Cyclocross Tires Received

This is a continuation of my previous post,
so if you haven't read that yet, please check it out first.

A customer brought in cyclocross tires for me to work with.
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These are tires meant to go on Nomu Lab Wheel #4 that I built recently.

About the wheel that currently has these tires on it—
aside from the fact that it feels a bit sloppy when riding (which apparently it actually does),
there's a much more serious problem, so the customer decided not to use it. What a waste.

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It's a DT 350 hub, 32-hole, 2:1 build with all CX-RAY spokes in a 60-degree lacing pattern, but

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it was laced as an F3-spoke imbalanced pattern as I mentioned in my previous post.
Because of that, there's lateral runout in the brake zone of the rim that can't be fully corrected,
and when the brake shoes engage, the handlebar gets yanked back and forth with loud clunking sounds,
so the customer was terrified to use it.

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Sure enough, there was uneven rim wear specifically at the rear of the spoke base on the non-drive side,
in the direction of travel. Every time the brake shoe passes over that spot, it goes clunk! clunk!

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I numbered the consecutive rim holes.

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Holes 1 and 2 are the final tangent crossed lacing on the drive side,
and hole 3 is the radial lacing on the non-drive side.

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Let's say hypothetically that holes 1 and 3 became an F3-spoke balanced pattern tangent lacing on the drive side,
and hole 2 became radial lacing on the drive side.

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In that case, the phase on the hub hole side would be
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right here.
You'd have to machine the hub or completely disassemble the wheel
to transition to an F3-spoke balanced pattern.
The spoke length changes, so you can't reuse the drive side spokes.
(It won't work if they get longer. Even if they get shorter,
with CX-RAY spokes, the relationship with the butted section length makes it impossible either way)

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Conversely, if you shift the phase of the hub holes...

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you'd end up having to drill a hole midway between rim holes 1 and 2.
In that case, it would be like a rear wheel with the two parallel spokes of a G3 pattern on the drive side crossed together.
Or rather, since the empty phase is double the occupied phase,
it would be like the current Fulcrum design.

The customer says this is the lacing method the original builder came up with first,
but it's careless to sell something without anticipating this kind of problem.

Anyway, regarding this rear rim—
I'm curious whether relacing it with equal numbers of spokes on both sides
would eliminate the uneven brake feel.
The customer is pretty discouraged though, saying the rim is already shot...

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