The Ten Books on Architecture, 5.3.8

Vitruvius  translated by Joseph Gwilt

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8On this account the antient architects, following nature as their guide, and reflecting on the properties of the voice, regulated the true ascent of steps in a theatre, and contrived, by musical proportions and mathematical rules, whatever its effect might be on the stage (scena), to make it fall on the ears of the audience in a clear and agreeable manner. Since in brazen or horn wind instruments, by a regulation of the genus, their tones are rendered as clear as those of stringed instruments, so by the application of the laws of harmony, the antients discovered a method of increasing the power of the voice in a theatre.

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