Alan S. Watt wrote:
"...
(1) On any stringed instrument, but especially the piano, octaves are
"stretched" (wider than an exact frequency ratio of 2:1), due to the way
the harmonic series is produced in a vibrating string.
..."
I don't believe that this applies to instruments where the string has a
forced vibration - in practice that means bowed instruments. The forcing
normally drives all the overtones to exact multiples of the fundamental
forcing frequency. (And the abnormal cases are to be avoided - whistling
and scraping).
Laurie Griffiths
http://www.musements.co.uk/muse
where you will find music notation software for PCs.
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