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Lap Steel with 24" Scale

Posted: 21 Feb 2014 5:09 pm
by Roger Hinton
Hi all,

I have been rebuilding a lap steel that my Dad made several years ago. It has a 24" scale, but the fret-board will not work with the changes I've made.
I looked up the formula to calculate it myself, but I would like someone who knows more about the proper scale and alignment to check my math before I print out a final fret-board design for it.

Below is an image of the spreadsheet. I gave up trying to insert a text or html version...

Thanks

I took out the image to save band width...

Posted: 21 Feb 2014 5:22 pm
by David Venzke
Hey, Roger,

You could have saved yourself all that math by using a fret calculator, like the one at Stew-Mac.com:

http://www.stewmac.com/freeinfo/Referen ... tcalc.html

You'll find that your math is off somewhat. With a 24-inch scale, the 24th fret would be located at 18 inches.

-Dave

P.S. I generally convert my scale length to millimeters and then calculate that way for greater accuracy when I lay it out.

I could have...

Posted: 21 Feb 2014 5:28 pm
by Roger Hinton
I really like a challenge... The web is so full of garbage these days you can never be too careful with downloads. I should know, I work on computers for a living...
I plan to print out a full scale photo quality image at 2400 dpi and cover it with clear Plexiglas. I want to make sure it is aligned properly.

Posted: 21 Feb 2014 11:46 pm
by David Mason
Here's one that will lay it out for you (I haven't tried it though):
http://www.ekips.org/tools/guitar/fretfind2d/

Here's the one I like, because it'll list both the distance from the nut and from the bridge:
http://windworld.com/features/tools-res ... calculator

Posted: 22 Feb 2014 12:53 am
by Jouni Karvonen
I used this:
http://www.ekips.org/tools/guitar/fretfind2d/
to photoprint 24 ½ fretboard, I drew that on 1:1 pdf in InDesign.


Image

It Figures...

Posted: 22 Feb 2014 6:16 am
by Roger Hinton
Well, thanks for the replies. Using the calculators at the links provided I see that my numbers are off a bit. I just don't get why if I do the math myself it doesn't add up correctly...if rounded to the nearest thousandth...

Re: It Figures...

Posted: 22 Feb 2014 12:46 pm
by Rick Aiello
Roger Hinton wrote:Well, thanks for the replies. Using the calculators at the links provided I see that my numbers are off a bit. I just don't get why if I do the math myself it doesn't add up correctly...if rounded to the nearest thousandth...
The Rule of 18 ( well, of 17.817154) ... Is a "shortcut" for the following equation:

Distance from nut to Fret 1 = Scale Length - (Scale Length / twelfth root of 2)

Ex: For a 24" scale ....

Distance from nut to Fret 1 = 24.00 - (24.00 / 1.0594.. ) = 1.347"

.........................

In your spreadsheet ... It should go:

X = 24.000

F= 24.000 / 17.817154 = 1.347 (distance from face of nut to fret 1)

Therefore ... 24.000 - 1.347 = 22.653 ... The "new" scale length

Then ...

X = 22.653

F= 22.653 / 17.817154 = 1.271 (distance from fret 1 to fret 2)

Therefore ... 22.653. - 1.271 = 21.382 ... The "new" scale length

Then ...

X = 21.382

F = 21.382 / 17.817154 = 1.200 ( distance from fret 2 to fret 3)

Therefore ... 21.382 - 1.200 = 20.182 ... The "new" scale length

Then ....

X = 20.182

F = 20.182 / 17.817154 = 1.133 ( distance from fret 3 to fret 4)

Therefore ... 20.182. - 1.133 = 19.049 .... The "new" scale length

Then ...

X = 19.049

F = 19.049 / 17.817154 = 1.069 ( distance from fret 4 to fret 5)

Therefore ... 19.049 - 1.069 = 17.980 ... The "new" scale length

Etc, etc, etc

Somewhere in your spreadsheet, something went wrong in the first few calculations ... And the error compounded itself ...

Hope this helps ... :mrgreen:

Posted: 22 Feb 2014 1:16 pm
by Bill Hatcher
about 30+ years ago i bought an 24" machinist rule that is graduated in 4 different fractions.....one being 1/100ths of an inch. i have the old hideo kamimoto repair book that has a bunch of fret scales all done. i just lay the rule on the edge of a freshly jointed fret board and swing the lighted magnifier over and just put a scribe at each fret reading from the distance from the nut column. then i deepen it with a razor knife and then move to the radial arm saw where i have a blade that i took to a saw sharpening place and had ground down to .020. easy to match the thin blade up with the scribe mark. here is a pic of cutting some slots.
Image

here is a simple fret calculator. man this is easy! just put in your scale and bam!
http://www.harpkit.com/category/fretcalc.html

Final Result

Posted: 22 Feb 2014 7:02 pm
by Roger Hinton
Just wanted to share the final result of all that math and headache for nothing...

Thanks for the posts of fret calculators. That really saved the day.
----

Image

All of the gold parts look 3 dimensional in the full size image. The inlays look sunken down and the frets look raised up... I hope it looks good when installed anyway...

Oh... And I found the error in the math...

It was an ID-10T error