Adding an organ stop reinforces that harmonic plus all its integer multiples

Evidence

It is important to note, however, that a single 8′ open diapason or principal stop, which produces the foundation 8′ tone of the organ, consists of open flue pipes, which themselves are rich in harmonics (see Figure 5.1). Adding an open flue 4′ principal will not only enhance the second harmonic of the 8′ stop in particular but also all other even harmonics. In general, when a stop is added that is set to reinforce a member (n = 1, 2, 3, 4, …) of the natural harmonic series, it also enhances the (2 × n, 3 × n, 4 × n, …) members. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1535

Categorization

  • XREF: Connects to the foundation-tone logic of synthetic sound design and additive synthesis in synthesizers.