{"id":"https://openalex.org/W4323765017","doi":"https://doi.org/10.1017/9781580467476.008","title":"Signature Transformations","display_name":"Signature Transformations","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W4323765017","doi":"https://doi.org/10.1017/9781580467476.008"},"language":"en","primary_location":{"id":"doi:10.1017/9781580467476.008","doi":"https://doi.org/10.1017/9781580467476.008","is_oa":false,"landing_page_url":"https://doi.org/10.1017/9781580467476.008","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Music Theory and Mathematics","raw_type":"other"},"volume":{"id":"https://openalex.org/W4323764752","display_name":"Music Theory and Mathematics"},"type":"other","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/A5112196871","display_name":"Julian L. Hook","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Julian Hook","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5112196871"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"137","last_page":"160"},"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/T14095","display_name":"Literature, Musicology, and Cultural Analysis","score":0.0008999999845400453,"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"}},{"id":"https://openalex.org/T11349","display_name":"Music Technology and Sound Studies","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/franz-schubert","display_name":"Franz Schubert","score":0.6890000104904175},{"id":"https://openalex.org/keywords/neo-riemannian-theory","display_name":"neo-Riemannian theory","score":0.800000011920929},{"id":"https://openalex.org/keywords/key-signatures","display_name":"key signatures","score":0.6110000014305115},{"id":"https://openalex.org/keywords/mixtures","display_name":"mixtures","score":0.8119999766349792},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"harmonic analysis","score":0.45100000500679016},{"id":"https://openalex.org/keywords/waltzes","display_name":"waltzes","score":0.6269999742507935}],"concepts":[{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.7140985131263733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4790938198566437},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.47536271810531616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3912389874458313},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.22951990365982056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1706746518611908},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.14147230982780457},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/9781580467476.008","doi":"https://doi.org/10.1017/9781580467476.008","is_oa":false,"landing_page_url":"https://doi.org/10.1017/9781580467476.008","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Music Theory and Mathematics","raw_type":"other"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W628629757","https://openalex.org/W4328011903","https://openalex.org/W611868080","https://openalex.org/W2500904527","https://openalex.org/W4297323791","https://openalex.org/W2977309836","https://openalex.org/W4297323528","https://openalex.org/W4321601310","https://openalex.org/W2019852455","https://openalex.org/W2995519119"],"abstract_inverted_index":{"Among":[0],"the":[1,6,17,21,37,41,47,52,77,94,102,107,118,149,162,178,182,187,190,201,232,255,270,286,291,304,347,367,380],"many":[2],"distinctive":[3],"features":[4],"of":[5,20,40,43,69,73,97,161,164,174,251,254,290,299,311,323],"Schubert":[7,307],"Valse":[8],"sentimentale":[9],"in":[10,14,29,46,63,93,100,148,177,194,241,246,260,274,278,285,350],"A":[11,110,222,242],"major":[12,45,59,111,206,223,243],"reproduced":[13],"figure":[15,24,98,132,202,261,275,293,351],"6.1,":[16],"various":[18],"adventures":[19],"four-eighth-note":[22],"pickup":[23],"(first":[25],"appearing":[26],"as":[27,35,66,91,142],"C#\u2013E\u2013D\u2013C#":[28],"measure":[30,195,218],"2)":[31],"merit":[32],"special":[33],"attention,":[34],"does":[36],"sudden":[38],"appearance":[39],"key":[42,163,300,317,368],"C#":[44,58,80,113,122,125,143,155,165,175,205,225,247],"second":[48],"strain.":[49],"We":[50],"consider":[51],"latter":[53],"first.":[54],"This":[55,82],"chromatic":[56],"mediant":[57],"could":[60,84],"be":[61,85,129,213,330],"explained":[62],"traditional":[64],"terms":[65],"a":[67,71,154,159,172,279,320,340],"product":[68],"mixture,":[70],"sort":[72],"parallel":[74,119],"substitution":[75],"for":[76,325],"diatonic":[78,312],"mediant,":[79],"minor.":[81,166],"explanation":[83],"modeled":[86],"using":[87],"neo-":[88],"Riemannian":[89,103],"transformations":[90,265,345],"shown":[92,259,266],"simple":[95],"network":[96],"6.2,":[99,276],"which":[101,236],"Leittonwechsel":[104],"L":[105],"describes":[106],"relationship":[108],"between":[109,121],"and":[112,115,124,328,370],"minor,":[114],"P":[116],"is":[117,134,152,215,237,282],"relation":[120],"minor":[123,144,156,176],"major.":[126,248],"It":[127],"might":[128],"objected":[130],"that":[131,281,306],"6.2":[133],"only":[135],"marginally":[136],"relevant":[137],"to":[138,224,339,366],"Schubert's":[139],"waltz,":[140],"inasmuch":[141],"never":[145],"actually":[146],"appears":[147],"piece:":[150],"there":[151],"neither":[153],"triad":[157],"nor":[158],"tonicization":[160],"There":[167],"is,":[168],"however,":[169],"at":[170,186],"least":[171],"suggestion":[173],"form":[179],"taken":[180],"by":[181,297],"four-note":[183,256],"melodic":[184,264,292,348],"fragment":[185],"point":[188],"where":[189],"mixture":[191],"first":[192,357],"appears,":[193],"18:":[196],"C#\u2013E\u2013D#\u2013C#.":[197],"Two":[198],"measures":[199],"later,":[200],"takes":[203],"its":[204],"form,":[207],"C#\u2013E\u0192\u2013D#\u2013C#.":[208],"The":[209,263,288,344,356],"latter,":[210],"it":[211],"should":[212],"noted,":[214],"not":[216],"simply":[217],"2":[219],"transposed":[220],"from":[221],"major;":[226],"rather,":[227],"both":[228],"forms":[229,253,349],"start":[230],"on":[231],"same":[233],"note,":[234],"C-sharp,":[235],"scale":[238],"degree":[239],"3":[240,372],"but":[244,277],"1":[245,361],"All":[249],"three":[250,374],"these":[252],"motive":[257],"are":[258,294,314,319,353],"6.3.":[262],"here":[267,296],"precisely":[268],"reflect":[269],"harmonic":[271],"structure":[272],"outlined":[273],"way":[280],"more":[283,375],"apparent":[284],"waltz.":[287],"variants":[289],"represented":[295],"changes":[298],"signature":[301,354,358],"rather":[302],"than":[303],"accidentals":[305],"used.":[308],"When":[309],"shifts":[310],"collection":[313],"implied,":[315],"appropriate":[316],"signatures":[318],"convenient":[321],"means":[322],"representation":[324],"analytical":[326],"purposes,":[327],"will":[329],"used":[331],"thus":[332],"throughout":[333],"this":[334],"paper,":[335],"sometimes":[336],"without":[337],"regard":[338],"composer's":[341],"original":[342],"notation.":[343],"relating":[346],"6.3":[352],"transformations.":[355],"transformation,":[359],"s":[360,371],",":[362],"adds":[363,373],"one":[364],"sharp":[365],"signature,":[369],"sharps,":[376],"all":[377],"while":[378],"leaving":[379],"written":[381],"notes":[382],"unchanged.":[383]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":21},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":28},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2023-03-11T00:00:00"}
