A-428 Tuning Question - HELP

[Kent Swafford]

Robert Goodale wrote:

>Assuming I whip out the ol' trusty Sanderson II to set my "A", could
>someone tell me how many cents flat A-428 should be from A-440?  Any
>additional suggestions would also be of help. 
>
>Thanks!
>
>Rob Goodale, RPT

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