历代尺度,皆本诸黄钟而损益不同。有以黄钟之长,均作九寸,而寸皆九分,此黄帝命
伶伦始造律之尺也,是名古律尺,又名纵黍尺。选中式之 黍,一黍之纵长,命为一分,九
分为一寸,九寸共八十一分,是为一尺。有以黄钟之长,均作十寸,而寸皆十分者,此舜同
律度量衡之尺,至夏后氏而未尝改,故名夏尺。传曰夏禹十寸为尺,盖指此尺也,又名古度
尺,又名横黍尺。选择中式之 黍,一黍之横广,命为一分,十分为一寸,十寸共计百分,是为
一尺。有以黄钟之长,均作四段,加出一段而为尺者,此商尺也。适当夏尺十二寸五分,传
曰成汤十二寸为尺,盖指此尺也。有以黄钟之长,均作五段,减去一段而为尺者,此周尺
也。适当夏尺八寸,传曰武王八寸为尺,盖指此尺也。有以黄钟之长,均作九寸,外加一寸
为尺,此汉尺也。唐尺即成汤尺,而唐人用之,故又名唐尺。宋尺即黄帝尺,而宋人用之,
故又名宋尺。上七代,尺共五种。纵黍之尺,黄帝尺也,宋尺也;横黍之尺,夏尺也;斜黍之
尺,汉尺也。互相考证,皆有补于律者。
蔡元定曰∶周家十寸、八寸皆为尺。以十寸之尺起度,则十尺为丈,十丈为引;以八寸
之尺起度,则八尺为寻,倍寻为常。说文曰∶十寸为尺,八寸为咫。然则尺之与咫,二器之
名也。今人但知八寸为咫,乃别是一物之名而非尺也。
礼记王制曰∶古者以周尺八尺为步,今以周尺六尺四寸为步。(礼记王制,撰自汉文时。郑世子
曰∶今以周尺,周字当作夏字。陈祥道曰∶六尺四寸者,十寸之尺也。十寸尺之六尺四寸,乃八寸尺
之八尺也。)小尔雅广度篇曰∶跬,一举足也,倍跬谓之步。(跬音傀。)司马法曰∶六尺为步。
郑世子曰∶按唐虞及夏后氏之制步也,皆以夏尺六尺为步。商以夏尺一尺二寸五分为
尺,故以五尺为步。周以夏尺八寸为尺,故以八尺为步。(置一尺二寸五分为实,五因,得六尺二寸五
分。置八寸为实,八因,得六尺四寸。然则商之一步,乃夏尺六尺二寸五分;周之一步,乃夏尺六
尺四寸也。)今工部收藏宝源局所铸量地铜尺,五尺为步。今之五尺,乃夏尺之六尺四寸,周之八尺也。以夏
尺八寸均作十寸,即周尺也,周尺最小。以夏尺一尺二寸五分均作十寸,即商尺也,商尺最
大,即今木匠所用曲尺也。盖自鲁班家传以至于唐,唐人谓之大尺,由唐至今用之,名曰今
尺,又名营造尺,盖此尺即殷汤尺也。去二寸,即夏禹之尺。夏禹之尺去二寸,即周武王之
尺。是今一曲尺,包括三代之制,不待累黍而自明矣。且夫黄帝至于舜禹,历世因仍,未尝
损益;惟殷周始改统易朔,而损益之道兴焉。故又因此以知黄帝针经孔穴,舜同律度量衡,
皆与夏尺同,而禹之身为度者,亦因夏尺而可想见也。
又曰∶岐伯云八尺之士,与周礼云人长八尺相符,则是上自黄帝,下至成周,数千年间,
人与尺度,未尝有异,此盖言魁伟丈夫之身,非众人之度也,故黄帝问于伯高曰众人之度长
七尺五寸是也,外台亦作七尺五寸,正与此同。梁陶弘景撰本草序录,一用累黍之法,孙思
邈从而用之,其书言尺则用夏家古尺,而又参诸司马法六尺为步以互证之,其立意之精,岂
寻常医家者所及?但孙氏云夏尺古尺,即江淮吴越所用八寸小尺是也,当唐尺八寸。唐会
要云∶唐高祖武德四年,行开元通宝钱,径八分,盖唐尺之八分也。夫一钱径八分,十钱径
八寸,即孙氏所谓夏家古尺之一尺也。开元钱今固有之,以钱考尺,则尺可知矣。近世医
家,取同身寸法,其说一出,无复考古,幸孙氏之方及唐会要可证耳。众人身度,当以黍尺
七尺五寸为准,其如曹交之长,九尺为有余,晏子之短,六尺为不足,二者折衷之,亦得七尺
五寸,故孔子荀子,皆谓七尺之体为中人之率,黍尺七尺五寸,盖今曲尺六尺也。素问、周
礼所谓八尺者,黍尺八尺,比今曲尺六尺四寸也,其伟人之度欤?故素有八尺及七尺五寸
二说。而庸俗弗晓古今尺度不同,乃谓古今人品有异,岂不谬哉?!
The measuring standards of all dynasties were based on the length of the Huangzhong (Yellow Bell, a standard pitch pipe used for calibration) but varied in their specific divisions. One method divided the length of the Huangzhong into nine cun (Chinese inches), with each cun consisting of nine fen (Chinese lines). This was the chi (ruler) initially created by Ling Lun under the command of the Yellow Emperor (Huangdi), known as the Ancient Law Chi or the Vertical Millet Chi. By selecting well-formed millet grains, the longitudinal length of one grain was defined as one fen; nine fen made one cun, and nine cun (totaling eighty-one fen) constituted one chi. Another method divided the length of the Huangzhong into ten cun, with each cun consisting of ten fen. This was the chi used when Shun unified the laws, measures, and weights, and it remained unchanged during the Xia Dynasty, hence named the Xia Chi. Legends state that Yu of Xia used ten cun per chi, referring to this ruler, also called the Ancient Degree Chi or Horizontal Millet Chi. By selecting well-formed millet grains, the transverse width of one grain was defined as one fen; ten fen made one cun, and ten cun (totaling one hundred fen) constituted one chi. A third method divided the length of the Huangzhong into four segments and added one extra segment to form a chi; this was the Shang Chi. It corresponded to 1.25 chi of the Xia Chi. Legends state that Tang Cheng (King Tang of Shang) used twelve cun per chi, referring to this ruler. A fourth method divided the length of the Huangzhong into five segments and subtracted one segment to form a chi; this was the Zhou Chi. It corresponded to eight cun of the Xia Chi. Legends state that King Wu of Zhou used eight cun per chi, referring to this ruler. A fifth method divided the length of the Huangzhong into nine cun and added one extra cun to form a chi; this was the Han Chi. The Tang Chi was identical to the Tang Cheng Chi but used by the Tang people, hence also called the Tang Chi. The Song Chi was identical to the Huangdi Chi but used by the Song people, hence also called the Song Chi. Among the aforementioned seven dynasties, there were five types of chi. The Vertical Millet Chi included the Huangdi Chi and the Song Chi; the Horizontal Millet Chi was the Xia Chi; the Diagonal Millet Chi was the Han Chi. Mutual verification among these provided supplements to the study of musical laws.
Cai Yuanding stated: In the Zhou Dynasty, both ten-cun and eight-cun rulers were used as chi. Using the ten-cun chi for measurement, ten chi made one zhang (Chinese foot), and ten zhang made one yin. Using the eight-cun chi for measurement, eight chi made one xun, and two xun (sixteen chi) made one chang. The *Shuowen Jiezi* states: "Ten cun is a chi, eight cun is a zhi." Thus, chi and zhi are names of two different instruments. Modern people only know that eight cun is a zhi, considering it the name of a separate object rather than a type of chi.
The *Book of Rites: Wang Zhi* states: "In ancient times, a step was eight chi using the Zhou Chi; now, a step is six chi and four cun using the Zhou Chi." (The *Wang Zhi* chapter was compiled during the reign of Emperor Wen of Han. Zheng Shizi noted: The term "Zhou Chi" here should likely be read as "Xia Chi." Chen Xiangdao explained: Six chi and four cun refers to the ten-cun chi. Six chi and four cun of the ten-cun chi is equivalent to eight chi of the eight-cun chi.) The *Xiao Erya: Guang Du Pian* states: "Kui is the distance covered by one step; double Kui is called Bu (step)." (*Kui* sounds like 'kui'). The *Sima Fa* states: "Six chi make one Bu." Zheng Shizi commented: Examining the systems of Yao, Shun, and the Xia Dynasty, a step was consistently six chi of the Xia Chi. The Shang Dynasty used 1.25 chi of the Xia Chi as its own chi, so it defined a step as five chi. The Zhou Dynasty used eight cun of the Xia Chi as its own chi, so it defined a step as eight chi. (Calculating with 1.25 chi as the base, multiplied by five, yields 6.25 chi of the Xia Chi. Calculating with eight cun as the base, multiplied by eight, yields 6.4 chi of the Xia Chi. Therefore, one step in the Shang Dynasty equaled 6.25 chi of the Xia Chi; one step in the Zhou Dynasty equaled 6.4 chi of the Xia Chi.) Currently, the copper rulers cast by the Baoyuan Bureau and kept by the Ministry of Works define five chi as one step. These current five chi are equivalent to 6.4 chi of the Xia Chi, or eight chi of the Zhou Chi. If the eight cun of the Xia Chi are evenly divided into ten cun, it becomes the Zhou Chi, which is the smallest. If the 1.25 chi of the Xia Chi are evenly divided into ten cun, it becomes the Shang Chi, which is the largest, and corresponds to the carpenter's square ruler used today. Passed down from Lu Ban through generations until the Tang Dynasty, where it was called the Large Chi, and continued to be used until now as the Jin Chi or Yingzao Chi, this ruler is essentially the Chi of King Tang of Yin. Removing two cun from it yields the Chi of Yu of Xia. Removing two cun from the Chi of Yu of Xia yields the Chi of King Wu of Zhou. Thus, a single carpenter's square ruler encompasses the systems of the Three Dynasties, making it self-evident without needing to count millet grains. Furthermore, from the Yellow Emperor to Shun and Yu, the systems were inherited without alteration; only with the Yin and Zhou dynasties did changes in orthodoxy and calendar start occur, leading to the introduction of adjustments in measurements. Therefore, we can infer that the acupoints in the *Huangdi Neijing Lingshu* (Yellow Emperor's Classic of Acupuncture), the unification of laws and measures by Shun, and the bodily proportions of Yu were all consistent with the Xia Chi.
It is further stated: Qibo's mention of an "eight-chi tall man" aligns with the *Rites of Zhou*'s statement that "human height is eight chi." This indicates that from the Yellow Emperor down to the late Zhou period, spanning thousands of years, human stature and measurement standards remained unchanged. This likely referred to the height of exceptionally tall men, not the average person. Hence, the Yellow Emperor asked Bo Gao about the average height, which was seven chi and five cun. This is corroborated by the *Waitai Miyao*, which also records seven chi and five cun. Tao Hongjing of the Liang Dynasty, in his preface to the *Bencao*, exclusively used the millet-counting method. Sun Simiao followed suit, using the Ancient Xia Chi in his texts and cross-referencing it with the *Sima Fa*'s definition of "six chi as one step." His meticulous approach far exceeded that of ordinary physicians. However, Sun Simiao claimed that the Ancient Xia Chi was the small eight-cun ruler used in Jianghuai, Wu, and Yue regions, equivalent to eight cun of the Tang Chi. The *Tang Huiyao* records: "In the fourth year of Wude (621 AD) under Emperor Gaozu of Tang, Kaiyuan Tongbao coins were issued, with a diameter of eight fen, corresponding to eight fen of the Tang Chi." If one coin has a diameter of eight fen, ten coins lined up have a diameter of eight cun, which constitutes one chi of the Ancient Xia Chi mentioned by Sun. Kaiyuan Tongbao coins still exist today; thus, by examining the coins, the size of the chi can be determined. In recent times, physicians adopted the "same-body inch" method, abandoning archaeological research. Fortunately, Sun Simiao's prescriptions and the *Tang Huiyao* provide evidence. The standard height for ordinary people should be based on seven chi and five cun of the millet chi. Cao Jiao, being very tall at nine chi, was above average; Yan Zi, being short at six chi, was below average. Taking the average of these two extremes yields seven chi and five cun. Therefore, Confucius and Xunzi stated that a body of seven chi represents the average person. Seven chi and five cun of the millet chi is equivalent to six chi of the current carpenter's square ruler. The "eight chi" mentioned in the *Suwen* and *Rites of Zhou* refers to eight chi of the millet chi, which equals 6.4 chi of the current carpenter's square ruler, representing the stature of giants. Thus, the *Suwen* contains two theories: eight chi and seven chi five cun. Vulgar people, ignorant of the differences between ancient and modern scales, absurdly claim that human constitutions differ between ancient and modern times.