Attic numerals

 ( Numerals ) 

The Attic numerical digit are a number system used by the Ancient Greece. 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 Ancient Egypt and the later Etruscan, Roman numerals, and Arabic numerals 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 although presently called Attic, they or variations thereof were universally used by the Greeks. No other numeral system is known to have been used on Attica inscriptions before the Common Era. Their replacement by the Greek numerals started in other parts of the Greek World 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.

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The system

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Symbols The Attic numerals used the following main symbols, with the given values:

(2025). 9780486204307, Dover Publications. ISBN 9780486204307

1	Ι			Tally mark?	𐌠	I
5	Π	𐅈	𐅏	Old Greek: ΠΕΝΤΕ Modern: πέντε	𐌡	V
10	Δ	𐅉	𐅐	Old Greek: ΔΕΚΑ Modern: δέκα	𐌢	X
50	𐅄	𐅊	𐅑	"Δ" in "Π": 10 × 5 = 50	𐌣	L
100	Η	𐅋	𐅒	Old Greek: ΗΕΚΑΤΟΝ Modern: εκατό	𐌟	C
500	𐅅	𐅌	𐅓	"Η" in "Π": 100 × 5 = 500	?	D
1000	Χ	𐅍	𐅔	Old Greek: ΧΙΛΙΟΙ Modern: χίλιοι	?	M
5000	𐅆	𐅎		"Χ" in "Π": 1000 × 5 = 5000	?	V
10000	Μ		𐅕	Old Greek: ΜΥΡΙΟΙ Modern: μύριοι	?	X
50000	𐅇		𐅖	"Μ" in "Π": 10000 × 5 = 50000	?	L

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.

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Special symbols 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 (with a small capital sigma, "Σ"). Specific numeral symbols were used to represent one Ancient drachma ("𐅂") and ten minas "𐅗".

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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 (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.

(1981). 9780521231886, Cambridge University Press. ISBN 9780521231886

(2025). 9780674362505, Harvard University Press. ISBN 9780674362505

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 spelling ἑκατόν.As found in Katharevousa, polytonic Greek in general and Modern Greek in particular before the 1982 official adoption of the monotonic system; however, neither the /h/ phoneme nor the spiritus asper, or "rough breathing mark", are present in monotonic Standard Modern Greek, resulting in the standard modern spelling εκατό.

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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:

Units	ΠIIII
	1	2	3	4	5	6	7	8	9
Tens	𐅄ΔΔΔΔ
	90
Hundreds	𐅅ΗΗΗΗ
	900
Thousands	𐅆ΧΧΧΧ
	9000
Tens of thousands	𐅇ΜΜΜΜ
	90000

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.

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General numbers 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 + 𐅅ΗΗΗΗ + 𐅄ΔΔΔ + ΙΙ = Χ𐅅ΗΗΗΗ𐅄ΔΔΔΙΙ
• 62708 = 60000 + 2000 + 700 + 8 = 𐅇Μ + ΧΧ + 𐅅ΗΗ + ΠΙΙΙ = 𐅇ΜΧΧ𐅅ΗΗΠΙΙΙ.

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Unicode

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See also

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Notes and references

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