5L 2s/Muddles: Difference between revisions

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== 3L1 2L2 2s ==

The '''3L1 2L2 2s''' muddle can be denoted as '''Ptolemaic-Auric ~~Diatonic Scale~~''' on account of the 3L1 2L2 2s being the step-size combination being shared by both the well-known '''[[Zarlino|Ptolemaic Sequence]]''', and [[User:Aura|Aura]]'s preferred tuning of the Ionian scale, albeit the exact step patterns differ between the two scales. By default, the Ptolemaic-Auric ~~Diatonic Scale~~ has the pattern of L1L2sL1L2L1s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.

The '''3L1 2L2 2s''' muddle can be denoted as '''[[Ptolemaic-Auric diatonic|Ptolemaic-Auric diatonic scale]]''' on account of the 3L1 2L2 2s being the step-size combination being shared by both the well-known '''[[Zarlino|Ptolemaic Sequence]]''', and [[User:Aura|Aura]]'s preferred tuning of the Ionian scale, albeit the exact step patterns differ between the two scales. By default, the Ptolemaic-Auric diatonic scale has the pattern of L1L2sL1L2L1s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.

== 2L1 3L2 2s ==

Aside from the Ptolemaic-Auric ~~Diatonic Scale~~, the '''2L1 3L2 2s''' muddle is the one of the more frequently encountered 5L 2s muddles.

Aside from the Ptolemaic-Auric diatonic scale, the '''2L1 3L2 2s''' muddle is the one of the more frequently encountered 5L 2s muddles.

== 5L 1s1 1s2 ==

The following [[18edo]] irregular diatonics, which are derived by stacking alternating 667¢ and 733¢ fifths, belong to this category: 0-200-400-533-733-933-1133-1200 and 0-200-400-467-667-867-1067-1200.

[[Category:Diatonic]]

[[Category:Abstract MOS patterns]]

[[Category:MOS muddles]]

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 == 3L<sub>1</sub> 2L<sub>2</sub> 2s ==
-The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic-Auric Diatonic Scale''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination being shared by both the well-known '''[[Zarlino|Ptolemaic Sequence]]''', and [[User:Aura|Aura]]'s preferred tuning of the Ionian scale, albeit the exact step patterns differ between the two scales.  By default, the Ptolemaic-Auric Diatonic Scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.
+The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''[[Ptolemaic-Auric diatonic|Ptolemaic-Auric diatonic scale]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination being shared by both the well-known '''[[Zarlino|Ptolemaic Sequence]]''', and [[User:Aura|Aura]]'s preferred tuning of the Ionian scale, albeit the exact step patterns differ between the two scales.  By default, the Ptolemaic-Auric diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.
 == 2L<sub>1</sub> 3L<sub>2</sub> 2s ==
-Aside from the Ptolemaic-Auric Diatonic Scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle is the one of the more frequently encountered 5L 2s muddles.
+Aside from the Ptolemaic-Auric diatonic scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle is the one of the more frequently encountered 5L 2s muddles.
 == 5L 1s<sub>1</sub> 1s<sub>2</sub> ==
 The following [[18edo]] irregular diatonics, which are derived by stacking alternating 667¢ and 733¢ fifths, belong to this category: 0-200-400-533-733-933-1133-1200 and 0-200-400-467-667-867-1067-1200.
 [[Category:Diatonic]]
 [[Category:Abstract MOS patterns]]
 [[Category:MOS muddles]]