[pianotech] Do fourths beat faster?

[Jeff Deutschle]

Brian:

Apparently there have been articles written to prove that they do beat
at the same rate. But none of the posters have explained the
theoretical concept. I am working out the math for a 4 octave spread
with a fourth and a fifth in each octave for 2:1, 4:2 and 8:4 octaves
types using an iH constant of 0.1 at C3 that doubles every 8
semi-tones. This is a sample piano's iH from the well known
"Inharmonicity of Plain Wire Piano Strings" article by Robert W.
Young. I will post the results in a day or three.


On Sat, Feb 7, 2009 at 3:43 PM, Brian Wilson <pianocare2 at bigpond.com> wrote:
> I too did not take offence. I was disappointed that I could post my response
> to the debate with some actual data, but not get an explanation to say that
> I am wrong.
> I have only stated what is written in text books to back up my argument. BTW
> one was written by Reblitz and the other here in Australia by Wayne Stuart
> which was all the Yamaha books put into one. Can't find my official Yamaha
> book. If these books are incorrect, I will be having a book burning party.
> Do I "count" fourths whilst tuning. No. I use them as well as other
> intervals to achieve what I was taught and examined on.
> My understanding of achieving E T is that lets say my temperament F3 to F4
> is that the first 4th F to A# beats just under 1 beat per second and the
> last 4th beats just over 1 beat per second. I posted yesterday that we all
> just say that all 4ths are 1bps. Ron N has stated "close enough to appear
> that way" and David has stated they 4ths beat at the "same rolling beat"
> Using the same equations as I presented, to use the same intervals one
> octave higher will give me 2 beats per second (A4 D5) and then another
> octave higher is 4 beats per second.(A5 D6)( Yes theory ) Do I concentrate
> on the 4th in the 5 & 6th octaves. No I listen to octaves, to the 5th and
> temper with a good progression of 10ths and 17ths like you and probably all
> others do.
> Now back to my example temperament. If I presented a piano for (my)
> examination with the 4ths beating the same.. it will fail.. been there done
> that.. and that is only the temperament. The 4ths are "poco a poco
> accelerando" but not too much!  If the 4ths gradually increase in speed from
> my stated F3 F4, what happens after F4. Do they stay the same, decrease or
> increase, and why? Do they seem to be the same speed?
>
> If there is disagreement with my explanation of the temperament, please
> explain why and I will gladly harass those lecturers and technicians who
> have given me such a hard time over the years. I will fire up the BBQ and
> get some beer out of the fridge and have that book burning party.
> Brian


-- 
Regards,
Jeff Deutschle

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