Guys, I did the math on quarter wave

As you can see, at t=0s the speaker is at max extension with pressure max outside the cabinet. Inside the cabinet we have pressure min. At t=0.007s the wave has traveled a quarter wavelength and the pressure is zero inside the cabinet. Also, at t=0.007s the speaker has returned to zero extension with pressure zero. If the pressure wave is released from the enclosure at this time, it synchronises with the pressure wave emanating from the speaker, and doubles the amplitude at 34Hz...Sweet! 😱

If we wait until the wave has travelled half a wavelength, the pressure inside the enclosure would be max and this would sync with min pressure emanating from the speaker, cancelling the pressure wave.

Did I miss anything? Can I build now?:c_flag:
 

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Try moving the driver down to the pressure node (at zero) for the (3/4 harmonic version of the 1/4 used as tuning length and see what happens then. there’s the bonus. It’s not only in sync as you’ve described what is the sink with a pressure bounce in the distance from the veneer wall to the driver again and all the way to the next fall or the end whatever you choose whatever frequency you’re referring to as the quarter wave this will be the 3/4 wave node in pressure.
 
Compound pipe from both sides of the driver with an exit at the bottom middle(270) Folds at 90, 180,270. Driver entry at 30 from each end (30 from zero and 330 from 360 . Everything completely in sync. And With a 30 cm exit added to that it Finishes the job
 

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Did I miss anything?

In theory, no: Resonances of open air columns


But there's real world considerations such as terminus end correction that shortens the pipe by 0.613*r in free air, so more as the boundary reflections are included. This in turn shifts the pulse some, so 0.25*l = 0.21*l, 0.33 = 0.349, etc..

Of course in the scheme of things this sort of accuracy isn't a big deal unless quite large and/or need to hit a specific F such as when using a high output impedance source where exact Fs is required for max LF performance.

For smoothest response, the driver, vent [if used should be at an odd harmonic.

Then there's the pipe's added acoustic length due to stuffing density that at least with the fiberglass densities I used to smooth out just the audible 'ripple' it varied from ~ 0.71-0.81*l, i.e. had a 'toe tappin' live event sound as one 'reviewer' opined at a DIY Meet decades ago.

Never measured any, though simmed shows them to be not nearly smooth enough for the various forum's cognoscenti, so YMMV/FWIW.
 
In theory, no: Resonances of open air columns


But there's real world considerations such as terminus end correction that shortens the pipe by 0.613*r in free air, so more as the boundary reflections are included. This in turn shifts the pulse some, so 0.25*l = 0.21*l, 0.33 = 0.349, etc..

Of course in the scheme of things this sort of accuracy isn't a big deal unless quite large and/or need to hit a specific F such as when using a high output impedance source where exact Fs is required for max LF performance.

For smoothest response, the driver, vent [if used should be at an odd harmonic.

Then there's the pipe's added acoustic length due to stuffing density that at least with the fiberglass densities I used to smooth out just the audible 'ripple' it varied from ~ 0.71-0.81*l, i.e. had a 'toe tappin' live event sound as one 'reviewer' opined at a DIY Meet decades ago.

Never measured any, though simmed shows them to be not nearly smooth enough for the various forum's cognoscenti, so YMMV/FWIW.

I got a learn how to explain it like that.. !! So good! Know if you could take this below and digested and possibly put it in your Rolodex of ideas and check it out because this is a gold mine as soon as you see it or a soon as you understand what I’m trying to convey which ever comes first😀

There’s this weird anomaly in all of this Where the odd harmonic location on a pipe as long as the speed of light is in centimeters (299.792458cm x.349) = 104.76cm which is 60 degrees (or specifically 59.9584,916*) which then leaves 195.24cm remaining which if placing the driver at a Fold precisely on the 104.76 cm mark well then require a driver mount on a baffle tilted at that same angle so that the actual length of the path and the remainder after the driver will suit the numbers perfectly.

An odd coincidence ? So I thought until I realized that’s exactly where it has to do verbatim and I even tested it on an actual TL. Subsequently that became the math that I would use on a quarter of a price to do all the layout except the numbers change from what they’re describing as centimeters to the same thing in radians? Which means 90° would be 11÷7 or 1.57142857 and therefore 60 3015 and 7.5 I’ll have a funny number like that as do all of the numbers around the circle but using the pie is 22÷7 and the circumference of the circle to base your closure on that funny coincidence is no longer a funny coincidence because the numbers that are on that and what they do explain the higher order functions.

If you don’t use the 22÷7 you can never divide up a circle and include leap year and it in numbers that add up to 30° which is the speed of light at an angle in one second instead of 1000 seconds is how many seconds it takes to travel to earth and back (or twice the distance to earth. ) . 30 cm is the offset driver position for the compound version of a TL.

So now were using that same weird numbers associated with the speed of light but it’s 12 parts on the circle of 360° and you have to use that thinking as either 44÷7 or 6.2857142 .. and so on so every 30° on the circle has one of those numbers 240 is very very strange that represents 4.1888 and that is the equation for the volume of a sphere v=4/3 pi r^3 if r =1 , v = 4.188…

Also the golden ratio is repeated on the circle in this manner to 15 at 1:50 and effectively and everything but the official number is both at 15 and at 150° , 0.2618 and 2.618. Which is half the speed of light. None of this makes since he’s just numbers but why does it keep coming up with the chunks of the speed of light and then I found this: 11 mm is 0.433”, 22 mm is0.866” 33, 44, /7 are all the parts of a circle and if you’re including the frequencies of all the things going on in the box that are harmonics and only folding at 90° parts which is also 90 cm you end up with this pipe playing on those are harmonics or whatever is going on here that then has the frequency 860 or 8600 which like no other simulation in any other manner has a -990 DB at that frequency and every single frequency there after from 860 at that interval of 860 all the way out past 19780 hz and the same is it 20,000 you will see plenty more.


No the rest of the same holds the details and frequencies that are either peaks or Or complete drop out at the harmonica novels and those numbers than to find a pattern as well there’s an intermediate pattern in at 8601 and it switches from 48,96 and 192 Hz in between their peak Valley peak valley

So I’m searching for how this is all oddly sushi with the speed of light and then I realize the frequencies in the past band and all around our repeating the exact numbers were planets are located in our solar system and not just the planets but the positions of key elements on a Compass or a Clock or degrees or seconds in a day or minute specific to a planet location exactly as well it was frequencies are on this exactly the same way??

So that got me really wondering what the heck is going on and what does have to do with our harmonics or what odd harmonic is specifically, Besides the fact that we have the two sides of the speakers that are conflicting at the location they begin at stretch that out but inevitably as always just 3/4 of the 1/4 frequency for those two will cancel except when we engage the parallax angle of the speed of light.???? If you take that angle can you use to measure anything in the universe with it it all has the same exact reference point so whatever the math really is in speakers or sound or all the stuff where we find these funny things we can work with in transmission lines and nothing else they have some kind of benefit or some kind of gain?? Those are the speed of light and its affect everything except we get a witness it here in sound?? Normally this is like a cliché or a funny saying about how light controls everything and everything is because of the suns energy well here we are observing and we can build the thing and listen and it’s exactly the same those numbers have to be exactly like that or they do not ever work and everything is junk unless you do it precisely.

Obviously that’s easy to note that audibly a person would not tend to know any different except this is a different one hundred percent different and so whatever happens in here is representing what happens in the solar system but not only that those two numbers 432 and 866 which are 90° and one and 180° those are alsoThe radius and diameter of the sun and the sun is perfect it is only out by about a handful of kilometers polar versus equatorCircumference .

So for whatever reason the MathWorks out to pick up these odd harmonics their positions that is the functional part of the speed of light it’s 0349 in the standard pour pipe to his total length but in the other versions of it it’s located at the same spot but use the spread that out into two so the number becomes 05236 or 30° and also on the opposite side at 330° it’s located what is that amount subtracted from 6.2857142 360 So the separation between the two drivers is 300° total that too is now a logarithmic scale increase on the speed of light the angle whatever it is that keeps repeating here and we need nickel and dime us thing to death and you search through it you realize what 860 is and why it’s Wiped out if this one unique freaky the area of acoustics or quarter wave?? 860 Hz in only this matter is completely void it over and over again but also that is the harmonic of this length we’re working with it’s so math points out the speed of light in a quarter wave function to which does other frequencies there avoid represented in the out of band results tell the story of what’s going on in the band with exactly andThat is so unique that hopefully somebody understands what I’m saying and look at this because there’s much more to the story than I can type however it would be really nice if this kind of thing was more well known or looked at because if you use those numbers in anything whatsoever they are vastly improved attached pipe I can’t Pompeii and also driver quarter of a pipe all of these things have an exact pattern that must be adhered to order for them to work optimally and it’s all based on the speed of light and close the folding locations in notes or anything else no nowhere nowhere else that’s in the math to this and it’s hidden in the circle math., There’s so much more to this than we’ve ever even considered and I really can’t explain it all alone gobs and gobs of notes and numbers and plug it into the Sims and it’s working and everything I use it on and hopefully that makes quarter way fun again and more people get involved in it because it was getting kind of stale and kind of dying out little bit there but I think it needs to make a come back before all stuck with a little stupid box in a DSP and everybody’s making drivers they don’t work in anything but that we don’t get to do anything fun because the numbers in this phone number is that everyone should know because they’re how the universe works because for Then you can prove that all to yourself by looking at this you will find every single number every single math constant every single version of gravity of escape velocity all the details of every planet earth referenced in this same and show up as a landmark and I think it’s because (432) ^2 is 186624. That’s the speed of light again however again it has changed units or its description and that’s what’s going on here and why nobody understands these things they just kind of know the numbers there’s a heck of a lot more going on here and it’s all got to do with orbital resonance locations, not a coincidence that they are exactly the same in this oh this is describing a perfect circle.


But it also shows up an offset driver TL precisely on point it’s just described differently. Strange..



The GM can you give us a looksee sure you could word it way better than me and put your own input in it and make more sense out of it all I’m doing is stopping in Sam’s building cabinets and spreading it all over the tire area of Facebook groups where people are starting to use these numbers and fixing all kinds of junk and other cabinets that they previously had any rhyme or reason to wait what numbers they were putting Numbers and for what reason it was him well if your reason is because it mimics the exact locations in math concepts in physics it’s a lot more than random folding and just make it a long snake call the transmission line that doesn’t do much of anything whatsoever but boy is it entirely different if you follow a pattern and the numbers that lead to whatever this is every single planet cannot be wrong ? Details of that are nearly endless List of frequencies and what they are and what they correspond to you and other math is not that crazy everything makes sense because everything is connected to this and it even starts to explain anything in physics.
 
The first is a part of pipe has got to be the 104.76 and the remainder is 195.2 for what is those last two segments they have no choice they have to be that but you can’t really get that you’re kind of off.. But if you do what is required to get that it requires a funny angle and a funny thing that add up to the right length and complicated but very weird mysterious way it’s all the same number present angle or Length whatever it is it HAS to be that way it doesn’t have to make sense it just is what it is??? Weird!
 

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I was pitching my battle I didn’t have a choice to drive her because it was so big it had to go that way but as it turns out that call made for the dimensions that required that slightly longer first segment . Everything else follows suit by length when you do that all the math and measure it with a square and when you build the thing it always works out is 12 and 6 15/16 that’s also it’s just a slight touch underneath 30° which is the speed of light which is just slightly under the 3 or 30 or 300 or whatever units you’re going to use for the speed of light in a log 10 relationship. At these levels of math and whatever it kind of doesn’t make sense but it jumps around like that but it does make sense if you look at how they judge the distance of far away stars and galaxies using that same exact angle.


It defies the parsec it defines the light year it’s a parallax angle of the speed of light defines or every single major Galaxy y or star is in the universe or in a Can you even find every single number that’s in the same not this one in particular but the compound version shows them all because it has to because it’s canceling out from both sides it’s the absolute truth the absolute numbers when given the right information. That’s just the same 30 over and over again 12 times in a circle nothing else works or doesn’t it however it does adapt proportionally there’s another canna worms waiting for this one to hopefully be understood so we can all look at it and maybe understand better what this means?
 

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Thanks for the replies. I'm going to study these designs. The next step is figuring out the internal structure. It doesn't need to look like a conventional cabinet but also I don't want a 2.5m long object in my listening room (although technically it would fit). I'm also thinking about a modular cabinet that could be easily disassembled into smaller parts, so a huge final product is not a huge inconvenience.
 
This is the speed of light and those numbers are a trip to the Earth Mars and back to the earth by 299-979-2458 at the fourth and the open cylinder harmonic that’s a speed of light brighter than a 2 to 4/3 or not it that’s exactly the distance to Mars and 14998 is exactly the distance to earth twice a year and a 7499 is half of that exactly


if that is not enough the temperature in Celsius in degrees? In the pipe calculator which is set at the speed of light 4 m/s is the angle associated with exactly the speed of light in the math and circle In fact if you look at all these numbers as rise and run calculators or construction numbers or navigational numbers they’re all the same number described in a variety of ways be at radians a slow percent rise and run metric or English units cross breeding the same number and so it gets all confusing at all weird even more so because you jump around and describe it as a degree or a circumference about on a circle but it’s still the hard-core crazy math deep inside I ordered quite a ways of acoustics but it’s also the exact numbers the astronomy and astrophysics use as well as Elon musk every single rocket all of these numbers.


Here’s a good one somebody approached me and wanted me to run these numbers against the numbers they had millimeter Facebook group because he saw this discussion I’m having with all his numbers and showing how he’s making out with the sound and try to figure out what the heck and how this was doing these things and producing these frequencies that were exclusive to the information in the Egyptian pyramid. This gentleman had several patterns using acoustics to do a number of things in the medical field his name is Robert Edward Grant and he has all of this information but he needed even more narrow down things even better especially the details of the great pyramid which Way to the heart of some of the mystery in the archaeological portion of this I guess were all of his information get nickeled and dime to converge at something that it did never make quite as much sense as it had before and that was here in the frequencies and the details of the information in the system of a compound pioe, The specific asset specific exit specific distance between everything just like this. Because there’s a shift in the numbers is the exact same shift that the earths axis tilt and is slowing down and it is a 27,000 year. Which is actually 25,920 years were the axis flips all the way over back-and-forth in it has four seasons 6480 years each word has done the same thing as our seasons do but it’s gonna move all around and elliptical funny shape pointed at the north star did changes 1° every 72 years .. but it doesn’t it’s been slowing down.

Those numbers are in here too and they are adjusted as it appears the same exact way the numbers that represent the procession of the equinox has been changing since it’s been on record which is not easy to find in ancirbt Archaeological evidence and more so it describes what happened to the pyramid of Egypt it describes what that’s about and it’s pretty much seals the deal on a lot of floods global warming, Ice ages, Noah’s Ar, comets , Meteors and the frequency or basis of cycles of things that happened in our solar system which coincides with the numbers in these qw pipes as well.

See the numbers that are in here and I put into this pipe or also the dimensions inside the crêperie but Egypt in a room exactly . And these are numbers we’ve been using for offset driver entry to start there’s just more of them divide it up the same way.

If somehow the stuff I’m saying what makes sense and people understood it in this forum there’s so much more to it and it’s more important then how do you think I have to say it’s the rest of it that everyone needs to see and come to the wrong conclusions of what in the heck this all is? That’s why there’s a huge Facebook group for this and why I wish it was easier to explain but maybe it’s not supposed to be easy maybe it’s something bigger or something more important after all why is it inside a pyramid in a room a perfect rectangle that has a perfect rectangle in it that supposedly have the ark of the covenant which is supposedly full of Uranium or some thing radioactive ? But it was stolen however they did all the dimensions of that room and the thing that contain the ark of the covenant assuming that was in there are dimensions and numbers you can find online anywhere’s that’s where I found out what the heck these things are all about?? His numbers that keep defining everything in portions of the dimensions of the sun or speed of light but also divvied up art all the frequencies of concerned that make this pattern but they also can be observed as inches or millimeters and how they connect in that way dropped onto the circle whatever the says it all works and that’s how it works in the Sims in these pipes.

27
54
108
216
432
648
864
1728
25920
4320
5184
6912


All those have any coolant in millimeters and those are all thousands of an inch and there’s more of them I just previewed that the ones that you may notice already every single number there is very very significant even 1728 might notice as a square inch cubes in the foot that’s the kind of information that’s in here That’s twice a day in the sun at 864 if you can buy that and they were son in a triangle you get the location of the earth at 1499,000,000 km from the sun sun. You should see what all these numbers are inverted . ( 1/x ) that’s when you see what might really be going on here or what’s being conveyed all these numbers describe a lot of things but inverted they also describe a lot of things and example would be the fine structure constant associate with the number 137 or 1/137. For that too is expressed in the frequency Cancellations in the compound QW pipe like this exactly dead nuts. ? What is the single most important number in the universe according to everyone how come it just joins in with all the other ones which are open to that but equally as important and represented in the same precisely not even remotely off by a little bit here little bit there or even a decimal point in the blow 2000s where you can look at the greater details this things are on the money. Is that because the universe runs on the specific method but since he was a circle ? Or is that because acoustics is somehow the blueprint or is it the reproduction of sound through pipes that is somehow the blueprint or the information the same information somebody was trying to say for us inside the pyramid of Egypt and if we understood that knew that instead of not knowing that or anything about it we’re not looking into that to see what that’s all about because it would play a great role in what you understood about all of speakers . Because there’s a speaker a compound Quarterway pipe that clearly is doing things nothing else does be that representative in math and function where that ends I have no idea I cannot find that it is an easy to nickel and dime this thing and find the math ways to change the unit to change the unit conversion or whatever do you explain what all these numbers mean, But apparently you can get rich off of them apparently this is how economist rule the stock market this is . And that’s why it seems odd that it predicts the demise of the dinosaurs amongst many other things if carefully looking at how to correlate a pattern to a date to something add in that location in the universe that obviously is not an exact science however there’s Harvard theoretical physicist that are clearly stating and talking about the numbers that I find in these exact same pipes ?? not unlike bodes law which found planets since the 1800s There is a very sophisticated system here numbers and time and distance and time dilation via distance but I also think harder this one is a doozy there’s multiple dimensions of things that we can’t understand but could represent in numbers If the numbers make sense and they kept making sense and then they left opportunities are they just spelled out something that clearly A person like me couldn’t even explain to me V have to experience in order to observe there’s a wave pattern and everything there’s also a pattern in math the numbers for 1÷7 themselves alone those three numbers in the next three after them and the numbers that those will make As 2,3,4,5,6,711.22.33.44
88,132,176,220,440,880/7 and so on and everything in between there’s a pattern and it describes the next numbers below it in the decimal points of those numbers that’s a heck of lotta writing but what they reveal is worth it.


Things are supposed to be such a mystery, maybe there’s more to being a human or being on earth than a Covid global warming a politician taxes I had a tire error or a couple of them I have people who will never retire they’ll die on the job… Meanwhile we’re busy in the rat race we noticed a much grander teacher more obvious thing that might be in this information in these numbers it might mean something I am 100% saying it absolutely doesn’t everyone needs to look at anyone who understands quite away by the transmission line speakers is already kind of got a foot in the door but you should see what these numbers mean to people outside of acoustics are speakers or whatever apparently this is the bees knees if I don’t know what you call it Philo math??
 

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I'll take your word on all this. 😉 That said, we [just use to?] describe widest BW as 'Dc to light' but seems ridiculous to me since Dc = infinite BW, so how does speed of light figure into it?

As for the angled driver, I've seen a number of designs like yours, but always assumed that it was just to make it fit in a specified box size. Then again, some were patent applications, so maybe some folks were thinking like you many decades ago or as I assumed, was just to keep their options open.

edit: Another thing is that 1/f = exponential seems somewhat common in nature, ditto octave spreads [2:1], so does any of this 'fit' with your theories/understanding?

Octave calcs:

Fh = Fl*2^n

Fl = Fh/2^n

n = ln[Fh/Fl]/ln[2]

where:

Fh = upper frequency
Fl = lower frequency, or the XO point in this case
n = octave spread
ln[2] = 0.6931

Inquiring minds want to know. 😉
 
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HI Booger, I am so Glad I finally got you to come over and converse with some of the people here! @GM Is a good guy, hes helped me tremendously on my project, always trying to be beneficial... You might say my design ended up in the dimensions it did, thanks to GM...@TNT will likely try to worship you since you are way out his league...He doesn't respect my ability to abstract reason but thats not my loss....He was just on my thread, recently, being disrespectful, so watch out for him. I don't know why me and you clicked lol then again, we both have a sophistication to our dialog that is out of grasp of a lot of people. Thank you for your help on my project, I'm still creeping along at a snails pace 😊 👍 I actually ended up here, looking through TNT's post, psychoanalyzing him.....funny to find him here, on your D....lol!!!!

Hope all is well for you @Booger weldz
 
Impressive. I suppose you mean speed of sound and not light in post #5?

//
No, actually. I
mean speed of light.
There’s a mathematical function or the breakdown of 360° in 12 parts?

Actually , its come along way since posting this and the use of this type of approach as well as how it would work and why. It appears To provide the most effective means of efficient or wide band with in any alignment so far.


More recvtky I got a ‘blueprint’of the kings chamber in the pyramid of Egypt @ Giza and started translating the dimensions proportionally into more and more things. And then scattering that into more and more versions of subwoofer enclosure or similar to see what I could exploit using driver entry Fossett or folding intervals based on 12 in 36And then scattering that into more and more versions of subwoofer enclosure or similar to see what I could exploit using driver entry / folding or folding intervals based on pi/12 x sqr root 2,3,4,5 ,9, 20,21. Radians and/or as centimeters of circumference in a Circle then those numbers applied to an enclosure.

Example being a 104.76 cm segment in 300 cm total as the first fold and driver entry point.
 
HI Booger, I am so Glad I finally got you to come over and converse with some of the people here! @GM Is a good guy, hes helped me tremendously on my project, always trying to be beneficial... You might say my design ended up in the dimensions it did, thanks to GM...@TNT will likely try to worship you since you are way out his league...He doesn't respect my ability to abstract reason but thats not my loss....He was just on my thread, recently, being disrespectful, so watch out for him. I don't know why me and you clicked lol then again, we both have a sophistication to our dialog that is out of grasp of a lot of people. Thank you for your help on my project, I'm still creeping along at a snails pace 😊 👍 I actually ended up here, looking through TNT's post, psychoanalyzing him.....funny to find him here, on your D....lol!!!!

Hope all is well for you @Booger weldz
Hey buddy!! Yes GM has changed everything and without his guidance or his free gifts of information or links to it I would be a clueless dork with no QW path(s) to navigate🤪🤪😜

Heck maybe he gave me too much information and create a monster! I don’t think I could find something worthy to pay him back with. Still looking..