Bands in ratios of consecutive prime numbers

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Does anyone know any information on the bands appearing in ratios of consecutive prime numbers? For example, if any analytic explicit or recursive formulas exist per band. In other terms, how do I compute points of a specific band? Anything relevant at all is appreciated. Code in the Wolfram Language for the first 5000 ratios:

ListPlot[Prime[#+1]/Prime[#]&@Range[5000],PlotTheme->"Detailed"]

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