Heh heh, what you guys would give for what's sitting on my desk right now (pictured):
One of my acoustical gurus, Prof Neville Fletcher, had this made up some years ago for the edification of his students.
You can see three heads, made to fit a standard Boehm flute. One has the standard Boehm head bore, one is perfectly cylindrical and one has a more extreme taper. So, these illustrate to the player the need for the right taper - both the cylindrical head and the extreme taper head resulting in pretty sad tuning.
Secondly, the heads come with a rotating embouchure sleeve. All of the heads have the usual "rounded rectangle" embouchure holes available, in a range of sizes. The standard taper head also has a second embouchure sleeve offering circular holes. Neville was interested at the time (20 or 30 years ago) in modern rectangular holes and circular baroque holes - no-one in the world of acoustics then would have been interested in the 19th century elliptical hole. How times have changed!
So, ignoring the cylindrical and extreme taper heads for now, we have these options available for your delectation:
- circular, 8, 10 & 12mm holes, straight bored
- rounded rectangular, 10.6 x 12.6; 10.9 x 12.6 & 11.9 x13, undercut
I guess some day I should get to and make a set of elliptical holes to complete the set for our purposes. I'd probably do it for a cylindrical head that could fit a conical body though.
I know it's not as good as being here, but if anyone has a specific query about how any of these heads or embouchures work on a Boehm flute, I'll try to answer it.
I'm interested though in the question that seems to be vexing some - what did Cubitt mean by round and oval holes? Is there a choice to be had anymore? I suspect that none are offering perfectly round holes. Are any makers still offering elliptical holes (as made by Rudall Carte, etc in the late 19th, eary 20th centuries)? I would have thought that all modern makers were using a rectangular hole, rounded to varying degrees. With perhaps a Two Semicircle approach being closest to round. But I'd be fascinated to find otherwise!
Getting back (at last, you say!) to Cubitt's original question, the more area of the embouchure, the louder and brighter (all other things being equal). So a more rectangular hole will be louder and brighter than a circular hole of similar diameter. Too small a hole and the flute will be stifled. Too wide a hole and the player will have difficulty with focus. But as others have pointed out, there is as much happening below the surface as above. Undercutting serves different purposes on all the four surfaces of the chimney. The amount of the undercutting matters. The depth of the chimney matters. Whether the chimney wall is straight or curved matters. Both acoustics and aerodynamics are at play. It's hell in there!
Terry