{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,14]],"date-time":"2026-06-14T08:13:12Z","timestamp":1781424792487,"version":"3.54.1"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319259291","type":"print"},{"value":"9783319259314","type":"electronic"}],"license":[{"start":{"date-parts":[[2015,10,28]],"date-time":"2015-10-28T00:00:00Z","timestamp":1445990400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-25931-4_3","type":"book-chapter","created":{"date-parts":[[2015,10,27]],"date-time":"2015-10-27T08:45:03Z","timestamp":1445935503000},"page":"57-80","source":"Crossref","is-referenced-by-count":9,"title":["Topological Structures in Computer-Aided Music Analysis"],"prefix":"10.1007","author":[{"given":"Louis","family":"Bigo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Moreno","family":"Andreatta","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2015,10,28]]},"reference":[{"key":"3_CR1","unstructured":"Andreatta, M. (2008). Calcul alg\u00e9brique et calcul cat\u00b4egoriel en musique: Aspects th\u00e9oriques et informatiques. In Pottier, L., editor, Le calcul de la musique, pages 429\u2013477. Publications de l\u2019Universit\u00e9 de Saint-Etienne."},{"key":"3_CR2","unstructured":"Andreatta, M. and Agon, C. (2003). Implementing algebraic methods in OpenMusic. In Proceedings of the International Computer Music Conference, Singapore."},{"key":"3_CR3","unstructured":"Bigo, L. (2013). Repr\u00b4esentations symboliques musicales et calcul spatial. PhD thesis, LACL\/IRCAM, Universit\u00e9 Paris-Est."},{"key":"3_CR4","unstructured":"Bigo, L. and Andreatta, M. (2014). A geometrical model for the analysis of pop music. Sonus, 35(1):36\u201348."},{"key":"3_CR5","unstructured":"Bigo, L., Ghisi, D., Spicher, A., and Andreatta, M. (2014). Spatial transformations in simplicial chord spaces. In Proceedings of the Fortieth International Computer Music Conference and Eleventh Sound and Music Computing Conference (ICMC\/SMC 2014), pages 1112\u20131119, Athens, Greece."},{"key":"3_CR6","unstructured":"Bigo, L., Giavitto, J.-L., and Spicher, A. (2011). Building topological spaces for musical objects. In Mathematics and Computation in Music: Third International Conference, MCM 2011, Paris, France, June 2011, Proceedings, volume 6726 of Lecture Notes in Artificial Intelligence, pages 13\u201328. Springer."},{"issue":"5874","key":"3_CR7","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1126\/science.1153021","volume":"320","author":"C. Callender","year":"2008","unstructured":"Callender, C., Quinn, I., and Tymoczko, D. (2008). Generalized voice-leading spaces. Science, 320(5874):346.","journal-title":"Science"},{"issue":"2","key":"3_CR8","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1080\/17459737.2011.614448","volume":"5","author":"Michael J. Catanzaro","year":"2011","unstructured":"Catanzaro, M. (2011). Generalized Tonnetze. Journal of Mathematics and Music, 5(2):117\u2013139.","journal-title":"Journal of Mathematics and Music"},{"key":"3_CR9","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1007\/3-540-45722-4_4","volume-title":"Music and Artificial Intelligence","author":"Elaine Chew","year":"2002","unstructured":"Chew, E. (2002). The spiral array: An algorithm for determining key boundaries. In Music and Artificial Intelligence: Second International Conference, ICMAI 2002, Edinburgh, Scotland, UK, September 2002, Proceedings, pages 18\u201331. Springer."},{"key":"3_CR10","unstructured":"Chouvel, J.-M. (2009). Travers\u00b4ee du vent et de la lumi\u00e8re. Six remarques pour une ph\u00e9nom\u00e9nologie de la cr\u00e9ation musicale. Available online at \n                  http:\/\/jeanmarc.chouvel.3.free.fr\/textes\/Traversee0.0.pdf\n                  \n                ."},{"issue":"1","key":"3_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/843761","volume":"41","author":"Richard Cohn","year":"1997","unstructured":"Cohn, R. (1997). Neo-Riemannian operations, parsimonious trichords, and their \u201cTonnetz\u201d representations. Journal of Music Theory, 41(1):1\u201366.","journal-title":"Journal of Music Theory"},{"key":"3_CR12","unstructured":"Cohn, R. (2012). Audacious Euphony: Chromatic Harmony and the Triad\u2019s Second Nature. Oxford University Press."},{"issue":"1","key":"3_CR13","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1080\/09298219508570672","volume":"24","author":"Darrell Conklin","year":"1995","unstructured":"Conklin, D. andWitten, I. H. (1995). Multiple viewpoint systems for music prediction. Journal of New Music Research, 24(1):51\u201373.","journal-title":"Journal of New Music Research"},{"key":"3_CR14","unstructured":"Euler, L. (1739). Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae. Saint Petersburg Academy."},{"key":"3_CR15","unstructured":"Forte, A. (1973). The Structure of Atonal Music. Yale University Press."},{"key":"3_CR16","unstructured":"Giavitto, J.-L. and Michel, O. (2001). MGS: a rule-based programming language for complex objects and collections. In van den Brand, M. and Verma, R., editors, Electronic Notes in Theoretical Computer Science, volume 59, pages 286\u2013304. Elsevier Science Publishers."},{"key":"3_CR17","unstructured":"Giavitto, J.-L. and Spicher, A. (2008). Simulation of self-assembly processes using abstract reduction systems. In Krasnogor, N., Gustafson, S., Pelta, D., and Verdegay, J. L., editors, Systems Self-Assembly: Multidisciplinary Snapshots, pages 199\u2013223. Elsevier."},{"issue":"2","key":"3_CR18","doi-asserted-by":"crossref","first-page":"195","DOI":"10.2307\/843873","volume":"42","author":"Edward Gollin","year":"1998","unstructured":"Gollin, E. (1998). Some aspects of three-dimensional \u201cTonnetze\u201d. Journal of Music Theory, 42(2):195\u2013206.","journal-title":"Journal of Music Theory"},{"issue":"2","key":"3_CR19","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1177\/104649647100200201","volume":"2","author":"Paul W. Holland","year":"1971","unstructured":"Holland, P. W. and Leinhardt, S. (1971). Transitivity in structural models of small groups. Small Group Research, 2:107\u2013124.","journal-title":"Comparative Group Studies"},{"key":"3_CR20","doi-asserted-by":"crossref","unstructured":"Hook, J. (2014). Generic sequences and the generic Tonnetz. Oxford Handbooks Online.","DOI":"10.1093\/oxfordhb\/9780199935321.013.003"},{"issue":"2","key":"3_CR21","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1080\/17459737.2011.608819","volume":"5","author":"John Mandereau","year":"2011","unstructured":"Mandereau, J., Ghisi, D., Amiot, E., Andreatta, M., and Agon, C. (2011). Z-relation and homometry in musical distributions. Journal of Mathematics and Music, 5(2):83\u201398.","journal-title":"Journal of Mathematics and Music"},{"key":"3_CR22","unstructured":"Mazzola, G. et al. (2002). The Topos of Music: Geometric Logic of Concepts, Theory, and Performance. Birkh\u00e4user."},{"key":"3_CR23","unstructured":"Pousseur, H. (1968). L\u2019apoth\u00e9ose de Rameau. Essai sur la question harmonique. Musiques Nouvelles. Revue d\u2019esth\u00e9tique, 21, pages 105\u2013172."},{"key":"3_CR24","doi-asserted-by":"crossref","first-page":"247","DOI":"10.2307\/3686929","volume":"52","author":"Henri Pousseur","year":"1998","unstructured":"Pousseur, H. (1998). Applications analytiques de la technique des r\u00e9seaux. Revue belge de Musicologie, 52, pages 247\u2013298.","journal-title":"Revue belge de Musicologie \/ Belgisch Tijdschrift voor Muziekwetenschap"},{"key":"3_CR25","unstructured":"Rameau, J.-P. (1722). Trait\u00e9 de l\u2019harmonie, reduite \u00e0 ses principes naturels. Jean- Baptiste-Christophe Ballard."},{"issue":"1","key":"3_CR26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1215\/00222909-1546958","volume":"56","author":"D. Tymoczko","year":"2012","unstructured":"Tymoczko, D. (2012). The generalized Tonnetz. Journal of Music Theory, 56(1):1\u201352.","journal-title":"Journal of Music Theory"}],"container-title":["Computational Music Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-25931-4_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T06:31:03Z","timestamp":1559284263000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-25931-4_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,28]]},"ISBN":["9783319259291","9783319259314"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-25931-4_3","relation":{},"subject":[],"published":{"date-parts":[[2015,10,28]]}}}