Attic numerals

Numeral systems by culture
Hindu-Arabic numerals
Western Arabic (Hindu numerals)
Eastern Arabic
Indian family
Tamil
Burmese
Khmer
Lao
Mongolian
Thai
East Asian numerals
Chinese
Japanese
Suzhou
Korean
Vietnamese
Counting rods
Alphabetic numerals
Abjad
Armenian
Āryabhaṭa
Cyrillic
Ge'ez
Greek
Georgian
Hebrew
Other systems
Aegean
Attic
Babylonian
Brahmi
Egyptian
Etruscan
Inuit
Kharosthi
Mayan
Quipu
Roman
Sumerian
Urnfield
List of numeral system topics
Positional systems by base
Decimal (10)
2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 20, 24, 30, 36, 60, 64
Non-positional system
Unary numeral system (Base 1)
List of numeral systems

Attic numerals were used by the ancient Greeks, possibly from the 7th century BC. They were also known as Herodianic numerals because they were first described in a 2nd century manuscript by Herodian. They are also known as acrophonic numerals because the symbols derive from the first letters of the words that the symbols represent: five, ten, hundred, thousand and ten thousand. See Greek numerals and acrophony.

Decimal Symbol Greek numeral IPA
1 Ι
5 Π πέντε [pɛntɛ]
10 Δ δέκα [deka]
100 Η ἑκατόν [hɛkaton]
1000 Χ χίλιοι/χιλιάς [kʰilioi/kʰilias]
10000 Μ μύριον [myrion]

The use of Η for 100 reflects the early date of this numbering system: Η (Eta) in the early Attic alphabet represented the sound /h/. In later, "classical" Greek, with the adoption of the Ionic alphabet throughout the majority of Greece, the letter eta had come to represent the long e sound while the rough aspiration was no longer marked.[1][2] It wasn't until Aristophanes of Byzantium introduced the various accent markings during the Hellenistic period that the spiritus asper began to represent /h/. Thus the word for a hundred would originally have been written ΗEΚΑΤΟΝ, as compared to the now more familiar spelling ἑκατόν. In modern Greek, the /h/ phoneme has disappeared altogether, but this has had no effect on the basic spelling.

Unlike the more familiar Modern Roman numeral system, the Attic system contains only additive forms. Thus, the number 4 is written ΙΙΙΙ, not ΙΠ.

The numerals representing 50, 500, and 5,000 were composites of pi (often in an old form, with a short right leg) and a tiny version of the applicable power of ten. For example, is five times ten thousand.

The acrophonic numerals in comparison to the Roman numeral system.
Ι Π Δ Η Χ Μ
1 5 10 5
×
10
100 5
×
100
1000 5
×
1000
10000
50 500 1000
×
5
1000
×
10
I V X L C D M V X
Example:   1982   =   Χ𐅅ΗΗΗΗ . 𐅄ΔΔΔΙΙ   =   MCM . LXXXII.

See also

Notes and references

  1. ^ See A.G. Woodhead "The Study of Greek Inscriptions, Second Edition" p.18: Cambridge University Press. ISBN 0-521-23188-X.
  2. ^ See Herbert Weir Smyth "Greek Grammar, Revised Edition" p.10 (§14): Harvard University Press. ISBN 0674362500.