« That Sister, What a Bitch! (Lou Salomé - Part III) | Main | The Chronic »

January 13, 2005

No Blame.

Full results (machine-processed, but programmed by me so it still might be wrong ;)) of the yarrow-stalk I Ching, ordered by probability (and secondarily by value*). (Meanwhile please note that my original post had several errors, but the point still stands that the two 'poles' of K'un and Ch'ien are statistically separated by an order of magnitude when using the yarrow stalks, whereas using the coins they would have exactly the same probability of turning up. Hence I would suggest the use of coins has to be regarded as an degraded mode of access to the I Ching that gives the false impression of the absence of internal systemic bias or difference.)
* By "value" I mean the hexagrams' binary value as per Leibniz. The asymmetrical probability of obtaining yin or yang lines has as its consequence a rather nice asymmetrical clustering of the probabilities of these binary values occurring:

{63}
hexagrams with only broken lines 		117649 /
16777216
{62,61,59,55,47,31}
hexagrams with one whole line		84035 /
16777216
{60,58,57,54,53,51,46,45,43,39,30,29,27,23,15}
hexagrams with two whole lines 		60025 /
16777216
{56,52,50,49,44,42,41,38,37,35,28,26,25,22,21,19,14,13,11,7}
hexagrams with three broken, three whole lines 		42875 /
16777216
{48,40,36,34,33,24,20,18,17,12,10,9,6,5,3}
hexagrams with two broken lines 		30625 /
16777216
{32,16,8,4,2,1}
hexagrams with one broken line 		21875 /
16777216
{0}
hexagrams with only whole lines 		15625 /
16777216

The same clustering applied to the hexagram's order numbers in the book:
{2}
{24,7,15,16,8,23}
{19,36,46,51,40,62,3,29,39,45,27,4,52,35,20}
{11,54,55,32,60,63,48,17,47,51,41,22,18,21,64,56,42,59,53,12}
{34,5,58,49,28,26,38,30,50,61,37,57,25,28,33}
{43,14,9,10,13,44}
{1}
HexagramNameBinary ValueOrderProbability
___    ___
___    ___
___    ___
___    ___
___    ___
___    ___
 K'un (The Receptive)632117649/16777216
(approx 1/142)
 
___    ___
___    ___
___    ___
___    ___
___    ___
________
 Fu (Returning)622484035/16777216
(approx 1/199)
 
___    ___
___    ___
___    ___
___    ___
________
___    ___
 Shih (The Army)61784035/16777216
(approx 1/199)
 
___    ___
___    ___
___    ___
________
___    ___
___    ___
 Ch'ien (Modesty)591584035/16777216
(approx 1/199)
 
___    ___
___    ___
________
___    ___
___    ___
___    ___
 Yu (Harmony)551684035/16777216
(approx 1/199)
 
___    ___
________
___    ___
___    ___
___    ___
___    ___
 Pi (Union)47884035/16777216
(approx 1/199)
 
________
___    ___
___    ___
___    ___
___    ___
___    ___
 Po (Falling Apart)312384035/16777216
(approx 1/199)
 
___    ___
___    ___
___    ___
___    ___
________
________
 Lin (Approach)601960025/16777216
(approx 1/279)
 
___    ___
___    ___
___    ___
________
___    ___
________
 Ming I (Darkening of the Light)583660025/16777216
(approx 1/279)
 
___    ___
___    ___
___    ___
________
________
___    ___
 Sheng (Ascending)574660025/16777216
(approx 1/279)
 
___    ___
___    ___
________
___    ___
___    ___
________
 Chen (Thunder)545160025/16777216
(approx 1/279)
 
___    ___
___    ___
________
___    ___
________
___    ___
 Hsieh (Removing Obstacles)534060025/16777216
(approx 1/279)
 
___    ___
___    ___
________
________
___    ___
___    ___
 Hsiao Kuo (Small Excesses)516260025/16777216
(approx 1/279)
 
___    ___
________
___    ___
___    ___
___    ___
________
 Chun (Initial Difficulty)46360025/16777216
(approx 1/279)
 
___    ___
________
___    ___
___    ___
________
___    ___
 K'an (The Perilous Pit)452960025/16777216
(approx 1/279)
 
___    ___
________
___    ___
________
___    ___
___    ___
 Chien (Arresting Movement)433960025/16777216
(approx 1/279)
 
___    ___
________
________
___    ___
___    ___
___    ___
 Ts'ui (Gathering Together)394560025/16777216
(approx 1/279)
 
________
___    ___
___    ___
___    ___
___    ___
________
 I (Nourishment)302760025/16777216
(approx 1/279)
 
________
___    ___
___    ___
___    ___
________
___    ___
 Meng (Youthful Inexperience)29460025/16777216
(approx 1/279)
 
________
___    ___
___    ___
________
___    ___
___    ___
 Ken (Mountain)275260025/16777216
(approx 1/279)
 
________
___    ___
________
___    ___
___    ___
___    ___
 Chin (Progress)233560025/16777216
(approx 1/279)
 
________
________
___    ___
___    ___
___    ___
___    ___
 Kuan (Contempation)152060025/16777216
(approx 1/279)
 
___    ___
___    ___
___    ___
________
________
________
 T'ai (Peace)561142875/16777216
(approx 1/391)
 
___    ___
___    ___
________
___    ___
________
________
 Kuei Mei (The Marrying Maiden)525442875/16777216
(approx 1/391)
 
___    ___
___    ___
________
________
___    ___
________
 Feng (Abundance)505542875/16777216
(approx 1/391)
 
___    ___
___    ___
________
________
________
___    ___
 Heng (Perseverance)493242875/16777216
(approx 1/391)
 
___    ___
________
___    ___
___    ___
________
________
 Chieh (Regulation)446042875/16777216
(approx 1/391)
 
___    ___
________
___    ___
________
___    ___
________
 Chi Chi (Completion)426342875/16777216
(approx 1/391)
 
___    ___
________
___    ___
________
________
___    ___
 Ching (A Well)414842875/16777216
(approx 1/391)
 
___    ___
________
________
___    ___
___    ___
________
 Sui (Following)381742875/16777216
(approx 1/391)
 
___    ___
________
________
___    ___
________
___    ___
 K'un (Oppression)374742875/16777216
(approx 1/391)
 
___    ___
________
________
________
___    ___
___    ___
 Hsien (Influence)355142875/16777216
(approx 1/391)
 
________
___    ___
___    ___
___    ___
________
________
 Sun (Decrease)284142875/16777216
(approx 1/391)
 
________
___    ___
___    ___
________
___    ___
________
 Pi (Adornment)262242875/16777216
(approx 1/391)
 
________
___    ___
___    ___
________
________
___    ___
 Ku (Arresting Decay)251842875/16777216
(approx 1/391)
 
________
___    ___
________
___    ___
___    ___
________
 Shih Ho (Biting Through)222142875/16777216
(approx 1/391)
 
________
___    ___
________
___    ___
________
___    ___
 Wei Chi (Before Completion)216442875/16777216
(approx 1/391)
 
________
___    ___
________
________
___    ___
___    ___
 Lu (Travelling Stranger)195642875/16777216
(approx 1/391)
 
________
________
___    ___
___    ___
___    ___
________
 I (Increase)144242875/16777216
(approx 1/391)
 
________
________
___    ___
___    ___
________
___    ___
 Huan (Dispersion)135942875/16777216
(approx 1/391)
 
________
________
___    ___
________
___    ___
___    ___
 Chien (Gradual Progress)115342875/16777216
(approx 1/391)
 
________
________
________
___    ___
___    ___
___    ___
 P'i (Stagnation)71242875/16777216
(approx 1/391)
 
___    ___
___    ___
________
________
________
________
 Ta Chuang (Power of the Great)483430625/16777216
(approx 1/547)
 
___    ___
________
___    ___
________
________
________
 Hsu (Waiting)40530625/16777216
(approx 1/547)
 
___    ___
________
________
___    ___
________
________
 Tui (Joy)365830625/16777216
(approx 1/547)
 
___    ___
________
________
________
___    ___
________
 Ko (Revolution)344930625/16777216
(approx 1/547)
 
___    ___
________
________
________
________
___    ___
 Ta Kuo (Excess)332830625/16777216
(approx 1/547)
 
________
___    ___
___    ___
________
________
________
 Ta Ch'u (The Great Taming Force)242630625/16777216
(approx 1/547)
 
________
___    ___
________
___    ___
________
________
 K'uei (Disunion)203830625/16777216
(approx 1/547)
 
________
___    ___
________
________
___    ___
________
 Li (Clinging)183030625/16777216
(approx 1/547)
 
________
___    ___
________
________
________
___    ___
 Ting (The Cauldron)175030625/16777216
(approx 1/547)
 
________
________
___    ___
___    ___
________
________
 Chung Fu (Inmost Sincerity)126130625/16777216
(approx 1/547)
 
________
________
___    ___
________
___    ___
________
 Chia Jen (The Family)103730625/16777216
(approx 1/547)
 
________
________
___    ___
________
________
___    ___
 Sun (Gentle Penetration)95730625/16777216
(approx 1/547)
 
________
________
________
___    ___
___    ___
________
 Wu Wang (Correctness)62530625/16777216
(approx 1/547)
 
________
________
________
___    ___
________
___    ___
 Sung (Conflict)52830625/16777216
(approx 1/547)
 
________
________
________
________
___    ___
___    ___
 Tun (Retreat)33330625/16777216
(approx 1/547)
 
___    ___
________
________
________
________
________
 Kuai (Removing Corruption)324321875/16777216
(approx 1/766)
 
________
___    ___
________
________
________
________
 Ta Yu (Great Possession)161421875/16777216
(approx 1/766)
 
________
________
___    ___
________
________
________
 Hsiao Ch'u (The Taming Force)8921875/16777216
(approx 1/766)
 
________
________
________
___    ___
________
________
 Lu (Treading Carefully)41021875/16777216
(approx 1/766)
 
________
________
________
________
___    ___
________
 T'ung Jen (Fellowship with Men)21321875/16777216
(approx 1/766)
 
________
________
________
________
________
___    ___
 Kou (Coming to Meet)14421875/16777216
(approx 1/766)
 
________
________
________
________
________
________
 Ch'ien (The Creative)0115625/16777216
(approx 1/1073)
 

Posted by undercurrent at January 13, 2005 09:00 PM

Comments