Frequencies?

[Jason Kanter]

John Delacour, than is an extremely elegant formula. Thank you.

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jason kanter * piano tuning * piano teaching
bellevue, wa * 425 562 4127 * cell 425 831 1561
orcas island * 360 376 2799
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> From: John Delacour <JD@Pianomaker.co.uk>
> Reply-To: pianotech@ptg.org
> Date: Sat, 23 Feb 2002 15:29:36 +0000
> To: pianotech@ptg.org
> Subject: Re: Frequencies?
> 
> At 10:48 PM -0800 21/2/02, Stephen Airy wrote:
>> Here's a method to figure it out, not accounting for
>> inharmonicity.  Since A4 is 440 Hz, an octave lower is
>> 1/2 the frequency, or 220 Hz.  A0 is the lowest note
>> on the piano, being 27.5Hz.  Multiply 27.5 by the 12th
>> root of 2 (1.0594630943593 on my TI-92 Plus),  and
>> multiply each result by 1.0594630943593 88 more times.
>> 
>> For example:
>> 
>> 27.5 (A0)
>> 27.5 * 1.0594630943593 = 29.135235094881 (A#0)...
> 
> In a spreadsheet, if a cell named "FORK" is given the value of A_49
> (eg. 440) and the column containing the note numbers is named "NOTE",
> then the following formula filled down through a column will give the
> frequencies.  To change the values, you need only to change the value
> of "FORK".
> 
> 
> 
> =FORK*(2^((NOTE-49)/12))
> 
> 
> 
> 
> FORK 442.00
> 
> NOTE f
> 
> C -8 16.43
> C# -7 17.40
> D -6 18.44
> D# -5 19.53
> E -4 20.70
> F -3 21.93
> F# -2 23.23
> G -1 24.61
> G# 0 26.07
> A 1 27.63
> A# 2 29.27
> B 3 31.01
> C 4 32.85