Everything that is harmoniously constituted is knit together out of opposites... - Nicomachus
" "Everything that is harmoniously constituted is knit together out of opposites...
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About Nicomachus
, or Nicomachus of Gerasa, (Greek: Νικόμαχος; c. 60 – c. 120 CE) was an important ancient Greek mathematician best known for and Manual of Harmonics. He was born in , in the Roman province of Syria (now , ). Although a Neopythagorean who wrote about the mystical properties of numbers, Nicomachus was strongly influenced by Aristotle.
Also Known As
Native Name:
Νικόμαχος Γερασηνός
Alternative Names:
Nicomachus of Gerasa
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Additional quotes by Nicomachus
If geometry exists, arithmetic must also needs be implied... But on the contrary 3, 4, and the rest might be 5 without the figures existing to which they give names. Hence arithmetic abolishes geometry along with itself, but is not abolished by it, and while it is implied by geometry, it does not itself imply geometry.
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And once more is this true in the case of music; not only because the absolute is prior to the relative, as 'great' to 'greater' and 'rich' to 'richer' and 'man' to 'father,' but also because the musical harmonies, diatessaron, diapente, and diapason, are named for numbers; similarly all of their harmonic ratios are arithmetical ones, for the diatessaron <nowiki>[</nowiki>] is the ratio of 4 : 3, the diapente <nowiki>[</nowiki>] that of 3 : 2, and the diapason [perfect ] the double ratio [2 : 1]; and the most perfect, the di-diapason <nowiki>[</nowiki>], is the quadruple ratio [4 : 1].
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