User:Ganaram inukshuk/5L 2s: Difference between revisions

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===5L 2s as a moment-of-symmetry scale===

The familiar interpretation of whole and half steps, commonly written as WWHWWWH for the major scale, has step sizes of 2 (whole step) and 1 (small step), producing [[12edo]]. Viewing 5L 2s as a moment-of-symmetry scale involves generalizing ~~the~~ step pattern ~~of 5 whole steps and 2 whole steps as being~~ different step sizes. As such, the generalized form LLsLLLs is used, as most step ratios have step sizes that cannot be interpreted as being "whole" or "half" steps.

The familiar interpretation of 5 whole and 2 half steps, commonly written as WWHWWWH for the major scale, has step sizes of 2 (whole step) and 1 (small step), producing [[12edo]]. Viewing 5L 2s as a moment-of-symmetry scale involves generalizing this step pattern to different step sizes. As such, the generalized form LLsLLLs is used, as most step ratios have step sizes that cannot be interpreted as being "whole" or "half" steps.

====Substituting step sizes====

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|[[22edo]]

|}

Edos that are multiples of ~~12, such as [[24edo]] or [[72edo]], are~~ reached by ~~using~~ step ratios that are ~~not simplified~~, such as 4:2 for 24edo and 12:6 for 72edo. The step sizes may be called whole and half in this case.

Edos that are multiples of the examples above can be reached by entering non-simplified step ratios. For example, edos that are multiples of 12 are reached by using larger values whose ratio simplifies to 2:1, such as 4:2 for [[24edo]] and 12:6 for [[72edo]]. The step sizes may be called whole and half in this case.

====Expanding the tuning spectrum====

@@ Line 78: / Line 78: @@
 ===5L 2s as a moment-of-symmetry scale===
-The familiar interpretation of whole and half steps, commonly written as WWHWWWH for the major scale, has step sizes of 2 (whole step) and 1 (small step), producing [[12edo]]. Viewing 5L 2s as a moment-of-symmetry scale involves generalizing the step pattern of 5 whole steps and 2 whole steps as being different step sizes. As such, the generalized form LLsLLLs is used, as most step ratios have step sizes that cannot be interpreted as being "whole" or "half" steps.
+The familiar interpretation of 5 whole and 2 half steps, commonly written as WWHWWWH for the major scale, has step sizes of 2 (whole step) and 1 (small step), producing [[12edo]]. Viewing 5L 2s as a moment-of-symmetry scale involves generalizing this step pattern to different step sizes. As such, the generalized form LLsLLLs is used, as most step ratios have step sizes that cannot be interpreted as being "whole" or "half" steps.
 ====Substituting step sizes====
@@ Line 116: / Line 116: @@
 |[[22edo]]
 |}
-Edos that are multiples of 12, such as [[24edo]] or [[72edo]], are reached by using step ratios that are not simplified, such as 4:2 for 24edo and 12:6 for 72edo. The step sizes may be called whole and half in this case.
+Edos that are multiples of the examples above can be reached by entering non-simplified step ratios. For example, edos that are multiples of 12 are reached by using larger values whose ratio simplifies to 2:1, such as 4:2 for [[24edo]] and 12:6 for [[72edo]]. The step sizes may be called whole and half in this case.
 ====Expanding the tuning spectrum====