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So I developed a formula...

 
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Evil_Intentions
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PostPosted: Wed May 18, 2011 3:05 pm    Post subject: So I developed a formula... Reply with quote

That calculates the Volume of a fipple flute(ocarina...pipe flute etc.) needed to produce a predetermined note or key.
Ingenious? or just sad?

V = 1/ (((F/2148.14)^2)/D)

I've also developed a small program that performs the math automagically. And I have run 5 tests with paper ocarinas and made 2 wooden ones, all prove my formula.



Ain't it cute?

What to do from here? I've released the formula and program on TON for public use. Should I make some more Ocs? Summer is coming up and I need a little hobby. I'll also be working at a lumber yard which is oddly convenient.

If anyone[read: music nerds] has a tuner and would like to help test, attached is a paper ocarina which should be tuned to a C. Just don't resize it, it will fit on one piece of paper.



cCube.png
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Channel GannoK
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PostPosted: Wed May 18, 2011 3:07 pm    Post subject: Reply with quote

Describe the variables please.
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Haxory'
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PostPosted: Wed May 18, 2011 3:07 pm    Post subject: Reply with quote

How does this paper work?
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Evil_Intentions
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PostPosted: Wed May 18, 2011 3:09 pm    Post subject: Reply with quote

Quote:
To use my method, you MUST have your fipple hole size determined. Note: for many reasons this method will work best with a rectangular ocarina

My predetermined fipple hole is 1/2 inches wide X 1/4 inches. Making an area of 1/8. We need to get a DIAMETER from this, even though i am using a square fipple.

so pi*r^2 = 1/8

r = sqrt(1/8) / pi
Diameter = 2(sqrt(1/8)/pi)

so my fipple diameter is about .4 inches. and about is good enough here.

-------------------------------------------------------------------

Now that the diameter is found, we will use an equation to find our desired volume.

V = 1/ (((F/2148.14)^2)/D)

where F is your frequency in hertz (reference) and D is your diameter that you found.

If you plan on making a 10 or less hole ocarina, then your frequency will be the one desired (523.25 for C5)
if you want a 12 hole oc, which means sub holes, then you want to use the note two notes below the tonic of the scale you wish to create. (i want a 12 in C5, so i use A4,440, as my F)

so i plan on making a 10 hole in C. The rest of the tutorial will be based on this.

-----------------------------------------------------------------

so in my case, my equation will look like this:

V = 1/(((523.25/2148.14)^2)/.4)

so let me simplify/work this:

V = 1/(.243583^2/.4)
V = 1/(.059333/.4)
V = 1/1.48331
v = 6.74168

So my volume SHOULD have to be about 6.8 cubic inches. So my chamber will be a rectangle 2in X 4in X 17/20 in
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Haxory'
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PostPosted: Wed May 18, 2011 3:11 pm    Post subject: Reply with quote

Okay but how to make fipple?
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Channel GannoK
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PostPosted: Wed May 18, 2011 3:11 pm    Post subject: Reply with quote

This could helpful and quite a founding.
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Evil_Intentions
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PostPosted: Wed May 18, 2011 3:13 pm    Post subject: Reply with quote

Haxory' wrote:
Okay but how to make fipple?


Cut out that black square. That's the fipple. The mouthpiece should be straightforward. Cut out the 2 pieces, fold piece A and glue flush with B, then glue it onto the square fush witht he fipple

@GannoK thanks Very Happy
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Slugsnack
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PostPosted: Wed May 18, 2011 3:15 pm    Post subject: Reply with quote

and blowing into that should make a c note ? are you fucking kidding me. attach video please
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Evil_Intentions
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PostPosted: Wed May 18, 2011 3:19 pm    Post subject: Reply with quote

Slugsnack wrote:
and blowing into that should make a c note ? are you fucking kidding me. attach video please


I'm completely honest. Let me charge my camera batteries if it's too hard for you to tape up a box before calling me a liar.

Make sure to save the image to your comp and print from there, otherwise it won't be the right size

EDIT: It's all made and is playing a slightly sharp C. I used glue though, so Ima let it dry, I also will tape it with duct tape when I get home from Karate in about 2 hours. Then I'll make a damn video.
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