{"title":"Scales and Melody","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-4","DOIUrl":"https://doi.org/10.4324/9781315167749-4","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"162 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116600856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Secondary Dominants and Tonicization","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-18","DOIUrl":"https://doi.org/10.4324/9781315167749-18","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"467 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117009190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Intervals","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-3","DOIUrl":"https://doi.org/10.4324/9781315167749-3","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128455162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pitch and Notation","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-2","DOIUrl":"https://doi.org/10.4324/9781315167749-2","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124049061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Musical Time","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-7","DOIUrl":"https://doi.org/10.4324/9781315167749-7","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126003109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modulation II","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-22","DOIUrl":"https://doi.org/10.4324/9781315167749-22","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127596758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Chords","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-6","DOIUrl":"https://doi.org/10.4324/9781315167749-6","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121600446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Set Theory","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-28","DOIUrl":"https://doi.org/10.4324/9781315167749-28","url":null,"abstract":"0009 Most mathematicians think of set theory as providing the basic foundations for mathematics. So how does this really work? For example, how do we translate the sentence “X is a scheme” into set theory? Well, we just unravel the definitions: A scheme is a locally ringed space such that every point has an open neighbourhood which is an affine scheme. A locally ringed space is a ringed space such that every stalk of the structure sheaf is a local ring. A ringed space is a pair (X,OX) consisting of a topological space X and a sheaf of rings OX on it. A topological space is a pair (X, τ) consisting of a set X and a set of subsets τ ⊂ P(X) satisfying the axioms of a topology. And so on and so forth.","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134040652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Seventh Chords","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-14","DOIUrl":"https://doi.org/10.4324/9781315167749-14","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122543698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Dissolution of the Tonal System","authors":"Jason W. Solomon","doi":"10.4324/9781315167749-25","DOIUrl":"https://doi.org/10.4324/9781315167749-25","url":null,"abstract":"","PeriodicalId":207895,"journal":{"name":"Music Theory Essentials","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133697891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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