[CAUT] inharmonicity in piano wire

Dan Reed pianoarts at tx.rr.com
Thu Feb 5 15:16:07 PST 2009


One explanation: Frequency of wire, and the subdivided wire, is related 
to: Tension, length, and thickness.

This ratio, relating to thickness (and stiffness) particularly, changes 
when the wire subdivides...

Consequently, the partials are sharper.

Inharmonicity also kills vibration.

One study suggests that after the 32 nd harmonic, resonance is overcome 
by damping, causing the wire to loose energy.

Dan

Dallas
On Feb 5, 2009, at 10:33 AM, reggaepass at aol.com wrote:

> List,
>
> I just received a query from a science faculty member at the art 
> institute where I work.  He asks how can it be that partials of piano 
> wire are sharp of what they "should" be?  I told him that my very 
> pedestrian understanding is that this phenomenon is due to the high 
> tension of piano wire up to pitch, but that is just me repeating what 
> I have heard "somewhere."  Is this response even close to being 
> correct?  Any further clarification as to why this is would be much 
> appreciated all the way around.
>
> Thanks,
>
> Alan Eder
> CalArts
>
>
> Carnations mean admiration, Tulips mean love - what do Roses mean? 
> Find out now! 
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