The Attic numerals are a symbolic number notation used by the ancient Greeks. They were also known as Herodianic numerals because they were first described in a 2nd-century manuscript by Herodian; or as acrophonic numerals (from acrophony) because the basic symbols derive from the first letters of the (ancient) Greek words that the symbols represented.
The Attic numerals were a decimal (base 10) system, like the older Egyptian and the later Etruscan, Roman, and Hindu-Arabic systems. Namely, the number to be represented was broken down into simple multiples (1 to 9) of powers of ten — units, tens, hundred, thousands, etc.. Then these parts were written down in sequence, in order of decreasing value. As in the basic Roman system, each part was written down using a combination of two symbols, representing one and five times that power of ten.
Attic numerals were adopted possibly starting in the 7th century BCE, and were eventually replaced by the classic Greek numerals around the 3rd century BCE. They are believed to have served as model for the Etruscan number system, although the two were nearly contemporary and the symbols are not obviously related.
The Attic numerals used the following main symbols, with the given values:
|5||Π||𐅈||𐅏||Old Greek: ΠΕΝΤΕ [pɛntɛ] Modern: πέντε||𐌡||V|
|10||Δ||𐅉||𐅐||Old Greek: ΔΕΚΑ [deka] Modern: δέκα||𐌢||X|
|50||𐅄||𐅊||𐅑||"Δ" in "Π": 10 × 5 = 50||𐌣||L|
|100||Η||𐅋||𐅒||Old Greek: ΗΕΚΑΤΟΝ [hɛkaton] Modern: ἑκατόν||𐌟||C|
|500||𐅅||𐅌||𐅓||"Η" in "Π": 100 × 5 = 500||?||D|
|1000||Χ||𐅍||𐅔||Old Greek: ΧΙΛΙΟΙ [kʰilioi] Modern: χίλιοι||?||M|
|5000||𐅆||𐅎||"Χ" in "Π": 1000 × 5 = 5000||?||V|
|10000||Μ||𐅕||Old Greek: ΜΥΡΙΟΝ [myrion] Modern: μύριον||?||X|
|50000||𐅇||𐅖||"Μ" in "Π": 10000 × 5 = 50000||?||X|
The symbols representing 50, 500, 5000, and 50000 were composites of an old form of the capital letter pi (with a short right leg) and a tiny version of the applicable power of ten. For example, 𐅆 was five times one thousand.
The fractions "one half" and "one quarter" were written "𐅁" and "𐅀", respectively.
The symbols were slightly modified when used to encode amounts in talents (with a small capital tau, "Τ") or in staters (with a small capital sigma, "Σ"). Specific numeral symbols were used to represent one drachma ("𐅂") and ten minas "𐅗".
The symbol for 100
The use of "Η" (capital eta) for 100 reflects the early date of this numbering system. In the Greek language of the time, the word for a hundred would be pronounced [hɛkaton] (with a "rough aspirated" sound /h/) and written "ΗΕΚΑΤΟΝ", because "Η" represented the sound /h/ in the Attic alphabet. 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. It was not until Aristophanes of Byzantium introduced the various accent markings during the Hellenistic period that the spiritus asper began to represent /h/, resulting in the modern Greek spelling ἑκατόν. In modern Greek the /h/ phoneme has disappeared altogether, but the accent on the ἑ is retained in the standard spelling.
Simple multiples of powers of ten
Multiples 1 to 9 of each power of ten were written by combining the two corresponding "1" and "5" digits, namely:
|Tens of thousands||Μ||ΜΜ||ΜΜΜ||ΜΜΜΜ||𐅇||𐅇Μ||𐅇ΜΜ||𐅇ΜΜΜ||𐅇ΜΜΜΜ|
Unlike the more familiar Roman numeral system, the Attic system used only the so-called "additive" notation. Thus, the numbers 4 and 9 were written ΙΙΙΙ and ΠΙΙΙΙ, not ΙΠ and ΙΔ.
In general, the number to be represented was broken down into simple multiples (1 to 9) of powers of ten — units, tens, hundred, thousands, etc.. Then these parts would be written down in sequence, from largest to smallest value. For example:
- 49 = 40 + 9 = ΔΔΔΔ + ΠΙΙΙΙ = ΔΔΔΔΠΙΙΙΙ
- 2001 = 2000 + 1 = ΧΧ + I = ΧΧΙ
- 1982 = 1000 + 900 + 80 + 2 = Χ + 𐅆ΗΗΗΗ + 𐅄ΔΔΔ + ΙΙ = Χ𐅆ΗΗΗΗ𐅄ΔΔΔΙΙ
- 62708 = 60000 + 2000 + 700 + 8 = 𐅇Μ + ΧΧ + 𐅅ΗΗ + ΠIII = 𐅇ΜΧΧ𐅅ΗΗΠIII.
|Hindu–Arabic numeral system|
|Positional systems by base|
|Non-standard positional numeral systems|
|List of numeral systems|