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Flute acoustics: measurement, modelling and design - School of ...

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2 CHAPTER 1. INTRODUCTION<br />

<strong>and</strong> the position <strong>and</strong> size <strong>of</strong> such holes is a compromise. Existing instruments are therefore<br />

not perfect <strong>and</strong> even the idea <strong>of</strong> perfection in this context is contestable. Instruments usually<br />

change gradually in response to musical tastes <strong>and</strong> performance dem<strong>and</strong>s. There are some<br />

notable exceptions—such as Boehm’s development <strong>of</strong> the modern flute <strong>and</strong> the invention <strong>of</strong><br />

the saxophone by Adolph Sax in the 19th century. Instrument makers vary in their approach to<br />

instrument <strong>design</strong>, some guided primarily by the work <strong>of</strong> earlier makers <strong>and</strong> simple rules-<strong>of</strong>thumb,<br />

while others are more rigourous <strong>and</strong> acoustically informed. In most cases, however, an<br />

element <strong>of</strong> trial-<strong>and</strong>-error is inevitably involved.<br />

In the light <strong>of</strong> this, one <strong>of</strong> the aims <strong>of</strong> music <strong>acoustics</strong> is to help makers: to better underst<strong>and</strong><br />

the physics <strong>of</strong> musical instruments <strong>and</strong> to use this knowledge to make better instruments, or<br />

even just to make good instruments more quickly or with less cost. Such is the goal <strong>of</strong> this thesis.<br />

The task is subtle <strong>and</strong> requires a high degree <strong>of</strong> precision, since the human ear is sensitive<br />

to minute changes in pitch <strong>and</strong> timbre, <strong>and</strong> any physical model needs to match that sensitivity.<br />

There are also many constraints on the <strong>design</strong> <strong>of</strong> musical instruments (determined by such<br />

things as the size <strong>of</strong> a player’s h<strong>and</strong>s) <strong>and</strong> new <strong>design</strong>s need to fit within these constraints.<br />

1.2 THE FLUTE MAKER, THE CURATOR AND THE SOFTWARE ENGINEER<br />

This project presented the opportunity to bring together three diverse fields, experts in which<br />

might not typically find themselves in collaboration.<br />

Terry McGee (shown at his mill in Figure 1.1) is an Australian maker <strong>of</strong> wooden flutes in<br />

the classical style. His flutes are shipped worldwide, particularly to players <strong>of</strong> Irish traditional<br />

music, <strong>of</strong> which he is one. Terry’s <strong>design</strong>s are based on popular historical instruments from<br />

the classical period (late 18th to early 19th centuries), but he regularly modifies his <strong>design</strong>s to<br />

improve intonation <strong>and</strong> better to suit customers’ requirements. Terry’s website ∗ has extensive information on the history <strong>of</strong> flute making, his <strong>design</strong>s<br />

<strong>and</strong> innovations, <strong>and</strong> flute performance.<br />

The Powerhouse Museum in Sydney houses a large collection <strong>of</strong> musical instruments. The<br />

museum has an extensive range <strong>of</strong> early flutes, many <strong>of</strong> which are made <strong>of</strong> wood <strong>and</strong> are now<br />

unplayable due to cracking or other mechanical defects. The museum’s curator <strong>of</strong> musical instruments,<br />

Michael Lee, is interested in the playing characteristics <strong>and</strong> intonation <strong>of</strong> these old<br />

instruments. This might potentially be used to trace the history <strong>of</strong> flute development, as well<br />

as changes in tuning <strong>and</strong> temperament over the last few hundred years.<br />

The Virtual <strong>Flute</strong> is a web service built <strong>and</strong> maintained by s<strong>of</strong>tware engineer Andrew Botros<br />

that uses a semi-empirical model <strong>of</strong> the impedance <strong>of</strong> the modern flute, based on <strong>measurement</strong>s<br />

performed at the Music Acoustics Laboratory at the University <strong>of</strong> New South Wales. The<br />

web service calculates the impedance <strong>of</strong> the modern flute for any <strong>of</strong> its 39 744 possible acoustic<br />

configurations <strong>and</strong> provides players with tuning, timbre <strong>and</strong> playability predictions for these<br />

fingerings (Botros et al. 2006). The web service has many <strong>and</strong> diverse applications among players<br />

<strong>and</strong> composers such as finding new fingering combinations for difficult-to-play phrases,<br />

∗ A copy <strong>of</strong> this website archived by the National Library <strong>of</strong> Australia is available at .

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