I remember being spellbound by this series. I was eighteen and watched it with my mother - we both adored Patrick Troughton! To this day I can, without reference, hum the theme tune - and for those who would like to hear it again, it is called The Girl From Corsica, by Trevor Duncan - I'm sure it must be on YouTube or somewhere.
It was so haunting, and the image of the blowing scarf, so graceful, it has stayed in my mind all these years, although I have forgotten the intricacies of the plot. I can't think of 'The Scarf' without thinking of my ma. I would love to see the series again, wish someone would revive it.
Another beautiful, evocative theme is the one from 'Foyles War' by the talented Jim Parker.