golden ratio. I dont get it
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theaudiophile
Banned

Join Date: May 2012
Quote:
 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
frugal-phile(tm)
diyAudio Moderator

Join Date: Oct 2001
Location: Victoria, BC, NA, Sol III
Quote:
 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.

Quote:
 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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 5th December 2012, 03:25 AM #33 Andersonix   diyAudio Member     Join Date: Jan 2004 Location: Marin County, California Search for George Markowsky and his paper 'Misconceptions about the Golden Ratio.'
 5th December 2012, 03:36 AM #34 Richard Ellis   diyAudio Member     Join Date: Sep 2006 Location: Mar del Plata, a BIG seasonal getaway city, can see the Ocean from our residence. Here's another ratio "out there"....1.2599 - 1 - .7937 With the driver/s mounted on the .7937 wall. __________________________________________________ ___Rick..........
planet10
frugal-phile(tm)
diyAudio Moderator

Join Date: Oct 2001
Location: Victoria, BC, NA, Sol III
Quote:
 Originally Posted by Richard Ellis ....1.2599 - 1 - .7937 ....
cube root of 2 and its reciprocal.

dave
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 5th December 2012, 04:04 AM #36 speaker dave   diyAudio Member     Join Date: Nov 2009 Location: The Mountain, Framingham Those are the cube root of 2 ratios. They give the most even modal frequencies, with the fundamentals all 1/3 Octave apart.
system7
diyAudio Member

Join Date: Aug 2008
Location: Portsmouth UK

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

Quote:
 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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Best Regards from Steve in Portsmouth, UK.

Keriwena
diyAudio Member

Join Date: Feb 2010
Location: in half space
Quote:
 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
diyAudio Member

Join Date: Nov 2009
Location: The Mountain, Framingham
Quote:
 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
R.I.P.

Join Date: Sep 2006
Location: New England
Quote:
 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!
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