Not sure that is Carmine.. They supplied touch up with an internal code RMM116 CFxx (where xx was the colour) but I guess that's not available any more.
That colour looks like Fire Red......
Just a bit of background, I worked in a Raleigh 5 star dealer in the 70's and our bread and butter was Raleigh. For people who wanted something better we sold Carlton and Falcon. We also stocked the usual stuff for the touring and racing mobs.
Carlton were nice bikes to sell as they always looked good, had better geometry so looked "faster" and had better kit. Above that thay had chrome and really nice paint finishing. One colour on top of another....
Backed up by the fact they were nice to ride
I read Alan Sugar's autobiography where he talks about the "mugs eyeful" which made him his fortune. Carlton did it decades earlier.
OK Back on topic...... Might have to dig deeper on the actual colour