Tone Systems

 
Bild:  Tone Systems

Tone Systems

Daniel Muzzulini

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          Bild:  Harmonic motion

          Harmonic motion

          Hermann von Helmholtz

              Bild:  Harmonic and counter-harmonic mean

              Harmonic and counter-harmonic mean

              Gioseffo Zarlino

                  Bild:  Harmonic and arithmetic division of the octave

                  Harmonic and arithmetic division of the octave

                  Gioseffo Zarlino

                      Bild:  Half-clipped sinusoids

                      Half-clipped sinusoids

                      James H. Craig; Lloyd A. Jeffress

                          Bild:  Guido of Arezzo: Micrologus

                          Guido of Arezzo: Micrologus

                              Bild:  Greek tetrachord genera

                              Greek tetrachord genera

                              Johannes Cochlaeus

                                  Bild:  Greek Tetrachords

                                  Greek Tetrachords

                                  Walter Odington

                                      Bild:  Greek Tetrachords

                                      Greek Tetrachords

                                      Guillermus de Podio

                                          Bild:  Graphical score

                                          Graphical score

                                          Gaspar Schott

                                              Bild:  Geometric division of musical intervals

                                              Geometric division of musical intervals

                                              Jacobus Faber Stapulensis

                                                  Bild:  Geometric derivation of fifths and fourths according to Stevin

                                                  Geometric derivation of fifths and fourths according to Stevin

                                                  Isaac Beeckman

                                                      Bild:  Geometric and Syntonic Division of the Octave

                                                      Geometric and Syntonic Division of the Octave

                                                      Isaac Newton