τετρακτύς

Ancient Greek

Etymology

τετράς (tetrás) +‎ -τύς (-tús)

Pronunciation
 

Noun

τετρᾰκτῡ́ς • (tetraktū́s) f (genitive τετρᾰκτῠ́ος); third declension

Pythagorean name for

  1. the sum of the first four numbers, i.e. 10 (= 1+2+3+4)
    • Carm., Aur. 48:
      ναὶ μὰ τὸν ἁμετέρᾳ ψυχᾷ παραδόντα τετρακτύν, παγὰν ἀενάου φύσεως
      naì mà tòn hametérāi psukhâi paradónta tetraktún, pagàn aenáou phúseōs
    • 160 CE – 210 CE, Sextus Empiricus, Against the Mathematicians 7.94
    • Theo., Sm. p.94.H.
    • Hierocl., in CA 20p.465.M.
  2. the four terms (6:8:9:10) of the proportion corresponding to the chief musical intervals; also their sum +1 (= 36); the sum of the first 8 numbers

Inflection
Third declension of ἡ τετρᾰκτῡ́ς; τῆς τετρᾰκτῠ́ος (Attic)
Case / # Singular Dual Plural
Nominative ἡ τετρᾰκτῡ́ς
hē tetraktū́s		 τὼ τετρᾰκτῠ́ε
tṑ tetraktúe		 αἱ τετρᾰκτῠ́ες
hai tetraktúes
Genitive τῆς τετρᾰκτῠ́ος
tês tetraktúos		 τοῖν τετρᾰκτῠ́οιν
toîn tetraktúoin		 τῶν τετρᾰκτῠ́ων
tôn tetraktúōn
Dative τῇ τετρᾰκτῠ́ῐ̈
têi tetraktúï		 τοῖν τετρᾰκτῠ́οιν
toîn tetraktúoin		 ταῖς τετρᾰκτῠ́σῐ / τετρᾰκτῠ́σῐν
taîs tetraktúsi(n)
Accusative τὴν τετρᾰκτῡ́ν
tḕn tetraktū́n		 τὼ τετρᾰκτῠ́ε
tṑ tetraktúe		 τᾱ̀ς τετρᾰκτῦς / τετρᾰκτῠ́ᾰς
tā̀s tetraktûs / tetraktúas
Vocative τετρᾰκτῡ́
tetraktū́		 τετρᾰκτῠ́ε
tetraktúe		 τετρᾰκτῠ́ες
tetraktúes
Notes:
  • This table gives Attic inflectional endings. For declension in other dialects, see Appendix:Ancient Greek dialectal declension.

Further reading
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