Russo, Francesco and De Vivo, Clorinda and Fergola, Paolo (2004) La Musica Algoritmica e l'Offerta Musicale di J.S.Bach. Discussion Paper. Delta 3, Avellino, Italy.
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| Item Type: | Monograph (Discussion Paper) | ||||||||
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| Title: | La Musica Algoritmica e l'Offerta Musicale di J.S.Bach | ||||||||
| Creators: |
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| Date: | 9 June 2004 | ||||||||
| Date Type: | Submission | ||||||||
| Institution: | Università degli Studi di Napoli Federico II | ||||||||
| Department: | Matematica e applicazioni "Renato Caccioppoli" | ||||||||
| Place of Publication: | Avellino, Italy | ||||||||
| Publisher: | Delta 3 | ||||||||
| Date: | 9 June 2004 | ||||||||
| Uncontrolled Keywords: | Mathematics Education, Mathematics-Music, Algorithmic Music | ||||||||
| MIUR S.S.D.: | Area 02 - Scienze fisiche > FIS/08 - Didattica e storia della fisica Area 01 - Scienze matematiche e informatiche > MAT/03 - Geometria Area 01 - Scienze matematiche e informatiche > MAT/02 - Algebra |
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| Date Deposited: | 20 Mar 2008 | ||||||||
| Last Modified: | 17 Dec 2014 11:58 | ||||||||
| URI: | http://www.fedoa.unina.it/id/eprint/1307 |
Abstract
The object of this work is an algebraic – geometric analysis of the canons of the Musical Offering of J.S.Bach. We construct a simulation model, thanks to the logic of imitation and thanks to the classical techniques of the harmony, which are present in the Musical Offering. Many of these techniques give musical criteria to understand, compose and classify a canon, so we have translated them in the mathematical language, using the affinities of the euclidean bidimensional space. Such approach allows us to write each canon of each period in a suitable linear system. A treatment of this kind for a musical piece offers a new method to compose, giving different numerical values to the coefficients of the linear system.
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