A-428 Tuning Question - HELP: Response and thanks!

Robert Goodale Robert.Goodale@nau.edu
Sun, 25 Jan 1998 12:29:10 -0700


To all those who promptly responded, many thanks!

(Jim, Gina, Newton, and others)

I was figuring about -48 cents, but realize that the mathmatical formula
is not exactly perfect. 

Kent was most helpful in providing the following table. Thanks Ken!


Kent Swafford wrote:
> 
> If you offset the SAT 4 cents for every 1 Hz difference between 440 and
> the frequency at which you wish to tune, it will be accurate enough for
> most any application.
> (428 then would be -48 cents)
> 
> If you feel the need for ultimate accuracy, there are formulae to do
> these conversions taking into consderation that Hz and cents do not have
> a straight line relationship.
> (1200 cents flat = 220 Hz, a difference of _220 Hz_ from 440, while
>  1200 cents sharp = 880 Hz, a difference of _440 Hz_ away from 440.)
> 
> Here is a conversion table made up with formulae taught by Steve
> Fairchild:
> 
>                           CENTS/HZ  CONVERSION CHART
> 
>                Frequency(Hz) to Cents Deviation (Offset)
>                           A4 = 415Hz =  -101.3 cents
>                           A4 = 428Hz =   -47.9 cents
>                           A4 = 430Hz =   -39.8 cents
>                           A4 = 435Hz =   -19.8 cents
>                           A4 = 440Hz =     0.0 cents
>                           A4 = 441Hz =     3.9 cents
>                           A4 = 442Hz =     7.9 cents
>                           A4 = 443Hz =    11.8 cents
>                           A4 = 444Hz =    15.7 cents
> 
>                        Cents Deviation to Frequency(Hz)
>                          A4 =  -50.0 cents = 427.5Hz
>                          A4 =  -25.0 cents = 433.7Hz
>                          A4 =  -15.0 cents = 436.2Hz
>                          A4 =  -10.0 cents = 437.5Hz
>                          A4 =   -5.0 cents = 438.7Hz
>                          A4 =    0.0 cents = 440.0Hz
>                          A4 =    5.0 cents = 441.3Hz
>                          A4 =   10.0 cents = 442.5Hz
>                          A4 =   15.0 cents = 443.8Hz
> 
> Kent Swafford


Thanks Again!

Rob Goodale, RPT


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