Tuesday, July 22, 2008

Keyboard: Natural backs

Now it's time to glue down the natural back portions, but this isn't quite as simple a task as gluing down the fronts was.

It all boils down to the fact that the typical keyboard octave is divided into two unequal parts of 3 naturals (C-E) and 4 naturals (F-B) in front, while the back is divided into 5 and 7 parts, respectively, when the accidentals and naturals are considered together (C-C♯-D-E♭-E and F-F♯-G-G♯-A-B♭-B). Thus the rear part of the keyboard has a width of 3/5 of a natural in the lower part of the octave and 4/7 in the upper part: a paradox, it would seem.

What ends up happening depends on how one approaches the process of gluing on the natural key covers. It's possible to glue down one-piece rectangles that are as wide as the key fronts, reaching all the way to the back of the key and overlapping where the accidentals will later go. One then draws out the keyboard design using a keyboard ruler, which is basically a pattern showing where the accidentals are. The backs of the naturals automatically appear in the spaces between the accidentals. The keyboard is then sawn apart, the wood covering the accidentals is removed—a reversible glue like hide glue must obviously be used—and the sharps are glued on.

The second option is to use separate key fronts and backs, and let the act of gluing down the backs automatically leave space for the accidentals. To do so, a few observations on the general layout of keyboards are worth noting:
  • The front and back of C are flush along their left edges (the same is true for F)
  • The front and back of E are flush along their right edges (the same is true for B)
  • The middle of the back of D is aligned with the middle of the front of D
  • The middle of G♯ is aligned with the middle of the gap between G and A

When these facts are digested, the layout of the keyboard using separate fronts and backs is largely reduced to finding the proper position of the backs of G and A such that the F♯, G♯ and B♭ keys aren't hemmed in too much by the adjacent naturals. If the key backs are all identically sized, the paradox described earlier is resolved by letting the gaps between neighbouring keys vary slightly in the two parts of the octave.

To be on the safe side, I took some of my sharp stock, which was purchased in the form of a stick of ebony already milled to the correct cross-section (narrower on top and wider at the base), and cut myself 5 sharps about 2.5" long. Then I temporarily attached natural backs against the fronts in various positions with double-sided tape and checked to see if the sharps fit correctly. The C-E portion of the octave was fine; F-B needed some juggling. With a ruler accurate to 0.5 mm, I made notes of how far each back was from the right-hand edge of the corresponding front for the notes D, G and A.

Here's the setup used to glue the backs:


This is largely the same as that used for the fronts, except the triangle used to align each piece now has the ruler taped to it to help take measurements:


The green piece of tape has the name of each note written on it, as a mistake in laying down the backs would be quite serious. I'm using a thick cyanoacrylate glue to attach the covers, and there's no turning back once the stuff cures.

The far ends of the keys must match the spacing of the jacks, which is of course determined by the registers. This is easily done by laying the register along the line showing the position of the wrestplank gap and ticking off each slot:


These tick marks will be connected to the rear edges of the key backs with pencil lines showing where each key is to be sawed out.

Note that the final few key backs haven't been glued on yet. This is because the key backs come very close to the balance pins in the extreme treble, so I'll have to notch the top couple of backs slightly to allow the key to move without interference.

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