{"id":"https://openalex.org/W4206239201","doi":"https://doi.org/10.1093/acprof:oso/9780195317138.001.0001","title":"Generalized Musical Intervals and Transformations","display_name":"Generalized Musical Intervals and Transformations","publication_year":2007,"publication_date":"2007-05-03","ids":{"openalex":"https://openalex.org/W4206239201","doi":"https://doi.org/10.1093/acprof:oso/9780195317138.001.0001"},"language":"en","primary_location":{"id":"doi:10.1093/acprof:oso/9780195317138.001.0001","doi":"https://doi.org/10.1093/acprof:oso/9780195317138.001.0001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/acprof:oso/9780195317138.001.0001","pdf_url":null,"source":{"id":"https://openalex.org/S4306463708","display_name":"Oxford University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"monograph"},"volume":null,"type":"book","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/A5020665396","display_name":"David I Lewin","orcid":"https://orcid.org/0000-0001-6420-3841","observed_orcids":["https://orcid.org/0000-0001-6420-3841"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Lewin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5020665396"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":35.61,"has_fulltext":false,"cited_by_count":159,"citation_normalized_percentile":{"value":0.99428763,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"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":0.9976000189781189,"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":0.9976000189781189,"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":0.00039999998989515007,"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/T14095","display_name":"Literature, Musicology, and Cultural Analysis","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/musical-transformation","display_name":"musical transformation","score":0.6290000081062317},{"id":"https://openalex.org/keywords/transformational-theory","display_name":"transformational theory","score":0.6869999766349792},{"id":"https://openalex.org/keywords/pitch-structure","display_name":"pitch structure","score":0.7039999961853027},{"id":"https://openalex.org/keywords/musical-analysis","display_name":"musical analysis","score":0.5230000019073486},{"id":"https://openalex.org/keywords/set-theory","display_name":"set theory","score":0.41499999165534973},{"id":"https://openalex.org/keywords/chord-classification","display_name":"chord classification","score":0.328000009059906}],"concepts":[{"id":"https://openalex.org/C143857728","wikidata":"https://www.wikidata.org/wiki/Q193544","display_name":"Music theory","level":3,"score":0.7516976594924927},{"id":"https://openalex.org/C38775462","wikidata":"https://www.wikidata.org/wiki/Q1569376","display_name":"Transformational leadership","level":2,"score":0.6499156951904297},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6260299682617188},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.5170996189117432},{"id":"https://openalex.org/C154233639","wikidata":"https://www.wikidata.org/wiki/Q164204","display_name":"Musicology","level":2,"score":0.4646221101284027},{"id":"https://openalex.org/C82327399","wikidata":"https://www.wikidata.org/wiki/Q10590700","display_name":"Music history","level":3,"score":0.452427476644516},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.4297359883785248},{"id":"https://openalex.org/C2780226923","wikidata":"https://www.wikidata.org/wiki/Q929848","display_name":"Movement (music)","level":2,"score":0.4259444773197174},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.3436664938926697},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.28133830428123474},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.23682329058647156},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.20204466581344604},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.184950590133667},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.1670735776424408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16368171572685242},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07229477167129517},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/acprof:oso/9780195317138.001.0001","doi":"https://doi.org/10.1093/acprof:oso/9780195317138.001.0001","is_oa":false,"landing_page_url":"https://doi.org/10.1093/acprof:oso/9780195317138.001.0001","pdf_url":null,"source":{"id":"https://openalex.org/S4306463708","display_name":"Oxford University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"monograph"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-000400653","doi":null,"is_oa":false,"landing_page_url":"http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000400653&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:bibliotheques-specialisees.paris.fr:p::usmarcdef_0001134770","doi":null,"is_oa":false,"landing_page_url":"https://bibliotheques-specialisees.paris.fr/ark:/73873/pf0001134770","pdf_url":null,"source":{"id":"https://openalex.org/S4306463708","display_name":"Oxford University Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"ebook platform"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"printed monograph"},{"id":"pmh:oai:quod.lib.umich.edu:heb06340.0001.001","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2027/heb.06340","pdf_url":null,"source":{"id":"https://openalex.org/S7407064297","display_name":"University of Michigan Library Repository","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"American Council of Learned Societies History E-Book Project","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"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/W2012649539","https://openalex.org/W1978130946","https://openalex.org/W632138236","https://openalex.org/W2326798195","https://openalex.org/W2027640348","https://openalex.org/W4299538925","https://openalex.org/W4399876534","https://openalex.org/W2902379882","https://openalex.org/W2495082275","https://openalex.org/W2329648235"],"abstract_inverted_index":{"This":[0],"book":[1,65],"is":[2,66],"recognized":[3],"as":[4,46,62,113,115],"the":[5,9,26,36,39,64,69,74,81,85,88,111,122,126],"seminal":[6],"work":[7],"paving":[8],"way":[10],"for":[11,50,87,125],"current":[12,127],"studies":[13],"in":[14,32,80],"mathematical":[15],"and":[16,52,55],"systematic":[17,77],"approaches":[18],"to":[19,73],"music":[20,33,60,78,130],"analysis.":[21],"The":[22],"author,":[23,112],"one":[24],"of":[25,38,41,76,129],"20th":[27],"century\u2019s":[28],"most":[29,59,70],"prominent":[30],"figures":[31],"theory,":[34],"pushes":[35],"boundaries":[37],"study":[40],"pitch-structure":[42],"beyond":[43],"its":[44],"conception":[45],"a":[47,106,116],"static":[48],"system":[49],"classifying":[51],"inter-relating":[53],"chords":[54],"sets.":[56],"Known":[57],"by":[58,67,110,118],"theorists":[61],"\u201cGMIT\u201d,":[63],"far":[68],"significant":[71],"contribution":[72],"field":[75,128],"theory":[79],"last":[82],"half-century,":[83],"generating":[84],"framework":[86],"\u201ctransformational":[89],"theory\u201d":[90],"movement.":[91],"Appearing":[92],"almost":[93],"twenty":[94],"years":[95],"after":[96],"GMIT\u2019s":[97],"initial":[98],"publication,":[99],"this":[100],"Oxford":[101],"University":[102],"Press":[103],"edition":[104],"features":[105],"previously":[107],"unpublished":[108],"preface":[109],"well":[114],"foreword":[117],"Edward":[119],"Gollin":[120],"contextualizing":[121],"work\u2019s":[123],"significance":[124],"theory.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":29},{"year":2012,"cited_by_count":5}],"updated_date":"2026-10-06T10:28:23.643775","created_date":"2022-01-25T00:00:00"}