{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:20:28Z","timestamp":1760055628990,"version":"build-2065373602"},"publisher-location":"Cham","reference-count":18,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783032020413","type":"print"},{"value":"9783032020420","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:00:00Z","timestamp":1760054400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:00:00Z","timestamp":1760054400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026]]},"DOI":"10.1007\/978-3-032-02042-0_26","type":"book-chapter","created":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T06:25:52Z","timestamp":1759991152000},"page":"337-348","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["8 + 8 = 4: Formalizing Time Units to\u00a0Handle Symbolic Music Durations"],"prefix":"10.1007","author":[{"given":"Emmanouil","family":"Karystinaios","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francesco","family":"Foscarin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Florent","family":"Jacquemard","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masahiko","family":"Sakai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Satoshi","family":"Tojo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gerhard","family":"Widmer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,10,10]]},"reference":[{"key":"26_CR1","doi-asserted-by":"crossref","unstructured":"Albini, G., Bernardi, M.P.: Tropical generalized interval systems. In: Montiel, M., Gomez-Martin, F., Agustin-Aquino, O.A. (eds.) Mathematics and Computation in Music, pp. 73\u201383. Springer International Publishing (2019)","DOI":"10.1007\/978-3-030-21392-3_6"},{"key":"26_CR2","unstructured":"Cancino-Chac\u00f3n, C.E., Peter, S.D., Karystinaios, E., Foscarin, F., Grachten, M., Widmer, G.: Partitura: A Python package for symbolic music processing. In: Proceedings of the Music Encoding Conference (MEC2022). Halifax, Canada (2022)"},{"key":"26_CR3","unstructured":"Cuthbert, M.S., Ariza, C.: Music21: a toolkit for computer-aided musicology and symbolic music data. In: Proceedings of the International Society for Music Information Retrieval Conference (ISMIR), pp. 637\u2013642 (2010)"},{"key":"26_CR4","doi-asserted-by":"crossref","unstructured":"Droste, M., Kuich, W.: Semirings and formal power series. In: Handbook of Weighted Automata, pp. 3\u201328. Springer (2009)","DOI":"10.1007\/978-3-642-01492-5_1"},{"issue":"9","key":"26_CR5","doi-asserted-by":"publisher","first-page":"3167","DOI":"10.1016\/j.camwa.2010.03.003","volume":"59","author":"WA Dudek","year":"2010","unstructured":"Dudek, W.A., Shabir, M., Anjum, R.: Characterizations of hemirings by their h-ideals. Comput. Math. Appl. 59(9), 3167\u20133179 (2010)","journal-title":"Comput. Math. Appl."},{"key":"26_CR6","doi-asserted-by":"crossref","unstructured":"Foscarin, F., Jacquemard, F., Rigaux, P., Sakai, M.: A parse-based framework for coupled rhythm quantization and score structuring. In: Proceedings of the International Conference on Mathematics and Computation in Music (MCM), pp. 248\u2013260. Springer (2019)","DOI":"10.1007\/978-3-030-21392-3_20"},{"key":"26_CR7","unstructured":"Foscarin, F., McLeod, A., Rigaux, P., Jacquemard, F., Sakai, M.: ASAP: a dataset of aligned scores and performances for piano transcription. In: Proceedings of the International Society for Music Information Retrieval Conference (ISMIR), pp. 534\u2013541 (2020)"},{"key":"26_CR8","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1007\/s00799-021-00299-7","volume":"22","author":"F Foscarin","year":"2021","unstructured":"Foscarin, F., Rigaux, P., Thion, V.: Data quality assessment in digital score libraries: the gioqoso project. Int. J. Digit. Libr. 22, 159\u2013173 (2021)","journal-title":"Int. J. Digit. Libr."},{"key":"26_CR9","unstructured":"Fradet, N., Briot, J.P., Chhel, F., El\u00a0Fallah\u00a0Seghrouchni, A., Gutowski, N.: MidiTok: A python package for MIDI file tokenization. In: Late-Breaking Demo Session of the International Society for Music Information Retrieval Conference (2021)"},{"key":"26_CR10","doi-asserted-by":"publisher","unstructured":"Gaubert, S., Plus, M.: Methods and applications of (max,+) linear algebra. In: Reischuk, R., Morvan, M. (eds.) STACS 1997. LNCS, vol. 1200, pp. 261\u2013282. Springer, Heidelberg (1997). https:\/\/doi.org\/10.1007\/BFb0023465","DOI":"10.1007\/BFb0023465"},{"key":"26_CR11","doi-asserted-by":"crossref","unstructured":"Giraud, M., Jacquemard, F.: Weighted automata computation of edit distances with consolidations and fragmentations. Inform. Comput. 282 (2022)","DOI":"10.1016\/j.ic.2020.104652"},{"key":"26_CR12","unstructured":"Huang, L.: Advanced dynamic programming in semiring and hypergraph frameworks. In: International Committee on Computational Linguistics Conference (COLING) (2008)"},{"key":"26_CR13","unstructured":"Mazzola, G.: The topos of music: geometric logic of concepts, theory, and performance. Birkh\u00e4user (2012)"},{"issue":"3","key":"26_CR14","first-page":"321","volume":"7","author":"M Mohri","year":"2002","unstructured":"Mohri, M.: Semiring frameworks and algorithms for shortest-distance problems. J. Autom. Lang. Comb. 7(3), 321\u2013350 (2002)","journal-title":"J. Autom. Lang. Comb."},{"key":"26_CR15","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511662508.004","volume-title":"Tropical Semirings","author":"JE Pin","year":"1998","unstructured":"Pin, J.E.: Tropical Semirings. Cambridge Univ. Press, Cambridge (1998)"},{"issue":"2","key":"26_CR16","first-page":"5","volume":"54","author":"A Popoff","year":"2016","unstructured":"Popoff, A., Agon, C., Andreatta, M., Ehresmann, A.: From k-nets to PK-nets: a categorical approach. Perspect. New Music 54(2), 5\u201363 (2016)","journal-title":"Perspect. New Music"},{"key":"26_CR17","unstructured":"Sen, M., Maity, S., Shum, K.: Some aspects of semirings. Southeast Asian Bull. Math. 45(6) (2021)"},{"key":"26_CR18","doi-asserted-by":"crossref","unstructured":"Wadler, P.: The essence of functional programming. In: Proceedings of the ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, pp. 1\u201314 (1992)","DOI":"10.1145\/143165.143169"}],"container-title":["Lecture Notes in Computer Science","Music and Sound Generation in the AI Era"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-02042-0_26","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T06:26:06Z","timestamp":1759991166000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-02042-0_26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,10]]},"ISBN":["9783032020413","9783032020420"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-02042-0_26","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,10]]},"assertion":[{"value":"10 October 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CMMR","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Symposium on Computer Music Multidisciplinary Research","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Tokyo","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Japan","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 November 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 November 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cmmr2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/cmmr2023.gttm.jp\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}