Triatrium is Latin and means: 3 groups of 3's
Tria means 3, and Trium means groups of 3's
The Triatrium:
| G#/Af |
||||
|
G |
A |
|||
| Gf
|
|
|
|
A#
|
| F | B | |||
| E | chasm | C |
The
above model is the Triatrium (In circular form). The circular form is
needed to reveal the location of chasm which can only
be located
below the G#/Af and between the E and F. This chasm corresponds to The
Red Zone which will be explained later. The chasm cannot
be
crossed. Any movement (harmony, chords, intervals) from one side to the
other
can only pass thru the G#/Af. There is no chronology in the Triatrium. (More
on that
later.)
The Triatrium as found on the
keyboard, is not a chord nor a scale. The
Triatrium does not begin or end on a key,
rather, it is centralized and symmetrical, and the starting point
is the centre key. It consists of 3 groups of
3's, but not in any chronology. The following diagrams are linear and
do
not show the chasm (red zone).
| E | F | F#/Gf | G | G#/Af | A | A#/Bf | B | C |
| G | G# | A | ||||||
| Gf | G | G# | A | A# | ||||
| F | Gf | G | G# | A | A# | B | ||
| E | F | Gf | G | G# | A | A# | B | C |
The E-F-F# cannot be counted as the first group any more than the A#/Bf-B-C can, because the starting point is the centre. In the context of the Triatrium such letter-names of keys are misapplied because they denote chronology. Also misapplied are the numbers 1-2-3-4-5-6-7-8-9 in relation to the Triatrium because within the triatrium there are 3 groups of 3, and no number higher than 3.
There are three groups, but the groups themselves are not numbered. Within the span of the triatrium, there are 3 black keys and 6 white keys. Only 9 keys can be counted because (in ESoteric numerology) because only 9 numbers exist, therefore only 9 notes can be used. Even when we study intervals, they always add to 9. For example, if we have a -6th going one way, we have a +3d going the other, a -7th one way and a +2d the other, a +7th one way and a -2d the other, an augmented 4th one way and a diminished 5th the other. etc. This despite the fact that there are 12 notes. There is symmetry in the central group of 3: white-black-white. The symmetry in the outside trium occur when comparing them: white-white-black ... black-white-white
There
are two places we can start from in creating three groups of three in
symmetry, the other one being D (which is an augmented 4th/diminished
5th away). One difference between the two is that
when using the D as the central key there are 4 black keys and
5 white keys, hence no
multiples of 3, and further, when using D as the starting point, there
are no grouping of 3 white or black keys. Only the G#/Af starting point
contains a
group of 3 keys, and three groups of 3.
E
F
F#/Gf
G
G#/Af
A
A#/Bf
B
C
| 3 | 3 | 3 |
There are 3 white keys on each side, with the three black keys in the centre. The three groups are (not to be understood chronologically): E-F-F#/Gf ... G-G#/Af-A ... A#/Bf-B-C. We can also see 3 groups of 3 as whites and blacks:
E
F
F#/Gf
G
G#/Af
A
A#/Bf
B
C
<<< 3 black >>>
Symmetry
is
not to be confused with polarity. Symmetry avoids and prevents the
application of chronology. My use of the conventional key names is for
reference purposes only. If we
count the positions of the black keys we get 6 both ways, as 1+2+3=6:
|
F# |
G |
G#/Af |
A |
Bf |
| 1 |
>>> |
2 |
>>> |
3 |
| 3 |
<<< |
2 |
<<< |
1 |
And
if we
count
all keys within the cluster of 3 black keys we get also get 6 both
ways (1+2+3+4+5=15, then 1+5=6):
F#
G
G#/Af
A
Bf
1
2
3
4
5
5
4
3
2
1
If we count the black keys from the
ends of the
triatrium, we also get 6 (3+5+7=15, then 1+5=6):
| 1 |
2 |
3
|
4 | 5 |
6 |
7
|
8 |
9 |
| E |
F |
F# |
G |
G# |
A |
Bf |
B |
C |
| C |
B |
Bf |
A |
Af |
G |
Gf |
F |
E |
| 9 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
If
we count
the positions of the white keys from each end we get 3 both
ways (1+2+4+6+8+9=30). Since zero has no value, it is dropped, which is
the standard practice in esoteric numerology. (Zero is not a number.)
My usage of chronology ( F - F# - G etc) in the
above illustrations is for demonstration purposes only. I
need also to restate here that even my
usage of the 1-2-3 in the Triatrium does not denote a chronology
because in the spiritual realm there is no time. So we cannot look at
1-2-3 as steps horizontally (in sequence), but rather see them
vertically as one unified event (not eventS). Hence again
stressing that 3 is
unity.
It
has been said "If you want to understand the
secrets of the (exoteric) universe, then understand the secrets of
3-6-9." While
this is true, it is not the whole story. 3-6-9 cannot be
properly understood as such, but only as 3 groups of 3: 3 being the
head of the 1-2-3 group, 6 being the head of the 4-5-6 group, and 9
being the head of the 7-8-9 group. These three groups cannot be
properly understood except as a
three-fold process or aspects, and in this way the three numbers of
each group of 3 cannot be broken up. They are units of three as a
process,
yet
operate or function in conjunction with the three stage processes or
aspects of the other two groups of three. I use the term process or
stages here not in a sense of linear time, but more to illustrate that
they are integral to each other. 1+2+3 add to 6,
as does 4+5+6=15, then 1+5=6,
7+8+9=24, then 2+4=6.
Unfortunately 666 gets a bad name from misinformed Christian teaching,
The Revelation 13:18 in the King James says "Let him that hath
understanding count the number of the beast: for it is the number of a
man, and his number is six hundred threescore and six." 666 is the
number of man or mankind (anthropos), not "a" man. There is no
article
"a" found in the Greek (Textus Receptus), even tho it does
appear
in the
English. There is
nothing malevolant about 666. 666 is all thumbs up. Of the three
triplets: 333, 666, 999, the 333 and 999 consist of odd numbers but the
666 of even numbers. 666 can be divided in half with whole numbers, but
the 333 and 999 cannot. The same can be said for the attempt to divide
3, 6, or 9. Only the 6 can be divided, which lends to man being "caught
in the middle", with the spiritual realm on one side and the spiritual
realm on the other.
Of
the 1st of the groups of 3 (1-2-3), the numbers add 6, then of the 2d
group the
numbers add to 15 (6), then of the 3d group the numbers add to 24 (6).
There are five numbers that are being used in the equasions
that I have just mentioned: 1-2-4-5-6
(but no 3). They add to 9 (18: 1+8=9). Of the non present numbers:
3-7-8-9 they also add to 9
( 27: 2+7=9). It is interesting that both the 3 and 9 are not
found. Each sum is 9 apart: 6 is 9 away from 15, then 24 is
9 away from 15. The 3-6-9 is the EXoteric
understanding of numbers which applies to the material realm, wheras
the triatrium (3-3-3) is the ESoteric
understanding of numbers which applies to the spiritual realm. Both
systems are important. One
theoretical problem with exoteric numbers is that of neutralization, as
for example, if there are 5 apples on the table, there must also be 5
negative apples, and since these
cancel each other out, there are theoretically no apples on the
table. EXoteric
numerology is quantitative,
whereas ESoteric
numerology is qualitative.
Both are important and have their place.
One way I can illustrate the difference between quantitative and
qualitative is if we have 27 and one half apples on a table. An
EXoteric numerologist upon observation will say that there are
27.5 apples. But to an ESoterist there is the concept and aspects and
qualities of apple. There is no quanitity and whether there is 1 apple
or 27.5 apples is irrelevant to the fact that 1 or more apples
represents the essence, qualities, and aspects of apple. To an
ESoterist, there is no disctinction between single and more than 1
apple. Quantity does not exist in ESoterism.
3
- 3 - 3
We
can also look at numbers not as a chronology, but rather as the number
3 with
three aspects of each of the 3. Pythagoras was
wrong when he stated that 1 is the number of God and Unity. This
cannot
be because at the first stage of the 1-2-3 process there is nothing to
unify. 2 or more objects are needed to bring them together into a
unity. It is the 3 that is
the
unity, not the 1. In the spiritual realm, only 3 numbers exist, with
thee aspects of those 3
numbers.
| 3 |
||
| * |
* | * |
| *** | *** | *** |
In
the material
realm there is of necessity polarity, and this is because
everything is built upon hydrogen, which is a polarity
(one proton and one electron ... 2 parts). The reason why hydrogen
typifies the material realm is because all molecules, no matter how
complex, have one proton and one electron as there core. Nothing can be
reduced lower than hydrogen without disintegrating. 3 is typified by
Deuterium. Groups like the
Jehovah's Witnesses who teach that there
will be utopia on earth are failing to understand the
impossibility
of this idea because this material world must of necessity contain both
positive and negative, good and bad, otherwise it cannot exist in the
first place.
3 is the core of everything
In this article I am using the term God in a generic sense, not as defined in the OT or NT. I am using the term "God" here more in the sense of the power or force or energy or presence or whatever constitutes the good in the universe. This world was obviously created and cd not have happened by chance. For God to have all knowledge, God must experience all things. True knowledge comes from experience. So who is it that experiences all things? It is you and me, and everyone else who has ever lived or will live. By default then, it is you and me who are God. If a man is dying of thirst and you give him a jug of water, you have given him life and are in that sense are to him as God. You are his savior.
I have created an illustration to share my theory about the number 3. It is based on the ancient Egyptian understanding of Amun, who was an Egyptian deity who was considered to be the hidden part of God. Imagine a border, or bubble, or a protected area where Amun abides. Keep in mind that altho I am presenting this as a chronology, in the spiritual realm time does not exist. I am using some terms here that I invented to create this illustration:
|
The Need:
The need for
Knowledge, but this need as realized while inside the domain of Amun. The Idea: This is what The Need transitions to immediately after it breaks thru the area or realm of Amun The Expanse: This
is the vast area,
in fact all of the area outside of the realm of Amun. Amun realizing
that it
needs all nnowledge,
has a need to have this need fulfilled (The Need). The Need is not a
polarity, and in fact there is no polarity within the realm of Amun,
(in the spiritual realm) The
Need then penetrates the (imaginary) shell of Amun and
immediately on the other side of this shell The Need becomes a
polarity, and
transitions into The
Idea. Outside of the shell of Amun is The
Expanse which is latently a positive charge. The Expanse only
becomes positive
after The Idea
enters it. The Idea
can only be a negative
charge because it moves, and The
Expanse can only be a positive charge because it is
receiving and does not move. Just
as in human sexuality the male part moves but the female part does not.
This is why in all mythologies involving a sacred couple and a child,
the child is always male ... the male moves toward the female. Man: What The Idea becomes after a polarity is formed from The Idea. |
After The Idea and The Expanse have mated, man is produced, and it is man who experiences all things.
It
is simply
having an adequate vollume of
people who are able to experience all situations, both good and bad and
in between, in order for all knowledge to be obtained. Then after The Need has been
satisfied and The Idea
has run its course and
finished the job, it is time to return to the realm of Amun with this
Knowledge. The Idea
transitions into The
Knowledge
after it has completed its task. Then after The Knowledge
(formerly The Idea)
penetrates thru (back
into) the realm of Amun and leaves The
Expanse, then The
Expanse
ceases to be a positive charge. A positive charge cannot exist without
the presence of a negative charge. The negative charge of The Idea ceases
after the shell of
Amun is penetrated and the need for Knowledge is fulfilled. This
illustration is intended to provide an insight into the significance of
the number 3 and that our very existence is based on it. Here is a
summary of the three stages:
1)
All Knowledge
is needed for God to be God. God is incomplete. This is 1, the starting
point, but not unity.
2) Man is created to aquire all knowledge (God becomes man). The number 2 here denotes a polarity.
3)
The Knowledge
is obtained, and now the cycle is completed. This is The Fulfillment.
This is the unity
of the
number 3. God is complete.
*************************************************************************
Using
the model
of
| 1 | 2 |
3 |
| 123 |
456 |
789 |
The
aspects of 123 (in the first line: above, in bold
orange
font ... 1.
The
Need
leaving the realm of Amun),
2.
The
acquiring of The
Knowledge,
and 3.
The
return of The Knowledge
into
the realm of Amun.
For now I will focuss on group 2
which is
elaborated on by the 456 below it.
Again, this is the aquisition of The
Knowledge. 4 represents the Earth.
In ancient esoterism we find the 4 elements of Earth, Air, Water, Fire.
There are 4 suits in the Playing cards as well as in the Major Arcana.
What keeps man bound to this Earth? It is the need for the aquisition
of knowledge. 4 in a two dimensionsal form is a square. There are 4
directions: North,
East, West, South, which are
good directions of
travel for a news
reporter. 4
in a three dimensional form is a cube, which has 6 sides. (north, east,
west, south, up, down) 6 represents man
(anthropos). 5 is the middle number and so can represent
mediation,
moderation, or a bridge between two sides. 5 is the middle man who
aquires the Knowledge. Now you may say that I have just finished
explaining that man is represented by 6,and that now I am contradicting
myself, but I am not. Each of these three groups of threes (trium) are
just that: groups, and function as groups: a number within that group
cannot function (nor exist) without the other members of that group.
Each of the 3 numbers refers to that group so that 6 refers to the 6
group. The 5 is the middle number of that group, and is the bridge
between The Need
and The Fulfillment
of the task. Not
only is man in the middle between the 4 and 6, but the 6 trium is in
the middle between the 3 and 9 trium.
Everything
has as its basis number, and It has been said that music is number in
time, geometry is number in space, and astrology is number in space and
time.
The 7-8-9:
In many various myths we find the 7 and 12 with the 7 planets
(sometimes
including the which is not a planet, and including or
excluding the
moon. The 7 in mythologies varies
in its constituents of 7 planets which may or may not include the moon,
or sun (not a planet). The 8 laid on its side represents a
repeating cycle, as in an octave culminating on the 8th key can lead to
the start another octave. The same is true for the diminished 7th
minor chord which (using 4 minor 3ds) ends on the note one octave hight
or lower.
We
have the 12 constellations of the zodiac, but how what does 12 have to
do with the 7-8-9? 12 is not 9. So what is the solution? Enter the
tetragrammaton. The tetragrammaton
is the YHVH (Yod-Heh-Vav-Heh) which is one of the sacred Hebrew names
for God. Actually the Hebrew sacred name of God is not Hebrew in
origin, nor
is the Hebrew language Hebrew, but that is another subject.
The tetragrammaton
is a mathematical formula, and hidden within this formula is the code
for properly appying the formula. The tetragrammaton
helps us to understand the Major Arcana (or Trump cards) of the Tarot.
The YHVH properly understood and applied leaves us with 9, not 12. In
music we have 9 intervals even tho
there are 12 notes. This is the proportion of 3/4 and helps us to
understand some of the greatest mysteries of music including the
diminished 7th minor chord which has four minor 3ds, but one of those
falls off to the wayside and we are remaining with 3 minor 3ds (3
groups of 3). When a woman is pregnant her gestation period is 9
months, even tho there are 12 months in the year. Likewise 3
constellations simply fall to the wayside as they are not needed. In
mythologies involving the 7 "planets" and 12 constellations, there can
be an implied sense of movement ascending thru them, and sometimes this
includes the teaching of reincarnation (which I do not agree with).
However the idea of movement does correspond to my theory of the return
back to Amun. We can only break thru the repeating cycle of the
8 and
getting past Chronos
(represented
by Saturn) by obtaining the Knowledge. (8 is also classified under the division
category, being a multiple of 2 and an even number) In music we have
the diminished 7th minor chord which contains four minor 3ds, one of
these falls by the wayside, which corresponds to the distance between
the relative major and minor, and is the location of the entry point of The Idea into this
earthly abode
and also the exit point of The
Knowledge
from this Earthly abode. This narrow band of possible entry and exit
points is contained in what I came to call The Red Zone, which
corresponds to the 3 zodiacal houses that are not part of the 12
constellations. Here now I am using
the number 9 within the 9 group in the context of the red zone to
relate its significance to the "trip" that The Knowledge
makes back into the realm of Amun. Getting back to the diminished 7th
minor chord, if it were to remain with four minor 3ds, it wd span 1
octave which is 8 white keys, which comes back to the number 8, from
where we can repeat another chord (cycle), and according to the formula
of the tetragrammaton, another chord WILL start on the octave. (unless
that cycle is broken, which is the key to unravelling the mystery of
the tetragrammaton.)
The second number of
each group of 3 (2 - 5 - 8) [which add to 6] are related to the other
second numbers in theme in
that 2 represents
division, 5 man (in the middle), and 8 being a division between the 7
and 9. Each
of these three numbers needs a resolution. The resolution can only be
obtained by the involvement of all three groups.
Now
let me return to the theme of 1 - 2 - 3, but this time as it
occurs in the first group of 3s. Up to now I have looked at the overall
concept of 1 - 2 - 3 as the overall concept encompassing all three
groups of 3, but now I want to look at the 1 - 2 - 3 in the first
group. I
have left this to the last to avoid confusion. Just as the third group
of 3
covers the return to Amun after the Knowledge was aquired, so the first
group of 3 is the coming to earth (or creation of earth). We can in one
sense also use the terms descent and ascent. The 1 in the first group
refers to The Need,
the 2
refers to The Idea,
and the 3 refers to the creation of man,
which is the spiritual need now manifest in a physical or human form
(subject to decay and death). This is the transition of form. We can
also say that the 1 is no polarity, the 2 is polarity, and the 3 is
polarity plus Knowledge, yet even this statement is not accurate
because the presence of The
knowledge
eliminates the polarity (after it has penetrated back into the realm of
Amun). Better said it is: 1: no polarity and no unity, 2: polarity, 3:
unity.
Likewise
the 7 - 8 - 9 is the "return trip". The reverse transitional process
is the point at which all Knowledge is aquired. The final stage (9) is
the re-enetring back into the realm of Amun, which is also
the end of polarity as a manifestation. The model that I used at the
start of this section:
| 1 |
2 |
3 |
| 123 |
456 |
789 |
| 1 |
2 |
3 |
| 123 |
123 |
123 |
The proper diagram wd be:
| * |
* |
* |
| *** |
*** |
*** |
Which does not denote a chronology nor a starting or ending point (which wd imply a chronology). The outside groups of 3 occurr outside of time, but the middle group occurs in time.
the concept of 3/4
The first level of the formula is that the second Heh doubles as the first Yod of the second YHVH, for example:
YHVH
YHVH
Y... (etc)
The final Heh of the Yod - Heh - Vav - Heh is not needed in the same way that the final 3 months of the year are not needed in the gestation period. The numerical value of the JHVH in Hebrew is 1-5-6-5, with the first three letters (J-H-V) adding to 12, then being reduced to 3 (1+2=3) whereas the full version of JHVH which numerically is 1-5-6-5 adds to 17 which reduces to 8, which when turned on its side (a figure 8) is the symbol for a repeating cycle. Yet the triatrium can only start on one specific key.
In one aspect at least, the Fool card, the 0 or 21st or 22d card, depending on what view you take on its position, (Manly Hall places it in a different location than does Waite) and the top almond blossom of the Menorah has a parallel function (at least in one aspect) to the chasm in the God Chord, yet they are different in other ways. Of the 22 cards of the Major Arcana, after we apply the principles of the tetragrammaton, or at least my application of the tetragrammaton, we remain with 21, (2+1=3) in the same way that when my unique application of the tetragrammaton is applied to the Menorah, we are left with 21 almond blossoms, not 22. These reasons I will delve into later, but in short now, they have to do with the polarities that are involved. In this way numbers are directly connected with music, and the understanding of the diminished 7th minor chord.
Here are a few models that I developed for the Major Arcana, also known as the Trump cards. The blue is positive and the green negative. This "red zone" corresponds with the distance between the relative major and minor, which is also a minor 3d.
| 1 | 2 | 3 | 4 |
| 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 |
| 1 | 2 | 3 | |||||||||
| 4 | 5 | 6 | |||||||||
| 7 | 8 | 9 | |||||||||
| 7 | 8 | 9 | |||||||||
| 4 | 5 | 6 | |||||||||
| 1 | 2 | 3 | |||||||||
| 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 |
The above model parallels the Egyptian calendar of 36 decans (groups of 10 days), giving exactly 30 days per "month". The term month here is not actially appropriate because a month (moonth) is based on lunal cycles. Here, every cycle of the tetragrammaton in all cycles, (in one sense) has the second Heh missing to result (in effect) as YHVYHVYHVYHV
| 1st 9 decans | 2d 9 decans | 3d 9 decans | 4th 9 decans |
| YHV | YHV | YHV | YHV |
| 1st trimester | 2d trimester | 3d trimester | baby is out |
(Please note that the Egyptians used a 360 day calendar and labelled the extra 5 days (epigonomal) as bad luck and wd avoid certain activities on these days. There is also some ideas that originally there were only 360 days in a year, but at some point there was a cataclysm of some kind that altered this. Also there is no proof of this, to me it is a pluasable theory because what other explanation can there be for 360 degrees in a circle? The circle here can represent the horizon, and each of the 12 astrological houses is allotted 30 degrees on the horizon.)
The final set of 4 cards after the polarity of 9 is the 4th minor 3d of the diminished 7th minor chord, which has no polarity. Even this fourth group itself is also a group of 4 cards, or is it 3? I have left out the 0 from the above diagram to make the red zones show properly, but the card layout shd look like this (to have the 22 cards).
| ........................... | ................... | The Red Zone |
| 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 0 |
| 1 | 2 | 3 | ||||||||||
| 4 | 5 | 6 | ||||||||||
| 7 | 8 | 9 | ||||||||||
| 1 or 19 |
2 or 20 |
3 or 21 |
0 | |||||||||
| 7 | 8 | 9 | ||||||||||
| 4 | 5 | 6 | ||||||||||
| 1 | 2 | 3 | ||||||||||
| 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 1 | 2 | 3 | 0 |
Notice that the 4th placeholder (the 0) is not in the red zone, and notice also that the final 1-2-3 are not a polarity. We have transitioned from the material realm to the spiritual realm. A red zone cannot exist without being preceded by a polarity. These 3 are in the red zone in the two diagrams that preceded this last one, but that was because they were being viewed from the eyes of the material realm. But these last three are denoting the viewpoint as is seen from the spiritual realm, hence there is no red zone for the 0. Compare the above diagrams to those of the Menorah. Since only 3 numbers exist, (in esoteric numerology) a 4th zone is a phantom zone because 4 cannot exist. 4 is also a doubling of 2 and all even numbers are representing division because all can be divided, but odd numbers cannot. So since 3 cannot be divided, all ends at 3. There ain't no more.
The Menorah
In the Menorah there are 6 (not 7) almond blossoms on each of the three branches (totalling18) with one lone blossom at the top of the stem , the stem having 4 blossoms, totalling 22. Of interest to me here is the 4th or top almond blossom that is in the red zone.
| (4th) | ||||||
| 1 | 2 | 3 | 3d | 1 | 2 | 3 |
| 1 | 2 | 3 | 2d | 1 | 2 | 3 |
| 1 | 2 | 3 | 1st | 1 | 2 | 3 |
If the polarities are no more, and exluding the red zone, we have 3 groups of 3's:
| 1 | 2 | 3 |
| 1 | 2 | 3 |
| 1 | 2 | 3 |
There are a total of 22 almond replications: 6 on each of the three branches (three on each side of a branch), and 4 on the candlestick (stem or trunk) itself. 6 X 3 + 4 = 22. The vertical stem or trunk of four blossoms (or at least three of these blossoms) permeate the three (horizontal) septenaries. The 4th almond blossom is not on a branch, is not part of a branch. A branch parallels each of the 3 YHVH's of the Trumps in that each side of the branches is positive or negative, wheras the blossoms of the stem are not any polarity. The blossoms on the stem are seemingly found on or amoung the branches, but the 4th is not a part of any branch, and since all blossoms on te sytem are on the stem, they cannot be a part of any of the 3 branches, paralleling the Tumps.
Not only are there 22 almond blossoms but there are also 21 spaces between the blossoms: 6 on each branch, and 3 on the stem. (It would be impossible to get 21 spaces if the 4 blossoms on the stem were not also on the branches). Likewise if we arrange the major arcana in a linear manner we also get 21 spaces. But if we arrange the trumps in a circle we have 22 spaces. Here are diagrams of the menorah as a battery
key signatures
There are practically only 12 key signatures, and 24 keys (12 polarities of major and minor) not 15 key signatures as we have been told in music school. I will use C as the starting point because it utilizes the signature of no sharps or flats.
|
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
|
C |
C#/Df |
D |
D#/Ef |
E |
F |
F#/Gf |
G |
G#/Af |
A |
A#/Gf |
B |
The previous chart represents the numerical sequence starting with C, but it does not accurately portray the accidentals (or as someone has stated it as "incidentals) Here is a more accurate numbering of the first 9 key signatures:
|
A- |
F+ |
Bf+ |
Ef+ |
Af+ |
|
|
f |
ff |
fff |
ffff |
|
0 |
1 1 |
2 2 |
3 3 |
4 4 |
|
|
# |
## |
### |
#### |
|
C+ |
G+ E- |
D+ B- |
A+ F#- |
E+ C#- |
Here there are 4 key signatures governing 9 keys. No sharps and flats as in the keys of A minor / C major not a polarity. Mathematically then there can only be 9 keys on this chart because there are 4 positive numbers and 4 negative numbers, and a zero, which is not a number, and its function here is that of a placeholder. Since music is a manifestation of number, the derivative cannot exceed the derivator. Here is the above chart (appearing below) in the layout of purely chronological sequence of the key signatures.
I
will now deal with the
remaining key signatures (other than the 0) so that it becomes evident
why the first set of key signatures 1 thru 9 (0 thru 4) need to be
treated differently than the later ones (10-11-12).
The next one (the 10th signature) which is 5 flats and 5 sharps have
dual possible key signatures so that they are different from the
previous 4 which had no alternative enharmonic signature. 5 flats is
enharmonically the same key as 7 sharps, and 5 sharps is enharmonically
the same as 7 flats. It is also interesting that the 6 is in between
the
5's and 7's. Two of similar or the same character or function on either
side, but the middle being of a different character and function, akin
in a way to the Deuterium molecule.
|
12 |
12 |
12 |
| Cf+/Af- |
Ef-/Gf+ |
D-+/Bf- |
| 7 flats | 6 flats | 5 flats |
| 5 sharps | 6 sharps | 7 sharps |
| B+/G#- | F#+/D#- | C#+/A#- |
|
C+/A- |
G+/E- |
F+/D- |
D+/E- |
Bf+/G- |
A+/F#- |
Ef+/C- |
E+/C#- |
Af+/F- |
B+/G#- |
Df+/Bf- |
F#+/D#- |
Gf+/Ef- |
C#+/A#- |
Af-/Cf+ |
|
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
|
0 |
1# |
1f |
2# |
2f |
3# |
3f |
4# |
4f |
5# |
5f |
6# |
6f |
7# |
7f |
In the above diagram: there are 5 key signatures and 9 keys from no sharps or flats to 4 sharps and 4 flats, then another set of 3 keys from 6 key signatures starting with 5 sharps and 5 flats. 9+6=15 which reduces to 6. The entire conventional system is based on polarity. Notice that there are pairs of keys, even for when there are no flats or sharps to designate polarity. Hence we have polarity within the polarity. For example: A- and C+ are a polarity, yet there are no sharps or flats in the key signature, so that the major and minors (A and C) are a polarity, but their key signature is not a polarity. All intervals in music along with their reciprocals must total 9, yet the only three reciprocal key signatures are the final three. Here is yet another example of the pattern that I discovered of the ratio of 3/4, with the final 3 being like the last 3 cards of the Trumps.
Because two key signatures of 5/7 have one redundant key signature, whether you choose 7 sharps and 7 flats, or 5 sharps and 5 flats. So logically then we cd exclude 3 key signatures: one of the two pairing of 7 and 5, and one of the 6 sharps or flats, which totals 3. Soundwise there is no difference: it is only on paper.
333 Hz
For
the
purpose of my theory in this section, please forget everything you know
about the keyboard and conventional tuning pitches and the application
of the keyboard to music as we have been tot in music school. Start
with a clean sheet. Look at the keyboard and the frequency of
333
Hz now in a fresh way and
lay aside all previous held understandings about music. This
is
a different paradym here.
Given
the significance of the 333, it is reasonable to project that there
must be an importance to the frequency of 333 Hz. And if this is the
case, then there is also a significance to the wavelength of this
frequency. The frequency and wavelength are inverse of each other, then
at some point there is a magical
crossing point. This wavelength cannot be measured in feet, inches, or
centimeteres, as these are arbitrary units of measure, and as the
numbers are important, there is therefor no numerical correlation
(esoterically)
between the frequency and wavelength if we are
using centimeters/inches, meters/feet) to measure the
wavelength. So then what, if
any,
unit of
measure can be used to properly measure the wavelength? One option is
to use the
wavelength of 333 Hz as the new standard measure of the wavelength (not
a
new standard of a tuning pitch) which becomes a unit of one wavelength
measure. I am proposing that the
wavelength of 333 Hz become the new and standard wavelength unit (in
the esoteric
understanding of music or sound), then
frequencies above or below this are based on this unit. In the
previous diagram:
| 3 |
||
| * |
* | * |
| *** | *** | *** |
the
bottom row shows 3 groups of 3's typifying 333 Hz. Then in the middle
row we have three single
asterixes, which when added together total 3. When we take 333 and
divide it by 3 we get 111, or 3 singles (like the 3 asterixes). The
three 1's when added total 3, which is what is found in the top line.
Someone may argue that I am trying to force a fit here using 333 Hz in
that three hundred and thirthy three is using the base 10 system
which
is not a multiple of 3, yet the "base 10" system is really the base 9
system in disguise.
Ten
represents sex. In sacred geometry a
line is masculine and a curve is feminine. The “1”
is a line and the “0” is a curve. But they are not
touching so there is
no offspring. Look at the
on/off switch on your computer: it is a circle with a line penetrating
it. Now there is contact between them.
10
is sex is because since there are only 9
numbers, if we go to 10, we procreate a new
cycle of 1-9. 10
represents the vagina, which, when in its default position of being
closed, looks like a line, and it
becomes a circle when it is
open. The
sign on a pornographic store contains 3 X’s (sex - sex -
sex). The Roman numeral for 10 is X. We
sometimes see three crosses on churches. The cross is
like an X turned 45 degrees.
Sex occurs
between sets of
nine numbers. Men have 9 holes in their bodies while
women have 10. The 10th hole is for procreation and
birthing.
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
||
| 1 |
2 |
3 |
1 | 2 | 3 | 1 |
2 |
3 |
SEX | 1 | 2 |
3 |
1 |
2 |
3 |
1 |
2 |
3 |
SEX |
1 |
2 |
3 |
1 |
2 |
3 |
1 |
2 |
3 |
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
It is not a quantitative value that we are seeking here such as involving tens or hundreds, because only 3 numbers exist. Hence 3 hundred and thirty 3 is not on the radar screen, but rather the qualitativeness of 3, as no numbers exist beyond 3. It is rather how the 333 is derived, which has nothing to do with a quantity of 3 hundred and thirty 3 because this is EXoterism. So we are looking at 333 Hz not quantitatively as 3 hundred and thirty 3, but qualitatively as 3-3-3.
Much depth of meaning in the Triatrium is yet to be discovered. I am referring here to the interplay of the wavelengths/frequencies as well as the added significance of intervals and chords being played on different keys, as every interval and chord has different white/black relationships depending in which key it is played in. The combination of the foregoing creates a further entity. Sound creates. Your comments, insights, and questions are welcome.