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Figures for Jay Kappraff's
The Arithmetic of Nicomachus of Gerasa
and its Applications to Systems of Proportion

| Fig. 1 | Fig. 2 | Fig. 3 | Fig. 4 | Fig. 5 | Fig. 6 | Fig. 7 | Fig. 8 | Fig. 9 | Fig. 10 |

Fig. 4. Depressing the string of a monochord at its midpoint and sounding it with a bow yields a tone one octave above the fundamental tone characteristic of the whole string. The fifth and fourth correspond to bowed string lengths of 2/3 and 3/4 of the length of the fundamental. | top of page | back to text |

Musical harmonies created from string lengths

 

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