Jon Murphy wrote:
> Rainer,
>
>
>>>PS: If anyone asks you "why temperament ?", the shortest answer is "2 to
>
> the N th power = 3 to M th power has no >>non-trivial solutions for integer
> N and M" If nothing else that should leave the questioner in stunned silence
> while >>you make your escap
Thanks Bob,
it's the same in Italian, I thought I had written "cents".
As for the 5 cents discrimination, I remember I played duets (guitar) with
a flutist, and we realized some notes were not in tune, so we checked with
the tuning-box and the difference was less than 5 cents, but still audible.
Nicely done Stewart,
A well expressed analysis of a complex topic.
> Tuning-boxes can be a great help, as long as we keep using our ears,
> since they are a constant check on the accuracy of our tuning. They
> will be less help in the long run, if we don't listen, and rely on
> them to do all th
Rainer,
> > PS: If anyone asks you "why temperament ?", the shortest answer is "2 to
the N th power = 3 to M th power has no >>non-trivial solutions for integer
N and M" If nothing else that should leave the questioner in stunned silence
while >>you make your escape. :-)
>
> Even a mathematical id
Bob, and all,
> A cent is 1/1200 of an octave (100 cents = 1 equal tempered semione). Most
books on musical acoustics
> quote a threshold of 4 cents for human pitch discrimination. I don't
remember what the basis is or whether anyone
> has tested to see if those who claim they can do better really
Dear Stewart,
Just a short note to say that I found your explanation absolutely superb. I
wonder if John Cage took account of all this in 4' 33" and decided that silence
was the best way of avoiding the problem. Kindest regards
Tom Beck
--
BobClair or EkkoJennings wrote:
>
> PS: If anyone asks you "why temperament ?", the shortest answer is "2 to the N th
> power = 3 to M th power has no non-trivial solutions for integer N and M" If nothing
> else that should leave the questioner in stunned silence while you make your escape.
>
> PS: If anyone asks you "why temperament ?", the shortest answer is
"2 to the N th power = 3 to M th power has no non-trivial solutions
for integer N and M" If nothing else that should leave the
questioner in stunned silence while you make your escape. :-)
Dear Bob,
I know you're joking, but I'
>My guitar teacher, Aldo Minella, has an absolute ear , and I remember he was
>suffering when he heard something not in tune, and by this I mean less than
>5 commas difference ( books say human ear can't tell the difference below
>5 commas, but I also met other musicians who could tell it , and I
