Re: Re: Ear buzzing when playing in quintet


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Posted by Math Doctor on July 08, 2002 at 08:45:41:

In Reply to: Re: Ear buzzing when playing in quintet posted by js on July 05, 2002 at 22:42:12:

For what it's worth and if anyone cares....

The frequency of the pitch generated is the greatest common divisor (GCD) of the frequencies, not the difference. For a major third this ends up being the same as the difference. For other intervals, like a major sixth, the pitch generated is not the difference (but divides the difference).

For example, playing 440 Hz (tuning note A) and 550 Hz (C# a slightly flat major third above tuning note A) produces 110 Hz (two octaves below tuning note A). Playing 330 Hz (slightly sharp E a 4th below tuning note A) and 550 Hz (C# above tuning note A) also generates 110 Hz (GCD), not 220 Hz (difference).

This effect is strongest when the intervals are in tune "harmonically" - not according to the well-tempered scale.



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