For one thing, "Indian ink" isn't always what you expect these days.
Secondly real Indian ink has shellac in it, specifically to make it
work better as a surface ink and be less of a penetrating stain.
If you want to stain rosewood (although I have to ask why?), then use
a dye or pigment stain in a suitable carrier. Don't take these same
materials and use them in a form where someone else has already added
things to it to make it _less_ effective. If you're trapped in a
stationers with an urgent need to dye rosewood, then using Chinese
block ink (just lampblack and gums) insted of Indian ink will work
better. But Parker's Quink (or probably Waterman's) is probably even
better, if that's a dark enough colour.
Personally I ebonise all my timber with an iron acetate or iron
tannate mixture (acetate if the timber is like oak and already
contains plenty of tannins). You can make this yourself from either
steel wool and vinegar, or steel wool and a decoction of oak galls.
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