Bach Is the Father of Harmony: Revealed by a 1/f Fluctuation Analysis across Musical Genres
Identifieur interne : 000007 ( Main/Exploration ); précédent : 000006; suivant : 000008Bach Is the Father of Harmony: Revealed by a 1/f Fluctuation Analysis across Musical Genres
Auteurs : Dan Wu [République populaire de Chine] ; Keith M. Kendrick [République populaire de Chine] ; Daniel J. Levitin [Canada] ; Chaoyi Li [République populaire de Chine] ; Dezhong Yao [République populaire de Chine]Source :
- PLoS ONE [ 1932-6203 ] ; 2015.
Abstract
Harmony is a fundamental attribute of music. Close connections exist between music and mathematics since both pursue harmony and unity. In music, the consonance of notes played simultaneously partly determines our perception of harmony; associates with aesthetic responses; and influences the emotion expression. The consonance could be considered as a window to understand and analyze harmony. Here for the first time we used a 1/f fluctuation analysis to investigate whether the consonance fluctuation structure in music with a wide range of composers and genres followed the scale free pattern that has been found for pitch, melody, rhythm, human body movements, brain activity, natural images and geographical features. We then used a network graph approach to investigate which composers were the most influential both within and across genres. Our results showed that patterns of consonance in music did follow scale-free characteristics, suggesting that this feature is a universally evolved one in both music and the living world. Furthermore, our network analysis revealed that Bach’s harmony patterns were having the most influence on those used by other composers, followed closely by Mozart.
Url:
DOI: 10.1371/journal.pone.0142431
PubMed: 26545104
PubMed Central: 4636347
Affiliations:
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Close connections exist between music and mathematics since both pursue harmony and unity. In music, the consonance of notes played simultaneously partly determines our perception of harmony; associates with aesthetic responses; and influences the emotion expression. The consonance could be considered as a window to understand and analyze harmony. Here for the first time we used a 1/f fluctuation analysis to investigate whether the consonance fluctuation structure in music with a wide range of composers and genres followed the scale free pattern that has been found for pitch, melody, rhythm, human body movements, brain activity, natural images and geographical features. We then used a network graph approach to investigate which composers were the most influential both within and across genres. Our results showed that patterns of consonance in music did follow scale-free characteristics, suggesting that this feature is a universally evolved one in both music and the living world. 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Garcia-Lazaro</name></author><author><name sortKey="Ahmed, B" uniqKey="Ahmed B">B Ahmed</name></author><author><name sortKey="Schnupp, Jwh" uniqKey="Schnupp J">JWH Schnupp</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rodriguez, Fa" uniqKey="Rodriguez F">FA Rodriguez</name></author><author><name sortKey="Chen, C" uniqKey="Chen C">C Chen</name></author><author><name sortKey="Read, Hl" uniqKey="Read H">HL Read</name></author><author><name sortKey="Escabi, Ma" uniqKey="Escabi M">MA Escabi</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="He, Byj" uniqKey="He B">BYJ He</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="He, Bj" uniqKey="He B">BJ He</name></author><author><name sortKey="Zempel, Jm" uniqKey="Zempel J">JM Zempel</name></author><author><name sortKey="Snyder, Az" uniqKey="Snyder A">AZ Snyder</name></author><author><name sortKey="Raichle, Me" uniqKey="Raichle M">ME Raichle</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Park, Jy" uniqKey="Park J">JY Park</name></author><author><name sortKey="Park, H" uniqKey="Park H">H Park</name></author><author><name sortKey="Kim, Ji" uniqKey="Kim J">JI Kim</name></author><author><name sortKey="Park, Hj" uniqKey="Park H">HJ Park</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Wan, X" uniqKey="Wan X">X Wan</name></author><author><name sortKey="Cruts, B" uniqKey="Cruts B">B Crüts</name></author><author><name sortKey="Jensen, Hj" uniqKey="Jensen H">HJ Jensen</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Yang, B" uniqKey="Yang B">B Yang</name></author><author><name sortKey="Lugger, M" uniqKey="Lugger M">M Lugger</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Maccallum, Rm" uniqKey="Maccallum R">RM MacCallum</name></author><author><name sortKey="Mauch, M" uniqKey="Mauch M">M Mauch</name></author><author><name sortKey="Burt, A" uniqKey="Burt A">A Burt</name></author><author><name sortKey="Leroi, Am" uniqKey="Leroi A">AM Leroi</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Fitch, W" uniqKey="Fitch W">W Fitch</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Schoenberg, A" uniqKey="Schoenberg A">A Schoenberg</name></author></analytic></biblStruct></listBibl></div1></back></TEI><affiliations><list><country><li>Canada</li><li>République populaire de Chine</li></country><region><li>Québec</li></region><settlement><li>Montréal</li><li>Pékin</li></settlement><orgName><li>Université McGill</li></orgName></list><tree><country name="République populaire de Chine"><noRegion><name sortKey="Wu, Dan" sort="Wu, Dan" uniqKey="Wu D" first="Dan" last="Wu">Dan Wu</name></noRegion><name sortKey="Kendrick, Keith M" sort="Kendrick, Keith M" uniqKey="Kendrick K" first="Keith M." last="Kendrick">Keith M. Kendrick</name><name sortKey="Li, Chaoyi" sort="Li, Chaoyi" uniqKey="Li C" first="Chaoyi" last="Li">Chaoyi Li</name><name sortKey="Li, Chaoyi" sort="Li, Chaoyi" uniqKey="Li C" first="Chaoyi" last="Li">Chaoyi Li</name><name sortKey="Wu, Dan" sort="Wu, Dan" uniqKey="Wu D" first="Dan" last="Wu">Dan Wu</name><name sortKey="Yao, Dezhong" sort="Yao, Dezhong" uniqKey="Yao D" first="Dezhong" last="Yao">Dezhong Yao</name></country><country name="Canada"><region name="Québec"><name sortKey="Levitin, Daniel J" sort="Levitin, Daniel J" uniqKey="Levitin D" first="Daniel J." last="Levitin">Daniel J. Levitin</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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