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@turf3 As someone with a very limited technical or mathematical background, I have never been able to understand how to read M.Postma's graph. Can you provide an explanation?
In Marten Postma's own words:
Bore profiles illustrate the way in which a saxophone is conical. Bore profiles are best illustrated in a graph where the length of the instruments (in centimetres horizontally) is depicted short in relation to the width (in millimetres vertically).
Several instruments are stacked in a graph, each time placing the zero of the vertical scale a step upward. Thus a quick comparison between the different types of cone is possible. Already at a first glance it is clear that a saxophone is lot more complicated than just a cone. Especially the necks show various deviations from the cone shape and there is great variety in form in the way in which this narrowing is shaped. Its aim is to keep intonation at bay in the upper end of the second register. Only in a few instruments, this narrowing is visible to the naked eye. Bottom bows also show deviations from the cone. A few more observatisons based on these graphs are to be found in the newly written History-section.
It might have been more useful to others if Marten had provided the raw data but I can't find the actual measurements. He presents two versions for measurements of each sample instrument, which he describes as "Profiles in full" and "Profiles compared to the average main conicity of 20th century instruments [in green]."
The graphs of bore measurements are shown to the right of a thick black vertical line. To the left of that line is a sloping straight line that is either an extrapolation of the main body tube conicity (slope) (shown in black) or an extrapolation of the average main tube conicity (shown in green.
As Marten says, one of the key findings is that the main body tube of instruments measured seems very close to a perfect cone and that the neck, bow and bell diverge quite a long way from that, with significant variations between different makes and models.
The Postma Graph is of his measurements of selected alto saxophones.
He has separate graphs for soprano, alto, tenor and baritone. The example given by @turf3 was for tenor.
Rhys
