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post #1 of 12 (permalink) Old 02-13-2010, 11:30 PM Thread Starter
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Default Peg Spacing

I am trying to figure the math out for spacing pegs. The issue is if you just dived the width by the number of pegs plus 1 (total width/(# of pegs+1), the spacing of the two outside pegs is larger than the spacing of the inside pegs.

Any one have a calculator for this?


Thanks
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post #2 of 12 (permalink) Old 02-13-2010, 11:46 PM Thread Starter
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Well i finally got my head around the math and I dumped it into a spreadsheet. If I find out that I got it right I will polish it up and post it.
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post #3 of 12 (permalink) Old 02-26-2012, 05:54 PM
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The way I would do it is to divide the length of the board by the number of pegs. Then I would start the first peg at half the distance of the peg separation. Like this: 24" board and 4 pegs- 24/4=6. Each peg will be 6 inches apart but start the first peg at half the distance apart which would be 3"s. thatway you will have pegs at 3", 9", 15" and 21". First and last peg will be the same distance from the end.

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post #4 of 12 (permalink) Old 02-26-2012, 10:15 PM
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What Mike said.
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post #5 of 12 (permalink) Old 02-27-2012, 05:14 AM
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If you want pegs evenly spaced from each other AND from the ends of the board it's:

board-length divided by (number-of-pegs + 2)
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post #6 of 12 (permalink) Old 02-28-2012, 06:22 PM
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Charlie, the hard part about doing it that way is then you would have to convert decimal to fraction and some fractions are not real numbers. If you have a 27" board and 5 pegs, your spacing would be 27/(5+2) = 3.8571428...
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post #7 of 12 (permalink) Old 02-28-2012, 07:09 PM
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Mike; do it in metric then. That's the whole point of metric.
(Never thought I'd see the day that I'd have something nice to say about metric measure...)
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post #8 of 12 (permalink) Old 02-28-2012, 07:55 PM
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Quote:
Originally Posted by Woodsnot View Post
Charlie, the hard part about doing it that way is then you would have to convert decimal to fraction and some fractions are not real numbers. If you have a 27" board and 5 pegs, your spacing would be 27/(5+2) = 3.8571428...
The nearest 1/16th of an inch is within 63 thousandths of an inch! If you can see that small an error, probably you don't need a ruler, let alone calculations. lol
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post #9 of 12 (permalink) Old 02-28-2012, 08:11 PM
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Quote:
Originally Posted by Woodsnot View Post
Charlie, the hard part about doing it that way is then you would have to convert decimal to fraction and some fractions are not real numbers. If you have a 27" board and 5 pegs, your spacing would be 27/(5+2) = 3.8571428...
OK, but .857 is really really close to .859 which is 55/64 and that's 1/64 away from 7/8.
And odd number of pegs means you have one in the center. Go out 3-7/8 each way from the middle and you place 2 more pegs. And 3-7/8 from each of those would place the last 2. And I'm betting they're so close you can't tell the end pins are 2/64 too close to the edge.

Decimal to fraction equivalents should get you so close nobody can tell.

OR... you can go metric. 27 inches is 685.8mm. Call it 698.
698 / (5+2) = 98.428
Millimeters are pretty small. I'd go out 98mm from center for 2 pegs on either side of center and then 99mm from those for the next pair.

I realize your 27" board with 5 pegs may have been hypothetical, but the math still works and you just need to get it into units you're comfortable with.
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post #10 of 12 (permalink) Old 02-28-2012, 09:27 PM
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Decimal to fraction equivalents should get you so close nobody can tell.

A good rope and knot system will get you close also I guess it's what you're comfortable using.

If the pegs are for joining two boards, it won't really matter where you put them because nobody will ever see them. ; )
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