 Analysis 30 5.1 Major and minor 31 5.2 Key characteristic 32 5.3 Key distance 49 | - |
dc.format | application/pdf | - |
dc.format.extent | 5972486 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Bach | - |
dc.subject | Temperament | - |
dc.subject | Frequency ratio | - |
dc.subject | Key | - |
dc.subject | Harmony | - |
dc.subject.ddc | 510 | - |
dc.title | Computational Analysis of Key and Harmony focusing on Bachs Works | - |
dc.title.alternative | 바흐의 작품을 중심으로 조와 화성에 대한 계산적 분석 | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | Youngheum Kwon | - |
dc.description.degree | Master | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2018-02 | - |
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