Linear step scale

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A linear step scale is a possible generalization of equal temperaments other than MOS scales. The size of the step after a note increases linearly in the form ax+b where x is the index of the note (starting from 0). For example, a 3-tone octave-repeating scale with the step size determined as 10x+285 in cents would have the step sizes between intervals as 285-295-305-335 cents and the intervals as 285-580-885-1200 cents.