Making sense of
the numbers with
DeltaGraph

 

Definitions of Terms & Charting Method


"Dani-15"
"Megan-17"
"Juluka-20"
(try the music at: Juluka Tunes )
"Rue Bear-31"
"Michele-30"
"LSC-36"
"Mariathan-39"
"Sparky-43!"
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The following applies to the HyperHarp data for the harps listed at right above.
At present, all measures are in US inches (okay!  I'm working on metric...)


Column
What does it mean?
SBHole: The linear measure from top string down the face of soundboard or stringband to each string o/c.
XStr:
The horizontal (x) o/c location of strings.
YStrSB:
The vertical (y) o/c location of strings at intersection with soundboard.
YStrTop:
The vertical (y) coordinate marking tangent of string to bridge pins and vertical center of bridge pin holes.
XBdgPin:
The horizontal (x) coordinate of the bridge pins.
XT-Pin:
The horizontal (x) coordinate of the tuning pins.
YT-Pin:
The vertical (y) coordinate of the tuning pins.
YLvr:
The approximate vertical location of the levers (may change depending on exact final dimensions and belly action)
Other Labels
These values pertain to the physics of the vibrations and selection of the strings
Str#:
String number
Note:
Note label with c' as middle C noted as c'-m
Hz:
Frequency
Length:
String length from soundboard to vertical center of bridge pin (or tuning pin if no bridge pins)
Type/Diam:
Type of material and diameter of string.
Ten:
Tension of string in pounds at pitch.
%Ten:
% max tensile strength of tension.
T/L:
Tension to length ratio (which in most books should be > 1.0)
Delta:
My own HyperHarp value for determining transition strings.  It is a function of force to displace string to a constant angle of about 1 degree (depending on length of lowest string) as modified by the distance deflected and minus the mass/diameter of the string (details on request).  As you might observe, this is a gradually increasing value that should plot out to a straight line with a 5 degree slope in an ideal world.
How to...
I use DeltaGraph 4.0.5, but any program that can create multiple line x-y pair charts will work (I think).  I can only give instructions for DeltaGraph and, of course, the old standby hand-method.
  For DeltaGraph (DG) do the following:

Paste the Str# column into the "label" column of the DG spreadsheet;

Paste each column noted above into its own DG column (XStr in "A", YStrTop into "B", etc...).

Select the columns by clicking in the top label area of each PRECISELY in this order while holding down the Mac Command Key (or PC Control key):


Str# > XStr  YStrSB > XStr  YStrTop > XBdgPin YStrTop > XT-Pin YT-Pin > [XStr YLvr]

NOTE:  This is not an error!  You click XStr once for each x-y pair which uses the string x coordinate.
As you can see, the Str# is the label or category, and the rest are paired x's and y's.  Levers are optional as you will have to fit them precisely after final string up.


Select "Chart Gallery" from the DATA menu (in data view) or from the CHART menu (in Chart view);

1)  Find the "2-D Scatter" group of charts;

2)  Select "Paired Scatterline"

3)  Select "OKAY"

Bingo!  Now you will have to re-scale the default template chart.  Do this:

1)  Select the chart with a single click.

2)  Select "Axis X" in the CHART menu... Take note of the max and min values (DO NOT CHANGE THEM); these tell you the dimensions of the horizontal dimension of the harp in inches.  Let us call this dimension "Width"

3)  Select "Axis Attributes" in the widow.

4)  Change the x axis length to a fraction of "Width" -- I use a divisor of 8 as it allow most harps to fit on a single 8x11 page.

5)  Do the same for the "Axis Y" measure, setting this time for "Height" with the same divisor.

6)  If you are using 8 as your divisor, your harp chart will now be exactly scaled to 1:8.

Clean up the chart: 

1)  Dbl-Click one of the "symbol markers".

2)  In the window change them all to a round symbol (I use the DeltaGraph equivalent of "O")

3)  Click OKAY

4)  Choose "Ticks & Grids" from the CHART menu.  Deselect the Grids for both axes.

5)  Choose "Options" in the CHART menu.  Deselect "Show Frame".  Click OKAY.  It is up to you on how you want it all to look.

6)  Select "Libraries" in the FILE menu and choose "New Library".  Name it.  A palette appears!

7)  Drag your chart to the window and release.  Name the chart. You have a thumbnail of your harp.

8)  NOW You can create the same chart on a new page.  Create a new page and drag the small tumbnailed chart to the page and release.  You will automatically return to the Data view and all columns should still be selected (if not select them again in the same order).

9)  THEN change the Axis Attributes for x and y to the actual true harp dimensions.  This will produce full sized plans that will cover 12 to 20 pages depending on the size of the harp.  If you print the pages that account for just the neck portion, you can join with invisible tape and adhere them to a template board.  Draw the outer shape of your neck (entirely up to you, BTW).  Cut it out and and just drill at the locations.  And finally, you can begin to design your harp around the neck.

For the string band:

1) Create a dummy column after the last column with all cells, for each string, filled with value for half the width of your band (which for me is usually .375)

2)  Create another default "Paired Scatterline" selecting, in this order, Str#  >  Dummy  > SBHole.

3)  Set the Axis Attributes to the true dimensions and change the symbols to "O".  Viola!  A template for the stringband!

The rest is all up to you.  Your woodworking skills and knowledge of harp construction methods will dictate your final result.  I cannot help you on any of that, but I can answer any questions about HyperHarp or DeltaGraph.

By Hand:
Plot all values on graph paper with a sharp pencil... the original way as I have done for years...

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