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2012-01-23

Making the bridge

I also began making the bridge.
After assembling my assort of bridge blank, I discover all my IRW bridge blank are purplish in color.
The back is more brownish in color.
But in the end I chose a slight purplish blank, but taps well and the grain line matches the back

My assort of bridge blank

The final three candidate, which one is the chosen one? Make a guess.

I saw the blank to size and shoot the edges square.
I also measured the amount of curvature require on the underside (about 2mm) to fit the top.

Shoot a reference edge

Mark the size of the bridge

Saw to size

First I marked out the 650mm position on the top.
Then I put in the fingerboard and place a 3mm action on 12th fret (my Aluminium bar is just nice 3mm)
Placing a straight edge from nut to 650 and then measure the displacement from the top.
It's about 10.4mm for the string height.
This is a nice height: If I include 1mm for the fret crown height, it's about 11.4mm
When I lower the treble to 2.5mm the final height will be about 10.4mm
And take away 1mm taper for the bass and keeping the action at 3mm, the final height will also be 10.4mm.
It worked out just nice.

Neck Geometry
I believe not a lot of guitar making books cover this aspect of guitar making.
Basically is the dimensions of the components that will affect the geometry of the action (@ 12th fret)

There is a great discussion over at the Declamp forum on this.

The components that affect the action includes:
@ nut position
- fingerboard thickness
- nut excess height: assume same as fret crown height.
- neck angle elevation - height extra from parallel plane of reference
@ 12th fret
- action
- fingerboard thickness
- fret crown height
@ bridge
- top doming
- bridge height
- saddle excess height (protruding from bridge)
The relation of the 12 th fret is 1/2 difference between the bridge and nut height

The diagram below should help for a better picture of the geometry

Neck angle diagram



action + neck angle = 0.5 [ (string height + doming) - (fingerboard thickness - fret crown height) ]

action = 0.5 [ (string height + doming) - (fingerboard thickness + fret crown height) ] - neck angle




Some mistake in the formula above, correct version is as show below:


The derivation


Nut:
Fingerboard thickness + Fret crown + Neck angle

Bridge:
String height + doming

12th fret:
Action + Fingerboard thickness + Fret crown height


If we take away the FB + FCH from all, we have

Nut:
Neck angle

Bridge:
(String height + doming) - (Fingerboard thickness + Fret crown height)

12th fret:
Action

If we remove neck angle from all again, we have
Nut:
0

Bridge:
(String height + doming) - (Fingerboard thickness + Fret crown height) - Neck angle

12th fret:
Action - neck angle


The relation of 12th fret is 1/2 of that the bridge, we have

Action - NeckAngle = 0.5 [(String height + doming) - (Fingerboard thickness + Fret crown height) - Neck angle]



Action =
0.5 x [(String height + doming) -
(Fingerboard thickness + Fret crown height) - Neck angle]
+ Neck angle




And when we analyse often we need to analyse the bass side and the treble side.
The bass fret board is usually 1mm lower than the treble side so the equation will shift.

This equation will help to determine the doming in the solera how much to dig into the lower bout depression. :)
My doming used is about 5mm.
Of course all these are in theory, in practical, the doming on the top may not exactly follow the depression on the solera, so the most practical is to measure like what I did, the exact string height above the doming.

Measure the string height at 650 mark

10.4mm it says

A glimpse of how it looks finally

Another view

I also prepared the caul for gluing the bridge.

Sawing the slots where the braces pass thru'

Done.

Well since while waiting for the glue to dry on the binding, I continue with the bridge making.
I chose another blank one that is more brownish instead of purplish.
After weighing the same blank I discovered that it was heavier than the previous blank.
In this case I think it is helpful to have a slightly heavier blank.
The new blank of the same size as the previous one weight about 51g the older one is about 46g.

For a start I measure the doming of the top which is about 2mm
I scrape the center part of the blank and push outwards to the wings.
Finally I sanded it on the top with a sandpaper underneath to get an exact fit.
After the doming are fitted, I routed the slot with my B&D RTX and the Stewmac precision router attachment.
The 2 Aluminium bars are clamp to act as a guide.

Then I started to shape the wings with chisels.
I saw multiple slots in the wings and remove the waste by chisel.
This is a woodworking technique I learn when making dados and will prevent big chunk of wood from chipping out.
Finally I started to shape using the rebate plane that I had :)

Measure the amount of doming to impart to the underside of the bridge.

It's about 2mm

Scrape the center part of the bridge blank.

Final sand to fit.

The bridge's doming fitted to the top

Routing the saddle slot

Another view. The 2 Aluminium bar act as a guide.

Saddle slot routed

Sawing the boundary of the tieblock region

Multiple slots are sawn to aid the chiseling and to prevent big chunks from tearing out during chiseling

Chiseling the waste

Most of the waste are removed.

Shaping with the rebate plane

Almost done. More to go to shape it nicely actually.

This bridge blank matches the fingerboard shade nicely.

More of shaping the wings and thin it to about 4mm.
Now one side is about 5.x mm the other side 4.x mm
Care must be taken to ensure the wings aren't dished the profile should smooth.
I use the following tools:
scraper, rebate plane, rasp, file.
Finally once the thickness is achieved, sandpaper.
I make sure I leave an edge of about 1mm and not over thin the edges.
For the ends, I will make a slight curve to ensure that the bridge does not stress on one particular grain line on the top.

Scraping the wings. Be careful not to scrape just a spot, it's pretty easy to dish a depression in the wings.

The bridge wings almost done.

Wing profile (bass side)

Wing profile (treble side). Can see that the profile is not symmetrical

I had some time and use the rebate plane and scraper to correct the profile shape of the wings.
Now it looked much better
But again the weight is still about 36g still a bit of weight to shave off.
The wing profile is much better now

From the other side.

After the wing profile looks correct, I began to cut the central groove.
Originally I had plan to use the RTX to route the central groove but I didn't had time to set it up.
So I just use a guiding block and saw the tie block edge and chisel the rest.
So far no mistake as yet.
I weight the bridge it was 32 g abit over my expectation.
I had anticipated it to drop by a bit after I remove wood from the central tie block region.
But the weight didn't drop too much.
I might have to thin another 1 mm from the tie block and the saddle slot block.

A guide block for the sawing.

Sawing the tie block boundary

Slot sawn.

Chisel the shape of the saddle slot block. It should slope down to facilitate string pass thru' the hole at the bottom of the tie block.

Almost done. The weight now is 32g; a bit on the high side.

More of trying means to reduce the weight and finally I manage to get it near 25.7g
Not bad.
1) Reduce the tie block weight
2) Ridge the saddle block and tie block region
3) Reduce the entire width of the bridge but more of the tie block side.
We need the saddle front block to be thick (at least 4mm thick) to withstand the forces of the string pull on saddle.
4) Reduce thickness of the wing to 4mm and possibly 3mm thick (Now is about 4mm)
I will make the saddle groove deeper (now is about 3mm) and the ridge between tie block and saddle block deeper too.
This will probably bring it down to below 25g

Carve the ridge between the saddle block and the tie block.

Reducing the thickness of the tieblock to about 9.3mm. It was about 10.5 mm

Profile of the saddle block and tie block. 99% done.
I would probably increase the depth the ridge between them.

25.9g Almost there.

Yeah after doing several things the weight of the bridge is reduce to 23.6g.
It's within target but of course it can be reduced further.
My last bridge was about 21g
What I did was:
1) Increase the groove between the tie block and saddle block by chiseling.
2) Route deeper the saddle slot.
3) Thin the wing
4) Reduce the length of the bridge to 52mm per side from tie block. It was about 57 - 58 mm or so.
5) Curved the ends so that the end doesn't sit on one grain line and cause stress to the spruce top.

Now it look good.

23.6g within target.

Curving the ends of the bridge. This ensures that the bridge doesn't stress on one grain line on the top.

Profile the saddle block and tie block. The saddle groove was deepened.

OK the final saga of the bridge making; err... almost final saga.
I managed to reduce the weight to 21.3g which is about right.
My previous bridge was about 21g.
I thinned the wings, taper the ends, reshaped the back saddle block.
After checking the actual saddle allowance on the guitar, I reduced both tie and saddle block to about 8.5mm.
This will protrude a correct saddle height of about 2mm or so.

Tapering the ends of the bridge with a honing guide.

Final shape of the bridge; the ends are tapered but not really symmetrical (need to improve on that aspect)

21.3g

Profile of the saddle block is more rounded rather than having straight edges

Checking the saddle allowance.

Treble side

Bass side (need to add an additional 1 mm) as I only assume 3mm at the 12th fret

Treble side

Just a glimpse on how the guitar will look like.

While waiting for the binding to dry, I work on the bridge tie-block inlay.
Hehe no surprise just a series of square blocks with the signature color: brown red white.
But for the white color I am using MOP instead.
I use wooden blocks and clamped it to the workbench and make into a shooting board.
But with the same width as the MOP pieces 5mm.
By using this setup the 3 pieces IRW, Bloodwood can be shoot to the same width.

Then I saw the pieces into roughly a square.
No miter box just use eye to judge.
After that I lay out on the tie-block to see if it fits.
Now to consider what glue to use.

I roughly weigh the bridge it's about 24g!!!
Hmm.. after shaving the excess it should be around 23g?
Well maybe I should reconsider putting the inlay on the bridge.

Shooting the strips to the same width

Tiles laid with bone perimeter. Hmm bone doesn't look too good.

MOP perimeter looks better.

The tile sequence re-arranged.

The estimated weight with the inlay is about 24g! That's kind of too much.

2012-01-13

Tuning the box

I recorded some tap tone and analyse the frequency.
The top resonance is a high B3 253Hz and body resonance B2 123Hz
It's higher than I had hope for, Now I might just shoot for a heavier bridge to bring down the resonance or thin the perimeter to bring down the resonance.


Body resonance @ 123 Hz B2

Top resonance @ 253 Hz B3

I began to sand the top to bring down the resonance mainly on the lower bout perimeter.
After some vigorous sanding, I manage to bring down a few Hz; still have a long way to go.

Sanding the top.

Body resonance after sanding

Top resonance after sanding

After somemore sanding the resonance points didn't change too much and I realise I can't sand anymore.
The edges are too thin about slightly over 1 mm.
Now what I can do is to reach in and shave down the braces but before that I need to consider what other actions to take.
I could try to shave the back braces to increase the back coupling.
The body resonance should be within range but top resonance is a bit too high.
Anyway I think I just do up the binding and glue in the bridge.
If need to I adjust the back bracing to add more coupling.

Body resonance @ 106Hz G#2

Top Resonance @ 247Hz B3

Top Resonance @ 214 Hz G#3

After binding and purfling are glued and the bridge is on, the final resonance range is
Body: 104 Hz T(1,1)1 Top: 195 Hz T(1,1)2 and 227 Hz T(1,1)3
According to Trevor Gore (an Aussie Luthier who deal with tuning guitar in a more scientific method), the average values are 100, 190, 240; mine is quite close.
What Trevor aim for are 3 to 4 semitones apart for T(1,1)2 and T(1,1)3
Mine is a G and A about 2 semitones apart.
Let's see how it sound and I adjust later.
This is an active back so you can see 3 peaks very distinctly.
If non-active back, the 3rd peak will be heavily suppressed.
I think the active back does work, it makes the guitar have a fuller tone
(I only managed to hear a while the sound of the open strings before the bridge gave way)

T(1,1)1 Body resonance (or Air resonance)
104 Hz G#2

T(1,1)2 Top Resonance
195 Hz G3

T(1,1)3 Top Resonance
227 Hz A#3

2012-01-05

Closing the box

Well before I can close the box, I need to figure out how...
My solera doesn't have slots so I can't insert my F-clamp to clamp the back like what I did for the last round.
Only my big F-clamp (which I only have 4 of them) can reach in just far enough to clamp.
I will use those for the tail block and heel.
For the rest, I still are unable to figure out how to clamp.

One of the way is to use strings.
So I tried a dry run to see how long I need.
I clamp the solera to the bench top.
Note that the solera is very heavy so I clamp onto it length wise the weight of the bench top won't topple in this way.
After that I proceed to use the string to clamp.
It took about 15 mins and that's way too long.
So I think I won't be using strings...
Any good way?

I did note that once the 2 big clamps are applied to the heel and end block area, the rest of them doesn't really need much clamping down.
So the go-bars might just do the trick.
I'll try that next...

Strings to clamp the back. The wedge is to increase the string tension

Solera clamped to the bench top.

Before I close the box I tap the back and compare to the sound clips which I have tapped and recorded before I added those radial braces.
As expected the pitch is much higher than the previous tap tone where there is only the traverse brace.
So I decided to lower a bit more.
What I am looking for is a deep bass growl.
The previous tap just sound a bit too high in pitch.

Radial brace profile.
Lower towards the external edges

Overall profile

After trying various ways... the easiest is to use go-bars :)
Initially I thought go-bars doesn't have the strength to clamp down properly.
But I was wrong.
If one bar is not enough then simply add another.
The seam between the back and the rims are tight.
Think I can start closing the back all preparation are set.
Stay tune. (I took a pic but it was blurred so no pics to show the dry run process)

Well now is the real thing.
As I need to work fast I get everything prepared.
All the go-bar by the side within reach; the back marked to help with the alignment; the wooden block within reach; HHG all heat up ready to glue.
Before gluing I heat up the gluing area.
Then with quick hand I apply the HHG, and it started to gel already by the time I finished applying thru' out the rim.
I use the hairdryer to heat up further before gluing the back.
After a quick alignment, I began to put in the go-bars.
Luckily with the dry run, I realised I had to start from the inner side (though it's common sense, it's easily forgotten w/o dry run practice) to facilitate fast application of the go-bar.
After some adjustment I am all set all within 2 or 3 minutes or so.
Much faster than using strings.

Ready for closing the box.

Heat up the gluing surface

After applying the glue, heat up the HHG before closing the box.

Applying the go-bar to clamp down the back.

Can see the upper deck of the go-bar deck.
It was adjusted up to cater for the taller back.

Closeup view

Well after 1 day's of gluing, I excited removed the go-bars and examine the result.
So far ok though it's not really perfect.
There are some gaps in the closing but none too big.
I trim off the excess edges using my favourite rebate plane and chisel at the waist.
Next to come is binding and purfling but that's another big headache.

Removing the go-bar

Close up view

At the waist

Lower bout

Trim off the excess edges

Can see the doming of the back

The back

Side profile