%0 Journal Article %1 3340148420080101 %A Mazzola, Guerino %A Stegemann, Benedikt %D 2008 %J Journal of Mathematics & Music %K Dissonanzfolgen Musikbildung Komposition Tonhöhe Kontrapunkt Symmetrie Zwölftonsystem dodecaphonism Schönberg Tonalität Dichotomie Konsonanz %N 1 %P 37 - 51 %R 10.1080/17459730802011132 %T Hidden symmetries of classical tonality in Schonberg's dodecaphonic compositions. %U http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=33401484&site=ehost-live %V 2 %X We exhibit symmetries on pitch classes that are intimately related to major/minor tonality, and then recover essential aspects of such tonality from these symmetries. This fact entails a relation to Schonberg's dodecaphonic series, where their two hexachords consisting of the first and second halves exhibit such symmetries. They are by no means isolated objects; it is shown that they can be thought of as simultaneous expressions of tonal and serial instances. These symmetries define a bridge between two apparently disconnected, and even antagonistic approaches to fundamental compositional designs. We discuss applications of this approach to Schonberg's Piano Concerto, op. 42. ABSTRACT FROM AUTHOR

@article{3340148420080101, abstract = {We exhibit symmetries on pitch classes that are intimately related to major/minor tonality, and then recover essential aspects of such tonality from these symmetries. This fact entails a relation to Schonberg's dodecaphonic series, where their two hexachords consisting of the first and second halves exhibit such symmetries. They are by no means isolated objects; it is shown that they can be thought of as simultaneous expressions of tonal and serial instances. These symmetries define a bridge between two apparently disconnected, and even antagonistic approaches to fundamental compositional designs. We discuss applications of this approach to Schonberg's Piano Concerto, op. 42. [ABSTRACT FROM AUTHOR]}, added-at = {2013-02-02T14:40:26.000+0100}, author = {Mazzola, Guerino and Stegemann, Benedikt}, bdsk-file-1 = {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}, bdsk-url-1 = {http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=33401484&site=ehost-live}, biburl = {https://www.bibsonomy.org/bibtex/2759911163062852778a1e7d3968c293f/ks-plugin-devel}, date-added = {2010-03-17 13:55:59 +0100}, date-modified = {2010-03-17 13:57:14 +0100}, doi = {10.1080/17459730802011132}, groups = {public}, interhash = {390304add7d0d9e1236b48a447e22159}, intrahash = {759911163062852778a1e7d3968c293f}, issn = {17459737}, journal = {Journal of Mathematics \& Music}, keywords = {Dissonanzfolgen Musikbildung Komposition Tonhöhe Kontrapunkt Symmetrie Zwölftonsystem dodecaphonism Schönberg Tonalität Dichotomie Konsonanz}, number = 1, pages = {37 - 51}, timestamp = {2013-02-02T14:40:26.000+0100}, title = {Hidden symmetries of classical tonality in Schonberg's dodecaphonic compositions.}, url = {http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=33401484&site=ehost-live}, username = {keinstein}, volume = 2, year = 2008 }