Hmm...well, based on your description the width of the canes sounds like aphyllum, but the blooms of the second plant definitely don't look like that species.
I had previously said it might be primulinum based on the yellowness of the lip, but I think others were right that it isn't. Primulinum has flowers that present a lot like aphyllum's (which your plant's don't) and the canes are also thicker than aphyllum's (ditto).
My best guess is that you have a Den. Bohemian Rhapsody, a primary hybrid of aphyllum and loddigesii. I have a small (unbloomed) one of these and it has narrow canes like both of the parents. From the pictures I've found online the flowers can be somewhat variable, but often favor the aphyllum parent plus some yellow in the lip from loddigesii. The more upright (than aphyllum) dorsal on yours could reflect loddigesii influence.
It could also be Den. Jan Orinstein, which is a hybrid of aphyllum and primulinum, but my money's on the Bohemian Rhapsody or something similar.
Also possible that it's a natural hybrid of any of the above species or others. According to the Bakers' Dendrobium book the three species I mentioned have similar natural ranges, and from the similarity of the flowers they probably share pollinators as well (though staggered bloom seasons or different fragrances or other factors may keep the species from interbreeding very often). Hope this helps!
--Nat