This is a multi-part message in MIME format. ---------------------- multipart/alternative attachment Excellent, Wim. One minor technicality. You said, in part: "That means = A# beats 26.164 faster than A ..." whereas A# doesn't beat at all, of = course, nor does any pitch, unless it is beating against a different = pitch. So all we are saying is that A#4 played against A4 would beat at = 26.164 ... etc. I think I have this right? But I also agree with you; = to wit: "So what?" Merry Christmas to all ... Alan Barnard Mucho Snow in Salem, MO ----- Original Message -----=20 From: Wimblees@aol.com=20 To: pianotech@ptg.org=20 Sent: Monday, December 23, 2002 2:04 PM Subject: Re: Cents to Hertz Conversion Chart In a message dated 12/23/02 12:25:08 PM Central Standard Time, = joegarrett@earthlink.net writes: Alan, Thanks for the link! Nice to have. One thing struck me: As this is a = chart to convert Cents TO Hertz,(CPS), there is nothing that shows the = exact cents to achieve frequencies such as 435cps or 425cps. I wonder if there = is a reverse of this chart somewhere? Oh, as an aside, on the bottom of the chart is the statement that = this chart is copyrighted by "International Piano Suppy". Who/what is that? Best Regards, Joe Garrett, RPT, (Oregon) Joe Technically, the chart doesn't convert cents to Hertz. You cannot = convert cents to Hertz, because cents are not a frequency. What this = chart is showing is at what frequency, (or Hertz), a particular note is = beating a certain number of cents above or below that particular note. = If you look at A, and zero cents, it shows the frequency, or Hertz, is = 440.00. (It is presumed that A on this chart is A4.) Then for every = cents below A, it give the frequency. =20 Cents are the measurement between intervals, and there are 100 cents = between each interval. There are 100 cents between A0 and A#0 and = between B7 and C8, and between every interval all the way up and down = the piano. The higher you go up the scale, the difference in the number = of Htz between notes gets greater and greater. The greater the = difference, the fewer cents there will be between beats. And the = opposite, there are fewer beats difference between intervals as you go = down the scale, so there will be more cents between beats.=20 That is what this chart illustrates. A 440 is at 440.000 Htz. A# is at = a frequency of 466.164. That mean A# beats 26.164 faster than A. There = are 100 cents between A and A#. That means the difference between each = beat is about 3.82 cents. G# beats at 415.305 beats per second, which is = 24.95 beats less than A. There also 100 cents between G# and A. But = because it is lower, there are more cents between beats. (4.01 to be = exact). =20 So if you want tune a piano to A435, considering there are about 4 = cents difference between beats at A4, you multiply 5 beats times 4 = cents, and you get 20 cents. If you want to go down to A425, you = multiply 4 cents time 15 beats, or 45 cents.=20 According to the chart, the closest you can get to A 435 is 435.197 at = 19 cents below A or 434.916 at 20 cents below A. So if you want to get = super accurate, you'll have to off set your machine to 19.5. But I don't = think any one will hear the difference if you play it safe at 19 or 20 = cents below A.=20 Quite frankly, someone spent a lot of time on a chart that is = virtually useless. Why would any one want to know the frequency of D# = 50 cents below pitch? Whoever put this together at the International = Piano Supply Company either had too much time on their hands, or is = trying to impress piano tuners that they know something others don't. = But as far as I'm concerned, this is useless information.=20 Wim ---------------------- multipart/alternative attachment An HTML attachment was scrubbed... URL: https://www.moypiano.com/ptg/pianotech.php/attachments/1c/d0/cf/75/attachment.htm ---------------------- multipart/alternative attachment--
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