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Note that for a more correct tuning, you wouldn't just add a fixed length to each pipe. Instead, the pipes should follow a geometric (aka exponential) progression. Each octave has pipes that are *half* as long as the previous octave. So if you started with a 20cm long marker for the lowest note, the note that is exactly one octave above that lowest note would require a 10 cm long pipe. The octave above that would require a 5cm long pipe, etc...
By the way, this is strictly speaking not a mouth organ, but a pan flute, named after Pan, the Greek god of shepherds (and... other things ;-)
A mouth organ (other than being a term for a harmonica) is an asian reed instruments, with a central air cavity, connected to a bunch of pipes played with the fingers - wonderful sound! Here are some examples: