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mythmath 22-11-2009 05:42 AM

The 81 Lo Shu Tones
 
The 81 Lo Shu Tones

http://i133.photobucket.com/albums/q...NewJencopy.jpg

The 81 Lo Shu Tones, form a complete frequency set...

There can be no fewer or no more than these
81 mathematically-related, 3-digit elements...

However, these 81 tones can spawn countless, related
frequencies through multiplying by harmonic ratios...

mythmath 22-11-2009 05:43 AM

First off, I want to say that the research that has been done on this set of
numbers has been a team effort, with everyone who has participated
sharing their efforts to help clarify the possibilities inherent within...

For the full story on the development of all this, I'd recommend reading
through
this thread at abrahadabra.com and follow all the various links... http://www.energeticforum.com/images/smilies/wink.gif
_________________________________

Next I'd like to show why I've chosen to refer
to this number set as The Lo Shu Tones:



We'll start by dividing all of the tones (shown in the diagram
in post #1) by their only common denominator,
which is 3:

http://i133.photobucket.com/albums/q...cedby3copy.jpg

I've highlighted the consecutively-numbered pairs (i.e. 73 & 74, 86 & 87, etc.)...


These pairs occur whenever the flow of numbers
ch-ch-ch-changes from odd to even or even to odd...


Note that in the above diagram, now 37 becomes the 'primary' number
as well as the main vertical (in this diagonal diagram) incremental number...


IOW, there's a difference of 37 between 37 and 74,
between 74 and 111, between 82 and 119, etc, etc...



__________________



The next image shows the (factor-of-3-reduced) numbers after
they have been 'Vedically-reduced' down to their digital roots:

http://i133.photobucket.com/albums/q...digitscopy.jpg

Here the diagonal columns reveal the pattern of 1/4/7, 2/5/8 and 3/6/9;
the chronologically coherent 'family seeds'...


The total of all 81 digits is 450 and 450/81=5.55...

The total of the 9 digits in the highlighted area is 45...


And uncannily encrypted at the very Center
of this set of numbers is its Source:



618
753
294

http://forums.abrahadabra.com/images/smilies/yes.gif


see article: The Mystical Lo Shu


mythmath 22-11-2009 05:46 AM

The 81 tones are inseparably woven (or yolked) together...

It's a geometrically-coherent, crystalline structure...

An archetypal projection emanating directly from the Tetractys/LoShu...
_________________

employs tones that are inter-related members
of the same harmonic series and are usually represented
by small number ratios such as 3:2 or 5:4 or 2:1...

So some of the 81 tones exist in these type of harmonic
inter-relationships, and one of my goals is to develop a
method that would allow for a type of harmonic modulation
by moving through the tones in a manner something like
Tarzan swinging from one reachable vine to the next... http://forums.abrahadabra.com/images/smilies/wink.gif

In this way, harmonically linking two 'unrelated' tones by
way of a third tone that is harmonically related to both...

Or something like that...
_____________________________

The relevance of all of this harmonic theory is that by establishing some
'rules of the road' in how to navigate and combine various elements
(tones) of the set, one can then achieve the desired emotional or
therapeutic results depending on the manner in which they're employed...

{music, kymotropes, healing, or what I'm intending to achieve, a balance of all**

kymo = wave, trope = to turn

For examples of kymotropes see: YouTube - MythMathFilms's Channel

mythmath 22-11-2009 05:50 AM

The Toneset's obvious link to Rodin's work is the fact that
the numbers can be 'generated' by the Enneagram...

One of the main contributors to the Lo Shu Tone research goes
by the nick of j00lz at abrahadabra.com and he has compiled
several graphic charts
that demonstrate how the tones can be
derived by counting out different 'beats' around the Enneagon:




Each subset has a different set of 'polarity reversals' or
patterns of smallest/largest leading frequency.

(The S and B marked on the diagrams indicate
which of the pair is 'leading' the smallest or biggest.)


The 1:8 Beat Frequency subset:

http://i133.photobucket.com/albums/q...io-123-set.jpg



The 2:7 Beat Frequency subset:

http://i133.photobucket.com/albums/q...io-135-set.jpg



The 'Classic' 3:6 Beat Frequency subset:

http://i133.photobucket.com/albums/q...io-147-set.jpg

(note this is the only subset that is NOT Unicursal...
MultiCursal if you will ;) )

This specific set of 18 tones include the frequencies that
are known to most people as the "Sacred Solfeggio Tones"

What makes this 'beat family' sacred I hear you ask?

3:6 is an octave

and we're dealing with
9
digits

let me
SUM UP
3,6,9
=
18

________________________


The 4:5 Beat Frequency subset:

http://i133.photobucket.com/albums/q...io-159-set.jpg


If we look at all the 4 sequences and track the
frequencies linearly we can trace the Spin directions.

The position of the lowest frequency spirals in a reverse
direction, inward and then outward again from 1 thru to 9.


All together now:

http://i133.photobucket.com/albums/q...ll-72paths.jpg

Each '100hz octave group' from 1-9 can
now be assigned to 8 tones:
(4 black/ 4 white)
(shown here in grey for contrast against the background)

Ordinal Sequence:

123,135,147,159,162,174,186,198
234,246,258,261,273,285,297,219
345,357,369,372,384,396,318,321
456,468,471,483,495,417,429,432
567,579,582,594,516,528,531,543
678,681,693,615,627,639,642,654
789,792,714,726,738,741,753,765
891,813,825,837,849,852,864,876
912,924,936,948,951,963,975,987


Note the 3rd column = 'standard solfeggios' deosil
and the 7th column = 'standard solfeggios' widdershins

Also that the 1st and last BOTH start with the
lowest frequency of the group ALREADY.

Easier to see in the linear arrangement:

Linear Sequence:

123,135,147,159,162,174,186,198
219,234,246,258,261,273,285,297
318,321,345,357,369,372,384,396
417,429,432,456,468,471,483,495
516,528,531,543,567,579,582,594
615,627,639,642,654,678,681,693
714,726,738,741,753,765,789,792
813,825,837,849,852,864,876,891
912,924,936,948,951,963,975,987


Notice every 4th group represents
a full reversal of 'yin+yang'
or
'spin order'
with the full 9 cycle returning to the
same starting polarity/spin order

and of course 2 and 8, 3 and 7 and 4 and 6
and also polar inverse groups.

__________________

And finally,

111,222,333,444,555,666,777,888,999

represent the following whole number ratios

1:2:3:4:5:6:7:8:9

and any combination you care to play together
these are the simplest 'purest' intervals.


The logic fits with the 'Enneagram Tone Set'.

They would represent the energy of the
nine points as opposed to 'paths'.

_______________


Full 81 tone Ordinal Sequence

111,123,135,147,159,162,174,186,198
222,234,246,258,261,273,285,297,219
333,345,357,369,372,384,396,318,321
444,456,468,471,483,495,417,429,432
555,567,579,582,594,516,528,531,543
666,678,681,693,615,627,639,642,654
777,789,792,714,726,738,741,753,765
888,891,813,825,837,849,852,864,876
999,912,924,936,948,
951,963,975,987



Full 81 tone Linear Sequence


111,123,135,147,159,162,174,186,198
219,222,234,246,258,261,273,285,297
318,321,333,345,357,369,372,384,396
417,429,432,444,456,468,471,483,495
516,528,531,543,555,567,579,582,594
615,627,639,642,654,666,678,681,693
714,726,738,741,753,765,777,789,792
813,825,837,849,852,864,876,888,891
912,924,936,948,951,963,975,987,999

sadukan 22-11-2009 05:16 PM

an initial idea
 
Hi MythMath,

I did browse through your previous thread over at abrahadabra.com - though I didn't make notes or anything, so forgive me if my suggestions are already documented.

I was interested in your Tetractys rendering like in this post, since I have derived exactly the same numerical placement - although my starting point was the binary tetrad. I'm in the process of compiling my findings and it's reassuring to know that others have reached the same conclusions - albeit from another perspective.

My main initial thoughts were that this 3-digit coding of Solfeggio Frequencies has a relationship to Stan Tenen's Hebrew base3 coding over at meru.org.

I first came across Stan's work while I was looking for a coordinate system to use in a computer model of tetrahedral HgTe II-VI nanocrystals during my preliminary PhD research. (I quit the program due to health issues - so I'm not a "Dr" or anything - if that even matters.)

The obvious starting point was a cubic arrangement. So, I thought the smallest unit of such a modular system would have to include each element of its further progression. Thus I chose a 3x3x3 matrix. I then found out that Hebrew has 27 letters - so it was perfect for my model.

That's when I discovered Stan's coding of Hebrew, which then led me towards Nassim Haramein and later, Drunvalo Melchizedek. Marko Rodin's Vortex Based Math then got me interested in the number side of all this - before that I was working with geometric constructs and symbols.

I also discovered the Vastu Purusha Mandala (
Paramasāyika mandala) and quickly realised that it was isomorphic to the Tai Xuan Jing.

I think I'm using a different base3 coding to your Tai Xuan Jing version.
I also use slightly different notation:

Tian=(yang-0), Ren=(yang/yin-1), Di=(yin-2)
http://th08.deviantart.net/fs50/300W...ng_by_XN0R.jpg

Thence, your "Lo Shu Tones".

Now, what seems apparent to me is that these tones can be derived from combinations of base3 coded Hebrew - "words" if you will.

The problem with the pure base3 is that it contains zeros, which could be countered by using the traditional base10 gematria values.

The base3 runs through 27 numbers: 000-222
If you then translate that into base10 gematria you could construct any 3-digit Solfeggio Tonal Value, running: 000-999

NB - a "zero" could be interpreted as a period of silence - "no tone"; perhaps numbers containing a zero must be built into harmonic chords?

So, effectively you could translate the whole Hebrew text of the Bible into musical tones and beats - something like this video of
Susan Grisanti performing music for the ''. Apparently there is some computer software too, though they don't detail how the music is transcribed - Bible Music Writer v.

Just thought I'd mention that idea, though I haven't explored it in any great detail - it was on my "to-do" list though.

I tend to be a bit secretive about the full scope of my project - though when I find examples that match my own findings then I usually don't mind discussing what I have. My method is usually to construct first and then deconstruct, followed by a reconstruction - "reverse engineering" if you like.

Also, recently I don't have as much time as I'd like to spend contemplating this stuff - so to share the burden with others is a welcome relief.

sadukan.

PS That is of course if you think my suggestions are helpful. :p

"over it is 19"[74:30]
(DiYu - 18 Levels of Hell)
Philip LeMarchand
http://www.pyramid-gallery.com/LamentTN.jpg

mythmath 23-11-2009 03:41 AM

Hi sadukan,

I think that all of these 'systems' that seem similar,
but that use different symbols or numerals, can be
thought of and dealt with as if they are congruent...

A rose is a rose is a rose...

So the base-3 numbers and the THC (Tai Hsuan Ching)
trigrams and the Lo Shu Tones can be thought to have
some interchangeability in many applications...

Of the 81 Tones, there are 9 which are repdigits:
111,222,333,444,555,666,777,888,999, which leaves
72 tones that are made up of non-duplicated values...

I usually steer clear of biblical (etc.) correspondences,
but some folks have seen possible links to the 72,
3-letter names of god:
And there is a 27-tone subset of the 81 Tones that I
have worked with that could be seen as an isomorphic
equivalent to Tenen's base-3 values:

http://i133.photobucket.com/albums/q...andTriples.jpg

This subset of 27 tones can be seen as 3 columns in
the 9x9 arrangement of the 81 tones shown below
(colored coded green and grey squares):

http://i133.photobucket.com/albums/q...ARE3x3copy.jpg

Note that the 27 tones shown are the
9 repdigit tones plus the 18 "Solfeggio Tones"
(numero-logically expanded from the 6, or 9 accepted "Solfeggio")...

mythmath 23-11-2009 03:46 AM


torus 23-11-2009 03:49 AM

sure, 3 to 6 is an octave, which is just a doubling of frequency. or 1:2

mythmath 23-11-2009 03:58 AM

I want to introduce something here that will help
clarify some other graphs that I'll be posting...

It deals with a way to represent each of the 81 (3-digit) tones
as a 2-digit 'coordinate value' resulting in a 'shorthand' method
of referring to (or graphically depicting) the 3-digit values...

Here are the 81 tones shown as 3-digit frequencies:

http://i133.photobucket.com/albums/q...SQUAREcopy.jpg

Here is the same arrangement of the 81 tones,
but this time shown as 2-digit coordinate values
(disregard the different color-codings and focus on the numerical alignments):

http://i133.photobucket.com/albums/q...Ediagscopy.jpg

mythmath 23-11-2009 04:04 AM

27 and 37



It began in a thread from 2007 exploring Ternary Distribution patterns
(originally inspired by the 'graphic congestion' of the inverted,
yonic triangle in the center of the tri-tangle game board)...

In the thread I re-imagined the isometric Hex grid as
a 'Hemicube' (somewhat akin to the )
and I assigned, first the 9 numerals of the Lo Shu, then ultimately
the 27 trigrams onto the facets of its three visible faces...
{see post#3 for details**

http://i133.photobucket.com/albums/q...LoShuCubed.jpg


http://i133.photobucket.com/albums/q...miCubecopy.jpg

_____________

Subset of 27 tones
{anchored by the 37 points of the Hemicube
**

http://i133.photobucket.com/albums/q...iccubecopy.jpg


{see also: Accidental Abrahadabra and "Solfeggio" thread posts #93 and #104**

mythmath 23-11-2009 04:05 AM

More on 27 and 37

The numbers 27 and 37 are 'reciprocals' of each other:

1/27 = .037037037...
1/37 = .027027027...

and

27 x 37 = 999
{999 is the largest frequency in the 81 toneset**

_______________

The 27 (2-digit) tones shown on the Hemicube
in the previous post add up to the value of 1485:

1485/37 = 40.135135...

1485/27 = 55

The central hub around which the entire
81 Lo Shu toneset revolves is 55:

55/40.135135 = 1.370370...

and

40.135135/55 = .729729...

also

37/27 =
1.370370...

and

27/37 = .729729...

_________


729 is the number of hexagrams in the Tai Hsuan Ching:

9 x 9 x 9 = 729

__________________


This value of
1.370370... is also quite significant:

According to the United States Bureau of Standards,
the physical constant (or fine structure constant)
of the hydrogen atom is 37/27 x 100:

As we saw above 37/27 =
1.370370...

So
1.370370 x 100 = 137.037037...
_______________

{The following is exerpted from chapter 4 of Wilcock's Divine Cosmos**

THE FINE-STRUCTURE CONSTANT


This constant has been continuously studied by spectroscope analysis,
and the highly revered physicist Richard P. Feynman explained the
mystery in his book The Strange Theory of Light and Matter.


(This value) has been a mystery ever since it was discovered more
than fifty years ago, and all good theoretical physicists put this
number up on their wall and worry about it.

Immediately you would like to know
where this number for a coupling comes from:
is it related to pi or perhaps to the base of natural logarithms?

Nobody knows, it is one of the greatest damn mysteries of physics:
a magic number that comes to us with no understanding by man.
You might say that the "hand of God" wrote that number,
and "we don't know how He pushed His pencil."


mythmath 23-11-2009 04:07 AM

The number 37,
as shown below (and in greater detail in post#2),
has a pervasive, yet often 'hidden', influence in the set of 81 tones:


Linear Arrangement of the 81 Lo Shu Tones
shown here in their 3-digit frequency form
{Reduced by their only common denominator, which is 3**


http://i133.photobucket.com/albums/q...cedby3copy.jpg

Note that in the above diagram, now 37 becomes the 'primary' number
as well as the main vertical (in this diagonal diagram) incremental number...

____________________



1/81 = .012345679...

these digits sum to, you guessed it, 37...

sadukan 23-11-2009 05:19 PM

Herubik Syllogik
 
Quote:

Originally Posted by mythmath (Post 1058431294)
Here are a few other graphs dealing with 27:

http://i133.photobucket.com/albums/q...ryTrigrams.jpg

There's your gematria table right there.

Here's my "version" complete with an RGB code which links in to the base3 coding of syllogisms:

http://fc07.deviantart.net/fs50/i/20...on_by_XN0R.jpg
Herubik Chromotion

Abstraction has its own clarity, though I like to make lateral connections too. :)

http://th00.deviantart.net/fs28/300W...ON_by_XN0R.jpghttp://th04.deviantart.net/fs46/300W...us_by_XN0R.jpg

TRON
Eye of Horus

sadukan.

PS NB - the "TRON" was my first analysis of the beginnings of a computer model for the tetrahedral HgTe nanocrystals. This was around April of 2001. Then, as you might imagine, I got sidetracked.

"over it is 19"[74:30]
(DiYu - 18 Levels of Hell)
Philip LeMarchand
http://www.pyramid-gallery.com/LamentTN.jpg

sadukan 23-11-2009 05:58 PM

3 Pillars and a Spherical Stone???
 
Quote:

Originally Posted by mythmath (Post 1058431291)
And there is a 27-tone subset of the 81 Tones that I
have worked with that could be seen as an isomorphic
equivalent to Tenen's base-3 values:

http://i133.photobucket.com/albums/q...andTriples.jpg

This subset of 27 tones can be seen as 3 columns in
the 9x9 arrangement of the 81 tones shown below
(colored coded green and grey squares):

http://i133.photobucket.com/albums/q...ARE3x3copy.jpg

Note that the 27 tones shown are the
9 repdigit tones plus the 18 "Solfeggio Tones"
(numero-logically expanded from the 6, or 9 accepted "Solfeggio")...

Three Pillars...?
Interestingly, the has 3 pillars.

http://upload.wikimedia.org/wikipedi...Life_Stage.jpg

Also, inside the ("Cube") in Mecca there are - guess what - 3 pillars!!!

http://upload.wikimedia.org/wikipedi...a-plan.svg.png
sadukan.

"over it is 19"[74:30]
(DiYu - 18 Levels of Hell)
Philip LeMarchand
http://www.pyramid-gallery.com/LamentTN.jpg

sadukan 23-11-2009 08:01 PM

55 count pseudolattice (HgTe) II-VI
 
Quote:

Originally Posted by mythmath (Post 1058431311)
More on 27 and 37

The numbers 27 and 37 are 'reciprocals' of each other:

1/27 = .037037037...
1/37 = .027027027...

and

27 x 37 = 999
{999 is the largest frequency in the 81 toneset**

_______________

The 27 (2-digit) tones shown on the Hemicube
in the previous post add up to the value of 1485:

1485/37 = 40.135135...

1485/27 = 55

The central hub around which the entire
81 Lo Shu toneset revolves is 55:

55/40.135135 = 1.370370...

and

40.135135/55 = .729729...


More "lateralism"... :D

The number 55 is also found in my analysis of the HgTe nanocrystal structure:


http://www.webelements.com/_media/co...1-12068905.jpg



These are atomic pyramidal pseudolattice counts for the Quantum Confinement Anomaly of tetrahedral HgTe (II-VI) nanocrystals:



http://farm3.static.flickr.com/2606/...952983db_o.jpg


Notice the decimal value of the volume(Hg)/surface(Te) count ratio at a count of 55 atoms is an Enneagram sequence:

5-7-1-4-2-8 :eek:
http://farm3.static.flickr.com/2676/...aebf8943_o.jpg

sadukan.

PS This analysis omits a true volume/surface relationship and is based on simply counting the atoms. The octahedral interstices and internal inverted tetrahedra are thus omitted.

PPS The count of 55 also appears at the scale level of 4, matching Nassim's 64 tetrahedral IVM grid:

http://www.verbchu.com/crystals/yfcc-ivm.gif
*stereogram (crossed-type)


"over it is 19"[74:30]
(DiYu - 18 Levels of Hell)
Philip LeMarchand
http://www.pyramid-gallery.com/LamentTN.jpg

sadukan 25-11-2009 11:49 PM

abstract clarity
 
Sticking to the purely abstract, what is happening is that successive Tetrahedral Numbers are being summed with a phase shift of 1 step between them:

Triangular Numbers:

0 .................= 0
0 1................= 1
0 1 2..............= 3
0 1 2 3............= 6
0 1 2 3 4..........=10
0 1 2 3 4 5........=15
0 1 2 3 4 5 6......=21
etc

Tetrahedral Numbers:

0..................= 0
0 1................= 1
0 1 3..............= 4
0 1 3 6............=10
0 1 3 6 10.........=20
0 1 3 6 10 15......=35
0 1 3 6 10 15 21...=56
etc

Now offset two series of Tetrahedral Numbers by one step and sum them:

Te+Hg = Atom count
0
1 + 0 = 1 scale 0
4 + 1 = 5 scale 1 (1st tetrahedron)
10+ 4 =14 scale 2
20+10 =30 scale 3
35+20 =55 scale 4
56+35 =91 scale 5
etc

This takes the form of a nested tetrahedral series - as with the HgTe nanocrystal example. The Hg tetrahedral series is nested within a larger tetrahedral series of Te atoms.

If we now take two such nested tetrahedral series at scale 4 and combine them into a star tetrahedron (adding an extra 24 tetrahedra to fill in the gaps) we get a 4x4x4 cubic arrangement equivalent to Nassim Haramein's Isotropic Vector Matrix (IVM), or "64 Tetrahedron Grid":

http://www.verbchu.com/crystals/yfcc-ivm.gif

sadukan.

PS I didn't mean to interrupt the thread with physics as such - I just wanted to show my entry point for the number 55 and also a geometric rendering which may not be immediately apparent.

PPS For the IVM, I count 63 Te Atoms
(vertex nodes); plus the 64 tetrahedrons having 1 Hg Atom each makes 127 atoms for the IVM.
127 = 1111111 in binary (thx Wolfram).

"over it is 19"[74:30]
(DiYu - 18 Levels of Hell)
Philip LeMarchand
http://www.pyramid-gallery.com/LamentTN.jpg

jtstatic 01-12-2009 06:56 AM

Stumbled upon this:

http://www.alexpetty.com

http://artojheino.yolasite.com/resou...CrysBook1d.pdf

I thought the book might be of interest to this topic as it deals with the stuff that has been discussed. Haven't read it yet but the table of contents seems promising.. :D

j35p3r4d0 03-12-2009 09:34 AM

Clash of the titans; True Respect



If you hang tight, I should be able to get you the ideological structures in conjunction with these values and mechanisms as per my own reckoning, i'd like a reference at least

Your respective understanding in regard of this inherent logic is admirable, 'you're on the money', and i never took to maths so easily

My angle to these premises comes from base personified ideological structure and its functions toward consciousness overall as integrated to the human structure

Mymath: Your research toward technological application is astoundingly refreshing, I'm thinking orgone amplification, material technology, and informational frameworks, you seem to smash the math efficiently :D

Sadukan: Werd to the eastern, hexagram atom.

does this correlate"?
http://www.i-ching.hu/chp00/chp2/rec...mg/image20.png


I feel this understanding leads toward phasic field modulation also, if the dimensional vectors are understood and accounted for, you're burgeoning upon the logic behind particle physics virtual sandbox, in a way that is already becoming more widely understood, as always.

a rose is a rose is a rose,
and the correlative factor of the opposition resonances in 'the' fielding overall is key to causal understanding of dimensional structures, i know this of mind.

to any cube there must be a sphere, and triangulating vector curves in fractal is near quantum computing, if you figure out the framework in such a fashion, given another life; soothsayer would you be not?


i don't mean to sound all factual either, compared to this sort of bedrock; my jives are metaphysical, but I can see the structure, and I swear you guys are getting close.

We have the virtue of conceptualization, figurative ideology, this math is gold weave to the letter

PEACE

http://images.tribe.net/tribe/upload...ge-profile.jpg

j35p3r4d0 04-12-2009 06:48 AM

here's some of my own research. Hope it helps, it does me just fine.

http://photos-f.ak.fbcdn.net/hphotos..._2860394_n.jpg

1> manifesting
2> intilect
3> persistance
4> creativity
5> intention
6> memory
7> unerstanding
8> knowledge
9> 'highest' energy



jungle is massive.

j35p3r4d0 04-12-2009 06:53 AM

you might want to go ahed and have a look at this sequence also, it was handed to me by the univerce


117 >
23, 23, 23

69 >
52, 28, 32

1012 >
23, 0, 23, 56

1112 >
23, 23, 23, 12

711 >
23, 23, 23

69 >


etc etc

"69 years, another season in this hell"


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