haven't thought of a mitre box. i was more worried about making the joint between the neck and the head hold.
Here is my solution ...no glue, no cut and assembly ... only using grasp, knive, saw and so on ... and angle is enough.
Angling the neck slightly back really helps a lot...Ive done it on my banjoleles using packing under the neck where it sits on the body to get a better set up...banjoleles have a through rod to the base so you can slacken off and tighten...on my cigar box I made a small wedge on the though neck by the base...the neck is glued to the top of the box...tho my box is upside down so the back opens freely as thats the lid....with me???
Try out the bridge in place and with a long straight edge balanced on the bridge and going up to the nut..you will see the path the strings will take...make your decision from this...i think there are recommended distances strings should be from the fret board at the nut end and at the 12th
Its fiddly and you need a temporary build to find out what angle you will need
an angled peghead is not necessary to get proper string tension across the nut. 90% of what I build does not have an angled peghead. The trick I learned is to leave the strings long and wind them onto the tuning peg until it almost touched the face of the peghead.
If you want an angled peghead, the easy way is a scarf joint
Sorry my reply earlier was for Gary Decker but I cant find his thread
Last ones I made I had trouble setting the neighbor's table saw to the angle I wanted with a fence on the side I wanted it...while fighting with the saw I cut them at 30 degrees and wondered what would happen.
I had read that 15-17 was typical with guitars...I see someone here mentioned 11-15.
To put it into perspective, lutes (those old European bowl-back instruments) are nearly 90 degrees. I read some history on them and the luthiers used a somewhat higher angle with low-tension gut strings to guarantee a good positive contact with the nut...over time, it became extreme but is almost entirely style/tradition.
Many Fender guitar necks don't have an angle, at least not an angled miter 'scarf joint' (no idea why they call it that, but scarf and neck seem to go well together)...instead, the flat portion where the tuners go is thinner so there ends up being an angle from the nut to the tuners.
I think that is the critical part (and don't know if it is as critical with fretless instruments played with slides).
If you have clearance so the strings get where they are supposed to from the neck to the tuners, the nut 'break angle' which is the angle at which the string leaves the nut can be shaped later.
If you're using threaded rod and whatever else CBG'ers stuff under the strings for a nut, I guess a lot doesn't play by 'the rules'. If you have to monkey with something there it get it to work without buzzing and other rude noises, it's usually the angle the string takes at the nut & the saddle.
My 30 degree headstocks are kind of stagnating...I made some airplane tuner knobs and didn't anticipate how much turning radius they needed and had already cut the first headstock too short!!
I think I'll glue some kind of decorative contrasting wood on the short headstock to make it longer, and maybe a thin piece over the glued-together pieces so I don't worry about when I feel like it coming apart.
I will try a mitre box too...My hand cuts look pretty bad so I was hoping power tools would help the appearance.
I measure out 3 inches on the side of my 1X2 maple neckstock and mark off from corner to corner and then cut it with my bandsaw or tablesaw and then flip it as
Tom Drommond described and that gives me the perfect angle. You can get a plastic mitre box really cheap and make your own cutting slots according to your marks on your board. Hope this helps
Here is how I have done it. The system is from a YouTube video on building CBGs. This works, is strong and not too hard to do with hand tools.
Measure down about 4.75 inches from the end of the neck. Make a mark. Draw a line across the fretboard side of the neck. Make tic marks with a pencil on the 2 sides of the neck at the line you just drew. Draw a straight line from the tic mark to the end of the neck at the back side of the neck. That line will be the face of the headstock. With a handsaw, carefully cut through the neck following that line. When you are finished, the scrap that you have removed will be roughly a pie shaped wedge going from 0 to 3/4" over about 4.75". You then glue the scrap wedge to the back of the neck, being sure to glue factory face to factory face, thicker part at the end. Clamp and let the glue dry. Next, you will sand or file those 2 surfaces flat. Cutting with a hand saw is not going to be too accurate, but it will work out ok because you will remove around 1/8" from each of the two surfaces. The final thickness needs to be the proper thickness for the tuners to stick through with enough room on the spindle for a few wraps of the guitar string.
After that, you will want to add a 1/4" "ear" on each side with glue to make the headstock wider.
The weak point of a guitar is the headstock joint. With this method you will have a super strong joint that will never fail. That is due to the large surface area that you are glueing.
The last step is to trim the end of the headstock with your saw. I do this after the tuners are installed and I know exactly how long I want it to be.
I don't think you've added enough angle to make a difference besides cosmetic. The peghead break angle is used to increase the force holding the string in the nut slot. Increasing the distance from the top of the nut to the top of the peghead serves the same purpose. When I make my necks I use a piece 1/2 inch thick stock on bottom, a 1/4 inch filler and 1/4 inch fingerboard. That gives 1/2 inch drop from the nut to the peghead and is probably more break angle than you have with the scarf joint and shallow distance from the nut to the face of the peghead.