[pianotech] Do fourths beat faster?

[Daniel Carlton]

To determine the effect of inharmonicity on the frequency of the
partials, the iH constant is multiplied by the square of the partial
number. For a fifth the partial numbers are 3 and 2. The squares are 9
and 4. So iH affects the lower partial of a fifth over twice as much
as the upper partial. But for a fourth, the partial numbers are 4 and
3. The squares are 16 and 9. So iH affects the lower partial of a
fourth less than twice as much as upper partial. Also a fifth is a
larger part of an octave than a fourth. So any stretch done by the
tuner will affect a fifth more than a fourth

I'm dizzy.

Daniel Carlton







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