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Jul 6th, 2004 07:05
Fedrix Marc, Robert Walker, http://www.cpdiscount.com http://www.cpsilver.com http://www.cphandmade.com http://www.cpcustomjewelry.com
How to convert a ratio or decimal to cents When you add cents, you multiply ratios. Let c be one cent as a ratio or decimal. Since 1200 cents make one octave, we have: c*c*...*c (1200 times) = 2. In other words: c^1200 = 2. Here c works out as 1.00057778951. Let's try to find 5/4 in cents. Then we want x such that c^x = 5/4. So taking logs, we want 1200 log c =log 2 and x log c = log (5/4) so x /1200 = log (5/4)/log 2 and so x = 1200 log (5/4)/log 2. which works out at 386.31371386483 To check this: c^386.31371386483 = 1.00057778951^386.31371386483 = 1.25 = 5/4 General formula is value in cents = 1200 log(ratio)/log 2.