**2 duplicate topics combined.**

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.

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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.

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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

Thats it. I have not had a chance to test my theory yet, and plan to do so this weekend by building my first ocarina to these specs. This technique really only lends itself to rectangular ocarina making because you can cut a rectangular chamber with the proper tools.

Images of my plan thus far. Everything is to finished size exept the holes, but even those can be figured out exactly by using the above method. I will save that for later

The finished ocarina will be 2.5 inches wide, 4.75 inches long, and 1.25 inches thick. The inner chamber will be 2 x 4 x 17/20

This is all pretty straight forward algebra. I am a junior in high school and i CAME UP with this using a formula for helmholtz resonance with a given aperture, so i expect you to TRY to understand before posting questions. Tomorow i will be updating this thread with a program that will automatically find the volume for those who are mathematically challenged.

Reminder to readers: again, this has not been tested YET, but will most likely be done this weekend. I post it in the hopes that someone with the materials ready can give it a shot.

note to moderators: this will be posted on both the tutorial, and ocarina making forums to ensure max viewage. Feel free to delete the one you feel doesn't belong in that section.

Questions, just ask

Here is the program i promised. Makes the math quite a bit easier