Rich tones always compound internal and cross-tone dissonance

Evidence

If a single tone rich in high partials can get into trouble with itself, no pair of tones with rich sets of high partials is immune from self-dissonance (autodissonance) in addition to any cross-dissonance in the sense of Helmholtz. — Eric J. Heller, Why You Hear What You Hear- An…, 2335