Jim wrote: > > Hi Richard: > > If you think of a cent as a very small interval, it may help you to see > the difference between cents and Hz (cycles per second). If you have > an IBM type computer, I can send you a program written in BASIC which > will convert cents to beats in relation to a particular note. Its twin > program will convert beats into cents. The program does all of the > wrestling with the logs, you can come back in out of the woods (logs) > now. This offer is for anyone else who will send me a personal request > by email. > > When you realize that at the pitch of 440, it takes almost a 4 cent > raise to bring it up to 441. At 880 pitch it only takes 2 cent to > raise to 881. At 1760 pitch it takes almost 1 cent to raize to 1761. > >From this it is easy to see that cents relate to Hz or beats is a way > that is not too simple, yet not too difficult. That's where logarithms > come in. On might say "there is a rhythm to logarithms." > > Jim Coleman, Sr. > > On Wed, 5 Feb 1997, Richard Moody wrote: > > > > > Some Questions: > > > > Not sure why, but someone (had to be a mathematition) decided to divide up > > each interval into 100 parts. Each part is called a cent. Since there are > > 12 intervals in an octave there are 1200 cents in an octave. > > > > What is the difference between cents in an interval, and per cent of an > > interval? > > > > Is 2 cents the same as 2% of an interval. > > > > If I read that a third is flat by 3.5 cents, how do I translate that to > > cycles per second. Other wise how would one figure the beat rates for > > different temperaments? > > > > I know little about logs other than the ones that heat my house. Can cents > > be calculated with out them.? Better yet is there a way to calculate > > temperaments without using cents? > > > > Here are some calculations I have tried. Looking for confirmation or > > corrections, or suggestions. > > > > > > Distance between one interval 100 cents. > > > > Freq of Middle C (mC) 261.626 > > Difference between mC and C# in cps. 277.183 - 261.626= 15.557 > > Difference between mC and C# in cents > > 100 > > > > Question: Does one cent here mean a value of .15557 cycles per second? > > > > > > If I want to tune mC sharp by 4 cents. Do I > > multiply .15556 by 4 and add it to the freq of mC ? > > 261.626 + 0.62224 = 262.24824 > > > > I ask this because I have seen some tables that give different temperaments > > in cents differing from Equal Temperament. To tune by ear one needs to > > know the beat rates of the intervals, and to figure these the cycles per > > second have to be known. Then the partials must be figured, and then > > the beats from them. OR is there a way to figure beat rates from cents? > > > > > > Thanks for your consideration > > > > Richard Notoutofthewoodsyet Moody > > > > He went to the woods to learn about logs. > > > > > > > > > > Jim, I would be interested in that program if you would be so kind. BTW, I am happy to announce that I have purchased a friends Accutuner for $130 and sent it in for the upgrade. I think I'll have about $700 in it by the time I'm done. Not as glitsy looking as the new ones but just as useful. I will now be paying much closer attention to the posts you offer about this little marvel. Thanks for all your help! Greg --
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