the speed of light and the 1/4wave speaker

taxicab number..? I never saw these things.

wow..

1728,1729,1730,1731,1732

Sq root of 299792457759
Not quite ‘3’ … 3 then Stems from 3^6, 27^3,(729)

as everything stems from the ‘3’ and ‘30’ as in the speed of light.and 15 on center as 30 total(one second) and ????All of this is based on earths orbit or 96 to one (Saturn) …4 less than 100


680.31496062992…
340.15748031496…
170.07874015748….
85.0393700787..
42.51968503937..

the ‘7’ on 3937 is ‘6’ as 503937(6) and thats the 0.064 vs 0.0629921259168425-96850393(6)..…not seen in the decimals typically And ignored.

This becomes the root problem ultimately.

but its ‘not quite’ 4’.(3.8 cm of drift and 384000kms away(moon) and total eclipse of sun

1 cm is one circle. Its a drop of water on earth, and its a sphere at the ISStation ‘floating’ .

its almost summer now, for me(N america) But David (McBean) is in winter nearly in Aus.

12/24/36/48.
Winter spring summer fall
43200/86400/129600/172800
Winter is like odd sequence out of phase that repeats
0/180/270/360

0/1440/2880/4320/5760

0/1461/2922/4383/5844

.3937(1/2.54)
.3937(1/2.54)
101.6/40
4-3.93007874015748….
=(0062992125984251968…)

1.609344 km, 1 mile

1.618:1
0.618
 

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Why is this? If You start amd stop at ‘big bang’ numbers. (But those are also reflections/mirror, speong stretch to plastic defornarion slightly, then let’s go back into tension we’re slowly getting work hardened and loosing its rate slightly dealing and expansion rate just like the universe inconsistently is doing recently?) or bounces) but it’s also describe because it is barely less than one (in all numerical forms of pi .(pi,22/7,8/2.54).

Start:
0.6912..13834 as:
0.6875(0.98…
1.375(1.96…
2.75(0392857
5.5,(078757
11(1.57142)
22(3.142857
44(360*),(144hz(60cm)
—>6.2857142
88(720*)(288;(30cm)
—>12.57142
176(1440*)576)(15cm)
—>25.142857
352(2880*)1152)(7.5cm)
704,(5760*)2304(3.75cm
2816(11520*(4608(1.875cm)
5632(23400*) (9216)5632hz(0.9375cm

11264(46800*) 11264hz(0.46875)
(1/4 from the sun in miles)

—>11264/7 is 1609.42857
You got a swing a pendulum to see… this as 512pi.

use the swing of the pendulum as the speed of light divided by six is 30° or 05236 (twice the 2.618 of The golden ratio) which is probably why we have ‘radians’ as 0.5238095238..0.261904761…

And 0.349206349 in any driver entry in any TL ??? Get that become 0523809 in a compound( or higher order

it’s the same process of working through the golden ratio that works in 864, 1.864? 2.864?

1/864 is 1574074074074..

186624 (miles) is (432)^2 (3.00342214656mters)

/3 is 1.00114071552/0.998860584

Total 2.00000000129974925342338…mean/ 1.000000064987462671169

thats 1.0000000(64.9)…(16.9… (8.

just like 0.3937007874015748031496062992125984251..

4,8,16,32,64,128,256,512,1024.

4-0064(3936)
8-0128(7874)
16- 0256(15748)
32-0512(31496)
64-1024(62992)
X128x
256
512
x1024x
2048
4096
X8192x

you just have to look at the Pythagoras and theorem for the 864 /1728 (1496.4918/1500)) element of half speed of light in the pyramid shape . an isosceles triangle is the sides all of 1728 or split in half just like in the sides of the pyramid which are split in half as you can only see in the shadow







0.618, 1.618, 2.618..


0.9375,
0.1875,.375,.75,1.5,3,
6,12,24,48,96,
192,384,768,1536,3072
6144,1228,24576,49152
98304

it all of by ‘4’.

(or 0.25)

this is just as simple as 1 hydrogen, 2,3, 4(helium) but the only ones that really exist are the monatomic /diaromic hydrogens and the helium isotppe(fusion). The number three doesn’t really do very well? It’s an odd number issue just like cloded end pipe resonances, It’s an odd number issuethst drips outtaphase in thst sequence?

13.5
27
54
108
216
432
864
1728
3456
6912
13824…

but that missed these:

81
162
324
648
1296
2592
5184
10368
20736
All of wgich are canceled out (as 344.0 vs 345.6 versions, in Horn Response) change the speed of sound by 1.6(and you get a 4 hz shift at 860/864…)

1609.344. Metr to mile 1/x as 0.62137 (16, 0.625)

39.37” per meter.. 1/2.54 (4/0.250)
 

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You clearly have some talent for this Mathematical lark! But don't take it too seriously. It will drive you crazy!

‘The algebraic numbers are spotted over the plane like stars against a black sky; the dense
blackness is the firmament of the transcendentals.’ (Bell)

https://en.wikipedia.org/wiki/Gelfond–Schneider_theorem

A useful online resource for the latest thinking is https://www.quantamagazine.org/mathematics/

Your local Library may stock many of Ian Stewart's Mathematical books:

https://en.wikipedia.org/wiki/Ian_Stewart_(mathematician)

Best Maths Book I ever read was by Felix Klein:

"Elementary Mathematics from an advanced Standpoint."

Considered a classic. You probably will need to sneak into a University Library to read it.
 
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You clearly have some talent for this Mathematical lark! But don't take it too seriously. It will drive you crazy!



https://en.wikipedia.org/wiki/Gelfond–Schneider_theorem

A useful online resource for the latest thinking is https://www.quantamagazine.org/mathematics/

this rabbit hole comes with a light though😂😂 All the numbers are already in the subwoofer when it’s perfectly aligned and quarter wave functioall the numbers are already in the subwoofer when it’s perfectly aligned using 1/4 wave layouts @ both sidesof the driver, or the ODTL version.

0.0625/2.54 as 13824hz
1/2.54 as 864hz
8/2.54 as 108hz

and 0.5236/0.5238. Pi/6.
and 0.349/0.349206349pi/9.

these show up in sound but only if 8/2.54 is ‘pi’ and thus 345.6 m/sec as 1133.85826, 773.085

when 92.956hz is 92.956 cm.
Watching astronomical unit by definition in miles, which is The speed of light at 499.seconds….

and one second is equal to 30° At 100cm(39.3700787401574803149606229..”
173.144632 is AU/day(14960000km/ 86400sec) It’s on the Pythagorean theorem..the entire universe

(1728)^2 - (864)^2 is 1496.49

1728^2 is 2985984(Kilometers speed of light
864^2 is 746495(Kilometers 1/4 wave function of SOL) ie radius
432^2 is 186624(speed of light in miles because the ratio of kilometer to a mile is 1.609344 what is the equivalent of 512 pi.
Well the edge to meter equivalent is 1/8pi.

That quantamagazine Kept me up all night Reading articles😃💚 Thank you for all of your help

I got things lined up all the way down to 432 hz now in horn response. Now if I could just get the amplifier filter to go away so I can measure that…
 
Here's a Mathematical Question which has frequently defeated many minds at this Forum:

What is the sum of 0^0 ?
0^0 = k
It can be expressed with lim function, lim(x) where x->0
E.g: log(z^z) = log(k) where z->0
log(z^z) = z × log(z)
Some intermediate values:
z = 0.1 ----- z × log(z) = 0.1 × log(0.1) = -0.1
z = 0.01 ----- z × log(z) = 0.01 × log(0.01) = -0.02
z = 0.001 ----- z × log(z) = 0.001 × log(0.001) = -0.003
z = 0.0001 ----- z × log(z) = 0.0001 × log(0.0001) = -0.0004
....
z -> 0 ------ log(k) -> 0
log(1) = 0
k = 1
0^0 = 1

Excuse for the mathematical sloppiness.
 
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Don't apologise. 1 is the right answer! 🙂

Here's another Mathematical puzzle:


Liberty Valance has calculated he outnumbers Tom Donophan 3-1, so fancies his chances.

What is brought to his attention is that Pompey is stood at the Kitchen Door with a repeating Rifle. Thus lowering his odds!

He backs off. 😀
 
I imagine if horn response used 345.6 m/sec Or was adjustable to compare/contrast many things in life would be a lot easier to understand

you’re still chasing things that don’t even exist or serve very little purpose. Start playing with the speed of light the speed of sound and ‘pi’ and find other alternatives as/ to solutions?

The situation in the world today is not that different everyone has been lied to. It wouldn’t hurt to look at something unconventional to find alternatives. This is very deep into the structure of everything
 
I am very much a hobbyist with loudspeakers:

https://www.diyaudio.com/community/threads/restoring-monitor-audio-r300-bookshelf-speakers.203461/

It's just a bit of fun to apply some Mathematics to them. And I can be a bit rough and ready with the precise details. Hopefully I know enough about LR2, BW3 and LR4 to get by. Amplitude, Phase, Group Delay, Dispersion, Box Loading and all that.

Have been known to wander off into deeply theoretical stuff, but it never goes down all that well:

https://www.diyaudio.com/community/threads/flat-impedance-and-flat-power-response-design.302001/

My current interest is more abstract Physics. Quantum Gravity. A really difficult subject, but interesting to me.

https://www.amazon.co.uk/Reality-Not-What-Seems-Journey/dp/0241257964

My sound system works well enough that I have called enough on further changes.

Another hobbyist is my good friend, Michael Chua:

https://ampslab.com/blog/projects/

He's still beavering away at it. A fanatic. Full of ideas!
 
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You can see all these things that you’re speaking about in the ideas around one element in the loudspeaker.?

If you don’t chase all these things at once (ie:and electrical and mechanical etc. etc. ..

only concentrate on acoustical…shapes

As in the shapes.

Then it starts to reveal itself.

meanwhile, you don’t care if it’s a good speaker or a bad speaker you just want answers that’s all that matters.


choose subwoofer because it’s a long and plentiful area of real estate to play with and discover(?) especially using both sides of the cone or clocking them.


again whatever you get is what you get you don’t care about making this beautiful perfect speaker or crossover parts.. all of this stuff comes after the fact.. or you don’t understand anything because you skip rightover Whatever it was revealing(these would be the numbers I’m talking about )

But only with that attitude in that type of investigation is there going to be anything to compare and contrast or understand everything else is a blur full of multiple things ruining whatever the results are that would’ve had huge meaningful numerical references to very important things from the start.

This is why no one understands anything. There are nobody investigating things there are nobody looking for things there are no lab rats because there are only people trying to make this copycat version of what someone else did that turned out perfect already supposedly…

unfortunately that gets us nowhere it seems?

Because there’s something in all of this that got missed calls this very same reason I suppose? I have no idea but I have just under 24 months in every building a speaker in my life.

Ignorance helps and not wanting to deal with crossovers yet does as well. Forced to come up with better solutions acoustically and using shapes which might be more fun and exciting until frustrating of course.

but that’s where it’s at that’s the only way to understand any of this it’s not mess with it in multiple ways or you get no connections to anything that is an answer to anything whatsoever it’s all a blur?

there’s more to it but I don’t know where to begin I’m still searching there are things that happen exactly the opposite as they are described by horn response after a certain point it seems. But that exact opposite is defining something as well it would seem?
 
I think I have established where this progression is going! x2/1, x3/2, x4/3, x5/4 etc.

864
1728 ( = 2^6 x 3^3)
2592
3456
4320
5184
6048
6912
7776
8640
9504
10368
11232
12096
12960 ( = 2^5 x 3^4 x 5)
13824
14688
155….

??

But what is the Question? 😀
 
On further slog I think I may have picked up something Mathematically interesting!

I think I have established where this progression is going! x2/1, x3/2, x4/3, x5/4 etc.

864 ( = 2^5 x 3^3)
1728 ( = 2^6 x 3^3)
2592 ( = 2^5 x 3^4)
3456 ( = 2^7 x 3^3)
4320 ( = 2^5 x 3^3 x5)
5184 (= 2^6 x 3 ^4)
6048 (= 2^5 x 3^3 x7)
6912
7776
8640
9504
10368
11232
12096
12960 ( = 2^5 x 3^4 x 5)
13824
14688
155….

??

Anybody want to fill in the gaps? This could be either quite Exciting or a Busted Flush. 😀
 
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13.5-13824 hz

it’s just picking a start anywhere you want what is separated by an interval that represents the big bang and it will do that over and over again I need a direction however


1Meter 2.54is 39.37 inches it’s also 864 Hz at 345.6 m/sec.

That’s also 2.75/7 or 22.5 degrees. 0.39285142..in rads

Can you prevalent of a mile and a meter is 1609.142 in rads..

The spread between those and the error Exposed by them is the same thing that was removed from centimeters by rounding it up in 1954.

1728 and 864

0.5 and 1 cm

If radius is one Or rad is .5, Then something very important happens in the volume of this for your Quetion andthen something very important happens in multiple dimensions in multiple units of measure including time and a pendulum swing at the equator. The volume of a sphere

Raiders versus diameter versus multiple dimensions of measuring the circle or a square or hexagon sitting on a circle and sharing the same circumference.

These ratios in these numbers are incredibly important. It appears.

But they’re all based on the speed of light
 

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Earth diameter is 1/2 cm. (0.127) (1274, but that last for is a key element in all of it).

1728hz is 0.5 cm

One centimeter
is 864
2 cm is 432

4 centimeters is 216
8 cm is 108 hz


None of that is true unless byNone of that is true unless 8÷254 is pi.

pi x360 is The speed of sound. In that case.

and that’s in feet per second
 
I have to do all the work round here!

https://en.wikipedia.org/wiki/Riemann_hypothesis

864 ( = 2^5 x 3^3)
1728 ( = 2^6 x 3^3)
2592 ( = 2^5 x 3^4)
3456 ( = 2^7 x 3^3)
4320 ( = 2^5 x 3^3 x5)
5184 (= 2^6 x 3 ^4)
6048 (= 2^5 x 3^3 x7)
6912 (= 2^8 x 3^3)
7776 (=2^5 x 3^5)
8640 (= 2^6 x 3^3 x5)
9504 (= 2^5 x 3^3 x11)
10368 (= 2^7 x 3^4)
11232 (=2^5 x 3^3 x 13)
12096 (= 2^6 x 3^3 x 7)
12960 (= 2^5 x 3^4 x 5)
13824 (=2^9 x 3^3)
14688 (=2^5 x 3^3 x 17)
155….

Hope that clears it up. 🙂