the sacred temperament

> In 1916 Einstein published his general theory of relativity. In it he
> proposed that gravity is not a force but a curved field in the space-time
> continuum that is created by the presence of mass. People were astonished by the fact
> that space and time are under relativity. Even though, the world could stay
> ease within the determinism where there was a general algorithmic procedure
> for resolving all mathematical questions.
> But since Heisenberg's discovery, Isaac Newton's laws of motion has not been
> used to predict accurately the behavior of single subatomic particles. The
> world was then suffered from this uncertainty. Godel gave an additional blow
> to the people's mental world with the incompleteness.
>
> Relativity, Uncertainty and Incompleteness!
> Wow! We are free from the determinism!
>
> >> Roger Penrose, Professor of Mathematics at Oxford University and a
>> physicist, now happily says, "We cannot create any kind of new artistic
>> sensitivity however we may accumulate many times of calculations. Art is a
>> non-computable physics."
>> I would like to say, "Music is a non-computable physics, too".

> But over the centuries musicians, mathematicians, theorists, thinkers,
> experts and amateurs have been suffered from the comma which is the difference
> between a perfectly tuned octave and the octave resulting from a tuned circle
> of fifths. Many great people have been trying to create the perfect scale in
> vain. Mathematics easily proves that perfection is not possible. Any solution
> does not exist. Musicians, especially pianists, have been accused of using
> the Equal Temperament for thier pianos because the Equal Temperament is said to
> be an anti-musical compromise which leaves each key equally damaged and none
> perfectly in tune.
>
> This comma has put a curse on music.
>
http://www.geocities.jp/imyfujita/wtcuncertain.html

On 3/1/07, Mocfujita@aol.com <Mocfujita@aol.com> wrote:
> But since Heisenberg's discovery, Isaac Newton's laws of motion has not been used to predict accurately the behavior of single subatomic particles. The world was then suffered from this uncertainty. Godel gave an additional blow to the people's mental world with the incompleteness.

Um, how exactly has the world "suffered" from the Heisenberg
uncertainty principle?

And how did Gödel give anyone a "blow"? Getting upset over a
mathematical theorem is even more ridiculous than getting upset over a
physical law. If you have a dollar, and someone gives you a dollar,
you don't think "man, I wish 1 + 1 were 3, then I'd have 3 dollars".
It doesn't make sense to fret about things that cannot possibly be
changed.

> But over the centuries musicians, mathematicians, theorists, thinkers, experts and amateurs have been suffered from the comma which is the difference between a perfectly tuned octave and the octave resulting from a tuned circle of fifths.

First of all, what exactly does this have to do with quantum mechanics
and Gödel's incompleteness theorems? The concepts seem unrelated to
me.

Second of all, the syntonic comma (81/80) is undoubtedly more
important than the Pythagorean comma.

Finally, the subject line of your post, "the sacred temperament", led
me believe you actually had a concrete temperament to present. What is
"the sacred temperament"? How do I tune my synthesizer to it?

Keenan

No problem just LucyTune your instruments, and you can forget about all integer irrationalities;-)

Charles Lucy lucy@lucytune.com

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