golden ratio. I dont get it

[theaudiophile]

Originally Posted by planet10

Those atoms can be in an infinite possible places so that there are a finite number of them makes no difference.

And i'd never use MDF for a woofer enclosure.

As far as the concept of an infinity of infinities, you'd have to see the proof to realize the reality of that. Beyond the scope of the forum. Rudy Rucker has both a text book & a science fiction (White Light) book that try to get the idea across.

Integers & Rational numbers belong to Aleph nought, irrational numbers are part of aleph 1.

dave

The notion of length becomes ambiguous at the atomic level and beyond so how would you know you had got an irrational number? And statistically it would seem that there are more real numbers than irrational ones since the latter is a subset of the former. But you tell me the opposite is true. So your statistical argument while, it may appear true may not actually be true.

[planet10]

Originally Posted by theaudiophile

The notion of length becomes ambiguous at the atomic level and beyond so how would you know you had got an irrational number?

True.

And statistically it would seem that there are more real numbers than irrational ones since the latter is a subset of the former.

I misspoke, i meant Rational numbers not Reals (Reals = Rational + Irrational). Been a long time since i actually talked about it. The number of Real numbers is the same as the number of irrational numbers.

(i'll go back & fix that, so this post and the previous become meaningless)

dave

[Andersonix]

Search for George Markowsky and his paper 'Misconceptions about the Golden Ratio.'

[Richard Ellis]

Here's another ratio "out there"....1.2599 - 1 - .7937 With the driver/s mounted on the .7937 wall.


__________________________________________________ ___Rick..........

[planet10]

Originally Posted by Richard Ellis

....1.2599 - 1 - .7937 ....

cube root of 2 and its reciprocal.

dave

[speaker dave]

Those are the cube root of 2 ratios. They give the most even modal frequencies, with the fundamentals all 1/3 Octave apart.

[system7]

Today's episode of diyaudio was brought to you by the number 1.618... and the letter "Phi"....

Cantor confindently asserted that the transcendentals were in a vast majority to the algebraic numbers and did so without exhibiting a single conrete example of a transcendental number. Mathematical Historian Eric Temple Bell said of it, "The algebraic numbers are spotted over the plane like the stars against a black sky; the dense blackness is the firmament of the transcendentals."

You guys seem to be stuck with algebraic cabinets. Anybody knocked up a "Transcendental Cabinet" yet? Can't be hard. Or do I have to do EVERYTHING round here?

[Keriwena]

Originally Posted by speaker dave

Those are the cube root of 2 ratios. They give the most even modal frequencies, with the fundamentals all 1/3 Octave apart.

AKA a major chord. That's what I call a well tuned cabinet.

[speaker dave]

Originally Posted by Keriwena

AKA a major chord. That's what I call a well tuned cabinet.

Yes, like C E G sharp. But only if you believe in that new fangled equal temperment thing.

David

[speakerdoctor]

Originally Posted by system7

Today's episode of diyaudio was brought to you by the number 1.618... and the letter "Phi"....



You guys seem to be stuck with algebraic cabinets. Anybody knocked up a "Transcendental Cabinet" yet? Can't be hard. Or do I have to do EVERYTHING round here?

Phi, the mother of all monkey coffins!