https://sciencefriday.com/segments/visu ... f-vibrato/
Given that the vibrato can be visualized - not too far off before somebody tries it on Gamakas.
There is this free program : http://ab-initio.mit.edu/wiki/index.php/Harminv that talks about similar technique - not sure if this has been tried anywhere.
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Ideas and innovations in Indian classical music
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This is not so useful unless it can close the loop with psychoacoustics and perception. Pulling out low frequencies from a signal is a 2 minute job with a LPF (low pass filter)...anaylzing them further for morphology is endless. In general this researcher, Elaine Chew, is a master (or mistress!) of useless BS.
A great start has been made in a series of excellent papers by Arvindh Krishnaswamy, then with CCRMA in Stanford more than a decade ago. Not just the shape or spectral content of gamakas but also how it relates to the overall psychoacoustic experience of sound and "intonation" (roughly, pitch perception).
Not quite "similar" I think. This is just a more accurate method to extract spectral components of a signal than garden variety FFT (but thanks for the link, who knows when I might find it useful for something!).
The spectral components of sound itself and the vibrato or gamakam features imposed upon it differ by an order of magnitude. For non real-time processing I would do it in two parts 1) a good bandpass/lowpass filter to isolate the low frequencies (0-10Hz) and 2) then analyze shapes, etc...
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