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The Concept of Sonus
The Concept of Numerus
The Concepts of Proportio
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according addition already Apel arithmetic Ars Antiqua Ars Nova author based basic Boethius Book books Bragard Brooklyn called case Chapter comparison concept concerning consonantia consonantiarum continuous correct course deals definition of consonance diapason diapente diatessaron difference distinguished divided division duple entire equal equality especially ethos example explanation first following found four Franco further general generaliter geometric given gives graph harmonica modulatio Hence History important instrumentalis invicem Jacobus Jacques de Liege Leipzig Liber made major matter mean meaning means mediaeval medietates Middle Ages Miletus mirror modern motion music theory musica theoretica musicus Musik namely necessary New York number numerus order perfect phrase practical present work proper proportion proportionality purpose Pythagoras quantity relation relationship same second sense sonora sonorum sonus numeratus sound species Speculum musicae subject symphonia term terms text theorist things thought three time tonus treatise triple understanding unitas unity various word words writer