To develop more of that and go beyond making ambience, I definitely recommend playing an instrument and improvising on it all the time.
When made my lyre last year, one of the most surprising things about it was how much it improved my ability to improvise on all instruments.
It lacks accidentals so you're locked into a scale, which ironically trained me how to use accidentals, and get a deeper intuition of where thet are and when to use them.
Having a less complicated layout than a piano or guitar, it's also a lot easier to just make stuff up. With its ease of use, it actually turned out it is just a really great improvisation tool.