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Abjad numerals

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Numeral system of the Arabic alphabet
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Part ofa series on
Numeral systems
List of numeral systems
Arabic alphabet
ابتثجحخدذرزسشصضطظعغفقكلمنهوي

Arabic script

TheAbjad numerals, also calledHisab al-Jummal (Arabic:حِسَاب ٱلْجُمَّل,ḥisāb al-jummal), are a decimalalphabetic numeral system/alphanumeric code, in which the 28 letters of theArabic alphabet are assigned numerical values. They have been used in theArabic-speaking world since before the eighth century whenpositionalArabic numerals were adopted.[1] In modern Arabic, the wordʾabjadīyah (أَبْجَدِيَّة) means 'alphabet' in general.

In the Abjad system, the first letter of the Arabic alphabet,ʾalif, is used to represent 1; the second letter,bāʾ, 2, up to 9. Letters then represent the first nine intervals of 10s and those of the 100s:yāʾ for 10,kāf for 20,qāf for 100, ending with 1000.

The wordʾabjad (أبجد) itself derives from the first four letters (A-B-G-D) of the Semitic alphabet, including theAramaic alphabet,Hebrew alphabet,Phoenician alphabet, and other scripts forSemitic languages. These alphabets contained only 22 letters, stopping attaw, numerically equivalent to 400. The Arabic Abjad system continues at this point with letters not found in other alphabets:thāʾ = 500,khāʾ = 600,dhāl = 700, etc. Abjad numerals in Arabic are similar to the alphanumeric codes ofHebrewgematria andGreekisopsephy.

Abjad order

[edit]

The Abjad order of theArabic alphabet has two slightly different variants. The Arabic abjad order is not a simple historical continuation of the earlier north Semitic alphabetic order, since it has a position corresponding to the Aramaic lettersamekh / semkatס, yet no letter of the Arabic alphabet historically derives from that letter.

In the most commonMashriqi abjad sequence, loss ofsamekh was compensated for by the split ofshinש into two independent Arabic letters,ش (shīn) and (sīn), which moved up to take the place ofsamekh.

The Mashriqi (common) abjad sequence, read from right to left, is:

غظضذخثتشرقصفعسنملكيطحزوهدجبأ
ghdhkhthtshrqfʿsnmlkyzw/uhdjbʾ

This is commonly vocalized as follows:

  • ʾabjad hawwaz ḥuṭṭī kalaman saʿfaṣ qarashat thakhadh ḍaẓagh.

Another vocalization is:

  • ʾabujadin hawazin ḥuṭiya kalman saʿfaṣ qurishat thakhudh ḍaẓugh

In the Maghrebian abjad sequence (quoted in apparently earliest authorities and considered older[2]), loss ofsamekh was compensated for by the split oftsadeצ into two independent Arabic letters,ض (ḍad) andص (ṣad), which moved up to take the place ofsamekh.

The Maghrebian abjad sequence, read from right to left, is:[2][3][unreliable source?]

شغظذخثتسرقضفعصنملكيطحزوهدجبأ
shghdhkhthtsrqfʿnmlkyzw/uhdjbʾ

which can be vocalized as:

  • ʾabujadin hawazin ḥuṭiya kalman ṣaʿfaḍ qurisat thakhudh ẓaghush

Another vocalization is:

  • ʾabajd hawazin ḥuṭīyin kalamnin ṣaʿfaḍin qurisat thakhudh ẓughshin
Competing order

Modern dictionaries and other reference books use the newerhijāʾī (هجائي) /alifbāʾī (أَلِفْبَائِي) and more common order, which partially groups letters together by similarity of shape, and is never used as numerals.

The commonhijāʾī sequence, read from right to left, is:

يوهنملكقفغعظطضصشسزرذدخحجثتبأ
yw/uhnmlkqfghʿshszrdhdkhjthtbʾ

Persian uses a slightly differentorder, in which و comes before ه instead of after it.

In the Maghrebianhijāʾī /alifbāʾī order (replaced by theMashriqi order[3][unreliable source?]), the sequence is:[2]

يوهشسقفغعضصنملكظطزرذدخحجثتبأ
yw/uhshsqfghʿnmlkzrdhdkhjthtbʾ

InAbu Muhammad al-Hasan al-Hamdani's encyclopædiaKitāb al-Iklīl min akhbār al-Yaman wa-ansāb Ḥimyar (کتاب الإكليل من أخبار اليمن وأنساب حمير), the letter sequence (from right to left) is:[4]

يشسهزرقفظطغعضصنوملكذدخحجثتبأ
yshshzrqfghʿnw/umlkdhdkhjthtbʾ

Uses of the Abjad system

[edit]

Before theHindu–Arabic numeral system, the abjad as numbers were used for all mathematical purposes. In modern Arabic, they are primarily used for numberingoutlines, items in lists, and points of information. Equivalent to English, "A.", "B.", and "C." (or, rarer, Roman numerals: I, II, III, IV), in Arabic, thus "أ", then "ب", then "ج", not the first three letters of the modernhijāʼī order.

The abjad numbers are also used to assign numerical values to Arabic words for purposes ofnumerology. The common Islamic phraseبسم الله الرحمن الرحيمbismillāh al-Raḥmān al-Raḥīm ('In the name of Allah, the most merciful, the most compassionate' – seeBasmala) has a numeric value of 786 (from a letter-by-letter cumulative value of 2+60+40+1+30+30+5+1+30+200+8+40+50+1+30+200+8+10+40). The nameAllāhالله by itself has the value 66 (1+30+30+5).

Letter values

[edit]

In common abjad order:[2]

Notice that some letters appear in their initial form and others in ariqaa-like form, with thealif having a different shape.

ValueLetterNameTrans-
literation
1ʾalifʾ /ā
2بbāʾb
3جـjīmj
4دdāld
5هـhāʾh
6وwāww /ū
7زzāy/zaynz
8حـḥāʾ
9طṭāʾ
    
ValueLetterNameTrans-
literation
10ىyāʾy /ī
20كkāfk
30لlāml
40مـmīmm
50نnūnn
60سsīns
70عʿaynʿ
80فfāʾf
90صṣād
    
ValueLetterNameTrans-
literation
100قqāfq
200رrāʾr
300شshīnsh
400تtāʾt
500ثthāʾth
600خـkhāʾkh
700ذdhāldh
800ضḍād
900ظẓāʾ
1000غghayngh

In Maghrebian Abjad order:[2]

ValueLetterNameTrans-
literation
1ʾalifʾ /ā
2بbāʾb
3جـjīmj
4دdāld
5هـhāʾh
6وwāww /ū
7زzāy/zaynz
8حـḥāʾ
9طṭāʾ
    
ValueLetterNameTrans-
literation
10ىyāʾy /ī
20کkāfk
30لlāml
40مـmīmm
50نnūnn
60صṣād
70عʿaynʿ
80فfāʾf
90ضḍād
    
ValueLetterNameTrans-
literation
100قqāfq
200رrāʾr
300سsīns
400تtāʾt
500ثthāʾth
600خـkhāʾkh
700ذdhāldh
800ظẓāʾ
900غghayngh
1000شshīnsh

For fourPersian letters these values are used:

ValueLetterNameTrans-
literation
Has numerical
value of
2پpepب
3چـchech orčجـ
7ژzhezh oržز
20گgâfgک

Similar systems

[edit]

The Abjad numerals are equivalent to the earlierHebrew numerals up to 400. The Hebrew numeral system is known asGematria and is used inKabbalistic texts and numerology. Like the Abjad order, it is used in modern times for numbering outlines and points of information, including the first six days of the week. TheGreek numerals differ in a number of ways from the Abjad ones (for instance in theGreek alphabet there is no equivalent forص,ṣād). TheGreek language system of letters-as-numbers is calledisopsephy. In modern times the old 27-letter alphabet of this system also continues to be used for numbering lists.

See also

[edit]

References

[edit]
  1. ^Stephen Chrisomalis (2010).Numerical Notation: A Comparative History. Cambridge University Press. p. 162.ISBN 9780521878180. Retrieved2019-04-05.
  2. ^abcdeMacdonald 1986, p. 117, 130, 149.
  3. ^ab"ترتيب المداخل والبطاقات في القوائم والفهارس الموضوعية" [Ordering entries and cards in subject indexes].Alyaseer.net (in Arabic). Archived fromthe original on 2007-12-23. RetrievedOct 6, 2009.
  4. ^Macdonald 1986, p. 130.

Sources

[edit]
  • Macdonald, Michael C. A. (1986). "ABCs and letter order in Ancient North Arabian".Proceedings of the Seminar for Arabian Studies (16):101–168.

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