Clarity,
Office 17622,
PO Box 6945,
London.
W1A 6US
United Kingdom
Phone/ Voicemail:
+44 (0)20 3287 3053 (UK)
+1 (561) 459-4758 (US).
▄▄ ▄▄ 0
▄▄▄▄▄▄ 1
▄▄ ▄▄ 0
▄▄▄▄▄▄ 1
▄▄▄▄▄▄ 1
▄▄ ▄▄ 0
▄▄ ▄▄ 1
▄▄▄▄▄▄ 0
▄▄ ▄▄ 1
▄▄▄▄▄▄ 0
▄▄▄▄▄▄ 0
▄▄ ▄▄ 1
When writing 6-digit binary numbers you always write the big digit first, so the bottom line would be 32.
One, being odd, has to be Yang.
But if the Chinese wrote from top to bottom, then the top line would be written first.
That hardly synchs up with the text calling the top line 'top' and the bottom "first" now does it?
If you have already made up your mind to go in this direction, then you will have to find a way to ignore Shao Yong's diagrams as well.
May I ask what is the key benefits for assigning binary figures?
Music metaphor was a good one. Could you post the free download link again? It seems to disappear from my web page display...
Apparently Shao Yong did not explain his square arrangement in writing. The hexagrams are systematically arranged. My guess is that Shao took Qian as the first item and Kun as the last, so in binary interpretation, is it 63 to 0 or 0 to 63? I prefer 0 to 63. I am influenced by similar number patterns in the taixuanjing.
▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄
▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄
▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄ ▄▄
▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄
▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄ ▄▄ ▄▄ ▄▄
▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ▄▄▄▄▄▄ ... ▄▄ ▄▄ ▄▄ ▄▄
Shao's hexagram sequence is just the 64 possible words of length 6, placed in an ordinary alphabetical order.
However, so far as I know, alphabetical order did not exist in ancient China. The square arrangement could have been produced by trigrams, using the Later Heaven number sequence.
I think it's the Earlier Heaven sequence that shows up in the trigrams in Shao's square
Isn't Shao's circular arrangement of hexagrams evidence that he was thinking in terms of the Earlier Heaven arrangement of trigrams?
Shao is described as a "latter-day exponent" of this Diagram, which it says preceded him by centuries, possibly going as far back as the 1st century BCE.
the Diagram is not a number system
Of course. The ancient Chinese never added, subtracted, multiplied, or divided by using the hexagrams as binary numbers, but that isn't to say that the hexagrams cannot be advantageously used as binary numbers. William Horden's idea (as I understand it) is that by using the hexagrams as binary numbers patterns are revealed that disclose the mystical depths of the Yi.
Clarity,
Office 17622,
PO Box 6945,
London.
W1A 6US
United Kingdom
Phone/ Voicemail:
+44 (0)20 3287 3053 (UK)
+1 (561) 459-4758 (US).