This is just some of my thoughts about the chromatic (“outside the scale”) notes and how they are handled on different types of flutes which I play, the keyed simple system “Irish” flute, the Baroque flute which it descended from, and the modern Boehm-system flute, which is different from both in some ways.
Also, we’re talking first two octaves, here. The third octave on each of these flutes is obtained by overblowing and venting partials to move up to a higher harmonic, so the third octave is less straightforward when you are talking about patterns of fingering.
On the Baroque flute, you get the chromatics exclusively by cross-fingering, or closing holes below the first open hole that the note speaks through.
So for A in the first or second octave, xxo|ooo, you add fingers for A-flat or G-sharp like this: xxo|xxx in the first octave, and xxo|xox[Eb] in the second octave.
For B-flat you start with either octave’s B xoo|ooo , and you add in the first octave xox|xxo for B-flat or xox|xxx[Eb] for A-sharp, and in the second octave you add xox|ooo[Eb] for either.
So in a way, you’d think playing in flat keys would be easier, because to get the chromatics you think about the root note and then flatten it by adding fingers. However, because the chromatics involve so many fingers, and a different amount of added fingers for each note and in each octave, just scalewise movement in a flat key can be a real challenge: three flats is hard, four flats absolutely painful to work out.
So in real life, Baroque flute is easiest in sharp keys, though that may be counter-intuitive: the keys of A and G are easy, and E is harder but still four sharps is much easier for me than four flats on the Baroque flute.
Ok, then we move forward in time to the keyed simple-system flute, which is actually quite a different beast. Now to get the chromatics, you add a finger (on a key) to sharpen a note.
So for G-sharp or A-flat, you finger G xxx|ooo and add the G-sharp key xxx[G#]|ooo in either octave. A-sharp or B-flat, take A xxo|ooo and add the B-flat key x[Bb]xo|ooo, again in either octave.
So the keyed simple system flute is a breath of fresh air by comparison to the Baroque flute: the fingerings are the same in both octaves, and chromatics involve adding only one finger to sharpen a diatonic note.
Of course, one note on the Baroque flute worked like this: E-flat or D-sharp can’t be cross-fingered on a flute, so there had to be a key for it, which would raise D to E-flat when the touch was depressed. This was retained on both the keyed simple-system flute and on the Boehm flute.
So on the keyed flute, it sounds like sharp keys would be very easy and they are: playing out to five sharps is not difficult. Also flat keys are made easier as well by comparison to the Baroque flute, and playing out to four flats is made much easier. (At five flats or sharps, on any flute I really have to concentrate just because of the amount of notes you have to keep track of.)
The disadvantage is each key is more homogenous than on the Baroque flute, where each key had its own flavor and feel. Historically, that makes sense, because as we move forward in time we are moving toward the equal temper which is the “standard” (at least for pianos and silver flutes) today.
The Boehm-system flute is a different beast, and its fingering with the exceptions of A-flat / G-sharp and E-flat / D-sharp actually moves back towards the fingering of the Baroque flute, in that you add a finger to flatten the note above the chromatic you want, although on the Boehm flute because of its mechanism there’s no predicting which finger you’ll have to add. For F-sharp, for instance, start with G xxx|ooo and add either R2 or R3; for B-flat add R1 or the thumb key. The mechanism itself dictates what finger you add.
So for B-flat, you start with B x[T]ooo|ooo, and add either the thumb B-flat x[Bb]oo|ooo or R1 x[T]oo|xoo .
G-sharp and D-sharp are “exceptions” and are handled like their counterparts on the old flutes: for G-sharp, start with G xxx|ooo and add the G-sharp key: xxx[G#]|ooo. For D-sharp, start with D x[T]xx|xxx and add the D-sharp key: x[T]xx|xxx[D#].
Like the keyed simple system flute, the Boehm flute is actually pretty easy to play in any key. Chromatics involve single-finger changes from their root note, and the fact that the flute is equally tempered means that there’s no particular hoops to have to jump through to get any certain key in tune with itself. Of course, the downside is, like a piano, every key is deliberately and intentionally a bit out of tune, which is the downside.
Just thought I’d share these rambling thoughts.
–James