Suzhou numerals

The Suzhou numerals, also known as Sūzhōu mǎzi (蘇州碼子), is a numeral system used in China before the introduction of Arabic numerals. The Suzhou numerals are also known as huāmǎ (花碼), cǎomǎ (草碼), jīngzǐmǎ (菁仔碼), fānzǐmǎ (番仔碼) and shāngmǎ (商碼).[1]

Suzhou numerals
Traditional Chinese蘇州碼子
Simplified Chinese苏州码子
Alternative Chinese name
Traditional Chinese花碼
Simplified Chinese花码
Literal meaningflowery or fancy numbers

History
The Suzhou numerals for 5 and 9 come from their respective horizontal forms of the rod numerals.

The Suzhou numeral system is the only surviving variation of the rod numeral system. The rod numeral system is a positional numeral system used by the Chinese in mathematics. Suzhou numerals are a variation of the Southern Song rod numerals.

Suzhou numerals were used as shorthand in number-intensive areas of commerce such as accounting and bookkeeping. At the same time, standard Chinese numerals were used in formal writing, akin to spelling out the numbers in English. Suzhou numerals were once popular in Chinese marketplaces, such as those in Hong Kong along with local transportation before the 1990s, but they have gradually been supplanted by Arabic numerals. This is similar to what had happened in Europe with Roman numerals used in ancient and medieval Europe for mathematics and commerce. Nowadays, the Suzhou numeral system is only used for displaying prices in Chinese markets[2] or on traditional handwritten invoices.

Symbols

In the Suzhou numeral system, special symbols are used for digits instead of the Chinese characters. The digits of the Suzhou numerals are defined between U+3021 and U+3029 in Unicode. An additional three code points starting from U+3038 were added later.

Unicode for Suzhou numerals
Number "Suzhou" CJK ideographs
CharacterUnicodeCharacterUnicode
0 〇U+3007 零U+96F6
1 〡U+3021 一U+4E00
2 〢U+3022 二U+4E8C
3 〣U+3023 三U+4E09
4 〤U+3024 四U+56DB
5 〥U+3025 五U+4E94
6 〦U+3026 六U+516D
7 〧U+3027 七U+4E03
8 〨U+3028 八U+516B
9 〩U+3029 九U+4E5D
10 〸U+3038 十U+5341
20 〹U+3039 廿U+5EFF
30 〺U+303A 卅U+5345

The numbers one, two, and three are all represented by vertical bars. This can cause confusion when they appear next to each other. Standard Chinese ideographs are often used in this situation to avoid ambiguity. For example, "21" is written as "〢一" instead of "〢〡" which can be confused with "3" (〣). The first character of such sequences is usually represented by the Suzhou numeral, while the second character is represented by the Chinese ideograph.

Notations

The digits are positional. The full numerical notations are written in two lines to indicate numerical value, order of magnitude, and unit of measurement. Following the rod numeral system, the digits of the Suzhou numerals are always written horizontally from left to right, even when used within vertically written documents.[3]

Suzhou numerals on banquet invoices issued by restaurants circa 1910–1920s. Although the invoices use traditional right-to-left vertical writing, the Suzhou numerals recording the amounts are written horizontally from left to right.

For example:

〤〇〢二
十元

The first line contains the numerical values, in this example, "〤〇〢二" stands for "4022". The second line consists of Chinese characters that represents the order of magnitude and unit of measurement of the first digit in the numerical representation. In this case "十元" which stands for "ten yuan". When put together, it is then read as "40.22 yuan".

Suzhou numerals on a market in Wan Chai
A menu with prices in Suzhou numerals in a Hong Kong Chinese restaurant.
Two magic squares in Suzhou numerals in a 19th-century Chinese Catholic journal.

Possible characters denoting order of magnitude include:

  • qiān (千) for thousands
  • bǎi (百) for hundreds
  • shí (十) for tens
  • blank for ones

Other possible characters denoting unit of measurement include:

Notice that the decimal point is implicit when the first digit is set at the ten position. Zero is represented by the character for zero (〇). Leading and trailing zeros are unnecessary in this system.

This is very similar to the modern scientific notation for floating point numbers where the significant digits are represented in the mantissa and the order of magnitude is specified in the exponent. Also, the unit of measurement, with the first digit indicator, is usually aligned to the middle of the "numbers" row.

Hangzhou misnomer

In the Unicode standard version 3.0, these characters are incorrectly named Hangzhou style numerals. In the Unicode standard 4.0, an erratum was added which stated:[2]

The Suzhou numerals (Chinese su1zhou1ma3zi) are special numeric forms used by traders to display the prices of goods. The use of "HANGZHOU" in the names is a misnomer.

All references to "Hangzhou" in the Unicode standard have been corrected to "Suzhou" except for the character names themselves, which cannot be changed once assigned, according to the Unicode Stability Policy.[4] (This policy allows software to use the names as unique identifiers.)

In the episode "The Blind Banker" of the 2010 BBC One television series Sherlock, Sherlock Holmes erroneously refers to the number system as "Hangzhou" instead of the correct "Suzhou".

See also

References
  1. Wikipedia entry in Chinese 苏州码子
  2. Freytag, Asmus; Rick McGowan; Ken Whistler (2006-05-08). "UTN #27: Known anomalies in Unicode Character Names". Technical Notes. Unicode Consortium. Retrieved 2008-06-13.
  3. Samuel Wells Williams (1863). The Chinese Commercial Guide (5th ed.). Hongkong: A. Shortrede & Co. pp. 277–278.
  4. "Name Stability". Unicode Character Encoding Stability Policy. Unicode Consortium. 2008-02-28. Retrieved 2008-06-13.
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