{"id":"https://openalex.org/W2062346018","doi":"https://doi.org/10.1142/s0129054108005565","title":"ON SOME COMBINATORIAL PROBLEMS CONCERNING THE HARMONIC STRUCTURE OF MUSICAL CHORD SEQUENCES","display_name":"ON SOME COMBINATORIAL PROBLEMS CONCERNING THE HARMONIC STRUCTURE OF MUSICAL CHORD SEQUENCES","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W2062346018","doi":"https://doi.org/10.1142/s0129054108005565","mag":"2062346018"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054108005565","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054108005565","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"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/A5045684463","display_name":"Domenico Cantone","orcid":"https://orcid.org/0000-0002-1306-1166"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"DOMENICO CANTONE","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, I-95125 Catania, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, I-95125 Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014100286","display_name":"Salvatore Cristofaro","orcid":"https://orcid.org/0000-0001-7188-389X"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"SALVATORE CRISTOFARO","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, I-95125 Catania, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, I-95125 Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105877451","display_name":"Simone Faro","orcid":"https://orcid.org/0000-0001-5937-5796"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"SIMONE FARO","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, I-95125 Catania, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale Andrea Doria 6, I-95125 Catania, Italy","institution_ids":["https://openalex.org/I39063666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045684463"],"corresponding_institution_ids":["https://openalex.org/I39063666"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07897997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"01","first_page":"103","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11567","display_name":"semigroups and automata theory","score":0.9779999852180481,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/chord","display_name":"Chord (peer-to-peer)","score":0.9284975528717041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5326570868492126},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.47447827458381653},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4720105826854706},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4417414367198944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4371337592601776},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4317470192909241},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06401842832565308}],"concepts":[{"id":"https://openalex.org/C194147245","wikidata":"https://www.wikidata.org/wiki/Q1076368","display_name":"Chord (peer-to-peer)","level":2,"score":0.9284975528717041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5326570868492126},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.47447827458381653},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4720105826854706},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4417414367198944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4371337592601776},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4317470192909241},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06401842832565308},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054108005565","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054108005565","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W34065357","https://openalex.org/W189826304","https://openalex.org/W206460701","https://openalex.org/W1606755952","https://openalex.org/W1981409766","https://openalex.org/W1989628686","https://openalex.org/W2000743297","https://openalex.org/W2011450965","https://openalex.org/W2061981200","https://openalex.org/W2125573542","https://openalex.org/W2989336274","https://openalex.org/W4210413403","https://openalex.org/W4242112856"],"related_works":["https://openalex.org/W2351864507","https://openalex.org/W3159818711","https://openalex.org/W3215212221","https://openalex.org/W2753058862","https://openalex.org/W2117851135","https://openalex.org/W2042398445","https://openalex.org/W2070360846","https://openalex.org/W2883093918","https://openalex.org/W4281616442","https://openalex.org/W2407141488"],"abstract_inverted_index":{"We":[0,30],"present":[1,61],"some":[2,55],"combinatorial":[3],"problems":[4,35],"which":[5,40],"arise":[6],"in":[7,16,18,90],"the":[8,19,24,85,88,91],"fields":[9],"of":[10,21,23,27,45,56,77,87],"music":[11,14],"representation":[12],"and":[13,49],"processing,":[15],"particular":[17],"context":[20],"analysis":[22],"harmonic":[25,47],"structure":[26],"chord":[28,38,75],"sequences.":[29],"are":[31],"mainly":[32],"concerned":[33],"with":[34],"related":[36],"to":[37,53,70],"sequences":[39],"exhibit":[41],"a":[42,73],"certain":[43],"kind":[44],"regular":[46],"structure,":[48],"provide":[50],"also":[51],"algorithms":[52],"solve":[54],"them.":[57],"In":[58],"particular,":[59],"we":[60],"an":[62],"[Formula:":[63],"see":[64],"text]-time":[65],"algorithm,":[66],"based":[67],"on":[68],"bit-parallelism,":[69],"check":[71],"whether":[72],"given":[74],"progression":[76],"length":[78],"n":[79],"is":[80,84],"regular,":[81],"where":[82],"m":[83],"size":[86],"chords":[89],"progression.":[92]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}