Yet another math question

[Dave Bagwill]

I don't know the answer to that question. Bob Taylor likes the idea - now I'm name-dropping :-) - and maybe I'll contact him and see what his thinking is/

[Herman]

Maybe unnecessary, but to avoid confusion: Tilting the saddle does not change the forcevectors, but in a way that they run vertical though the saddle. But to the the forces that affect the top (rotation at the footprint of the bridge) there are no changes at all.
Herman

[Dave Bagwill]

Ah - excellent point! Thanks H.

[ken cierp]

It seems using the provided equation that the vector force at the bottom of a saddle tipped 8 degrees would be 1% less than a perpendicular saddle.

[Dave Bagwill]

Yeah, I think you're right. The 8-10 degree tilt is helpful for other reasons than that.

[ken cierp]

This allows string pressure to drive the saddle directly down to the floor of the saddle slot rather than pushing it forward. The result is more effective transmission of vibration, especially beneficial to the use of an undersaddle pickup.

So is this a contradiction of the science?

[Dave Bagwill]

I don't understand what you're saying. I do understand that the statement was that, for UST's, the tilted saddle is more efficient, and that just makes sense.