Linear step scale: Difference between revisions
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A '''linear step scale'''{{idiosyncratic}} is a possible generalization of [[equal temperament]]s other than [[MOS scale]]s. 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. | A '''linear step scale'''{{idiosyncratic}} is a possible generalization of [[equal temperament]]s other than [[MOS scale]]s. 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. All linear step scales are logically [[harmonotonic tuning]]s (decreasing step sizes for negative slope and increasing step sizes for positive slope). | ||
The term "linear step scale" was proposed by [[User:CompactStar|CompactStar]]. | The term "linear step scale" was proposed by [[User:CompactStar|CompactStar]]. | ||