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RATIOS of VIBRATIONS

Text: Principal Figures between the Octave 2:1 and Double-Octave 6:1 (The comparative lengths of principal and secondary pendulums,measured from point of suspension to center of oscillation, are inversely proportional to the squares of the vibrations.) Ratio Interval 3:2 Perfect 5th 64:45 Diminished 5th 8:5 Minor 6th 5:3 Major 6th 7:4 Harmonic 7th 16:9 Dominant or Minor 7th 9:5 Tonic 7th 15:8 Major 7th 2:1 Octave 1:4 32:15 Minor 9th 225:1024 9:4 Major 9th 16:81 7:3 Harmonic Minor 10th 9:49 12:5 Minor 10th 25:144 5:2 Major 10th 4:25 8:3 Perfect 11th 9:64 11:4 Harmonic 11th 16:121 45:16 Augmented 11th 256:2025 3:1 Perfect 12th 1:9 25:8 Augmented 12th 16:5 16:5 Minor 13th 25:256 13:4 Harmonic 13th 10:3 10:3 Major 13th 9:100 7:2 Harmonic 14th 4:49 32:9 Dominant 14th 81:1024 18:5 Tonic 14th 15:4 Major 14th 16:225 4:1 Double-Octave 1:16 81:80 Komma 25:24 Lesser Chromatic Semitone 135:128 Greater Chromatic Semitone 10:9 Smaller Step or Minor Tone 45:32 Triton from (32) See INTERVAL

See Also: INTERVAL, HARMONICS-RATES-OF

Source: 32

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