In a message dated 4/30/01 2:01:24 PM, jpehrson@...
<< > _3 Pieces for Piano_ op. 11, he requires the performer to hold
> down the notes of a triad in the middle register of the piano
> without sounding the strings, and then to play with a strong
> attack a single very low note that would be a "fundamental" of
> those pitches, thereby inducing the strings of the triad (with
> the keys still held down) to sound, vibrating in sympathy with
> the 4th, 5th, and 6th harmonics of the low note. >>
But remember that a much better demonstration of the 4:5:6 and beyond is done
on a piano in _reverse: Hold down a low key like a D (do not hold down any
pedals) and have someone strike the keys which hit strings resonating closest
to harmonic members of this pitch, hard and fast. The keys don't have to be
in the actual harmoinic register placement to cause the effect. One person
can do it by holding the D with a pencil and really smacking a chord as hard
and fast as possible starting on the octave above D F# A C D E F# G# A B.
The held D string blossoms. A grand with the lid open works best, obviously,
but any old piano will do - even one that's way "out of tune." Hours of fun.