{"id":"https://openalex.org/W4395954770","doi":"https://doi.org/10.31234/osf.io/wh2u5","title":"RATIONALIZING TONAL MUSIC","display_name":"RATIONALIZING TONAL MUSIC","publication_year":2024,"publication_date":"2024-04-28","ids":{"openalex":"https://openalex.org/W4395954770","doi":"https://doi.org/10.31234/osf.io/wh2u5"},"language":"en","primary_location":{"id":"doi:10.31234/osf.io/wh2u5","doi":"https://doi.org/10.31234/osf.io/wh2u5","is_oa":false,"landing_page_url":"https://doi.org/10.31234/osf.io/wh2u5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053542806","display_name":"Dale Purves","orcid":"https://orcid.org/0000-0002-3011-4338","observed_orcids":["https://orcid.org/0000-0002-3011-4338"]},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dale Purves","raw_affiliation_strings":["Duke University"],"raw_orcid":"https://orcid.org/0000-0002-3011-4338","affiliations":[{"raw_affiliation_string":"Duke University","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053542806"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10941","display_name":"Musicology and Musical Analysis","score":0.9014000296592712,"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"}},"topics":[{"id":"https://openalex.org/T10941","display_name":"Musicology and Musical Analysis","score":0.9014000296592712,"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":0.0649000033736229,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10788","display_name":"Neuroscience and Music Perception","score":0.006800000090152025,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tonal-music","display_name":"tonal music","score":0.9829999804496765},{"id":"https://openalex.org/keywords/harmonic-series","display_name":"harmonic series","score":0.7360000014305115},{"id":"https://openalex.org/keywords/pythagorean-tuning","display_name":"Pythagorean tuning","score":0.9509999752044678},{"id":"https://openalex.org/keywords/musical-scales","display_name":"musical scales","score":0.6779999732971191},{"id":"https://openalex.org/keywords/instrument-tuning","display_name":"instrument tuning","score":0.6940000057220459}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.8025376796722412},{"id":"https://openalex.org/C2780583480","wikidata":"https://www.wikidata.org/wiki/Q1366327","display_name":"Tone (literature)","level":2,"score":0.6980215907096863},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.6953970193862915},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.5907409191131592},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5761551856994629},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5286983251571655},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4671470820903778},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.45345377922058105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45299196243286133},{"id":"https://openalex.org/C178884764","wikidata":"https://www.wikidata.org/wiki/Q510293","display_name":"Musical acoustics","level":3,"score":0.43556928634643555},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4319290816783905},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4151046872138977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39661258459091187},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.29812827706336975},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.2836366295814514},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.19870281219482422},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.13276657462120056},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1263265311717987},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12120261788368225},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10194063186645508},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09653621912002563},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08538714051246643},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.31234/osf.io/wh2u5","doi":"https://doi.org/10.31234/osf.io/wh2u5","is_oa":false,"landing_page_url":"https://doi.org/10.31234/osf.io/wh2u5","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"pmh:oai:share.osf.io:9539578e-3942-4a1f-ab79-76896279f544","doi":null,"is_oa":false,"landing_page_url":"https://osf.io/wh2u5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401687","display_name":"PsyArXiv (OSF Preprints)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2799848540","host_organization_name":"Center for Open Science","host_organization_lineage":["https://openalex.org/I2799848540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4377019846","https://openalex.org/W4255725902","https://openalex.org/W2793550381","https://openalex.org/W4387969366","https://openalex.org/W4388256890","https://openalex.org/W2913869517","https://openalex.org/W2031899147","https://openalex.org/W7214727089","https://openalex.org/W2419643705","https://openalex.org/W1599549575"],"abstract_inverted_index":{"Since":[0],"the":[1,13,16,39,50,60],"time":[2],"of":[3,12,18,38,63],"Pythagoras":[4],"tonal":[5,31],"music":[6,32],"has":[7],"been":[8],"explained":[9],"in":[10,36,66],"terms":[11,37],"ratios":[14],"between":[15],"lengths":[17],"two":[19],"or":[20],"more":[21],"vibrating":[22],"objects.":[23],"The":[24],"evidence":[25],"summarized":[26],"here,":[27],"however,":[28],"implies":[29],"that":[30,42],"is":[33],"better":[34],"understood":[35],"integer":[40],"fractions":[41],"comprise":[43],"a":[44,71],"harmonic":[45],"series.":[46],"In":[47],"contrast":[48],"to":[49,73],"Pythagorean":[51],"scheme,":[52],"this":[53],"framework":[54],"rationalizes":[55],"musical":[56,67],"octaves,":[57],"accounts":[58],"for":[59],"variable":[61],"number":[62],"tone":[64],"combinations":[65],"scales,":[68],"and":[69,77],"offers":[70],"way":[72],"precisely":[74],"tune":[75],"instruments":[76],"voices.":[78]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2024-04-29T00:00:00"}