{"id":"https://openalex.org/W1045454571","doi":"https://doi.org/10.1007/978-3-642-21590-2_15","title":"N th Roots of Pitch-Class Inversion","display_name":"N th Roots of Pitch-Class Inversion","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1045454571","doi":"https://doi.org/10.1007/978-3-642-21590-2_15","mag":"1045454571"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21590-2_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21590-2_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5008343206","display_name":"Robert W. Peck","orcid":"https://orcid.org/0000-0002-6226-1631"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert W. Peck","raw_affiliation_strings":["School of Music, Louisiana State University, United States"],"affiliations":[{"raw_affiliation_string":"School of Music, Louisiana State University, United States","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008343206"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":10.7538,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.97203081,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"196","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10941","display_name":"Musicology and Musical Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9954000115394592,"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":0.9896000027656555,"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/inversion","display_name":"Inversion (geology)","score":0.7299549579620361},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.7184360027313232},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4915512502193451},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46949175000190735},{"id":"https://openalex.org/keywords/transformational-leadership","display_name":"Transformational leadership","score":0.4250931143760681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4233730435371399},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34545063972473145},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21857506036758423},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.1304524540901184}],"concepts":[{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.7299549579620361},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.7184360027313232},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4915512502193451},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46949175000190735},{"id":"https://openalex.org/C38775462","wikidata":"https://www.wikidata.org/wiki/Q1569376","display_name":"Transformational leadership","level":2,"score":0.4250931143760681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4233730435371399},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34545063972473145},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21857506036758423},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.1304524540901184},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-21590-2_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21590-2_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:repository.lsu.edu:music_pubs-1080","is_oa":false,"landing_page_url":"https://repository.lsu.edu/music_pubs/81","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W266013613","https://openalex.org/W281781743","https://openalex.org/W785547126","https://openalex.org/W1530075677","https://openalex.org/W1553399740","https://openalex.org/W1565930783","https://openalex.org/W1981513843","https://openalex.org/W1986458976","https://openalex.org/W2000743297","https://openalex.org/W2043453567","https://openalex.org/W2061981200","https://openalex.org/W2086304128","https://openalex.org/W2090998719","https://openalex.org/W2143759030","https://openalex.org/W2150117890","https://openalex.org/W3040586665","https://openalex.org/W3043060850","https://openalex.org/W4239086625","https://openalex.org/W4242112856","https://openalex.org/W4252464960","https://openalex.org/W4256144170","https://openalex.org/W4298265385"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2164219312","https://openalex.org/W2981038504","https://openalex.org/W2952333978","https://openalex.org/W2201615437","https://openalex.org/W2955928055","https://openalex.org/W2390457653","https://openalex.org/W2954424392","https://openalex.org/W4298192601","https://openalex.org/W1594396050"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
