Observe some instrumental music:
The notes that ascend are like a question being posed at.
and the following low pitch is the answer.
So musicians can use this 'fact' to create better music for some lyrics.
We can analyze bird/animal sounds assuming this.
Some more thoughts. The correlation with pitch and emotion it evokes would be due to doplar effect. When pitch increases we know that something is coming closer. When it decreases, it is moving away.
To moving away mind must be attaching many correlations like something leaving us, we give something to others - empathy, vastness etc.
On the reverse, the high pitch must be indicating the attachment - something close to us. Something we achieved or obtained.