(Diagram of One-third Increase and Decrease of Pitch)
Since Han Dynasty(206 B.C.—A.D.220)，temperament and calendar have had the same appellation in Chinese.They both have close ties with the knowledge of Yi.The study of temperament uses the Symbols and Numbers of hexagrams to indicate the law of increase and decrease of temperament.The 12-tone system in ancient music divided octave into 12 unequal half-tones，similar to the present 12 tones.In the 12 temperaments，the 6 linear signs of Qian represent 6 Yang temperaments whils the 6 linear signs of Kun represent 6 Yin temperaments.Yang and Yin temperaments are arranged sequentially from low to high pitch.Ancient Chinese used"one-third increase and decrease"to decide effectively the lengths of the 12-temperament pitch-pipes.
二十、律吕损益相生图
中国古乐分十二律，阳六律，阴六吕，以律管之长短定音调之高低。律吕管长呈“三分损益”关系，为计算之便，以乾坤爻象显阴阳。蔡邕《月令章句》云：“黄钟之宫(管)长九寸，孔径三分，围九分。其余皆稍短，但大小不减。”稍短之数依“三分损益”法计之。公式为：吕=律×(1-1/3)(三分损一)；律=吕×(1+1/3)(三分益一)；此乾坤爻象之妙用。
XX、mutual promotion diagram of temperament lncrease and oecrease
Chinese ancient had music half was Yin divided and into half 12 Yang tenperaments，which respectively.One determined high pithc and low pitch in accordance with the length of bamboo pipe.it had something to do with the relation of 3 fen increase and decrease.Bronze bell was 9inch long，lts aperture tree fen(0.33inch)，lts outer diametr 9 fen.the rest reduced slightly.Formular is Lū=temperament×(1-1/3)(3 fen deduced one fen)；Lù=temperament×(1+1/3)(3 fen increased one fen).that was just wonderful use of Qian-kun Yao"s symbds.
二一、洛书九宫八风图
《洛书》九宫，分四正四维。《易纬？乾凿度》配以后天八卦，表阴阳二气运行与八卦方位关系，谓“太一取其数以行九宫，四正四维皆合十五，”成九宫八卦图。益以四时八节，以表时令，构成东方时空模式。《内经？灵枢》以九宫配八风，成九宫八风图。术数家之奇门遁甲，兵家之九宫八阵，所用时空观，莫不相沿于此。
XXI、The luo writing 9 Gong"s(chambers)diagram
The luo writing 9 Gong"s(chambers)were divided into 4 directions and 4 corners and was fittedwith wen wang"s hexagram，indicating the relation between the movement of 2 kinds air of Yin、Yang and the points of the compass of Eight Trigrams.Formed 9 patterns of squares.in earlist divinatory numbers，4 directions addup 4 corners all are 15"s divinatory number，declaring the 4 seasons and the 8 periods，constituting an oriental time-space mode.and influencing doctors、experts who study divinatory numbers and militery strategist.
二二、三十六宫图
《易经》六十四卦，其卦象或相错，或相综，“二二相偶”。相错，二卦阴阳爻皆相反，卦体颖倒不变；相综，二卦之卦象适为同一卦体的颖倒。上经相错者六，乾、坤、颐、大过、坎、离；下经相错者二，中孚、小过。上经30卦，下经34卦，其卦体均为18，上下经合为三十六宫。此乃序卦“二二相偶，非复即变”的奥秘所在。
二二、36 Gong"s(chambers)diagram
Yi jin has 64 hexagrams，either stagger or upsidedown，which are all mutul spouses in couples.while Yin Yao and Yang Yao are opposite，they are regarded as mutual staggering.while up and down of Guo symbols are reversed，they are regarded as mutual upsidedown.so the former half part jin has 6 mutual staggering"s hexagram，the latter half part jin has 2 mutual staggering"s hexagrams.so there are 36 hexagrams respectively that are uprightdown in the former half part jin amd the latter half part jin.this is just the mystery of mutul spouse in couples，either are upsidedown or change.
二三、八宫卦次图
汉代京房创立的易卦系统结构，提出“八宫卦次”。64卦分属“八宫”，按乾、震、坎、艮；坤、巽、离、兑次序排列。每宫一个纯卦统七个变卦。变卦的方法即纯卦初爻变，则为一世卦；二爻变，称为二世卦；……五爻变，称为五世卦。五世卦之第四爻变回 本宫纯卦第四爻，称游魂卦；将游魂卦之下卦变回本宫纯卦的下卦，称归魂卦。此图式展示64卦之间有条紊的网络结构关系。
XXIII.Ba Gong Gua Ci Tu
"The sequence of hexagrams in eight chambers"was first proposed by Jing Fang in Han Dynasty.64 hexagrams belonged respectively to 8 chambers，which were arranged in the order of Qian，Zhen，Kan，Gen；Kun，Xun，Li，Dui.There was in each chamber a pure hexagram which led 7 changed hexagrams.The way in which changes took place was like this：when the first Yao in a pure hexagram changed，it was called the first generation hexagram；the second Yao changed，the second generation hexagram...the fifth Yao changed，the fifth generation hexagram.When the fourth Yao of the fifth generation hexagram changed back to the fourth Yao of the pure hexagram in the same chamber，it was called You Hun(wandering soul)hexagram，the lower trigram of which when changed back to that of the pure hexagram in the same chamber，it was called Gui Hun(returning soul)hexagram.This diagram shows the systematic network structure in the relationship of 64 hexagrams.
二四、五行相生相克合图
五行学说与阴阳学说，原本独立发展。汉人通过河图将五行与阴阳沟通，从而五行与八卦在许多易图中形影不离。五行按木、火、土、金、水顺序排成圆周，“比相生，间相克”。显示事物之间矛盾关系的多重性，成为一切事物普遍适用的整体结构模型。实为中国古代特有一种普通系统论图式。中国传统医学应用普遍。
XXIV.Diagram of Mutual Promotion and Restraint Between the 5 Elements
The doctrine of the five elements and that of Yin and Yang developed separately at first.People in Han Dynasty linked them up by means of He Map.Since then the five elements and hexagrams have been after each other like shadows.The five elements are arranged in a circle in the sequence of wood，fire，earth，metal and water；"Every adjoining one promotes and every other one restricts."It demonstrates the multiple nature of the contradiction between things，and it applies universally to the overall structure pattern of all things.Indeed，it is an ordinary systematological schematismbelonging exclusively to ancient China，and is widely used in traditional Chinese medicine.
二五、八卦干支二十四向图
时间，一日分24时；空间，八方分24向。时空统一而成24时、向图。图由12地支，8天干，后天八卦之4隅卦组成。以子、午为经，卯、酉为纬，重合后天八卦之四正卦以定四方，与8天干配，戊己归中央，不显于图。古人依此掌握太阳出没时辰，其歌云：“正九出乙入庚方，二八出兔（卯）入鸡（酉）场；三七发甲入辛地，四六出寅入戍藏；五月生艮归乾上，仲冬（十一月）出巽入坤方；惟有十月与十二，出辰入申仔细详。”
XXV.Diagram of Hexagrams，Gan Zhi and 24 Xiang
