- math -
Greetings!! ^_^
Okay, picking up from where we left off in the previous post, today we'll be finding where the fingerhole placements should be, using the mathematical formula from two posts ago. Ready? Cool.
You might have noticed, that once you cut your flute to match the note of A, that the length is actually less than 15 & 3/8" from the plug's inner wall surface to the open end. This is due to another little bit of math - it's a little complicated to explain why right now, but we will go over that information soon enough - so, for the time being, to make a long story short;
The flute's body is ONE HALF the wavelength of the fundamental note, MINUS ABOUT 1/3rd IT'S BORE DIAMETER (in this particular case, that would be about 1/4", or .25 inches).
A good point to remember.
Okay, since this will be a flute tuned to A (A will be the fundamental note - the lowest note that this flute can play, with all fingerholes closed), and as this will have six fingerholes, the consecutive notes this experimental flute should have, starting with the fundamental note, and progressing upwards as each fingerhole is opened in succession, will be A, B, C, D, E, F, and G - very basic, as this is a learning exercise with this first experimental flute.
Now, keep in mind that this flute is *experimental* - don't expect your first flute to be a concert masterpiece - you *will* make mistakes on your first try, but it will still be playable, and any deviations in tuning can be rectified by how you play this flute, and at which angle of attack you direct your airstream across the blowing edge, bending notes to accommodate, where needed.
Here is where a quiz is called for - today, using the frequency number for each note (see previous post for the link to the site to find this information on), and dividing the speed of sound in inches (as mentioned two posts ago, this number is 13526.5) by the frequency number, then dividing that answer by two (halving it), you will get the number in inches as to where to put the centerpoints for each of the six fingerholes, measuring from the plug's interior wall face. These answers will be displayed in the next post.
Alright, that's all for now.... until next post, have a fun! ^_^
- math –
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Tuesday, February 19, 2008
One of the most basic formulas.... (cont.2)
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