Tone Systems

 
Bild:  Tone Systems

Tone Systems

Daniel Muzzulini

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          Bild:  Coincidence theory of consonance: intervals

          Coincidence theory of consonance: intervals

          Leonhard Euler

              Bild:  Coincidence theory of consonance

              Coincidence theory of consonance

              Galileo Galilei

                  Bild:  Coincidence theory of consonance

                  Coincidence theory of consonance

                  Leonhard Euler

                      Bild:  Circular slide rule

                      Circular slide rule

                      William Oughtred

                          Bild:  Circular diagrams - combination tones

                          Circular diagrams - combination tones

                          Giuseppe Tartini

                              Bild:  Circular arrangement of superparticular ratios

                              Circular arrangement of superparticular ratios

                              Gioseffo Zarlino

                                  Bild:  Circular Pitches, Three Octaves

                                  Circular Pitches, Three Octaves

                                  Vincenzo Galilei

                                      Bild:  Circles

                                      Circles

                                      Walter Odington

                                          Bild:  Circle of fifths

                                          Circle of fifths

                                          Nikolay Diletsky

                                              Bild:  Chromatic scale with superparticular semitone ratios

                                              Chromatic scale with superparticular semitone ratios

                                              John Wallis

                                                  Bild:  Chromatic scale

                                                  Chromatic scale

                                                  John Wallis

                                                      Bild:  Chromatic scale

                                                      Chromatic scale