Cyrillic numerals

{{Short description|Numeral system derived from the Cyrillic script}}

File:Suzdal Kremlin clock.JPG, Russia]]

File:Cyrillic-Dates-on-Russian-Coins.png of silver half ruble (left) and copper beard token featuring the year 1705 in Cyrillic numerals (҂АѰЕ)]]

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Cyrillic numerals are a numeral system derived from the Cyrillic script, developed in the First Bulgarian Empire in the late 10th century. It was used in the First Bulgarian Empire and by South and East Slavic peoples.{{cite journal|last1=Dejić|first1=Mirko|title=How the old Slavs (Serbs) wrote numbers|journal=BSHM Bulletin: Journal of the British Society for the History of Mathematics|volume=29|issue=1|year=2013|pages=2–17|issn=1749-8430|doi=10.1080/17498430.2013.805559|s2cid=121899464}} The system was used in Russia as late as the early 18th century, when Peter the Great replaced it with Hindu-Arabic numerals as part of his civil script reform initiative.{{cite book|last=Chrisomalis|first=Stephen|title=Numerical Notation: A Comparative History|url=https://books.google.com/books?id=kXZhBAAAQBAJ&pg=PA182|access-date=2016-12-28|year=2010|publisher=Cambridge University Press|location=Cambridge, England|isbn=978-1-139-48533-3|pages=180–182}}{{citation |last=Yefimov |first=Vladimir |contribution=Civil Type and Kis Cyrillic |title=Language Culture Type: International Type Design in the Age of Unicode |url=https://books.google.com/books?id=K5j33ihraUYC&pg=PA128 |editor-last=Berry |editor-first=John D. |publisher=Graphis Press |place=New York City |year=2002 |isbn=978-1932026016 |pages=369–147 |contribution-url=http://typejournal.ru/en/articles/Civil-Type |access-date=2017-01-02 }} Cyrillic numbers played a role in Peter the Great's currency reform plans, too, with silver wire kopecks issued after 1696 and mechanically minted coins issued between 1700 and 1722 inscribed with the date using Cyrillic numerals.{{cite web |url=http://www.metaldetectingworld.com/russian_coins_peter_i.shtml |title=How To Identify & Interpret Cyrillic Dates on Russian Coins of Peter I The Great |last=Teplyakov |first=Sergei |work=Metal Detecting World |date=2011 |access-date=2016-12-30 }} By 1725, Russian Imperial coins had transitioned to Arabic numerals.{{cite web |url=http://www.library.yale.edu/slavic/coins/peter1.html |title=Coins and Medals of Imperial Russia |last=Lorković |first=Tatjana |publisher=Yale University Library |date=2003 |access-date=2016-12-30 }} The Cyrillic numerals may still be found in books written in the Church Slavonic language.{{cite book|last=Looijen|first=Maarten|title=Over Getallen Gesproken/Talking About Numbers|url=https://books.google.com/books?id=k11dCwAAQBAJ&pg=PT62|edition=2nd|year=2015|publisher=Van Haren Publishing|location=Zaltbommel, Netherlands|language=nl, en|isbn=978-94-018-0601-5|pages=59–60}}

General description

The system is a quasi-decimal alphabetic numeral system, equivalent to the Ionian numeral system but written with the corresponding graphemes of the Cyrillic script. The order is based on the original Greek alphabet rather than the standard Cyrillic alphabetical order.{{cite web |url=http://www.omniglot.com/writing/cyrillic.htm |title=Omniglot: Cyrillic Script |last=Ager |first=Simon |access-date=2016-12-29 }}

A separate letter is assigned to each unit (1, 2, ... 9), each multiple of ten (10, 20, ... 90), and each multiple of one hundred (100, 200, ... 900). To distinguish numbers from text, a titlo ({{Script|Cyrs|  ҃ }}) is sometimes drawn over the numbers, or they are set apart with dots.{{citation |last=Gesang |first=Philipp |title=Typesetting Cyrillic Numerals with ConTEXt MkIV |page=3 |year=2013 |url=http://mirror.hmc.edu/ctan/macros/context/contrib/context-cyrillicnumbers/doc/context/third/cyrillicnumbers/cyrillicnumbers.pdf |access-date=2016-12-29 |archive-url=https://web.archive.org/web/20161230155855/http://mirror.hmc.edu/ctan/macros/context/contrib/context-cyrillicnumbers/doc/context/third/cyrillicnumbers/cyrillicnumbers.pdf |archive-date=2016-12-30 |url-status=dead }} The numbers are written as pronounced in Slavonic,{{cite book|last=Lunt|first=Horace Gray |author-link=Horace Lunt |title=Old Church Slavonic Grammar|url=https://books.google.com/books?id=7BXJgfIo_fYC&pg=PA16|edition=7th|year=2001|publisher=Walter de Gruyter|location=Berlin, Germany|isbn=978-3-11-016284-4|pages=16–18}} generally from the high value position to the low value position, with the exception of 11 through 19, which are written and pronounced with the ones unit before the tens; for example, ЗІ (17) is "семнадсять" (literally seven-on-ten, cf. the English seven-teen).

Examples:

  • 45px ({{Script/Slavonic|҂аѱ҃ѕ}}) – 1706
  • Image:Cyrillic numerals-7118.svg ({{Script/Slavonic|҂зр︮и︯і}}) – 7118
  • A long titlo may be used for long runs of numbers: {{Big|{{Script/Slavonic|҂з︮р︦н︦і︯}}}}.

To evaluate a Cyrillic number, the values of all the figures are added up: for example, ѰЗ is 700 + 7, making 707. If the number is greater than 999 (ЦЧѲ), the thousands sign (҂) is used to multiply the number's value: for example, ҂Ѕ is 6000, while ҂Л҂В is parsed as 30,000 + 2000, making 32,000. To produce larger numbers, a modifying sign is used to encircle the number being multiplied.{{cite book |last1=Gamanovich |first1=Alypy |title=Grammar of the Church Slavonic Language |url=https://books.google.com/books?id=5xxKAAAAYAAJ |editor-last=Shaw |editor-first=John |location=Jordanville, New York |publisher=Holy Trinity Monastery |year=2001 |isbn=978-0884650645 |access-date=2016-12-28 }} Two scales existed in such cases (similar to the long and short scales): one is 'Малый счёт' or Lesser Count, giving a new name and sign every order of magnitude, and the other is 'Великий счёт' or Greater Count, where every name and sign is the previous one squared, up until 1048- instead of going to 1096, it goes to 1049.{{cite news |last=Козловский |first=Станислав |url=http://www.vokrugsveta.ru/telegraph/theory/251/ |title=У больших чисел громкие имена |language=ru |trans-title=Big Names of Large Numbers |work=Вокруг Света |location=Moscow |date=2007-02-25 |access-date=2017-01-02 }}{{cite book|editor1=A. Kent|editor2=H. Lancour|editor3=J.E. Daily|editor4=W.Z. Nasri|title=Encyclopedia of Library and Information Science|chapter-url=https://books.google.com/books?id=jU3fwyjqS5UC&pg=PA513|access-date=26 March 2018|volume=27|date=1979|publisher=Marcel Dekker Inc.|location=New York, NY|isbn=978-0-8247-2027-8|pages=510–520|chapter=Slavic Paleography}}

File:Cyrillic_thousands.svg

Table of values

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class="wikitable"

! Value

! Greek

! Cyrillic

1ΑʹА
2ΒʹВ
3ΓʹГ
4ΔʹД
5ΕʹЄ or Е
6Ϛʹ or Ϝʹ or ΣΤʹЅ or Ꙃ or Ꙅ
7ΖʹЗ or Ꙁ
8ΗʹИ
9ΘʹѲ

{{col-break}}

class="wikitable"

! Value

! Greek

! Cyrillic

10ΙʹІ or Ї
20ΚʹК
30ΛʹЛ
40ΜʹМ
50ΝʹН
60ΞʹѮ or Ч{{ref|Che|†}}
70ΟʹѺ or О
80ΠʹП
90Ϟʹ or ϘʹЧ or Ҁ{{ref|Che|†}}

{{col-break}}

class="wikitable"

! Value

! Greek

! Cyrillic

100ΡʹР
200ΣʹС
300ΤʹТ
400ΥʹУ or Ѵ or ОУ or Ꙋ
500ΦʹФ
600ΧʹХ
700ΨʹѰ
800ΩʹѠ or Ѿ or Ꙍ
900Ϡʹ or ͲʹЦ or Ѧ

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:{{note|Che|†}} In some varieties of Western Cyrillic, Ч was used for 60 and Ҁ was used for 90.

class="wikitable"

|+ Cyrillic modifying signs

Name (English)

! Lesser count multiplier

! Greater count multiplier

! Sign

! Example

Тысяча знак (Thousand mark)1,0001,000{{Slavonic| ҂  }}18px
Тьма (Myriad)10,0001,000,000{{Slavonic|   ⃝}}20px
Легион (Legion)100,0001012{{Slavonic|  ҈}}20px
Леодр (Legion of Legions)1,000,0001024{{Slavonic|  ҉}}20px
Вран (Ворон) (Raven/Crow)10,000,0001048{{Slavonic|  ꙰}}20px
Колода (Trough/Log)100,000,0001049{{Slavonic|  ꙱}}20px
Тьма тем (Many Myriad)1,000,000,000possibly 1050{{Slavonic|  ꙲}}File:Тма тем.svg

Computing codes

class=wikitable style=text-align:right
align=center

! align=right | character

| colspan=2 | ◌҃

| colspan="2" |◌︮

| colspan="2" |◌︦

| colspan="2" |◌︯

| colspan="2" | ҂

align=center

! align=right | Unicode name

| colspan=2 | COMBINING CYRILLIC
TITLO

| colspan="2" |COMBINING CYRILLIC TITLO LEFT HALF

| colspan="2" |{{Small|COMBINING CONJOINING MACRON}}

| colspan="2" |COMBINING CYRILLIC TITLO RIGHT HALF

| colspan="2" | CYRILLIC
THOUSANDS SIGN

align=left | character encoding

| decimal || hex

| decimal || hex

| decimal || hex

| decimal || hex

| decimal || hex

align=left | Unicode

| 1155 || 0483

|65070

|FE2E

|65062

|FE26

|65071

|FE2F|| 1154 || 0482

align=left | UTF-8

| 210 131 || D2 83

|239 184 174

|EF B8 AE

|239 184 166

|EF B8 A6

|239 184 175

|EF B8 AF|| 210 130 || D2 82

align=left | Numeric character reference

| ҃ || ҃

|︮

|︮

|︦

|︦

|︯

|︯|| ҂ || ҂

class=wikitable style=text-align:right
align=center

! align=right | character

| colspan=2 |  ⃝

| colspan=2 |  ҈

| colspan=2 |  ҉

| colspan=2 |   ꙰

| colspan=2 |  ꙱

| colspan=2 |   ꙲

align=center

! align=right | Unicode name

| colspan="2" |COMBINING
ENCLOSING CIRCLE
(Cyrillic combining
ten thousands sign)

colspan="2" | COMBINING
CYRILLIC HUNDRED
THOUSANDS SIGN
colspan="2" | COMBINING
CYRILLIC
MILLIONS SIGN
colspan=2 | COMBINING
CYRILLIC TEN
MILLIONS SIGN
colspan="2" | COMBINING
CYRILLIC HUNDRED
MILLIONS SIGN

| colspan="2" |COMBINING
CYRILLIC BILLIONS SIGN

align=left | character encoding

| decimal || hex

| decimal || hex

| decimal || hex

| decimal || hex

| decimal || hex

| decimal || hex

Unicode

|8413

|20DD|| 1160 || 0488 || 1161 || 0489 || 42608 || A670 || 42609 || A671

|42610

|A672

UTF-8

|226 131 157

|E2 83 9D|| 210 136 || D2 88 || 210 137 || D2 89 || 234 153 176 || EA 99 B0 || 234 153 177 || EA 99 B1

|234 153 178

|EA 99 B2

Numeric character reference

|⃝

|⃝|| ҈ || ҈ || ҉ || ҉ || ꙰ || ꙰ || ꙱ || ꙱

|꙲

|꙲

See also

References

{{Reflist|30em}}