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Arithmetic and harmonic division of the consonances (from fifth to double octave)

 

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      Picture: Descartes 1668

      Descartes 1668

      René Descartes

          Picture: Descartes 1683

          Descartes 1683

          René Descartes

              Picture: Descartes's circular pitch diagrams

              Descartes's circular pitch diagrams

                  Picture: Descartes: consonance circle

                  Descartes: consonance circle

                      Picture: Descartes: diatonic scale 1

                      Descartes: diatonic scale 1

                          Picture: Descartes: diatonic scale 2

                          Descartes: diatonic scale 2

                              Picture: Descartes: hexachords

                              Descartes: hexachords

                                  Picture: Figurate numbers

                                  Figurate numbers

                                      Picture: Francisco Salinas (1577)

                                      Francisco Salinas (1577)

                                          Picture: Gaspard Schott (1657)

                                          Gaspard Schott (1657)

                                              Picture: Guido of Arezzo: Micrologus

                                              Guido of Arezzo: Micrologus

                                                  Picture: Hexachords

                                                  Hexachords

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