{"id":"https://openalex.org/W2000973080","doi":"https://doi.org/10.2307/989675","title":"Harmonic Proportion and Palladio's \"Quattro Libri\"","display_name":"Harmonic Proportion and Palladio's \"Quattro Libri\"","publication_year":1982,"publication_date":"1982-05-01","ids":{"openalex":"https://openalex.org/W2000973080","doi":"https://doi.org/10.2307/989675","mag":"2000973080"},"language":"en","primary_location":{"id":"doi:10.2307/989675","doi":"https://doi.org/10.2307/989675","is_oa":false,"landing_page_url":"https://doi.org/10.2307/989675","pdf_url":null,"source":{"id":"https://openalex.org/S165362458","display_name":"Journal of the Society of Architectural Historians","issn_l":"0037-9808","issn":["0037-9808","1544-9890","2150-5926","2326-6775"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-class-a","anvur-scientific","erih-plus","jufo-3","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310315693","host_organization_name":"University of California Press","host_organization_lineage":["https://openalex.org/P4310315693"],"host_organization_lineage_names":["University of California Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Society of Architectural Historians","raw_type":"journal-article"},"volume":null,"type":"article","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/A5001018421","display_name":"Deborah Howard","orcid":"https://orcid.org/0000-0002-3833-2962","observed_orcids":["https://orcid.org/0000-0002-3833-2962"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Deborah Howard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015227922","display_name":"Malcolm Longair","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Malcolm Longair","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":0.0,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.2639982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"41","issue":"2","first_page":"116","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13133","display_name":"Architecture and Art History Studies","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"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/T13133","display_name":"Architecture and Art History Studies","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"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/T12076","display_name":"Renaissance and Early Modern Studies","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/1202","display_name":"History"},"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/T14506","display_name":"Historical and Architectural Studies","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/1204","display_name":"Archeology"},"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/andrea-palladio","display_name":"Andrea Palladio","score":0.9079999923706055},{"id":"https://openalex.org/keywords/harmonic-proportions","display_name":"harmonic proportions","score":0.8970000147819519},{"id":"https://openalex.org/keywords/ground-plan","display_name":"ground plan","score":0.8069999814033508},{"id":"https://openalex.org/keywords/vitruvius","display_name":"Vitruvius","score":0.6100000143051147},{"id":"https://openalex.org/keywords/daniele-barbaro","display_name":"Daniele Barbaro","score":0.9789999723434448},{"id":"https://openalex.org/keywords/architectural-theory","display_name":"architectural theory","score":0.41499999165534973},{"id":"https://openalex.org/keywords/architectural-patronage","display_name":"architectural patronage","score":0.4129999876022339},{"id":"https://openalex.org/keywords/room-shape","display_name":"room shape","score":0.3889999985694885},{"id":"https://openalex.org/keywords/wall-thickness","display_name":"wall thickness","score":0.4269999861717224}],"concepts":[{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.6982388496398926},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5269152522087097},{"id":"https://openalex.org/C153606108","wikidata":"https://www.wikidata.org/wiki/Q46158","display_name":"Humanism","level":2,"score":0.5024478435516357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3336929678916931},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.3063434362411499},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.3014879822731018},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.25816580653190613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2514035105705261},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.15784168243408203},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.11325812339782715}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2307/989675","doi":"https://doi.org/10.2307/989675","is_oa":false,"landing_page_url":"https://doi.org/10.2307/989675","pdf_url":null,"source":{"id":"https://openalex.org/S165362458","display_name":"Journal of the Society of Architectural Historians","issn_l":"0037-9808","issn":["0037-9808","1544-9890","2150-5926","2326-6775"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-class-a","anvur-scientific","erih-plus","jufo-3","norway-2","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310315693","host_organization_name":"University of California Press","host_organization_lineage":["https://openalex.org/P4310315693"],"host_organization_lineage_names":["University of California Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Society of Architectural Historians","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W240701929","https://openalex.org/W418568126","https://openalex.org/W575522630","https://openalex.org/W639084946","https://openalex.org/W2000812209","https://openalex.org/W2002617716","https://openalex.org/W2135480208","https://openalex.org/W2795831570","https://openalex.org/W3127787935","https://openalex.org/W4245987202"],"related_works":["https://openalex.org/W2946496866","https://openalex.org/W2466076815","https://openalex.org/W18671905","https://openalex.org/W7054656142","https://openalex.org/W4292984580","https://openalex.org/W2242094520","https://openalex.org/W2006016931","https://openalex.org/W4407766925","https://openalex.org/W7064341548","https://openalex.org/W243088966"],"abstract_inverted_index":{"In":[0,66,244],"1949,":[1],"Wittkower":[2,324],"proposed":[3],"that":[4,48,107,257],"musical":[5,93,127,162,176,287,296,305,314],"harmonic":[6,94,208,252,261,315,330],"ratios":[7,95,122],"were":[8,96],"a":[9,70,112,199],"principle":[10,99],"underlying":[11],"Palladio's":[12,101,264],"designs":[13,140,262,283],"illustrated":[14],"in":[15,29,36,63,78,121,150,191,220,237,242,251,295,307],"the":[16,23,37,46,60,67,76,82,125,148,151,214,217,221,228,238,259,269,273,279,345],"ground":[17,102],"plans":[18,62,77,154,218],"of":[19,22,32,39,56,59,74,81,146,216,246,278,281,338,348],"Book":[20,64,79,152],"II":[21,80,153],"Quattro":[24,83,222],"libri.":[25,223],"This":[26],"theory,":[27],"expounded":[28],"Part":[30],"IV":[31],"Wittkower's":[33],"Architectural":[34],"Principles":[35],"Age":[38],"Humanism,":[40],"has":[41],"been":[42,182],"widely":[43],"accepted,":[44],"despite":[45],"fact":[47],"his":[49,139,171,311,327,336],"research":[50],"was":[51,317],"based":[52,285],"on":[53,268,313],"detailed":[54],"analysis":[55,73],"only":[57],"8":[58],"44":[61],"II.":[65],"present":[68],"study,":[69],"systematic,":[71],"quantitative":[72],"all":[75,147,258],"libri":[84],"is":[85,255],"carried":[86],"out":[87],"to":[88,90,124,137,169,213,290],"discover":[89],"what":[91],"extent":[92,215],"an":[97,293],"important":[98],"behind":[100],"plans.":[103],"Our":[104],"results":[105],"show":[106,198],"Palladio":[108,164,301],"did":[109],"indeed":[110],"have":[111,181,291],"definite":[113],"preference":[114,200,328],"for":[115,201,329],"numbers":[116,156],"which":[117,157,203],"can":[118,158,204],"be":[119,159,205],"related":[120,206],"corresponding":[123],"standard":[126],"intervals.":[128],"However,":[129],"he":[130],"does":[131],"not":[132,211],"make":[133,170],"any":[134],"consistent":[135],"attempt":[136,168],"render":[138],"completely":[141,260],"harmonic.":[142],"Only":[143],"about":[144],"two-thirds":[145],"dimensions":[149,202,331],"are":[155,233],"incorporated":[160],"into":[161],"ratios.":[163],"often":[165],"made":[166],"no":[167,319],"published":[172,219,239],"measurements":[173],"accord":[174],"with":[175,266],"harmonies":[177,288],"where":[178],"this":[179],"could":[180],"done":[183],"by":[184,207,318],"minor":[185],"alterations,":[186],"such":[187],"as":[188,321,323],"insignificant":[189],"changes":[190],"wall":[192],"thicknesses.":[193],"The":[194],"actual":[195],"buildings,":[196],"too,":[197],"ratios,":[209],"although":[210],"quite":[212],"A":[224],"few,":[225],"most":[226],"notably":[227],"Villa":[229,274],"Barbaro":[230,267],"at":[231,275],"Maser,":[232],"significantly":[234],"more":[235],"\"harmonic\"":[236],"versions":[240],"than":[241],"reality.":[243],"view":[245],"Daniele":[247],"Barbaro's":[248],"well-known":[249],"interest":[250,294],"proportion,":[253],"it":[254],"significant":[256],"postdate":[263],"collaboration":[265],"Vitruvius":[270],"edition":[271],"and":[272],"Maser.":[276],"Most":[277],"patrons":[280],"those":[282],"closely":[284],"upon":[286],"appear":[289],"shared":[292],"or":[297,343],"architectural":[298],"theory.":[299],"While":[300],"almost":[302],"certainly":[303],"used":[304],"theory":[306],"some":[308],"later":[309],"designs,":[310],"dependence":[312],"proportion":[316],"means":[320],"great":[322],"implied.":[325],"Elsewhere,":[326],"probably":[332],"resulted":[333],"either":[334],"from":[335,344],"use":[337],"certain":[339],"favorite":[340],"room":[341],"shapes,":[342],"practical":[346],"advantages":[347],"using":[349],"simple,":[350],"easily":[351],"divisible":[352],"numbers.":[353]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3}],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2016-06-24T00:00:00"}