[Harp-L] My two cents



From: "James Sterett" <jsterett@xxxxxxxxx>
In regard to the cents, would you explain a bit further... how is a cent calculated in the A4XX tuning scheme? Meaning, if A442 = +08, what does +02 equal? etc. Also, does A440 always = +00?


I'm sure that Tim will answer, but if you look at the spreadsheet that I sent the link for yesterday you can see the answer quite clearly. A cent is 1/100 of the frequency change of a semitone, so at 440 Hz one cent is approximately 1/4 of a Hz or 4 cents per Hz. At 220 Hz one cent is approximately 1/8 of a Hz or 8 cents per Hz and at 880 Hz one cent is approximately 1/2 of a Hz or 2 cents per Hz.

Since A442 is a 2 Hz change from 440 it's +8 cents and +02 cents would be 440.5 Hz. This is all assuming an A=440 Hz reference. A change of reference from A=440 Hz to A=442 Hz does change things slightly. At the reference the value of 1 cent changes by about -0.001 Hz.

My 2 cents. :0)

Peace and music,
Dave





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