Schroeder M R
J Acoust Soc Am. 1986 Jan;79(1):186-9. doi: 10.1121/1.393647.
The synthesis of certain paradoxical acoustic waveforms is described that will sound lower when reproduced at higher speeds (and vice versa). Specifically, one such waveform, when recorded on magnetic tape, will sound a semitone lower (rather than an octave higher) when played back at twice the tape speed. The connection with fractal objects in geometry is illustrated.
本文描述了某些矛盾声学波形的合成,这些波形在以更高速度重放时听起来音调更低(反之亦然)。具体而言,有一种这样的波形,当记录在磁带上时,以两倍磁带速度回放时听起来会低半音(而不是高一个八度)。文中还说明了与几何中分形对象的联系。