Here's what I started with:
First, I did two variations with a narrow navy blue ribbon.
I particularly like the criss-cross effect in this one. I'd like to play with more effects in this style- keep your eyes peeled (at least if it goes plausibly well).
Then the effect of adding just one wrap around of different ribbons at different points:
Finally, a very long, wider ribbon (this one's about an inch or more wide- you can see, this much of it really dominates and transforms what's going on):
Some of the differences are subtle, others, more dramatic. How different would the look need to be in order to wear the same scarf two days in a row? I'm thinking that ribbons are a lot easier to pack than whole scarves, especially the larger ones.
Of course, I'm not that efficient or planned-out a packer. I throw things into a suitcase, and therefore often end up bringing more than I quite actually need.