Just Hammond: Difference between revisions
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<math>f_A=20.0/sec\cdot\frac{88}{64}\cdot(2^4)=440.0/sec = 440.0 Hz</math> | <math>f_A=20.0/sec\cdot\frac{88}{64}\cdot(2^4)=440.0/sec = 440.0 Hz</math> | ||
== Mapping | == Mapping Hammond’s Rational Intervals to the Harmonic Series == | ||
To find out, where the rational intervals played on a Hammond Organ occur in the harmonic series we | To find out, where the rational intervals played on a Hammond Organ occur in the harmonic series we | ||
* cancel the fractions of gear-ratios specified by Hammond and | * cancel the fractions of gear-ratios specified by Hammond and | ||
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* ... | * ... | ||
This numbering scheme is consistent with the scheme used by [[Bill Sethares]]<ref>Sethares, William A. ''Tuning Timbre Spectrum Scale.'' London: Springer Verlag , 1999.</ref> : “''In general, the n<sup>th</sup> octave contains 2<sup>n-1</sup> pitches''” | This numbering scheme is consistent with the scheme used by [[Bill Sethares]]<ref>Sethares, William A. ''Tuning Timbre Spectrum Scale.'' London: Springer Verlag , 1999.</ref> : “''In general, the n<sup>th</sup> octave contains 2<sup>n-1</sup> pitches''.” | ||