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 Please address replies to the List. Do not E-mail me privately. Thank You.
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