Sorry if this question sounds a bit basic. I haven’t had a solid grounding in phonology/phonetics yet so I am a bit confused about these concepts.
We’re trying to build a model which studies certain properties of tonal languages. I understand that a vowel can be generally represented by four formant frequencies. However, I’m now trying to add tone into the representation, and I’m a bit confused by the relation between formant frequencies and pitch frequency.
In the following picture from Praat which shows four tones of Chinese, it seems that the numbers in black on the left are for formant frequencies (represented with red lines), while the numbers in blue on the right are for pitch frequency (represented with blue lines).
I've read the paper (de Boer 2000) which represents vowels with two dimensions: f1 frequency and a weighted result of f2-f4 frequencies. Now we're trying to add the tone property into a similar model. My main concern is, whether pitch frequency is completely independent of formant frequencies. If so, I might be able to just add it as extra one or two dimensions which are supposed to be independent of the already existing dimensions for formant frequencies (Though the scale of such dimensions would still be a concern). If not, then the task of adding tone into the model might be considerably more challenging.
Somebody has suggested that pitch is only related to the base frequency/base f0, and thus shouldn't interfere with the two dimensions already existing in de Boer's model. Does that make sense?