Relationship of terms, was Important Question, was lucky break

[Newton Hunt]

"Alan R. Barnard" wrote:
> 
> Aha, aha, aHA! That's where I'm going with this ... how do Hz, Cents, and
> Beat Rates all interplay?
> 
> Does a certain percentage (cents) of distance between two tones determine
> the beat rate without regard to the Hz of those tones, or does it change
> with scale location, i.e., frequency?
> 
> Unisons: Small changes in the treble area make a very fast beat because the
> frequency changes drastically, compared to strings in the bass BUT what we
> call "cents" is obviously proportional and/or exponential to frequency
> because any given difference in cents means much a higher difference in
> frequency (Hz) in the treble than in the bass.
> 
> Anyone have an oscilloscope?
> 
> Experiment: One string of a bichord base note at, say, 110 Hz Fundamental (a
> theoretically perfect A3) and its companion string at 111.1 Hz. This is a
> one percent difference. Is that one "cent?" What is the beat/roll rate?
> 
> Now compare that to two strings in the treble, one at 2093.004
> (theoretically perfect C7) and another in that unison at exactly 2113.934
> Hz--also a one percent difference.
> 
> Will those two misaligned unisons each beat at the same rate exactly? Does
> each pair differ by the same "cents" if they differ by exactly the same
> percentage of Hz?
> 
> Is my brain just spinning cobwebs, or does anyone else wish they had a
> clearer understanding of the relationships of these terms?
> 
> Alan R. Barnard
> Unraveling in Salem, MO
> 
> ----- Original Message -----
> From: "sid blum" <sid@sover.net>
> To: "Pianotech" <pianotech@ptg.org>
> Sent: Wednesday, September 18, 2002 8:59 PM
> Subject: Re: Important Question, was lucky break
> 
> >
> > ----- Original Message -----
> > From: Kevin E. Ramsey
> >
> >   "  Well, Alan, unless I'm wrong (In which case I'm sure I'll hear about
> > it), in the area of the upper temperament, the difference between A440 and
> > A441 is approxiamately 4 cents, so 442 would be eight cents sharp.
> >     That being said, one cycle at A0 would be about 64 cents at the
> > fundemental level, according to Jim Coleman Sr. So I suppose that one
> cycle
> > per second at the top of the piano would probably be a fraction of a cent.
> > Just this month he mentioned that, and remarked that it gave a whole new
> > light on lower bass tuning, and quibbling over a few tenths of a cent. "
> > ********************************************************
> >
> > This reminds me of a thought I had recently while reading various posts
> > relating to ETD s.  Would it not be useful to have an ETD that could also
> > read out in the language of frequency (cycles per second)?
> >
> > I'm way over my head here, but I'm thinking a device such as this could
> > relate to beat rates.
> >
> > sb
> >
> > _______________________________________________
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> 
> _______________________________________________
> pianotech list info: https://www.moypiano.com/resources/#archives
Frequency is exponential and cents are lineal.

		Newton