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Thanks Artix for a nicely constructed and educational puzzle. Clever title too.

Judging by the Forum comments above, I am on a completely different wavelength to everyone else. I thoroughly enjoyed the puzzle. The Wikipedia entry on the system's deviser gave me all I needed to fill the grid, and it introduced me a new area - so thanks Artix.
My problem is that I am struggling to parse too many clues so cannot get to the instruction. Can anyone help me with 15 across, 25 across, 1 down and 3 down. I simply can't work out the surplus word in these cases.

Thanks to all - lovely day on the east coast. There are some advantages in living half-way to Lithuania..

william - the surplus words are:
15a Chelsea
25a Tenth
1d dyke
3d Level

I hope these help to clarify things for you.

Gitto - #59
Handsome apology -
thanks!

Thanks Will37
that's most helpful. I do find the clueing difficult thought others clearly don't!

Only loose end for me is 33a - can't see the wordplay. Thanks

Scratch that, just figured it out

williamseal, I struggled with some of the clues as well. In fact, I still don't see the parsing of 15, though I know the extra word. Can anyone offer a nudge?

Very UK specific; one of a small grey recycling animal set that live on a specific Common in London; first letter removed.

Thanks, hw7. I suspected that was the case. I figure that's what "headed" meant in the clue. Still didn't get the reference though.