LEADER 03362nam 22005175 450 001 996546842803316 005 20230714113336.0 010 $a3-031-31451-4 024 7 $a10.1007/978-3-031-31451-3 035 $a(MiAaPQ)EBC30647819 035 $a(Au-PeEL)EBL30647819 035 $a(DE-He213)978-3-031-31451-3 035 $a(PPN)272251658 035 $a(EXLCZ)9927594370600041 100 $a20230714d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMusical Variation$b[electronic resource] $eToward a Transformational Perspective /$fby Carlos de Lemos Almada 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (329 pages) 225 1 $aComputational Music Science,$x1868-0313 311 08$aPrint version: Almada, Carlos De Lemos Musical Variation Cham : Springer,c2023 9783031314506 327 $aPart. I. Decontextualized Variation -- Chapter. 1. Basic concepts -- Chapter. 2. Decomposable variation -- Chapter. 3. Measurement of similarity -- Chapter. 4. Transformational operations -- Chapter. 5. Measurement of similarity -- Part II. Variation on time -- Chapter. 6. Grundgestalt -- Chapter. 7. Developing variation -- Part III. Analysis: Brahms ?Intermezzo in A Major Op.118/2 -- Chapter. 8. Formal, harmonic, and metric structure -- Chapter. 9. Derivative analysis -- Afterword -- Further Reading -- Part. IV. Appendices -- Appendix A. Variation in non-tonal contexts -- Appendix B. MDA -- Appendix. C. Algorithms. 330 $aThis book offers an in-depth analysis of musical variation through a systematic approach, heavily influenced by the principles of Grundgestalt and developed variations, both created by the Austrian composer Arnold Schoenberg (1874-1951). The author introduces a new transformational-derivative model and the theory that supports it, specifically crafted for the examination of tonal music. The idea for this book emerged during a sabbatical at Columbia University, while the content is the product of extensive research conducted at the Federal University of Rio de Janeiro, resulting in the development of the Model of Derivative Analysis. This model places emphasis on the connections between musical entities rather than viewing them as separate entities. As a case study, the Intermezzo in A Major Op.118/2 by Brahms is selected for analysis. The author's goal is to provide a formal and structured approach while maintaining the text's readability and appeal for both musicians and mathematicians in the field of music theory. The book concludes with the author's recommendations for further research. 410 0$aComputational Music Science,$x1868-0313 606 $aMusic?Mathematics 606 $aMathematics 606 $aMathematics in Music 606 $aApplications of Mathematics 615 0$aMusic?Mathematics. 615 0$aMathematics. 615 14$aMathematics in Music. 615 24$aApplications of Mathematics. 676 $a780.0519 700 $aAlmada$b Carlos De Lemos$01373771 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996546842803316 996 $aMusical Variation$93404894 997 $aUNISA