I think that's empathy - which may also result in antipathy and revulsion, e.g. one may empathetically understand why some person would want to own slaves or sit atop a strict hierarchical-religious power structure, as they like the feeling of having absolute power over others, while strongly disliking such motivations and having no sympathy for people who engage in that behavior.
[1] https://en.wikipedia.org/wiki/Symbiosis
[2] https://en.wikipedia.org/wiki/Symphony#Etymology_and_origins