Text: "The simpler the ratio of the two parts into which the string was divided, the more perfect was the harmony of the two sounds. Ratios with large numbers have overtones with beats. Ratios with smaller numbers are less apt to have beats or dissonance." (6) pg 386 Unison 1:1 Octave 1:2 Fifth 2:3 Fourth 3:4 Major Third 4:5 Minor Third 5:6 Greater Step or Minor Tone 8:9 Dissonant Diatonic Semitone 15:16 Dissonant, harsh & grating Enharmonic 125:128

See Also: DISSONANCE, INTERVAL, RESULTANT TONES, BEATS, DIFFERENCE TONES, LAW OF SUPERPOSITION

Source: 6