a Kyushu Institute of Technology
b Kyushu University
Abstract :
The function of the register hole of the Clarinet can be basically
explained from the common property of two delay systems (J.
Phys. Soc. Jpn, Vol.83, 124003 (2014)). Namely, if the strength of
a short time delay is sufficiently small but non-negligible, the
third harmonic is well sustained over a wide range of the short
delay time. This fact indicates that the register hole with a small
radius raise the pitch of the first register notes in a wide range
more than an octave to the second register notes by a twelfth
(19 semitones). However, the reflection function has many delay
peaks even when only the register hole is opened. That is, the
clarinet should be characterized as a multi-delay system. In this
paper, we focus on the effect of a very short time delay, which
characterizes the reflection from the discontinuity in the
mouthpiece. We numerically found that the function of register
hole survives even for such a three delay system including the
reflection from the mouthpiece.