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Simpson advocated a scale where a bell's partials are related to each other by fixed ratios i.e. like Wind and String instruments. He also advocated the partials should be the common chord of the prime, major third, fifth and octave with the hum note an octave lower. Taking the lowest frequency as the reference he suggested harmonic series should be 1 : 2 : 2.5 : 3 : 4. He supposed this combination would allow a bell to be in-tune with itself, resulting in a ring of bells to sound in-tune when rung traditionally and also when chimed. For the bell-founder, who takes the nominal as the reference, it would mean a slight decrease in frequency of the Hum and a slight increase in frequency of the Prime and Tierce.
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