Wow, forget what I said earlier.  This sound a lot smarter.
Luke Zyla

----- Original Message ----- 
From: "Steve Haflich" <[email protected]>
To: <[email protected]>; "The Horn List" <[email protected]>
Cc: "Horn Mailing List New" <[email protected]>
Sent: Wednesday, February 10, 2010 9:06 PM
Subject: Re: [Hornlist] how much does pitch change with temperature?


> Bob -- This was discussed about a decade ago.  Somewhere in my records I
> have a more-exhaustive summary, but here is an approximate formula for
> speed of sound against temperature
>
>  http://www.sasked.gov.sk.ca/docs/physics/u5b22phy.html
>
>  v = (331 + 0.610t) m/s
>
> which suggests for each degree C temperature rise a wind becomes
>
>   1200 log(1 + .610/331) ==> 3.19 cents/degree celsius
>
> There is a counteracting effect of the instrument flattening due to the
> expansion of the tube increasing length, but IIRC my ancient
> calculations this effect for brass is only about 1/20 the magnitude of
> sound velocity change.
>
> 7 degree F is a little less than 4 degrees C, so expect a sharpening
> around 12 cents.  Of course, this ignores the effects of your breath
> cooling as it travels down the tube, at a rate that depends on how much
> you have been blowing very recently, the difference between the external
> temperature and your body temperature, and indeed on the velocity of the
> air stream (which depends on dynamics, tessitura, etc. etc.).
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