ALS: Difference between revisions

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== Relationship to other tunings ==
== Relationship to other tunings ==


=== as shifted undertone series ===
=== As shifted undertone series ===


By varying the undertone series step size to some rational number (other than 1) you can produce a US, and by 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 by 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. AFS ===
=== Vs. AFS ===


The analogous otonal equivalent of an ALS is an [[AFS|AFS (arithmetic frequency sequence)]].
The analogous otonal equivalent of an ALS is an [[AFS|AFS (arithmetic frequency sequence)]].


=== vs. US ===
=== Vs. US ===


A [[US|US, or utonal sequence]], is the (rational) version of an ALS.  
A [[US|US, or utonal sequence]], is the (rational) version of an ALS.  


=== vs. ELD ===
=== Vs. ELD ===


By specifying n, your sequence will be equivalent to some [[ELD|ELD (equal length division)]]; specifically n-ALSp = n-ELD((p-1)/n).
By specifying n, your sequence will be equivalent to some [[ELD|ELD (equal length division)]]; specifically n-ALSp = n-ELD((p-1)/n).
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