Klarinet Archive - Posting 000332.txt from 2004/11

From: Joe Fasel <jhf@-----.gov>
Subj: Re: [kl] pitch standard
Date: Mon, 8 Nov 2004 15:49:08 -0500

Hi Walter,

Since frequency doubles with each octave, there is a logarithmic
relationship between frequency and pitch. The number of cents
of pitch difference between two frequencies f1 and f2 is

cents =3D 1200 log-base-2(f2/f1)

(100 cents is one semitone.) For f1=3D439Hz and f2=3D440Hz, this gives
you close to 4 cents. And yes, 442 is about 8 cents sharp to 440,
but as you go higher, a constant difference in frequency becomes
less of a difference in pitch.

Cheers,
--Joe

On 2004.11.08 13:31, GrabnerWG@-----.com wrote:
> In a message dated 11/7/2004 12:49:53 PM Central Standard Time, =20
> manonrivet@-----.ca writes:
> <<A definition was requested of a cent...........................
>=20
> There are 100 cents between any two chromatic notes.
> It happens that at A440, 1hz is 4 cents.>>
> =20
> Question: is this uniform throughout the scale, or does it change if you =
are=20
> much higher or lower?=20
> =20
> Or is 1hz always 4 cents?
>=20
> <<A439 is 4 cents flat.>>
> =20
> Is A=3D442 therefore 8 cents sharper than A=3D442? Is A=3D444 therefore 1=
4 cents=20
> sharper? If so, this doesn't seem to correlate with my tuner when I cali=
brate=20
> it higher, for example 442 instead of 440.
> =20
> Please excuse me if these are simple questions. I simply don't know.
>=20
>=20
> Walter Grabner
> www.clarinetXpress.com
> World-class clarinet mouthpieces
> =20
>=20
> ---------------------------------------------------------------------
> Klarinet is a service of Woodwind.Org, Inc. http://www.woodwind.org
>=20
>=20

Joseph H. Fasel, Ph.D. email: jhf@-----.gov
Systems Planning and Analysis phone: +1 505 667 7158
University of California fax: +1 505 667 2960
Los Alamos National Laboratory post: D-2 MS F609; Los Alamos, NM 8=
7545

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