Finally, with our Cruise Ship analogy, let's have a look at that cloud of diffuse smoke we're leaving behind as we pull out of port. These are what are called the "minor" aspects.
There are lots of minor aspects, which all come from dividing the circle into ever-smaller pieces, and the more you divide the circle up, the less effect those aspects have. For example, the semi-square and the sesquiquadrate (think of them as the "half a square" and "the square and a half"). They have roughly the same effect as a square, but are much less pronounced and less troublesome. Any proper square will have a much more obvious observable effect on your personality, but these two can show up as minor annoyances. Basically, if you understand everything we've covered so far, you know what you need to know.
Two of the minor aspects stick out a bit more as far as their importance and usefulness, though: the quintile (one-fifth of a circle, or 72 degrees) and the septile (one-seventh of a circle). The quintile represents a relationship between two planets that takes effort to bring out, but once you do it reveals you have a talent for it. You can also have a bi-quintile (144 degrees of separation) which acts the same way. A quintile is kind of like that guy you know who can write reasonably well, and is always talking about that great novel he wants to write... but he never seems to get any further with it than talking about it.