Hello everyone!
Just discovered this forum today, and it looks great! I can see myself coming back for sure!
Secondly...
I'm having some real trouble with the intonation on a miniature (1/2 size?) 'guitar' I acquired. I realise these things are banged together in china for about 20c a pop and don't expect much from it... but it is a great size for taking traveling, and i don't have to worry if it gets knocked around a little.
The thing that's got me stumped is that when i first got it the intonation was almost perfect... it was as good as any equally tempered instrument i'd heard, (the other 5 'identical' guitars in the shop were rubbish!) but it seemed they'd gotten one right. so i handed over my $18 and went home happy. Played it quite a lot, sounded great... (well... sounded in tune, rather.

THEN... I got a dumb idea. "It's not very loud... what if i but a pick-up in it?" ..."i have a few spares, and some jacks, and pots, i could amplify it and more people can sing!"
All of which went quite well... until it was time to re-string it. Since i just bolted a standard electric guitar pick-up to the soundhole, it seemed logical that i would need to put some steel strings on it, rather then the fishing line it came with (I quite like nylon strings... but i'm pretty sure those things weren't nylon...!)
chucked the strings on plugged it in... woohoo sound!
oooh needs a tune though... woohoo sound!
ooooh... guess the strings need a bit more of a stretch... woohoo!
oooooooooh... 3 of the strings must be slipping.... woohoo?
oooooooooooooh... ?? I must be goin tone deaf?
i'll try tuning the open strings to eachother?
try tuning them all to the low E....??
eventually i tried checking the open strings with the 12th fret and the fretted note is a semi-tone higher than it should be!!
got out the tape measure...
The nut to the bridge is 825mm <--(when measured correctly it's actually 480mm)
distance between nut and 12th fret 425mm <--(really 243mm)
and 12th fret to bridge obviously 400mm (...237mm)
string clearance at 12th fret is 3.5mm
I've always used my ears for setting up the intonation on my electrics so i'm not totally sure on how to do it with a measuring tape... but the distance to the crown of the 12th fret should be half the string length...? right...?
which would mean either the string needs to get 2.5mm longer on the bridge side... or 2.5mm shorter on the nut side?
i tried using a nail as a temporary nut to find where i might need to relocate the nut to... but the 12th fret didn't sound in tune until the nut was moved about 14mm!! half-way to the first fret!
I feel i'm obviously overlooking something...? the stretch of the strings...? This was just meant to be a fun little project... it certainly doesn't need to be perfect... but now it's unplayable.
If anyone has any advice on how to get it back to playing in tune, or anyother measurements they would like me to take i'd be happy to supply them...
edit* fixed up the whole millimeter/centimeter thing... thanks jeff.
Thanks for your time guys,
-Adam