Small Houses: Their Economic Design and Construction (1922)
“A Greek architect of the great epoch would no more have thought of omitting the mark of the harmonic scale of proportion, on which the design was based, than would the composer of music think of omitting the harmonic scale of his composition.”
Source: Small Houses: Their Economic Design and Construction (1922), Ch. II
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Ernest Flagg 65
American architect 1857–1947Related quotes
this harmonic proportion may be expressed as <math>\frac{12}{6}=\frac{12-8}{8-6}</math> or inversely.
Nicomachus of Gerasa: Introduction to Arithmetic (1926)
Source: De architectura (The Ten Books On Architecture) (~ 15BC), Book VI, Chapter II, Sec. 1
“Music is nothing but ratios and harmonic math, anyways.”
Static Line interview, 1998
Nicomachus gives another reason for the name, viz. that a cube being of 3 equal dimensions, was the pattern άρμονία: and having 12 edges, 8 corners, 6 faces, it gave its name to harmonic proportion, since:<center>12:6 :: 12-8:8-6</center>
Footnote, citing Vide Cantor, Vorles [Vorlesüngen über Geschichte der Mathematik ?] p 152. Nesselmann p. 214 n. Hankel. p. 105 sqq.
A Short History of Greek Mathematics (1884)
As quoted in The Guitar Handbook (2002) by Ralph Denyer, p. 102