golden ratio. I dont get it - Page 4 - diyAudio
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Old 5th December 2012, 01:16 AM   #31
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Originally Posted by planet10 View Post
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.
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Old 5th December 2012, 01:23 AM   #32
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Originally Posted by theaudiophile View Post
The notion of length becomes ambiguous at the atomic level and beyond so how would you know you had got an irrational number?
True.

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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
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Old 5th December 2012, 02:25 AM   #33
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Search for George Markowsky and his paper 'Misconceptions about the Golden Ratio.'
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Old 5th December 2012, 02:36 AM   #34
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Here's another ratio "out there"....1.2599 - 1 - .7937 With the driver/s mounted on the .7937 wall.


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Old 5th December 2012, 02:59 AM   #35
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....1.2599 - 1 - .7937 ....
cube root of 2 and its reciprocal.

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Old 5th December 2012, 03:04 AM   #36
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Those are the cube root of 2 ratios. They give the most even modal frequencies, with the fundamentals all 1/3 Octave apart.
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Old 5th December 2012, 06:30 AM   #37
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Today's episode of diyaudio was brought to you by the number 1.618... and the letter "Phi"....

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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?
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Old 5th December 2012, 08:54 AM   #38
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Originally Posted by speaker dave View Post
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.
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Old 5th December 2012, 11:18 AM   #39
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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
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Old 5th December 2012, 12:34 PM   #40
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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!
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