US: Difference between revisions
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== Relationship to other tunings == | == Relationship to other tunings == | ||
=== | === As shifted undertone series === | ||
By varying the undertone series step size to some rational number (other than 1) you can produce a US, and varying it to an irrational number you can produce an ALS. In other words, by shifting the undertone series by a constant amount of string length, the step sizes remain equal in terms of length, but their relationship in pitch changes. | By varying the undertone series step size to some rational number (other than 1) you can produce a US, and varying it to an irrational number you can produce an ALS. In other words, by shifting the undertone series by a constant amount of string length, the step sizes remain equal in terms of length, but their relationship in pitch changes. | ||
=== | === Vs. UD === | ||
By specifying n, your sequence will be equivalent to some [[UD|UD (utonal division)]]. E.g. 8-US3/4 = 8-UD7, because 8(3/4) = 6, so you will have traveled 6 away from the root of 1, and reached 7. | By specifying n, your sequence will be equivalent to some [[UD|UD (utonal division)]]. E.g. 8-US3/4 = 8-UD7, because 8(3/4) = 6, so you will have traveled 6 away from the root of 1, and reached 7. | ||
=== | === Vs. ALS === | ||
A US is the rational version of [[ALS|ALS, or arithmetic length sequence]]. | A US is the rational version of [[ALS|ALS, or arithmetic length sequence]]. | ||