Paul
The loss in poorly matched coax can be very high, you might consider
using a length of 300 Ohm ribbon cable instead. You will need a balun at
the KX1 end of the ribbon. With my K1 across 40/30/20/15 I find a 66
foot top (33' each side) with 32 foot of ribbon tunes with the KAT1 in
my K1. I understand the tuning range of the KX1 ATU is even less than
that fitted to a K1, so you might have to play around with the length of
ribbon to get a satisfactory match. The advantage is you can get the
dipole part of the antenna a reasonable height with a fishing pole or
similar support.
73 Dave, G4AON
K1 # 1154
K2 # 1892
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