Minimum-ambiguity DE scales: Difference between revisions

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The scale that has minimum ambiguity between notes is always an [[equal]] scale.

The DE scale of ''N'' notes that has strictly minimum ambiguity between intervals is always a subscale of ({{nowrap| 2''N'' - ''P'' }})-edo, where ''P'' is the number of periods per octave. (Octave-repeating scales are assumed here, but in fact the minimum ambiguity property is insensitive to any stretching or compressing, so the same scale patterns apply as equal divisions of any interval whatsoever.)

The DE scale of ''N'' notes that has strictly minimum ambiguity between intervals is always a subscale of ({{nowrap| 2''N'' − ''P'' }})-edo, where ''P'' is the number of periods per octave. (Octave-repeating scales are assumed here, but in fact the minimum ambiguity property is insensitive to any stretching or compressing, so the same scale patterns apply as equal divisions of any interval whatsoever.)

Scales are also listed that have some totally ambiguous (coinciding) intervals, but have minimum ambiguity over all other intervals.

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One ambiguous interval allowed:

*1 period per octave in [[6edo]]

* 1 period per octave in [[6edo]]

** 1 1 1 3

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** 1 1 1 1 1 1 1 1 7

~~[[Category:Lists of scales]]~~

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 The scale that has minimum ambiguity between notes is always an [[equal]] scale.
-The DE scale of ''N'' notes that has strictly minimum ambiguity between intervals is always a subscale of ({{nowrap| 2''N'' - ''P'' }})-edo, where ''P'' is the number of periods per octave. (Octave-repeating scales are assumed here, but in fact the minimum ambiguity property is insensitive to any stretching or compressing, so the same scale patterns apply as equal divisions of any interval whatsoever.)
+The DE scale of ''N'' notes that has strictly minimum ambiguity between intervals is always a subscale of ({{nowrap| 2''N'' − ''P'' }})-edo, where ''P'' is the number of periods per octave. (Octave-repeating scales are assumed here, but in fact the minimum ambiguity property is insensitive to any stretching or compressing, so the same scale patterns apply as equal divisions of any interval whatsoever.)
 Scales are also listed that have some totally ambiguous (coinciding) intervals, but have minimum ambiguity over all other intervals.
@@ Line 28: / Line 28: @@
 One ambiguous interval allowed:
-*1 period per octave in [[6edo]]
+* 1 period per octave in [[6edo]]
 ** 1 1 1 3
@@ Line 121: / Line 121: @@
 ** 1 1 1 1 1 1 1 1 7
-[[Category:Lists of scales]]
+{{Navbox scale gallery}}