Just do odd multiples of the same bulb so they aren't lost in the shuffle. 3, 5, 7 so on.

Yes, that will work. I mix early, Mid and late flowering varieties of daffodils into the same clump. That way the clump keeps blooming through more of the season. If you plant them pretty close together so that it all looks like one group, you will have to dig and divide the bulbs more often. But, I think it's worth that effort.
Since you want to mix species, be sure to keep the tall ones behind the short ones. I would think twice about adding tulips to this mix, only because most of us plant tulips as annuals and the bulbs are removed after they bloom. The removal process might disturb the other bulbs in the group.