why is the 3 x 1/4 harmonic @…

what is (0.3490658)? is it pi/9?

how does it come up with the location for driver entry point that perfectly aligns to fill in that void and get an extension to the 5×1/4?

example :

300cm or 3 m x 0.3490658
or 1/x (2.864788975)

is 104.719cm

this is (just like ) 20 degrees and 60 as radians (x100) or pi /9 and pi /3 ? weird to me, probably makes sense to people better at remembering math learned long ago🙂

and 300
-104.72 is
195.28

195.28/104.72 is

(1/x) 1.864788975

and 104.72
209.44
314.16

?? the actual pressure node locations are just outside the 300 cm pipe?

I realize this is just a bunch of numbers to some folks and it may sound stupid but there’s more to it once I get the ball rolling to explain further questions in the same area using the other side of the driver as well in a compound TL arrangement. (hopefully??)

I don’t understand where the odd harmonic interval numbers are derived from?

0.217
0.349
0.424
0.6
0.712
0.848??

Some of the stuff is probably boring or inconsequential to many but no matter what you’re helping educate people who find this fascinating(because all these numbers can be derived from the interior and dimensions of a rectangle , a very specific area inside the eGyptian pyramid but also in square roots of numbers that pivot off of the number three or 1.5 or .75… which is another can of worms maybe I can open up at some point without confusing myself or others, LOL
 

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in the pic above you see 28.8 as fundamebtal (1/4 wave of 7.2(1200 cm))

then 300 as 28.8
150 as 57.6(not in closed end pipes )
100 as 86.4
75 as 115.2 (not in closed end pipe)
60 as 144
50 as 172.8 (not in closed end pipe)
42.857142 as 192
37.5 as 230.4
33.33 as 259.2
27.2727 as 316.8
25 as 345.6
and so on..


Just observing and looked at this all the way up through to 8 to 1Just observing and looked at this all the way up through to 10 cm (864) etc…

intersting

But also li ing driver up at this point perfectly presents a lot of possibilities..

guesses or damped versions that dilute the precession seen here already.
 

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Nothing so complex, it's the 3rd harmonic when a vent is factored in that shifts all the harmonics slightly 'South' of the norm. 😉
your words of wisdom always appreciated🙏🏻

is there an end correction or is that just some type of mathematical reference that is’ close enough’ that’s why it always resembles numbers associated with pi? that’s why it’s used?

The reason this gets so nickeled and dime to death by me is what happens when you compound it using both sides driver and the repercussions of having that screwed up are a lot bigger it seems
 
I learned it empirically and kind of surprised I was ~ dead on most of his optimal points with MJK's calculations and what made me a believer in his way to model this stuff.

Understood, some of ya'll's pipes are complex enough to 'drive' me back to pipe organ, calliope design theory!
 
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your words of wisdom always appreciated🙏🏻

is there an end correction or is that just some type of mathematical reference that is’ close enough’ that’s why it always resembles numbers associated with pi? that’s why it’s used?

The reason this gets so nickeled and dime to death by me is what happens when you compound it using both sides driver and the repercussions of having that screwed up are a lot bigger it seems
I learned it empirically and kind of surprised I was ~ dead on most of his optimal points with MJK's calculations and what made me a believer in his way to model this stuff.

Understood, some of ya'll's pipes are complex enough to 'drive' me back to pipe organ, calliope design theory!
dumb it down and simple reveals perfectly aligned qw resonators where they’re also attach to each other at points that don’t disrupt those distances or offset entries as well. The problem with Paraflex is the huge amount of discontinuity between both sides of the driver entry and closed ends as well. some of the reasons that the roar has such a funky looking response often seems to fall into the same conundrum?
 

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dumb it down and simple reveals perfectly aligned qw resonators where they’re also attach to each other at points that don’t disrupt those distances or offset entries as well. The problem with Paraflex is the huge amount of discontinuity between both sides of the driver entry and closed ends as well. some of the reasons that the roar has such a funky looking response often seems to fall into the same conundrum?
oh these numbers are in Egyptian pyramid too which makes it further exciting or mysterious or just leaves you flabbergasted trying to figure out how it all connects..

But when it works in the speaker and when you look at the details and numbers you can see/ use thanks to horn response to scrutinize it (details not ‘rounded up or damped into ) off it becomes a system of knowledge that is universal in many areas not just speaker system it seems?
 
I learned it empirically and kind of surprised I was ~ dead on most of his optimal points with MJK's calculations and what made me a believer in his way to model this stuff.

Understood, some of ya'll's pipes are complex enough to 'drive' me back to pipe organ, calliope design theory!
he doesn’t know what 0.349 is either.. he just got it out of a book. he’s a member of my Facebook group and chimes in from time to time with the same reference material nothing new nothing has changed. he will not touch it if it’s tapped or higher orders for whatever reason because he’s Booksmart and has very little sawdust to promote things or enforce them so to speak…

There’s no confidence without measured sawdust results so people wisely just stick to the simple stuff instead of exploring anything that might have real answers or more of the same in higher orders which carries on to reveal incredibly interesting things beyond what everyone else is playing with already?

I don’t know but clearly it’s us dummies who are to figure out things that we don’t fully understand and then the smart people eventually explain. It still doesn’t make sense regardless until you can find the same answers elsewhere in another area not any different than Richard Feynman used to hint at when describing something to someone else if you fully understood it you could do your grandmother and she would understand becausIt still doesn’t make sense regardless until you can find the same answers elsewhere in another area not any different than Richard Feynman used to hint at when describing something to someone else if you fully understood it you could do your grandmother and she would understand
 
Gm: how about this description?


π÷9 = 0.349
this entry point promotes Helmholtz resonance. having the driver entry perfectly at this point facilitates the harmonics with double and triple the wavelength of the fundamental, especially when the TL has 2 folds (3 sections), which causes reinforcement of the fundamental through harmonic subtraction. the reinforcement is perceived as the difference between the double and triple wavelength and thus our ear hears an additional 'ghost' fundamental, or rather a boost of that frequency. the frequencies in the box are not 'fighting' each other but rather coalescing on every node in the TL. it's like the Tacoma Narrows bridge, resonance became so strong the entire structure started waving. this is ideally what one would want, smaller-scale, in a TL
 
Not really following; I mean if the vent is at the bottom it gets full fundamental pipe action and as it's moved to higher up harmonics it now has a secondary reflection to that point, so don't see how '9' figures into it.
 
Not really following; I mean if the vent is at the bottom it gets full fundamental pipe action and as it's moved to higher up harmonics it now has a secondary reflection to that point, so don't see how '9' figures into it.
thats PI divided by nine. which is 0.3490658. You taught me this number(math constant) . Martin King just happened to have it on a webpage coincidentally as well.



1/x (0.3490658) is 2.864788975

any combo of those (example 104.72/195.28 split of a 300 cm pipe ) is:

1/x = 1.864788975

how much of a connection or less you recognize 86.4 as 1 m when the speed of sound is 345.6 m/s.

that’s a whole Nother level of this and one that you can either ignore or keep looking into as it gets deep into quantum physics and astrophysics etc.

and as weird as it may sound if you participate in these discussions in Facebook groups of quantum mechanics or sacred geometry at the industrial or engineering level end up getting pursued by affiliates claiming to be the illuminati??

😝😝 not joking… they’re still out there I guess and so is their BS?
 
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thats PI divided by nine. which is 0.3490658. You taught me this number(math constant) . Martin King just happened to have it on a webpage coincidentally as well.
😝😝 not joking… they’re still out there I guess and so is their BS?
Ah! OK, not the 'sharpest pensil in the box' @ another sleepless 4 am. :sigh: Sheesh! From the guy that use to use his math superiority to 'brow beat' me.

Long story short, my high school buddy that introduced me to Dr. Leach was a math whiz of the '1st water' that wound up in some literally 'out of this world' Think Tank still in his 20s thanks to his intrinsic understanding of all things math wise up to quantum physics, etc., so if there's such a true 'illuminati' I'll wager he qualifies, though you'd never know it from his 'happy go lucky' demeanor and for sure wouldn't be on any sort of social media.

The less said about all the various prophecies, religious or otherwise, etc., the better as my life has been liberally littered with the fallout of religious detritus of conflicting ideologies.
 
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