5L 2s: Difference between revisions

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The 5L 2s MOS scale has this generalized form.

* L L s L L L s

* L L L s L L s

Insert 2 for L and 1 for s and you'll get the 12EDO diatonic of standard practice.

* 2 2 1 2 2 2 1

* 2 2 2 1 2 2 1

When L=3, s=1, you have [[17edo|17EDO]]: 3 3 1 3 3 3 1

When L=3, s=1, you have [[17edo|17EDO]]: 3 3 3 1 3 3 1

When L=3, s=2, you have [[19edo|19EDO]]: 3 3 2 3 3 3 2

When L=3, s=2, you have [[19edo|19EDO]]: 3 3 3 2 3 3 2

When L=4, s=1, you have [[22edo|22EDO]]: 4 4 1 4 4 4 1

When L=4, s=1, you have [[22edo|22EDO]]: 4 4 4 1 4 4 1

When L=4, s=3, you have [[26edo|26EDO]]: 4 4 3 4 4 4 3

When L=4, s=3, you have [[26edo|26EDO]]: 4 4 4 3 4 4 3

When L=5, s=1, you have [[27edo|27EDO]]: 5 5 1 5 5 5 1

When L=5, s=1, you have [[27edo|27EDO]]: 5 5 5 1 5 5 1

When L=5, s=2, you have [[29edo|29EDO]]: 5 5 2 5 5 5 2

When L=5, s=2, you have [[29edo|29EDO]]: 5 5 5 2 5 5 2

When L=5, s=3, you have [[31edo|31EDO]]: 5 5 3 5 5 5 3

When L=5, s=3, you have [[31edo|31EDO]]: 5 5 5 3 5 5 3

When L=5, s=4, you have [[33edo|33EDO]]: 5 5 4 5 5 5 4

When L=5, s=4, you have [[33edo|33EDO]]: 5 5 5 4 5 5 4

So you have scales where L and s are nearly equal, which approach [[7edo|7EDO]]:

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And you have scales where s becomes so small it approaches zero, which would give us [[5edo|5EDO]]:

* 1 1 0 1 1 1 0 = 1 1 1 1 1

* 1 1 1 0 1 1 0 = 1 1 1 1 1

== Tuning ranges ==

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Chroma-positive generator: 685.7143 cents (4\7) to 720 cents (3\5)

Generator ranges:

* Chroma-positive generator: 685.7143 cents (4\7) to 720 cents (3\5)

Chroma-negative generator: 480 cents (2\5) to 514.2857 cents (3\7)

* Chroma-negative generator: 480 cents (2\5) to 514.2857 cents (3\7)

{| class="wikitable center-all"

@@ Line 24: / Line 24: @@
 The 5L 2s MOS scale has this generalized form.
-* L L s L L L s
+* L L L s L L s
 Insert 2 for L and 1 for s and you'll get the 12EDO diatonic of standard practice.
-* 2 2 1 2 2 2 1
+* 2 2 2 1 2 2 1
-When L=3, s=1, you have [[17edo|17EDO]]: 3 3 1 3 3 3 1
+When L=3, s=1, you have [[17edo|17EDO]]: 3 3 3 1 3 3 1
-When L=3, s=2, you have [[19edo|19EDO]]: 3 3 2 3 3 3 2
+When L=3, s=2, you have [[19edo|19EDO]]: 3 3 3 2 3 3 2
-When L=4, s=1, you have [[22edo|22EDO]]: 4 4 1 4 4 4 1
+When L=4, s=1, you have [[22edo|22EDO]]: 4 4 4 1 4 4 1
-When L=4, s=3, you have [[26edo|26EDO]]: 4 4 3 4 4 4 3
+When L=4, s=3, you have [[26edo|26EDO]]: 4 4 4 3 4 4 3
-When L=5, s=1, you have [[27edo|27EDO]]: 5 5 1 5 5 5 1
+When L=5, s=1, you have [[27edo|27EDO]]: 5 5 5 1 5 5 1
-When L=5, s=2, you have [[29edo|29EDO]]: 5 5 2 5 5 5 2
+When L=5, s=2, you have [[29edo|29EDO]]: 5 5 5 2 5 5 2
-When L=5, s=3, you have [[31edo|31EDO]]: 5 5 3 5 5 5 3
+When L=5, s=3, you have [[31edo|31EDO]]: 5 5 5 3 5 5 3
-When L=5, s=4, you have [[33edo|33EDO]]: 5 5 4 5 5 5 4
+When L=5, s=4, you have [[33edo|33EDO]]: 5 5 5 4 5 5 4
 So you have scales where L and s are nearly equal, which approach [[7edo|7EDO]]:
@@ Line 52: / Line 52: @@
 And you have scales where s becomes so small it approaches zero, which would give us [[5edo|5EDO]]:
-* 1 1 0 1 1 1 0 = 1 1 1 1 1
+* 1 1 1 0 1 1 0 = 1 1 1 1 1
 == Tuning ranges ==
@@ Line 121: / Line 121: @@
-Chroma-positive generator: 685.7143 cents (4\7) to 720 cents (3\5)
+Generator ranges:
+* Chroma-positive generator: 685.7143 cents (4\7) to 720 cents (3\5)
-Chroma-negative generator: 480 cents (2\5) to 514.2857 cents (3\7)
+* Chroma-negative generator: 480 cents (2\5) to 514.2857 cents (3\7)
 {| class="wikitable center-all"