A mini-trine is called a sextile. Measuring 60 degrees apart, a sextile represents planets that are two signs away from each other. This is also a harmonious relationship between planets, but not quite as strong as a trine.
You need to consciously pay attention to the two planets involved in a sextile in order to get the most benefit from them. For example, many people who were born in the late 1940’s and early 1950’s had Neptune in Libra sextile Pluto in Leo, meaning that Neptune was two signs away from Pluto and within an orb of influence that was near 60 degrees apart. Ultimately, this sextile heled an entire generation to open to higher ideals.