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Razones, proporciones y pensamiento proporcional en la música pitagórica : un abordaje histórico-didáctico
Authors: Abdounur, Oscar João
Title of Book: La proporción : arte y matemáticas
Start Page: 61
End Page: 86
Place of Publication: Barcelona
Publisher: Editorial Graó
Date of Publication (YYYY-MM-DD): 2009
Document Type: InBook
ID: 472052.0


Ratios and music in the late Middle Ages : a preliminary survey
Authors: Abdounur, Oscar João
Title of Book: Music and mathematics in late medieval and early modern Europe
Start Page: 23
End Page: 69
Place of Publication: Turnhout
Publisher: Brepols
Date of Publication (YYYY-MM-DD): 2008
Document Type: InBook
ID: 408754.0


Il cambiamento di paradigmi nella relazione tra matematica e musica tra il tardo Medioevo e il Rinascimento
Authors: Abdounur, Oscar João
Title of Book: Matematica e Cultura2007
Start Page: 161
End Page: 172
Place of Publication: Milano
Publisher: Springer Italia
Date of Publication (YYYY-MM-DD): 2007
Document Type: InBook
ID: 351992.0


Mudanças estruturais nos fundamentos matemáticos da música a partir do século XVII : considerações sobre consonância, série harmonica e temperamento
Authors: Abdounur, Oscar João
Date of Publication (YYYY-MM-DD): 2007
Title of Journal: Revista Brasileira de História da Matemática: Special Issue N°1 - Festschrift Ubiratan D'Ambrosio
Volume: 7
Start Page: 369
End Page: 380
Document Type: Article
ID: 351928.0


Compounding ratios and intervals: an educational approach in mathematics and music
Authors: Abdounur, Oscar João
Date of Publication (YYYY-MM-DD): 2002
Title of Journal: Teaching Mathematics and its Applications
Volume: 21
Issue / Number: 1
Start Page: 1
End Page: 10
Document Type: Article
ID: 31536.0


Compounding ratios and intervals : an educational/historical approach in mathematics and music
Authors: Abdounur, Oscar Joao
Place of Publication: Berlin
Publisher: Max-Planck-Institut für Wissenschaftsgeschichte
Date of Publication (YYYY-MM-DD): 2002
Physical Description
(e.g. Total Number of Pages):
 11 S.
Title of Series: Preprint / Max-Planck-Institut für Wissenschaftsgeschichte
Volume: 205
Document Type: Book
ID: 46886.0


Ratios and music in the late Middle Ages : a preliminary survey
Authors: Abdounur, Oscar Joao
Place of Publication: Berlin
Publisher: Max-Planck-Institut für Wissenschaftsgeschichte
Date of Publication (YYYY-MM-DD): 2001
Physical Description
(e.g. Total Number of Pages):
 37 S.
Title of Series: Preprint / Max-Planck-Institut für Wissenschaftsgeschichte
Volume: 181
Document Type: Book
ID: 46887.0


Theoretical music and the emergence of an arithmetical theory of ratios between 14th and 16th centuries
Authors: Abdounur, Oscar João
Title of Book: III Seminário Nacional de História da Matemática
Start Page: 132
End Page: 149
Place of Publication: Natal
Publisher: Sociedade Brasileira de História da Matemática
Date of Publication (YYYY-MM-DD): 2001
Document Type: InBook
ID: 48353.0


História da relaçao matemática-música e construçao de significados
Authors: Abdounur, Oscar Joao
Title of Book: Facetas do diamante
Start Page: 205
End Page: 240
Place of Publication: Natal
Publisher: Sociedade Brasileira de História da Matemática
Date of Publication (YYYY-MM-DD): 2000
Document Type: InBook
ID: 48354.0


Theories of ratio and theoretical music : an educational approach
Authors: Abdounur, Oscar Joao
Title of Book: Proceedings of the HPM 2000 Conference History in Mathematics Education : challenges for the new millenium
Start Page: 83
End Page: 93
Place of Publication: Taipei
Publisher: National Taiwan Normal Univ.
Date of Publication (YYYY-MM-DD): 2000
Document Type: InBook
ID: 48355.0