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Chinese units of measurement

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This article is about Chinese units of measurement as generally used in mainland China. For local modifications of it, see Taiwanese units of measurement, Hong Kong units of measurement, and Singaporean units of measurement.

Chinese units of measurement, known in Chinese as the shìzhì ("market system"), are the traditional units of measurement of the Han Chinese. Although Chinese numerals have been decimal (base-10) since the Shang, several Chinese measures use hexadecimal (base-16).[citation needed] Local applications have varied, but the Chinese dynasties usually proclaimed standard measurements and recorded their predecessor's systems in their histories.

Chinese units of measurement
A traditional Chinese scale
Chinese市制
Literal meaningmarket system
Transcriptions
Standard Mandarin
Hanyu Pinyinshìzhì
Wade–Gilesshih-chih
Alternative Chinese name
Chinese市用制
Literal meaningmarket-use system
Transcriptions
Standard Mandarin
Hanyu Pinyinshìyòngzhì
Wade–Gilesshih-yung-chih

In the present day, the People's Republic of China maintains some customary units based upon the market units but standardized to round values in the metric system, for example the common jin or catty of exactly 500 g. The Chinese name for most metric units is based on that of the closest traditional unit; when confusion might arise, the word "market" (市, shì) is used to specify the traditional unit and "common" or "public" (公, gōng) is used for the metric value. Taiwan, like Korea, saw its traditional units standardized to Japanese values and their conversion to a metric basis, such as the Taiwanese ping of about 3.306 m2 based on the square ken. The Hong Kong SAR continues to use its traditional units, now legally defined based on a local equation with metric units. For instance, the Hong Kong catty is precisely 604.78982 g.

Note: The names lí (釐 or 厘) and fēn (分) for small units are the same for length, area, and mass; however, they refer to different kinds of measurements.

History

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Bronze ruler from the Han dynasty (206 BCE to CE 220); excavated in Zichang County; Shaanxi History Museum, Xi'an

According to the Liji, the legendary Yellow Emperor created the first measurement units. The Xiao Erya and the Kongzi Jiayu state that length units were derived from the human body. According to the Records of the Grand Historian, these human body units caused inconsistency, and Yu the Great, another legendary figure, unified the length measurements. Rulers with decimal units have been unearthed from Shang dynasty tombs.

In the Zhou dynasty, the king conferred nobles with powers of the state and the measurement units began to be inconsistent from state to state. After the Warring States period, Qin Shi Huang unified China, and later standardized measurement units. In the Han dynasty, these measurements were still being used, and were documented systematically in the Book of Han.

Astronomical instruments show little change of the length of chi in the following centuries, since the calendar needed to be consistent. It was not until the introduction of decimal units in the Ming dynasty that the traditional system was revised.

Republican Era

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See also: Taiwanese units of measurement

On 7 January 1915, the Beiyang government promulgated a measurement law to use not only metric system as the standard but also a set of Chinese-style measurement based directly on the Qing dynasty definitions (营造尺库平制).[1]

On 16 February 1929, the Nationalist government adopted and promulgated The Weights and Measures Act[2] to adopt the metric system as the official standard and to limit the newer Chinese units of measurement (Chinese: 市用制; pinyin: shìyòngzhì; lit. 'market-use system') to private sales and trade in Article 11, effective on 1 January 1930. These newer "market" units are based on rounded metric numbers.[3]

People's Republic of China

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The Government of the People's Republic of China continued using the market system along with metric system, as decreed by the State Council of the People's Republic of China on 25 June 1959, but 1 catty being 500 grams, would become divided into 10 (new) taels, instead of 16 (old) taels, to be converted from province to province, while exempting Chinese prescription drugs from the conversion to prevent errors.[4]

On 27 February 1984, the State Council of the People's Republic of China decreed the market system to remain acceptable until the end of 1990 and ordered the transition to the national legal measures by that time, but farmland measures would be exempt from this mandatory metrication until further investigation and study.[5]

Hong Kong

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Main article: Hong Kong units of measurement

In 1976 the Hong Kong Metrication Ordinance allowed a gradual replacement of the system in favor of the International System of Units (SI) metric system.[6] The Weights and Measures Ordinance defines the metric, Imperial, and Chinese units.[7] As of 2012, all three systems are legal for trade and are in widespread use.

Macau

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On 24 August 1992, Macau published Law No. 14/92/M to order that Chinese units of measurement similar to those used in Hong Kong, Imperial units, and United States customary units would be permissible for five years since the effective date of the Law, 1 January 1993, on the condition of indicating the corresponding SI values, then for three more years thereafter, Chinese, Imperial, and US units would be permissible as secondary to the SI.[8]

Ancient Chinese units

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Length

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Gilded Bronze Ruler - 1 chi = 231 mm. Western Han (206 BCE–8 CE). Hanzhong City

Traditional units of length include the chi (尺), bu (步), and li (里). The precise length of these units, and the ratios between these units, has varied over time. 1 bu has consisted of either 5 or 6 chi, while 1 li has consisted of 300 or 360 bu.

Length in metres[9]
dynasty chi bu li
= 5 chi = 6 chi = 300 bu = 360 bu
Shang (c. 1600 – c. 1045 BC) 0.1675 1.0050 301.50
0.1690 1.0140 304.20
Western Zhou (c. 1045–771 BC) 0.1990 1.1940 358.20
Eastern Zhou (c. 771–256 BC) 0.2200 1.3200 396.00
0.2270 1.3620 408.60
0.2310 1.3860 415.80
Qin (c. 221–206 BC) 0.2260 1.3560 406.80[10] 415.80[11][12]
Han (c. 202 BC–9 AD; 25–220 AD) 0.2300 1.3800 414.00
0.2381 1.4286 415.80[13] 415.80[11][12] 428.58 [10]
Wei - Sui (c. 220–266 AD; 581 to 618 AD) 0.2550 1.5300 459.00
Tang (c. 618–690 AD; 705–907 AD) 0.2465 1.2325 369.75 443.70
0.2955 1.4775 443.25 531.90
Song (c. 960–1279 AD) 0.2700 1.3500 405.00 486.00
Northern Song (c. 960–1127 AD) 0.3080 1.5400 462.00 554.40
Ming (c. 1368–1644 AD) 0.3008–0.3190 1.5040–1.5950 451.20–478.50 541.44–574.20
Qing (c. 1636–1912 AD) 0.3080–0.3352 1.5400–1.6760 462.00–503.89 554.40–603.46

Modern Chinese units

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All "metric values" given in the tables are exact unless otherwise specified by the approximation sign '~'.

Certain units are also listed at List of Chinese classifiers → Measurement units.

 
Chinese measurement law in 1915

Length

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Chinese length units promulgated in 1915

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Table of Chinese length units promulgated in 1915[1]
Pinyin Character Relative value Metric value Imperial value Notes
háo 毫 1⁄10000 32 μm 0.00126 in
lí 釐 (T) or 厘 (S) 1⁄1000 0.32 mm 0.0126 in
fēn 分 1⁄100 3.2 mm 0.126 in
cùn 寸 1⁄10 32 mm 1.26 in Chinese inch
chǐ 尺 1 0.32 m 12.6 in Chinese foot
bù 步 5 1.6 m 5.2 ft Chinese pace
zhàng 丈 10 3.2 m 3.50 yd Chinese yard
yǐn 引 100 32 m 35.0 yd
lǐ 里 1800 576 m 630 yd Chinese mile, this li is not the small li above,
which has a different character and tone

Chinese length units effective in 1930

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Chinese measurement law in 1929, effective 1 January 1930
 
Chinese measuring tape
Table of Chinese length units effective in 1930[3]
Pinyin Character Relative value Metric value Imperial value Notes
háo 毫 1⁄10 000 33+1⁄3 μm 0.00131 in Chinese mil
lí 釐 (T) or 厘 (S) 1⁄1000 1⁄3 mm 0.0131 in Chinese calibre
fēn 市分 1⁄100 3+1⁄3 mm 0.1312 in Chinese line
cùn 市寸 1⁄10 3+1⁄3 cm 1.312 in Chinese inch
chǐ 市尺 1 33+1⁄3 cm 13.12 in Chinese foot
zhàng 市丈 10 3+1⁄3 m 3.645 yd Chinese yard
yǐn 引 100 33+1⁄3 m 36.45 yd Chinese chain
lǐ 市里 1500 500 m 546.8 yd Chinese mile, this li is not the small li above,
which has a different character and tone

Metric length units

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The Chinese word for metre is 米 mǐ; this can take the Chinese standard SI prefixes (for "kilo-", "centi-", etc.). A kilometre, however, may also be called 公里 gōnglǐ, i.e. a metric lǐ.

In the engineering field, traditional units are rounded up to metric units. For example, the Chinese word 絲 (T) or 丝 (S) sī is used to express 0.01 mm.

Table of Chinese length units in engineering
Pinyin Character Relative value Metric value Imperial value Notes
hū 忽 1⁄1000000 1 μm Authorized name: 微米
sī 絲 (T) or 丝 (S) 1⁄100000 10 μm Authorized name: 忽米
háo 毫 1⁄10000 100 μm Authorized name: 絲米 (T) or 丝米 (S)
lí 釐 (T) or 厘 (S) 1⁄1000 1 mm Authorized name: 毫米
fēn 公分 1⁄100 10 mm Authorized name: 釐米(T) or 厘米(S)
cùn 公寸 1⁄10 100 mm Authorized name: 分米
chǐ 公尺 1 1 m Authorized name: 米
Zhàng 公丈 10 10 m Authorized name: 十米
yǐn 公引 100 100 m Authorized name: 百米
lǐ 公里 1000 1000 m this li is not the small li above,
which has a different character and tone

Hong Kong and Macau length units

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Table of Chinese length units in Hong Kong[7] and Macau[8]
Jyutping Character English Portuguese Relative value Metric value Imperial value Notes
fan1 分 fan condorim 1⁄100 3.71475 mm 0.1463 in
cyun3 寸 tsun ponto 1⁄10 37.1475 mm 1.463 in Hong Kong and Macau inch
cek3 尺 chek côvado 1 371.475 mm 1.219 ft Hong Kong and Macau foot

These correspond to the measures listed simply as "China" in The Measures, Weights, & Moneys of All Nations [14]

Area

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Chinese area units promulgated in 1915

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Table of Chinese area units promulgated in 1915[1]
Pinyin Character Relative value Metric value Imperial value Notes
háo 毫 1⁄1000 0.6144 m2 0.7348 sq yd
lí 釐 (T) or 厘 (S) 1⁄100 6.144 m2 7.348 sq yd
fēn 分 1⁄10 61.44 m2 73.48 sq yd
mǔ 畝 (T) or 亩 (S) 1 614.4 m2 734.82 sq yd Chinese acre, or 60 square zhang
qǐng 頃 (T) or 顷 (S) 100 6.144 ha 15.18 acre Chinese hide
Table of Chinese square units effective in 1915[1]
Pinyin Character Relative value Metric value Imperial value Notes
fāng cùn 方寸 1⁄100 10.24 cm2 1.587 sq in square cun
fāng chǐ 方尺 1 0.1024 m2 1.102 sq ft square chi
fāng zhàng 方丈 100 10.24 m2 110.2 sq ft square zhang

Chinese area units effective in 1930

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Table of Chinese area units effective in 1930[3]
Pinyin Character Relative value Metric value Imperial value Notes
háo 毫 1⁄1000 2⁄3 m2 7.18 sq ft
lí 釐 (T) or 厘 (S) 1⁄100 6+2⁄3 m2 7.973 sq yd
fēn 市分 1⁄10 66+2⁄3 m2 79.73 sq yd
mǔ 畝 (T) or 亩 (S) 1 666+2⁄3 m2 797.3 sq yd
0.1647 acre 		Chinese acre
6000 square chi per Article 5 of the 1930 Law (六千平方尺定為一畝)
60 square zhang
1/15 of a hectare
qǐng 頃 (T) or 顷 (S) 100 6+2⁄3 ha 16.47 acre Chinese hide
Table of Chinese square units effective in 1930[3]
Pinyin Character Relative value Metric value Imperial value Notes
fāng cùn 方寸 1⁄100 11+1⁄9 cm2 1.722 sq in square cun
fāng chǐ 方尺 1 1⁄9 m2 172.2 sq in
1.196 sq ft 		square chi
fāng zhàng 方丈 100 11+1⁄9 m2 119.6 sq ft
13.29 sq yd 		square zhang

Metric and other area units

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Metric and other standard length units can be squared by the addition of the prefix 平方 píngfāng. For example, a square kilometre is 平方公里 píngfāng gōnglǐ.

Macau area units

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Table of Chinese area units in Macau[8]
Jyutping Portuguese Character Relative value Relation to the Traditional Chinese Units (Macau) Metric value Imperial value
cek3 côvado 尺 1⁄6000 1⁄25鋪 0.1269 m2 1.366 sq ft
pou3 鋪 1⁄240 1⁄4丈 3.1725 m2 34.15 sq ft
3.794 sq yd
zoeng6 braça 丈 1⁄60 1⁄6分 12.69 m2 136.6 sq ft
15.18 sq yd
fan1 condorim 分 1⁄10 1⁄10畝 76.14 m2 91.06 sq yd
mau5 maz 畝 (T) or 亩 (S) 1 None 761.4 m2 910.6 sq yd

Volume

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These units are used to measure cereal grains, among other things. In imperial times, the physical standard for these was the jialiang.

Chinese volume units promulgated in 1915

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Table of Chinese volume units effective in 1915[1]
Pinyin Character Relative value Metric value US value Imperial value Notes
sháo 勺 1⁄100 10.354688 mL 0.3501 fl oz 0.3644 fl oz
gě 合 1⁄10 103.54688 mL 3.501 fl oz 3.644 fl oz
shēng 升 1 1.0354688 L 2.188 pt 1.822 pt
dǒu 斗 10 10.354688 L 2.735 gal 2.278 gal
hú 斛 50 51.77344 L 13.68 gal 11.39 gal
dàn 石 100 103.54688 L 27.35 gal 22.78 gal

Chinese volume units effective in 1930

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Table of Chinese volume units effective in 1930[3]
Pinyin Character Relative value Metric value US value Imperial value Notes
cuō 撮 1⁄1000 1 mL 0.0338 fl oz 0.0352 fl oz millilitre
sháo 勺 1⁄100 10 mL 0.3381 fl oz 0.3520 fl oz centilitre
gě 合 1⁄10 100 mL 3.381 fl oz 3.520 fl oz decilitre
shēng 市升 1 1 L 2.113 pt 1.760 pt litre
dǒu 市斗 10 10 L 21.13 pt
2.64 gal 		17.60 pt
2.20 gal 		decalitre
dàn 市石 100 100 L 26.41 gal 22.0 gal hectolitre

Metric volume units

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In the case of volume, the market and metric shēng coincide, being equal to one litre as shown in the table. The Chinese standard SI prefixes (for "milli-", "centi-", etc.) may be added to this word shēng.

Units of volume can also be obtained from any standard unit of length using the prefix 立方 lìfāng ("cubic"), as in 立方米 lìfāng mǐ for one cubic metre.

Macau volume units

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Table of Chinese volume units in Macau[8]
Jyutping Character Relation to the Traditional Chinese Units (Macau) Metric value
cyut3 撮 1⁄10甘特 1.031 L
gam1 dak6 甘特 1⁄10石 10.31 L
sek6 石 None 103.1 L

Mass

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These units are used to measure the mass of objects. They are also famous for measuring monetary objects such as gold and silver.

Chinese mass units promulgated in 1915

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Table of Chinese mass units promulgated in 1915[1]
Pinyin Character Relative value Metric value Imperial value Notes
háo 毫 1⁄10000 3.7301 mg 0.0001316 oz
lí 釐 1⁄1000 37.301 mg 0.001316 oz cash
fēn 分 1⁄100 373.01 mg 0.01316 oz candareen
qián 錢 1⁄10 3.7301 g 0.1316 oz mace or Chinese dram
liǎng 兩 1 37.301 g 1.316 oz tael or Chinese ounce
jīn 斤 16 596.816 g 1.316 lb catty or Chinese pound

Mass units in the Republic of China since 1930

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Table of mass units in the Republic of China since 1930[3]
Pinyin Character Relative value Metric value Imperial value Notes
sī 絲 1⁄1600000 312.5 μg 0.00001102 oz
háo 毫 1⁄160000 3.125 mg 0.0001102 oz
lí 市釐 1⁄16000 31.25 mg 0.001102 oz cash
fēn 市分 1⁄1600 312.5 mg 0.01102 oz candareen
qián 市錢 1⁄160 3.125 g 0.1102 oz mace or Chinese dram
liǎng 市兩 1⁄16 31.25 g 1.102 oz tael or Chinese ounce
jīn 市斤 1 500 g 1.102 lb catty or Chinese pound
dàn 擔 100 50 kg 110.2 lb picul or Chinese hundredweight

Mass units in the People's Republic of China since 1959

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Table of mass units in the People's Republic of China since 1959[4]
Pinyin Character[15] Relative value Metric value Imperial value Notes
lí 市厘 1⁄10000 50 mg 0.001764 oz cash
fēn 市分 1⁄1000 500 mg 0.01764 oz candareen
qián 市錢 1⁄100 5 g 0.1764 oz mace or Chinese dram
liǎng 市兩 1⁄10 50 g 1.764 oz tael or Chinese ounce
jīn 市斤 1 500 g 1.102 lb catty or Chinese pound
formerly 16 liang = 1 jin
dàn 市擔 100 50 kg 110.2 lb picul or Chinese hundredweight

Metric mass units

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The Chinese word for gram is 克 kè; this can take the Chinese standard SI prefixes (for "milli-", "deca-", and so on). A kilogram, however, is commonly called 公斤 gōngjīn, i.e. a metric jīn.

Hong Kong and Macau mass units

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Table of Chinese mass units in Hong Kong[7] and Macau[8]
Jyutping Character English Portuguese Relative value Relation to the Traditional Chinese Units (Macau) Metric value Imperial value Notes
lei4 厘 cash liz 1⁄16000 1⁄10 condorim 37.79931 mg 0.02133 dr Not defined in Hong Kong. Macanese definition may not be correct when dividing catty.
fan1 分 candareen (fan) condorim 1⁄1600 1⁄10 maz 377.9936375 mg 0.2133 dr Macanese definition of 377.9931 mg may not be correct when dividing catty.
cin4 錢 mace (tsin) maz 1⁄160 1⁄10 tael 3.779936375 g 2.1333 dr Macanese definition of 3.779931 g may not be correct when dividing catty.
loeng2 兩 tael (leung) tael 1⁄16 1⁄16 cate 37.79936375 g 1.3333 oz Macanese definition of 37.79931 g may not be correct when dividing catty.
gan1 斤 catty (jin, kan) cate 1 1⁄100 pico 604.78982 g 1.3333 lb Hong Kong and Macau share the definition.
daam3 擔 picul (tam) pico 100 None 60.478982 kg 133.3333 lb Hong Kong and Macau share the definition.
Ding 1000 kg

Hong Kong troy units

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These are used for trading precious metals such as gold and silver.

Table of mass (Hong Kong troy) units[7]
English Character Relative value Metric value Imperial value Notes
candareen troy 金衡分 1⁄100 374.29 mg 0.096 drt
mace troy 金衡錢 1⁄10 3.7429 g 0.96 drt
tael troy 金衡兩 1 37.429 g 1.2 ozt

Time

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See also: Chinese calendar, Dates in Chinese, and Traditional Chinese timekeeping
Table of time units
Pinyin Character Relative value Western value Notes
Traditional value Modern value Traditional value Modern value
miǎo 秒 144 milliseconds 1 second
fēn 分 100 miǎo 60 miǎo 14.4 seconds 1 minute
kè 刻 1 minor kè = 10 fēn 15 fēn 2 minutes 24 seconds 15 minutes kè was defined at 1⁄96, 1⁄108, or 1⁄120 day during the Liang dynasty, and established at 1⁄96 day after the Qing dynasty.
1 major kè = 60 fēn 14 minutes 24 seconds
diǎn 點 (T)
点 (S) 		100 fēn 60 fēn 24 minutes 1 hour
shí[16] 時 (T)
时 (S) 		8+1⁄3 kè 4 kè 2 hours 1 hour the xiǎoshí(小時, lit. minor shí) is currently a unit used to express "hour" in order to avoid ambiguity
(pre-Qin) 10 kè 2 hours 24 minutes
shíchén 時辰 (T)
时辰 (S) 		8+1⁄3 kè - 2 hours -
(pre-Qin) 10 kè 2 hours 24 minutes
xiǎoshí 小時 (T)
小时 (S) 		- 60 fēn - 1 hour
rì / tiān 日/天 12 shíchén 24 xiǎoshí 24 hours 1 day

Historiography

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As there were hundreds of unofficial measures in use, the bibliography is quite vast. The editions of Wu Chenglou's 1937 History of Chinese Measurement[17] were the usual standard up to the 1980s or so, but rely mostly on surviving literary accounts. Newer research has put more emphasis on archeological discoveries.[18] Qiu Guangming & Zhang Yanming's 2005 bilingual Concise History of Ancient Chinese Measures and Weights summarizes these findings.[19] A relatively recent and comprehensive bibliography, organized by period studied, has been compiled in 2012 by Cao & al.;[20] for a shorter list, see Wilkinson's year 2000 Chinese History.[18]

See also

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References

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Citations

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  1. ^ a b c d e f "權度法 [Quándù Fǎ]", 政府公報 [Zhèngfǔ Gōngbào, Government Gazette], vol. 957, Beijing: Office of the President, 7 January 1915, pp. 85–94[permanent dead link‍]. (in Chinese)
  2. ^ "The Weights and Measures Act: Legislative History". Ministry of Justice (Republic of China).
  3. ^ a b c d e f "The Weights and Measures Act (1929)". Legislative Yuan. Archived from the original on 2014-04-25.
  4. ^ a b (in Chinese) 1959 Gazette of the State Council of the People's Republic of China, No. 180, pages 311 to 312
  5. ^ Decree of the State Council Concerning the Use of Uniform Legal Measures in the Country Archived 2015-04-09 at the Wayback Machine
  6. ^ Yearbook HK. "Yearbook." Metrication. Retrieved on 26 April 2007.
  7. ^ a b c d Cap. 68 WEIGHTS AND MEASURES ORDINANCE
  8. ^ a b c d e Law No. 14/92/M ((in Chinese) 第14/92/M號法律; (in Portuguese) Lei n.o 14/92/M)
  9. ^ Schinz, 1996
  10. ^ a b Schinz, p. 476.
  11. ^ a b Dubs (1938), pp. 276-280; (1955), p. 160, n. 7.
  12. ^ a b Hulsewé (1961), pp. 206–207.
  13. ^ Hill (2015), "About the Measurements", pp. xxiii-xxiv.
  14. ^ W. S. B. Woolhouse (1859), The Measures, Weights, & Moneys of All Nations (And an Analysis of the Christian, Hebrew, and Mahometan Calendars), J. Weale
  15. ^ (in Chinese) 1959 Gazette of the State Council of the People's Republic of China, No. 180, page 316
  16. ^ Nachum Dershowitz, Edward M. Reingold, "Calendrical calculations", page 207
  17. ^ 吳承洛 (1937), 《中國度量衡史》 [Zhōngguó Dùliànghéng Shǐ], 2nd ed. in 1957, 3rd ed. in 1993. (in Chinese)
  18. ^ a b Wilkinson, Endymion (2000), Chinese History: A Manual (2nd ed.), Cambridge: Harvard University Asia Center, pp. 244–245, ISBN 978-0-674-00249-4.
  19. ^ 丘光明 (2005), 张延明 (ed.), 《中国古代计量史图鉴》 [Zhōngguó Gǔdài Jìliàng Shǐ Tújiàn], Hefei: Hefei University Press, ISBN 7-81093-284-5. (in Chinese) & (in English)
  20. ^ Cao Jin; et al. (2012), Chinese, Japanese and Western Research in Chinese Historical Metrology: A Classified Bibliography (1925-2012), Tübingen: Institute for Chinese and Korean Studies at the University of Tübingen.

Sources

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  • Hill, John E. (2015) Through the Jade Gate - China to Rome: A Study of the Silk Routes 1st to 2nd Centuries CE. Vol. I. John E. Hill. CreateSpace, Charleston, South Carolina. ISBN 978-1-5006-9670-2.
  • Homer H. Dubs (1938): The History of the Former Han Dynasty by Pan Ku. Vol. One. Translator and editor: Homer H. Dubs. Baltimore. Waverly Press, Inc.
  • Homer H. Dubs (1955): The History of the Former Han Dynasty by Pan Ku. Vol. Three. Translator and editor: Homer H. Dubs. Ithaca, New York. Spoken Languages Services, Inc.
  • Hulsewé, (1961). "Han measures." A. F. P. Hulsewé, T'oung pao Archives, Vol. XLIX, Livre 3, pp. 206–207.
  • Chinese Measurement Converter - Online Chinese / Metric / Imperial Converter
  • Chinese/Metric/Imperial Measurement Converter
  • Schinz, Alfred (1996). The magic square: cities in ancient China. Edition Axel Menges. p. 428. ISBN 3-930698-02-1.
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