A siren disk is used in pneumatic sirens and has holes which are variously spaced apart. When the disk is spun in front of a jet of air, the holes modulate the air-jet which produces a sound. The pitch of a siren is produced by "the audio frequency of the impulses of compressed air passing through the openings in a rotating disk."(Nov 1922). "Siren Played by Sliding Drive Belt", Popular Science, Vol. 101, No. 5, p.35. ISSN 0161-7370. The pitch is therefore determined by the speed at which the disk rotates, the number of holes which air passes through, the size of the holes and their spacing apart.
The last eight circles of holes give the following temperament of a major (Ionian mode) musical scale (divide each of the above number of holes by 24): 1, 9/8, 5/4, 4/3, 3/2, 5/3, 15/8, 2 (Ptolemy's intense diatonic scale).
A similarly generated minor scale can be made by making a siren disk with the following ratios of hole numbers: 1, 9/8, 6/5, 4/3, 3/2, 8/5, 9/5, 2. (just intonation minor scale).
The setup at the Ontario Science Centre, for example, includes organ-style keys so that children can play music on the siren disk by pressing the keys to open and close a series of eight valves that direct the air selectively at the eight harmonic circles of uniformly spaced holes of the siren disk.
Dutch inventor Dr. A. R. Naber created "the magic flute", a siren whose pitch is varied not by the number of holes in a circle on the disk, but by the speed at which the disk rotates. During operation the cord connecting the spindle and the flexible drive belt is held between the fingers and moved up and down a tapered shaft of the spindle to vary the rotation and thus pitch.
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