Originally rewritten by meek on 6 Sept 2003
=== Intro ===
An Earth Plate (Di Pan) is in a 360 degrees circle.
Keep halfing it until there are 8 equal Palaces of 45 degrees each.
Each Palace represents a direction and location: N, NE, E, SE, S, SW, W, NW.
Sub-divide each Palace (direction) into 3 equal Mountains of 15 degrees each.
Now there are 24 Mountains on the Earth Plate.
Counting clockwise, they are:
N1 N2 N3
NE1 NE2 NE3
E1 E2 E3
SE1 SE2 SE3
S1 S2 S3
SW1 SW2 SW3
W1 W2 W3
NW1 NW2 NW3
In every Palace, the 3 Mountains are called Yuan Gua: Earth, Heaven, Man (respectively clockwise).
Counting clockwise, the 8 Palaces with 3 Yuan Gua are formed:
N1 earth, N2 heaven, N3 man, NE1 earth, NE2 heaven, NE3 man, E1 earth, E2 heaven, E3 man, etc...
The 1st Mountain in every Palace is Earth Yuan Gua:
N1, NE1, E1, SE1, S1, SW1, W1, NW1
Houses that sit in this direction reap Fast Intelligent.
The 2nd Mountain in every Palace is Heaven Yuan Gua:
N2, NE2, E2, SE2, S2, SW2, W2, NW2
Houses that sit in this direction reap Firm High-Post / Position.
The 3rd Mountain in every Palace is Man Yuan Gua:
N3, NE3, E3, SE3, S3, SW3, W3, NW3
Houses that sit in this direction reap Long-term Wealth.
=== The Yin And The Yang ===
The Yin and Yang of the 24 Mountains has two sequences clockwise:
Yang Yin Yin
Yin Yang Yang
The sequence Yang Yin Yin is used for the 3 Mountains in the N E S W Palaces.
If you know the Luo Shu, they are the Palaces with Odd numbers.
N E S W = Odd Numbers = Yang Yin Yin
The sequence Yin Yang Yang is used for the 3 Mountains in the NE SE SW NW Palaces.
If you know the Luo Shu, they are the Palaces with Even Numbers.
NE SE SW NW = Even numbers = Yin Yang Yang
The clockwise sequences of Yin and Yang in the 24 Mountains' Yuan Gua are:
N1 yang earth, N2 yin heaven, N3 yin man
NE1 yin earth, NE2 yang heaven, NE3 yang man
E1 yang earth, E2 yin heaven, E3 yin man
SE1 yin earth, SE2 yang heaven, SE3 yang man
S1 yang earth, S2 yin heaven, S3 yin man
SW1 yin earth, SW2 yang heaven, SW3 yang man
W1 yang earth, W2 yin heaven, W3 yin man
NW1 yin earth, NW2 yang heaven, NW3 yang man
=== Substitution Chart ===
Divide a Yuan Gua into 3 zones, but not equally this time.
Let's give each zone a reference a b c (respectively clockwise):
zone-a = 4.5 degrees
zone-b = 6 degrees (middle zone - no need for Substitution Chart)
zone-c = 4.5 degrees
Each Palace will now have:
1a (1b) 1c, 2a (2b) 2c, 3a (3b) 3c,
Note that all (b)s use the normal Flying Star Chart. They do not need Substitution Chart.
In the S Palace it looks like this:
S1a yang earth (S1b yang earth) S1c yang earth, S2a yin heaven (S2b yin heaven) S2c yin heaven, S3a yin man (S3b yin man) S3c yin man,
=== Jian ===
Let's learn Mandarin!
According to my Chinese dictionary, I understand the word 'Jian1' as:
1. to take up more responsibility than required
2. to take in without considering the quality
I shall use the word 'receive' for the following section.
=== THE WORKING GUIDE ===
Take a look at this clockwise sequence:
(N1 yang earth, N2 yin heaven, N3 yin man) (NE1 yin earth, NE2 yang heaven, NE3 yang man) (E1 yang earth, E2 yin heaven, E3 yin man) etc ...
1. Group three Yuan Gua [man earth heaven] from the sequence:
(N1 yang earth, N2 yin heaven, N3 yin man) (NE1 yin earth, NE2 yang heaven, NE3 yang man) (E1 yang earth, E2 yin heaven, E3 yin man) etc...
Extracted view:
N3 yin man) (NE1 yin earth, NE2 yang heaven
The working guide is:
Earth Yuan Gua cannot 'receive' from either side, not counter-clockwise from man nor clockwise from heaven.
i) To receive counter-clockwise from man is considered 'Out of Gua' or 'Out of Palace', which refers to the 8 Palaces (Ba Gua = 8 Gua = 8 Palaces).
Looking at the extracted view, earth is in the NE Palace while man is in the N Palace.
ii) To receive clockwise from heaven is considered 'Error due to Yin Yang Difference'.
Looking at the extracted view, earth is Yin and heaven is Yang.
2. Group three Yuan Gua [earth heaven man] from the sequence:
(N1 yang earth, N2 yin heaven, N3 yin man) (NE1 yin earth, NE2 yang heaven, NE3 yang man) (E1 yang earth, E2 yin heaven, E3 yin man) etc...
Extracted view:
(NE1 yin earth, NE2 yang heaven, NE3 yang man)
The working guide is:
Heaven Yuan Gua can 'receive' from either side, counter-clockwise from earth or clockwise from man.
i) There is no problem of 'Out of Gua'.
Looking at the extracted view, both earth and man are in the same NE Palace with heaven.
ii) Heaven can receive from either Yin or Yang.
3. Group three yuan gua [heaven man earth] from the sequence:
(N1 yang earth, N2 yin heaven, N3 yin man) (NE1 yin earth, NE2 yang heaven, NE3 yang man) (E1 yang earth, E2 yin heaven, E3 yin man) etc...
Extracted view:
NE2 yang heaven, NE3 yang man) (E1 yang earth
The working guide is:
Man Yuan Gua can 'receive' counter-clockwise from Heaven, but cannot 'receive' clockwise from Earth.
i) To receive counter-clockwise from heaven, there is no problem of 'Out of Gua'.
Looking at the extracted view, heaven is in the same NE Palace as man, and they are both yang.
ii) To receive clockwise from earth is considered 'Out of Gua'.
Looking at the extracted view, man is in the NE Palace while earth is in the E Palace.
=== The Prediction ===
Houses that sit 'Out of Gua' = poverty.
Houses that sit within 'Error due to Yin Yang Difference' = fluctuating luck, dwellers cannot get along.
Houses that sit on the Borderline = disaster and sickness
=== Border Lines ===
The lines separating the 8 Palaces is called Da4 Kong4 Wang2 Xian4 (#) - Major Useless Dead Border.
The lines dividing a Palace into 3 Yuan Gua are called Kong4 Wang2 Xian4 (*) - Useless Dead Border.
If a house sits exactly on one of these border lines, it is not inside a Gua. Thus no charts can be calculated, auspiciousness cannot be predicted, Chi cannot be collected.
=== Final Note ===
Notice that the prediction for Border lines are different according to different books:
1. Disaster and sickness
2. If a house sits exactly on one of these border lines, it is not inside a Gua. Thus no charts can be calculated, auspiciousness cannot be predicted, Chi cannot be collected.
=== STRAIGHT TO THE POINT ===
Avoid the following 24 range of directions since they cannot use substitution charts:
N1a 337.5 - 342
N1c 348 - 352.5
N3c 18 - 22.5
NE1a 22.5 - 27
NE1c 33 - 37.5
NE3c 63 - 67.5
E1a 67.5 - 72
E1c 78 - 82.5
E3c 108 - 112.5
SE1a 112.5 - 117
SE1c 123 - 127.5
SE3c 153 - 157.5
S1a 157.5 - 162
S1c 168 - 172.5
S3c 198 - 202.5
SW1a 202.5 - 207
SW1c 213 - 217.5
SW3c 243 - 247.5
W1a 247.5 - 252
W1c 258 - 262.5
W3c 288 - 292.5
NW1a 292.5 - 297
NW1c 303 - 307.5
NW3c 333 - 337.5
Notice that in each of the 8 Palaces, it is all 1a 1c and 3c which cannot use substitution charts.
Thus all 2a, 2c and 3a can use substitution charts.
All 1b 2b 3b are to use normal charts.
=== Zone Division ===
The zone-division is the main entrance where Substitution Chart comes into the picture. So before I started to write this article, I had to find out how the amount of degrees in a zone is to be decided.
I have 4 books that mentioned Substitute charts, out of which I found two different illustrations. 2 books from Taiwan use 3, 9, 3 (for zone a, b, c respectively). 1 book from Hong Kong uses 4.5, 6, 4.5, and the last is Shen Shi Xuan Kong Jue.
Indeed it is from Shen Shi Xuan Kong Jue where I found the deciding-factor mentioned twice.
Under Xuan Kong Jing Yao, I read:
(1)... if exceed one two degree, no need to look for substitute,
(2) if exceed three four degree, shall use substitute star.
Now I ask myself: Where does it exceed FROM?
There are two possibilities:
1. From the border line between two Palaces
2. From the middle of the Palace (15 degrees divided into half = 7.5 degree from the border lines on both side).
Let's look at SE3 (142.5 - 157.5) and S1 (157.5 - 172.5) to test both possibilities.
SE3
a: 142.5 to ? (covers x degrees)
b: covers y degrees
c: ? to 157.5# (covers x degrees)
S1
a: 157.5# to ? (covers x degrees)
b: covers y degrees
c: ? to 172.5 (covers x degrees)
# is the border line between SE3 and S1 Palaces.
x+y+x=15 degrees (a Palace)
Let's establish that:
Zone b represents a covered range in the center of a Palace where Normal Chart is used.
Zones a and c represent a covered range that is close to the borderline, where we decide to use Substitution Chart.
=== Possibility 1 ======
1. From the border line between two Palaces.
Exercise (1)
Under Xuan Kong Jing Yao:
"(1)... if exceed one two degree, no need to look for substitute"
Lets try 'if exceed one degree'.
if x=1 degrees,
x+y+x = 15
1+y+1 = 15
y = 15-2 = 13
Now we have:
S1
a: 157.5 to 158.5 (covers 1 degrees) - "exceed 1 degree from the border line"
b: (covers 13 degrees)
c: 171.5 to 172.5 (covers 1 degrees) - "exceed 1 degree from the border line"
The result:
"(1)... if exceed one two degree (from the border line), no need to look for substitute"
We know this is not true because... The purpose for looking for Substitute is because the reading is close to the border line (in zone-a or zone-c).
Exercise (2)
Under Xuan Kong Jing Yao:
"(2) if exceed three four degree, shall use substitute star."
Lets try "if exceed three degree".
if x=3 degrees,
x+y+x = 15
3+y+3 = 15
y = 15-6 = 9
Now we have:
S1
a: 157.5 to 160.5 (covers 3 degrees)
b: 160.5 to 169.5 (covers 9 degrees) - exceed 3 degrees from the border line
c: 169.5 to 172.5 (covers 3 degrees)
The result:
"(2) if exceed three four degree (from the border line), shall use substitute star."
I understand this as 3 AND more, which puts the reading inside the range of 160.5 to 169.5 in zone-b.
Therefore Possibility 1 is not true because we are not looking for substitute when the reading is in zone-b.
=== Possibility 2 ====
2. From the middle of the Palace.
Exercise (1)
Under Xuan Kong Jing Yao:
"(1)... if exceed one two degree, no need to look for substitute"
Lets try "if exceed two degree".
The middle of the S1 Palace is 157.5+[(172.5-157.5)/2]= 165 in zone-b
From the middle of 165, adding 2 degrees counter-clockwise is 165-2= 163
From the middle of 165, adding 2 degrees clockwise is 165+2 =167
Now zone-b covers 4 degrees 163-167.
Now we have:
S1
a: (covers 5.5 degrees)
b: 163 to 167 (covers 4 degrees) - exceed 2 degrees both ways from the middle of the Palace
c: (covers 5.5 degrees)
The result:
"(1)... if exceed one two degree (from the middle of the Palace), no need to look for substitute"
Therefore Possibility 2 is true because we are not looking for Substitute when the reading is in zone-b.
Exercise (2)
Under Xuan Kong Jing Yao:
"(2) if exceed three four degree, shall use substitute star."
Lets try 'if exceed three degree'.
From the middle of 165, adding 3 degrees counter-clockwise is 165-3= 162
From the middle of 165, adding 3 degrees clockwise is 165+3 =168
'if exceed three four degree'
I understand this as 3 AND more, which puts 162 into zone-a and 168 into zone-b.
Now we have:
S1
a: 157.5 to 162 (covers 4.5 degrees)
b: (covers 6 degrees)
c: 168 to 172.5 (covers 4.5 degrees)
"(2) if exceed three four degree (from the middle of the Palace), shall use substitute star."
Therefore Possibility 2 is true because we are looking for Substitute when the reading exceeds zone-b, and is in zone-a or zone-c.
=== Conclusion ===
My deduction leads me to use 4.5, 6, 4.5.
In my article, I had written the reference in this way
S1
a: 157.5 to 162 (covers 4.5 degrees)
b: 162 to 168 (covers 6 degrees)
c: 168 to 172.5 (covers 4.5 degrees)
Now I think it's better to write it this way:
S1
a: 157.5 to 162 (covers 4.5 degrees)
b: area between a and c
c: 168 to 172.5 (covers 4.5 degrees)
In this case 162 definitely belongs to zone-a because it is 3 degrees from the middle of the Palace. Similarly, 168 definitely belongs to zone-c because it is 3 degrees from the middle of the Palace.
I can put it this way:
S1
a: 157.5 to 162 (covers 4.5 degrees)
b: 162.0000001 to 167.9999999 (covers 5.9999998 degrees)
c: 168 to 172.5 (covers 4.5 degrees)
Rounding it up to the nearest degree leads to this:
S1
a: 157.5 to 162 (covers 4.5 degrees)
b: 162.5 to 167.5 (covers 5 degrees)
c: 168 to 172.5 (covers 4.5 degrees)
total=14 degrees