Right, I've been trying to work this out for about 3 hours now. I feel like I'm on the cusp of understanding but just need a straightforward answer from someone knowledgeable in audio-related maths. I'll reply to myself with the problem since I've run out of space in this tweet.
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n is the band index < N. The result is the first bin of the next band. A and B control the shape of the banding. B can be set as: B=(ln(S/A))/(N-1) This will ensure all bins are used. A can then be chosen as the number of bins in band 0.
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Thanks, Nick! I'll give this a shot over the weekend.
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