As a russian I need some explanation here.
That sounds like your are remembering one of those Tomatis's charts, which are simply bullshit. All natural languages are quite similar in terms of their "frequency bands", what is different is the clustering of their phonemes within those bands, e.g. Russian has lots of consonant sounds but very few vowels when compared to English.
Like imagine not being able to use inflections to express emotion when speaking. That'd sound as alien to a non-tonal speaker as the concept of using inflections to express emotion to a tonal-speaker. Like think about how 'That's a great idea.' can be phrased in different tones to make it sound enthusiastic, insulting, a question, sarcastic, and so forth. You just can't do that in tonal languages.
There's also the side issue that most non-tonal languages tend to have a relatively close linguistic background. Russian has a massive amount of 'English' cognates (often from shared ancestors predating both), especially if you consider words that are basically cognates but have different stresses or maybe one slightly different vowel sound or whatever. But the number of cognates between tonal and non-tonal languages is far fewer. It makes them much more difficult to learn, at least for me.
You certainly can. Just because a morpheme has a tone doesn't mean that there aren't other contributors to pitch, such as sentence pitch contour. Do you actually speak or understand any tonal languages? I can assure you that Chinese people definitely use sentence prosody to convey extremely subtle nuances of meaning.