I actually build keyless chromatic flutes with a pinky hole and a thumb hole out of PVC.
The chromatics still have that “off color” typical irish/braoque sound, but the notes are all there, and you can still bend with them and all of that. The F natural (the thumb hole) is a touch difficult to throw into a fast tune, and really trick to do trills with, but sometimes it’s nice to have it there for playing in the key of F. Of coures, it does not have the flexability of a boehm flute, but it is not a boehm flute.
I’ve not officially hit the market as a builder yet. still perfecting and tweaking the formula. Men hvis du er intresseret, Jeg tro vi kan bearbejde noget. Noget billig. De er flote og lyde som de skulle. PM mig hvis du vil. (Jeg virkelig har brug for menneske at anmelde dem før jeg kan “go public”)
I’m not advertizing! I promise!
maybe…
Man, Danish rusty! had to get out the dictionary for that one. I think there are some errors in there. Anyway, hopefully you get my drift
Actually A would be 660. Sorry, the anal retentive math geek in me was screaming to reply.
The interval of a perfect fifth is the ratio 3:2 so the frequency of the A above D must be 1.5 times the frequency of the D.
Geeky physics stuff:
Going up the harmonic series is how we determine the intervals on which a Pythagorean tuned scale is determined (is it Pythagorean?).
Take the harmonic series on the C below middle C (in abc notation):
C, C G c e g _b c’ d’
(the b flat is approximate - very flat in an even-tempered scale)
The frequency ratios of the intervals is
octave: 2:1
fifth: 3:2
fourth: 4:3
Maj third: 5:4
Min third: 6:5
(Don’t ask me why I insisted on pontificating here - I’m tired and I don’t want to do my real job today).
(Also, please correct me if I’ve got something wrong, but the above is how I remember it)
My advise would be to use the tempered tuning to build your flutes. In the tempered system all of the intervals between each note in the chromatic scale are exactly the same. This is not true with Just intonation. The tempered system allows instruments to be played in other keys without needing to retune the instrument.
With regard to flute construction the fixed position of the finger holes are similar to the fixed keys on the piano. Using a tempered scale you can use a D flute to play in several keys and still be in tune.
Also, tempered tuning is now the international standard. So, if you intend to play with other instruments, you need to have a tempered scale.
Guess it depends on how well-tempered you are!
. No D= 440 allowed. The very thought makes my head hurt).