Here are some links to useful information about the ignition problems you are encountering. The symptom you describe sounds like one of the two cdi power coils on the stator coil is kaput (the high speed one-- see the link from uk and the "white wire fix" for high speed coil problems).
I wouldnt give up on the bike. Engine removal from the frame is not a killer job- one summer afternoon and a decent hydraulic bottle jack. The electrex G47 replacement stator coil is quite reliable and at $150 fob america from electrex uk is a good deal. Same coil ordered from electrex usa is $225. Check out electrex uk.
We invite you to introduce yourself by a few sentences if you are new to
this discussion group. Enter your e-mail to join the forum and get notifcations on new messages. Or post your question,
answer or comment as a guest. We have just improved this discussion forum and expect the number of users to increase.
More 1979 Honda CX 500 information
Our discussion groups are intended for short messages. We also welcome more extensive motorcycle reviews.
Bikez also recommends that you check out the technical
data and the riders' rating for the 79 Honda CX 500.
You can also rate it yourself. Use our efficient motorcycle
classifieds to sell or
buy
this bike. Your motorbike gets a high quality presentation. Ads are free.