Archive for Februar, 2011

I Ching Secrets 22. 02. to 15. 03. 2011: Numbers that bring power and good luck! The decoding of the secret meaning of the natural numbers by the I Ching.

Samstag, Februar 19th, 2011

Numbers that bring power and good luck!

The decoding of the secret meaning of the natural numbers by the I Ching.

The 64 hexagrams of the I Ching pulsate in a 24er rhythm, as was shown in the weblogs before. A 24 rhythm is furthermore also basic to the tripartite division of natural numbers by Peter Plichta. I assumed therefore that the division of the ordinal numbers of the 64 hexagrams into three parts could perhaps be decisive for the order of the hexagrams in the I Ching.
The tripartite division of natural numbers described by Peter Plichta is explained in the following:
Mathematic books share the natural numbers 1, 2, 3, 4, 5 … into even and odd numbers. The natural numbers are such divided in the class of even (2, 4, 6, 8 …) and odd numbers (1, 3, 5, 7 …).
A further classification of the natural numbers is that of prime. A natural number n is prime if it is divisible only by itself and by 1. The number 1 is in the traditional mathematics regarded as a special case and is by definition not considered to be prime.
If a number is divisible by another, this means, that the division rises exactly and leaves no residue.
If the primes are defined in this way, then every natural number greater than 1, either is a prime or can be written as a product of primes in a unique way. Primes are therefore considered as the fundamental building blocks of natural numbers and compared with the elements in chemistry and the elementary particles in physics.

The three sets of numbers in which the natural numbers are divided according to the system of Plichta result in the following way:
The first group consists of
– the numbers that are divisible by three (3, 6, 9, 12, 15 …),
the second group of
– the numbers that are divisible by two, but not divisible by three are
(2, 4, 8, 10, 14, 16 …),
and the third group of
– the other numbers. They are mostly prime.
(1, 5, 7, 11, 13, 17, 19, 23, 25 (25 = square of the prime number 5), 29, 31, 35 (35 = product of primes 5 and 7), 37 …). After the system of Plichta number 1 is prime, but the numbers 2 and 3 are not prime, because they are the origin of the two other groups of numbers.
When you do this classification, it accounts for the 24 number line of interlocking 24er-circles:
8 straights are consisting of the numbers of the Prime group
8 straights are consisting of the numbers of the Group of two and
8 straights are consisting of the Group of three 

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One, Two and Three are the initial numbers of the three different groups of numbers, described by Peter Plichta. In ancient China was:

One the number of Heaven

Two the number of Earth and

Three the number of Man.

The three groups of numbers cover all natural numbers. For this reason, the ordinals of the hexagrams are assigned either to the group of numbers beginning with 1 or to the Heaven, to the group of numbers beginning with 2 or the Earth or to group of numbers beginning with 3 or Man. Not only the ordinals of the hexagrams, also the hexagrams themselves are assigned to Heaven, Earth or Man.

The hexagrams of the group, whose atomic numbers are derived from the One, which in particular is the leader of the „powerful“ prime numbers, are accordingly

the hexagrams of Heaven,

the hexagrams of the group, which derived their atomic numbers from the Two, are

the hexagrams of the Earth and

the hexagrams of the group, which derived their atomic numbers from the Three, are the hexagrams of Man.

Heaven, Earth and Man are the focus of the Chinese world view. They are interrelated with each other.

The number of hexagrams of Heaven and Man, is both 21, the number of hexagrams of the Earth 22.

The 21 hexagrams of Heaven, which derive their atomic numbers from 1, are the hexagrams

1,5,7,11,13,17,19,23,25,29,31,35,37,41,43,47,49,53,55,59 and 61

16 of them are prime numbers in the traditional sense.

25 and 49 are the squares of the primes 5 and 7. The hexagrams, assigned to them, are particularly powerful. They are with hexagram 1 (and their female partners) assigned to the beginning of spring and the beginning of the year.

The 22 hexagrams of Mother Earth, whose atomic numbers are derived from the 2, are the hexagrams

2,4,8,10,14,16,20,22,26,28,32,34,38,40,44,46,50,52,56,58,62 and 64

The 21 hexagrams of Man, whose atomic numbers are derive from the 3, are the hexagrams

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60 and 63

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The hexagrams with odd atomic numbers are male, those with even numbers are female. (Odd numbers were marked in ancient China by a white, even numbers by a black circle.)

All numbers, assigned to Heaven, are odd, more than 2/3 of them are prime numbers in the traditional sense. No other group of numbers could represent better the strength, activity and creativity of Heaven.

All hexagrams of Mother Earth are female.

Half of the hexagrams of Man are female and half of them male.

In the hexagrams of Heaven, the number of the trigram Heaven is represented above average. It consists of three Yang-lines.

The number of Yang-lines in total is 68, the number of Yin-lines 58. In the hexagrams of Earth Yin and Yang are almost balanced. Yin predominates with two lines. In the hexagrams of Man the number of Yin-lines is 67, the number of Yang-lines 59. Yin dominates with 8 lines.

In the I Ching the pairing of two hexagrams is of great importance.  A hexagram with an odd atomic number is connected with the hexagram of the next even number as a pair. A hexagram with an odd atomic number is male, a hexagram with an even atomic number female. The female hexagram is produced from the previous male by inversion.

Considering this pairing, the hexagrams of Heaven, Earth and Man, as defined above, are shared each into two groups that differ in that they have partners from two different groups. By connecting these hexagrams with their partners, you get three Pairs of Groups

In the first Pair Group the (male) hexagrams of Heaven with atomic numbers of the form 6n + 1 combine with the (female) hexagrams of Mother Earth with atomic numbers of the form 6n + 2 with n = 0, 1, 2, 3, … 10

These (male) hexagrams of Heaven have in total 41 Yang- and 25 Yin-lines. The ratio 41/25 = 1.64. Yang dominates with 16 lines. Their female counterparts are balanced in Yin and Yang..

Here, the Sons of Heaven, vast in Yang, are connected with Daughters of the Earth.

These pairs of hexagrams belong to the Pair Group Heaven / Earth, as I call them.

Surprisingly, it turns out that the omen of the 22 hexagrams is mostly positive.

The 11 pairs of hexagrams of the Pair-Group Heaven / Earth are linked to the Beginnings of the Seasons and to the creative forces of the cosmos.

All hexagrams are of mainly positve Omen. The same applies to the atomic numbers of the hexagrams. The reason for this is shown in a later blog.

In the second Pair Group the (male) hexagrams of Heaven with atomic numbers of the form 6n – 1 are connected with the female hexagrams of Man with atomic numbers of the form 6n with n = 1, 2, 3, … 10.

In these hexagrams of Heaven the number of Yin-lines is 33 the number of Yang-lines 27. The ratio of Yang to Yin is 27/33 = 0.82. This is half of 1.64, the ratio of Yang to Yin of the Sons of Heaven in the Pair Group Heaven / Earth. The yin stressed Sons of Heaven „marry“ the daughters of Man.

I call the group, they form, the Pair Group Heaven / Man.

The 10 pairs of hexagrams of the Pair-Group Heaven / Man are linked to the Ends of the Seasons and to the cosmic forces of dissolution and decay.

Half of the hexagrams, namely 10, are of predominantly negative Omen.

Since the omens of half of the hexagrams in the Pair Group Heaven / Man are predominantly negative, they form a contrast to the predominantly positive hexagrams of the Pair Group Heaven / Earth. The Pair Group Heaven / Earth corresponds to the life-giving hand of Heaven and Earth, the Pair Group Heaven / Man in contrast, is the firm hand of Heaven (and Man).

In the third Pair Group, finally, the male hexagrams of Man with atomic numbers of the form

6n + 3 are connected with the (female) hexagrams of Mother Earth with atomic numbers of the form 6n +4 with n = 0, 1, 2, 3, … 10.

In the male hexagrams of Man the number of Yin-lines is 36, the number of Yang-lines 30. The ratio of Yin to Yang 30/36 = 0.833333 …, after the 8  again and again comes the 3, the number of Man. Coincidence?

The Sons of Man are connected, like the Sons of the gifts-giving hand of Heaven with Daughters of the Earth.

I call the group, they form, the Pair Group Man / Earth.

The 11 pairs of hexagrams of the Pair-Group Man / Earth are linked to the Equinoxes and Solstices and to the sustaining forces of the cosmos. Most of the hexagrams are of mainly positive Omen.

The hexagrams of this Pair Group in relation to  predominantly favorable or unfavorable omens, take a middle position. The hexagrams lean however more to the Pair Group Heaven / Earth than to the Pair Group Heaven / Man. In both Pair Groups the female hexagrams are Daughters of Mother Earth and therefore sisters.

The names of the hexagrams of the Pair-Group Heaven / Earth that correspond to the life-giving hand of Heaven and Earth

 

1 The Creative – The Creative works sublime success.

2 The Receptive – The Receptive brings about sublime success.

7 The Army – Good fortune without blame.

8 Holding Together (Union) – Whether you possess sublimity,         constancy, and perseverance; then there is no blame.

13 Fellowship with Men

14 Possession in Great Measure – Supreme success.

19 Approach – Approach has supreme success.

20 Contemplation (View)

25 Innocence (The Unexpected) – Supreme success.

26 The Taming Power of the Great

31 Influence

32 Duration

37 The Family (The Clan)

38 Opposition – In small matters, good fortune.

43 Break-through (Resoluteness)

44 Coming to Meet

49 Revolution (Molting) – Supreme success.

50 The Caldron – Supreme good fortune. Success.

55 Abundance (Fullness)

56 The Wanderer – Success through smallness. Perseverance brings good fortune.

61 Inner Truth

62 Preponderance of the Small

The names of the hexagrams of the Pair Group Heaven / Man, the firm hand of Heaven  (and Man). Half of the hexagrams are of negative omen.

5 Waiting (Nourishment)

6 Conflict – Heaven and water go their opposite ways, the image of Conflict.

11 Peace – Good fortune. Success.

12 Standstill (Stagnation) – Heaven and earth do not unite: the image of Standstill.

17 Following – Following has supreme success.

18 Work on What Has Been Spoiled (Decay) – The wind blows low on the mountain: the image of decay.

23 Splitting apart – It does not further one to go anywhere.

24 Return (The turning point) – Return. Success.

29 The Abysmal (Water) – Repetition of danger.

30 The Clinging, Fire

35 Progress – The sun rises over the earth: the image of Progress.

36 Darkening of the Light – The light has sunk into the earth: the image of Darkening of the Light.

41 Decrease – At the foot of the mountain, the lake: the image of Decrease.

42 Increase – Wind and thunder: the image of Increase

47 Oppression (Exhaustion) – There is no water in the lake: the image of exhaustion.

48 The Well

53 Development (Gradual Progress) – Good fortune.

54 The Marrying Maiden – Undertakings bring misfortune.

59 Dispersion (Dissolution)

60 Limitation

Da Liu speaks in his book about the I Ching of four predominantly strong negative hexagrams,
namely, the hexagrams
23) Splitting apart

47) Oppression (Exhaustion),
29) The Abysmal, water, and

39) Obstruction.
Of these, three belong to the Pair Group Heaven / Man and the
last (Hex 39) to the Pair Group Man / Earth.
The Pair Group Heaven / Earth contains none of them. The hexagrams of the Pair Group Heaven / Earth are predominantly of positive omen, as already their names reveale. The same is the case for their ordinals, as will be shown later.

Names of the hexagrams and description after Richard Wilhelm.

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Christine Lehmann – Weg der Bilder (christinelehmann.eu)