Hopkin describes a single whirled corrugaphone as capable of producing three or four different pitches. Crawford describes harmonics two through
seven as reachable while whirling, though seven takes, "great effort." Hopkin describes that with a corrugahorn, "with tubes of suitable length and diameters, the range extends well up the [harmonic] series, where the available tones are close together and you can, with practice, play quite
melodically." In fact, since each sounding mode plays throughout a range of speeds (rather than at one specific speed), it is difficult to skip over harmonics, as this requires a jump in speed (rather than gradual change), though this is easily done using one's tongue and throat to interrupt the air flow with a corrugahorn.
dissonant adjacent harmonics may sound simultaneously, such as
15 and 16. The modes of a corrugated tube are usually lower than those of an uncorrugated tube of the same length and diameter, and, "audible vibration in the whirly tube appears only when air
flow velocity exceeds a certain minimum, which may preclude the sounding of the fundamental or lower harmonics." The
timbre of the notes produced by the whirly tube are, "almost all fundamental," according to
Fourier analysis (similar to
sine waves). On the contrary, the present theory of sound production in corrugated pipes refutes the assumptions by Crawford (1973). : \text{frequency} = \frac{\text{bumps}}{\text{sec}} = \frac{\text{bumps}}{\text{inch}} \times \left(\text{air flow velocity in } \frac{\text{inches}}{\text{sec}}\right) The characteristic speed is the mean flow through the pipe
U and the characteristic length must be a multiple of the spacing between corrugations,
nL, where
n is an integer number and
L is the distance between corrugations. At low speeds, the unstable interior flow needs to travel several corrugations to establish the feedback loop. As the speed increases, the loop can be established with fewer corrugations. The
Strouhal number :\mathrm{St} = \frac{f_n n L}{U} was used as the scaling factor. A unique aspect of this whistle is that the internal flow carries both the unstable vortex downstream and the returning feedback signal upstream. ==Use==