The Yellow Bell Generating the Eleven Pitches, with Cumulative Values and the Twelve-Palace Diagram

Pitches, Calendar, Hexagrams, and Lines

Yellow Bell Huangzhong: The foundational pitch of Chinese music, traditionally associated with the winter solstice.	Forest Bell Linzhong	Great Frame Taicu	Southern Pipe Nanlü	Old Purifier Guxi	Answering Bell Yingzhong	Luxuriant Vegetation Ruibin
Mid-Winter 11th Lunar Month; Jixing Star position	Late Summer 6th Lunar Month; Gonghuo	Early Spring 1st Lunar Month; Ziju	Mid-Autumn 8th Lunar Month; Shouxing	Late Spring 3rd Lunar Month; Daliang	Early Winter 10th Lunar Month; Ximu	Mid-Summer 5th Lunar Month; Chunshou
Return Fu Hexagram	Withdrawal Dun Hexagram	Peace Tai Hexagram	Viewing Guan Hexagram	Breakthrough Guai Hexagram	The Receptive Kun Hexagram	Coming to Meet Gou Hexagram
First Yang line; Of the Qian Hexagram; Separated by eight; Marries the 'Wei' branch	First Yin line; Of the Kun Hexagram; Returns to 'Chou'; Becomes the same	Second Yang line; Of the Qian Hexagram; Separated by eight; Marries the 'You' branch	Second Yin line; Of the Kun Hexagram; Returns to 'Mao'; Becomes the same	Third Yang line; Of the Qian Hexagram; Separated by eight; Marries the 'Hai' branch	Third Yin line; Of the Kun Hexagram; Returns to 'Si'; Becomes the same	Fourth Yang line; Of the Qian Hexagram; Separated by eight; Marries the 'Chou' branch

Zi The whole number base Chou Five Silks Yin Ten Whisps Mao Two Hairs Chen Two Colors Si Inch Wu Hundredth Wei Tenth Shen Thousandth You Ten-thousandth Xu Hundred-thousandth Hai Millionth These are traditional units of measurement used for the length of pitch pipes or strings, ranging from the 'Inch' down to microscopic 'Whisps' and 'Millionths'.


One Part Eighty-one parts
	Two-Six Fifty-four
		Eight Seventy-two
			Great Forty-eight
				Accumulated Sixty-four
					Three 2,123,313 2,132,153 1,864
						Eleven 515,45 2,168

The table above illustrates the "Sanfen Sunyi" (Subtracting and Adding One-Third) method. Starting with the number 81 (Yellow Bell), one subtracts a third to get 54, then adds a third to that result to get 72, and so on, to generate the mathematical ratios of the entire musical scale.