Other emotions relative to angry/happy base emotions
As I mentioned in the comments, the tool we're using is pyAudioAnalysis.  The tool's author, Theodoros Giannakopoulos, also wrote an earlier paper "A dimensional approach to emotion recognition of speech from movies"

This "Emotion Wheel" from that paper appears to be exactly what I was looking for:


It's also worth mentioning, maybe, that this later paper seems to describe all the specific characteristics that pyAudioAnalysis analyzes: "signal energy, entropy of energy, zero  crossing  rate, spectral centroid, spectral flux, Mel Frequency Cepstral Coefficients, Chroma-based features, etc."