I'm trying to put together a sort-of-recorder-ish fingering pattern. It's actually more like 'enhanced tin whistle' because without a pinchable thumb hole and half-holes the recorder's fingering can't be replicated. And why would you want to anyway, it's pretty nasty. So think of it as a super tin whistle fingering. I'm not going for fully chromatic crossfingerings, but a reasonable selection which lets me stray a bit away from the root key and play a much wider variety of tunes.
However, floating-point offsets are working slightly unexpectedly. Here's my setup so far (I have not added all the notes I want yet).
[recorder]
#
#Fingering patterns
finger 1 = open * +7.0
finger 10 = 2,2 * +6.5
finger 2 = 2,1 * +6.0
finger 3 = 2,1 2,2 * +5.0
finger 9 = 2,1 2,2 1,5 * +4.5
finger 4 = 2,1 2,2 2,3 * +4.0
finger 8 = 2,1 2,2 2,3 1,6 * +3.18
finger 5 = 2,1 2,2 2,3 1,5 * +3.0
finger 6 = 2,1 2,2 2,3 1,5 1,6 * +2.0
finger 7 = 2,1 2,2 2,3 1,5 1,6 1,7 * +1.0
#
#Additions (add to the base note in scale increments)
addition 1 = 1,8 * +7.0
#
#Modifiers (add a modifier signal), usually but not always in
#semitones for a scale
modifier 1 = 2,4 * -1.0
Now, "fingerer 8" is the odd one. It's supposed to represent a semitone below "finger 4". I initially tried it at +3.5, but that was incredibly sharp compared to the note expected, and compared to the note produced by playing "finger 4" using the flatten modifier key "modifier 1". +3.18 is slightly sharper, but not quite.
This surprised me, because I thought that EigenD worked using equal temperament, and half of an interval which is defined in the scale to be a whole tone would be a semitone, so I could just say +3.5 and get the same thing as +4.0 with -1.0 modifier on it. Clearly this is not the case, so I'd be interested in an explanation of what's going on here.
Or, would I be better off driving a chromatic scale with a fingering like this? In a chromatic scale setup, would "+2.0" reter to (if the scale root is D) a D#? I admit I've not actually tried that yet.