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From: Jerry Avins on 28 Jul 2010 11:52
On 7/28/2010 12:26 AM, Cirrus wrote:
> ..with a yellow fin, maybe.
>
> Even though I'm likely wasting time, I'll post a little more of what else
> I've tried since my first post...
>
> I tried examining the phase of each peak in the spectrum when letting one
> string ring out. I was hoping there was some form of relationship amongst
> the phase of the fundamental and that of each harmonic in order to try to
> determine whether or not the peak is coming from an overtone or not. There
> doesn't seem to be any consistent relationship. However, in the samples
> I've recorded so far there does seem to be some form of a relationship
> amongst the intensity of the frequency peaks for the fundamental and the
> ensuing overtones. I suspect that this will greatly change depending on
> the type of strings used and how new/old they are, so I'm not sure how
> deterministic and useful this observation really is.

Strictly, it is meaningless to compare the phases of things at different
frequencies. Sometimes it is possible to apply meaning in a particular,
specialized way, but that requires careful elucidation of exactly what
is meant.

How can a sine and its second harmonic be in phase? There are instants
when one is at a peak while the other crosses zero. "For the purposes of
this discussion, a fundamental and its harmonics are said to be in phase
if the harmonics make positive-going zero crossings when the fundamental
does." OK: so what?

Jerry
--
Engineering is the art of making what you want from things you can get.
�����������������������������������������������������������������������
From: Jerry Avins on 28 Jul 2010 12:10
On 7/28/2010 1:06 AM, kevin wrote:

...
> As for your mentioned tuner, +/- .5% is not very impressive (although
> the specs on their web page say 'cent' instead of 'per cent', so maybe
> they mean something else).

...

A cent is 1/100th of a semitone. An increase of one cent is
approximately a multiplication of 1.0058. Five cents amount to 1.029, or
nearly 3%. http://en.wikipedia.org/wiki/Cent_(music)

Jerry
--
Engineering is the art of making what you want from things you can get.
�����������������������������������������������������������������������
From: kevin on 28 Jul 2010 15:51
On Jul 28, 12:10 pm, Jerry Avins <j...(a)ieee.org> wrote:
> On 7/28/2010 1:06 AM, kevin wrote:
>
>    ...
>
> > As for your mentioned tuner, +/- .5% is not very impressive (although
> > the specs on their web page say 'cent' instead of 'per cent', so maybe
> > they mean something else).
>
>    ...
>
> A cent is 1/100th of a semitone. An increase of one cent is
> approximately a multiplication of 1.0058. Five cents amount to 1.029, or
> nearly 3%.  http://en.wikipedia.org/wiki/Cent_(music)
>
> Jerry
> --
> Engineering is the art of making what you want from things you can get.
> ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯



Aha! Thanks, Jerry - I wondered if their spec meant something
different.

http://en.wikipedia.org/wiki/Cent_(music)


Kevin McGee
From: robert bristow-johnson on 28 Jul 2010 16:36
On Jul 28, 3:51 pm, kevin <kevinjmc...(a)netscape.net> wrote:
> On Jul 28, 12:10 pm, Jerry Avins <j...(a)ieee.org> wrote:
>
>
>
> > On 7/28/2010 1:06 AM, kevin wrote:
>
> >    ...
>
> > > As for your mentioned tuner, +/- .5% is not very impressive (although
> > > the specs on their web page say 'cent' instead of 'per cent', so maybe
> > > they mean something else).
>
> >    ...
>
> > A cent is 1/100th of a semitone. An increase of one cent is
> > approximately a multiplication of 1.0058.

Jerry, i think that's closer to 10 cents. we know that 100 cents or
one semitone is

2^(1/12) = 1.05946309435930

1 tenth of that (10 cents) would slip in another zero

2^(1/120) = 1.00579294106785

and 1 cent would be

2^(1/1200) = 1.00057778950655

> > Five cents amount to 1.029, or nearly 3%.

that's half a buck! not no mere nickle.

....
>
> Aha!  Thanks, Jerry - I wondered if their spec meant something
> different.
>

????

r b-j
From: Jerry Avins on 28 Jul 2010 16:42
On 7/28/2010 4:36 PM, robert bristow-johnson wrote:
> On Jul 28, 3:51 pm, kevin<kevinjmc...(a)netscape.net> wrote:
>> On Jul 28, 12:10 pm, Jerry Avins<j...(a)ieee.org> wrote:
>>
>>
>>
>>> On 7/28/2010 1:06 AM, kevin wrote:
>>
>>> ...
>>
>>>> As for your mentioned tuner, +/- .5% is not very impressive (although
>>>> the specs on their web page say 'cent' instead of 'per cent', so maybe
>>>> they mean something else).
>>
>>> ...
>>
>>> A cent is 1/100th of a semitone. An increase of one cent is
>>> approximately a multiplication of 1.0058.
>
> Jerry, i think that's closer to 10 cents. we know that 100 cents or
> one semitone is
>
> 2^(1/12) = 1.05946309435930
>
> 1 tenth of that (10 cents) would slip in another zero
>
> 2^(1/120) = 1.00579294106785
>
> and 1 cent would be
>
> 2^(1/1200) = 1.00057778950655
>
>>> Five cents amount to 1.029, or nearly 3%.
>
> that's half a buck! not no mere nickle.

Never mind morning coffee, I skipped lunch today. Arrgh! Never calculate
on an empty stomach!

Jerry
--
Engineering is the art of making what you want from things you can get.
�����������������������������������������������������������������������
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