{"id":"https://openalex.org/W154371001","doi":"https://doi.org/10.5281/zenodo.1416213","title":"A Symmetry Based Approach For Musical Tonality Analysis.","display_name":"A Symmetry Based Approach For Musical Tonality Analysis.","publication_year":2007,"publication_date":"2007-09-23","ids":{"openalex":"https://openalex.org/W154371001","doi":"https://doi.org/10.5281/zenodo.1416213","mag":"154371001"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.6741","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.6741","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ismir2007.ismir.net/proceedings/ISMIR2007_p207_gatzsche.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/1416214","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015486510","display_name":"Gabriel Gatzsche","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gatzsche, Gabriel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108532097","display_name":"Markus Mehnert","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mehnert, Markus","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029723558","display_name":"David Gatzsche","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gatzsche, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033167710","display_name":"Karlheinz Brandenburg","orcid":"https://orcid.org/0000-0002-8089-9508","observed_orcids":["https://orcid.org/0000-0002-8089-9508"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brandenburg, Karlheinz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4944,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90111659,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"207","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11309","display_name":"Music and Audio Processing","score":0.6542999744415283,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11309","display_name":"Music and Audio Processing","score":0.6542999744415283,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10941","display_name":"Musicology and Musical Analysis","score":0.17219999432563782,"subfield":{"id":"https://openalex.org/subfields/1210","display_name":"Music"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11349","display_name":"Music Technology and Sound Studies","score":0.149399995803833,"subfield":{"id":"https://openalex.org/subfields/1210","display_name":"Music"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry-model","display_name":"symmetry model","score":0.9490000009536743},{"id":"https://openalex.org/keywords/key-relationships","display_name":"key relationships","score":0.5929999947547913},{"id":"https://openalex.org/keywords/tension-and-resolution","display_name":"tension and resolution","score":0.7910000085830688},{"id":"https://openalex.org/keywords/functional-relationships","display_name":"functional relationships","score":0.5249999761581421},{"id":"https://openalex.org/keywords/tonal-center","display_name":"tonal center","score":0.9459999799728394}],"concepts":[{"id":"https://openalex.org/C2776275044","wikidata":"https://www.wikidata.org/wiki/Q192822","display_name":"Tonality","level":3,"score":0.9663514494895935},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.7278628945350647},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.716778039932251},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6562371253967285},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49118587374687195},{"id":"https://openalex.org/C91682802","wikidata":"https://www.wikidata.org/wiki/Q620538","display_name":"Multidimensional scaling","level":2,"score":0.4709920287132263},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.4317961633205414},{"id":"https://openalex.org/C2780692498","wikidata":"https://www.wikidata.org/wiki/Q16950721","display_name":"Component analysis","level":2,"score":0.4139205813407898},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32406365871429443},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.31991225481033325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29716116189956665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25312182307243347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18425795435905457},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15869492292404175},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10322827100753784},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.6741","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.6741","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ismir2007.ismir.net/proceedings/ISMIR2007_p207_gatzsche.pdf","raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:N-111591","doi":null,"is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-111591.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer IDMT","raw_type":"Conference Paper"},{"id":"pmh:oai:zenodo.org:1416214","doi":null,"is_oa":true,"landing_page_url":"https://zenodo.org/record/1416214","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},{"id":"doi:10.5281/zenodo.1416213","doi":"https://doi.org/10.5281/zenodo.1416213","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.1416213","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.1416214","doi":"https://doi.org/10.5281/zenodo.1416214","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.1416214","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:154371001","doi":null,"is_oa":false,"landing_page_url":"http://ismir2007.ismir.net/proceedings/ISMIR2007_p207_gatzsche.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306420076","display_name":"International Symposium/Conference on Music Information Retrieval","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Symposium/Conference on Music Information Retrieval","raw_type":null}],"best_oa_location":{"id":"pmh:oai:zenodo.org:1416214","doi":null,"is_oa":true,"landing_page_url":"https://zenodo.org/record/1416214","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1575829986","https://openalex.org/W1943191056","https://openalex.org/W2024595034","https://openalex.org/W2032197604","https://openalex.org/W2042978954","https://openalex.org/W2045034970","https://openalex.org/W2076118826","https://openalex.org/W2202735757"],"related_works":["https://openalex.org/W101286651","https://openalex.org/W2159474564","https://openalex.org/W2618680896","https://openalex.org/W2052233885","https://openalex.org/W7134371856","https://openalex.org/W1548543737","https://openalex.org/W33584921","https://openalex.org/W654878903","https://openalex.org/W7143314147","https://openalex.org/W616415612"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,31,35],"geometric":[3],"approach":[4],"for":[5,55,64],"tonality":[6],"analysis":[7,57],"called":[8],"symmetry":[9,14],"model.":[10],"To":[11],"derive":[12],"the":[13,40,49,56,79,85,93],"model,":[15],"Carol":[16],"L.":[17],"Krumhansl":[18],"and":[19,34],"E.J.":[20],"Kessler\u2019s":[21],"toroidal":[22],"Multi":[23],"Dimensional":[24],"Scaling":[25],"(MDS)":[26],"solution":[27],"is":[28,53,89],"separated":[29],"into":[30],"key":[32,36,41,50,94],"spanning":[33,42],"related":[37,51,77,95],"component.":[38,96],"While":[39],"component":[43,52],"represents":[44],"relationships":[45,60],"between":[46],"different":[47],"keys,":[48,63],"suitable":[54],"of":[58,61,82],"inner":[59],"diatonic":[62],"example":[65],"tension":[66],"or":[67,70],"resolution":[68],"tendencies,":[69],"functional":[71],"relationships.":[72],"These":[73],"features":[74],"are":[75],"directly":[76],"to":[78],"symmetric":[80],"organisation":[81],"tones":[83],"around":[84],"tonal":[86],"center,":[87],"which":[88],"particularly":[90],"visualized":[91],"by":[92],"1":[97]},"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}