The common natural fret positions are at a sixth, a quarter, a third and half of the scale length, or on a 24 inch scale 4 6 8  and 12 inches. Does anyone know a simple way to get other natural fret poitions?

On my 24 inch one fret per inch vs Stewmac spacing experimental build it is easy to see the way the tempered 3 5 7 and 12 frets almost allign with the 4 6 8 and 12 inch natural positions respectively, though I must admit I was surprised by the allignment of the tempered fret 4 with 5 inches.

I am thinking a natural dulcimer type scale would be useful so I am thinking I need to know where to put a natural fret to match the second, ninth and eleventh fret? The tenth fret blue note would probably be useful too.

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