5L 2s/Muddles: Difference between revisions

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The term "'''diatonic scale'''" is an umbrella term that not only refers to the [[5L 2s]] [[MOS scale]], but also to the group of [[muddle]]s and [[MODmuddle]]s that both resemble it and are related to it. This page is for the cataloguing of these muddles. For the sake of ease, "L1" refers to the larger of two large step sizes while "L2" refers to the smaller of two large step sizes, and likewise "s1" refers to the larger of two small step sizes while "s2" refers to the smaller of two small step sizes. For muddles where there's only a single size of large step, a simple "L" will be used, and likewise, for muddles where there's only a single size of small step, a simple "s" will be used.

The term "'''diatonic scale'''" is an umbrella term that not only refers to the [[5L 2s]] [[MOS scale]], but also to the group of [[muddle]]s and [[MODmuddle]]s that both resemble it and are related to it. This page is for the cataloguing of these muddles. For the sake of ease, "L1" refers to the larger of two large step sizes while "L2" refers to the smaller of two large step sizes, and likewise "s1" refers to the larger of two small step sizes while "s2" refers to the smaller of two small step sizes. For muddles where there's only a single size of large step, a simple "L" will be used, and likewise, for muddles where there's only a single size of small step, a simple "s" will be used.

== 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 {{nowrap|'''3L1 2L2 2s'''}} muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the {{nowrap|3L1 2L2 2s}} being the step-size combination of the well-known '''[[Zarlino|Ptolemaic sequence]]'''. By default, the Ptolemaic 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, though to be fair, it is a chiral scale that has the other variant of L2L1sL1L2L1s.

== 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 diatonic scale, the {{nowrap|'''2L1 3L2 2s'''}} muddle, which can be denoted as '''[[Interdia]]''', is the one of the more frequently encountered 5L 2s muddles.

== 5L 1s1 1s2 ==

[[18edo]]'s 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.

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

[[Category:Diatonic]]

[[Category:MOS muddles]]

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-The term "'''diatonic scale'''" is an umbrella term that not only refers to the [[5L 2s]] [[MOS scale]], but also to the group of [[muddle]]s and [[MODmuddle]]s that both resemble it and are related to it.  This page is for the cataloguing of these muddles.  For the sake of ease, "L<sub>1</sub>" refers to the larger of two large step sizes while "L<sub>2</sub>" refers to the smaller of two large step sizes, and likewise "s<sub>1</sub>" refers to the larger of two small step sizes while "s<sub>2</sub>" refers to the smaller of two small step sizes.  For muddles where there's only a single size of large step, a simple "L" will be used, and likewise, for muddles where there's only a single size of small step, a simple "s" will be used.
+{{breadcrumb}}
+The term "'''diatonic scale'''" is an umbrella term that not only refers to the [[5L&nbsp;2s]] [[MOS scale]], but also to the group of [[muddle]]s and [[MODmuddle]]s that both resemble it and are related to it.  This page is for the cataloguing of these muddles.  For the sake of ease, "L<sub>1</sub>" refers to the larger of two large step sizes while "L<sub>2</sub>" refers to the smaller of two large step sizes, and likewise "s<sub>1</sub>" refers to the larger of two small step sizes while "s<sub>2</sub>" refers to the smaller of two small step sizes.  For muddles where there's only a single size of large step, a simple "L" will be used, and likewise, for muddles where there's only a single size of small step, a simple "s" will be used.
 == 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.
+{{see also|Nicetone}}
+The {{nowrap|'''3L<sub>1</sub> 2L<sub>2</sub> 2s'''}} muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the {{nowrap|3L<sub>1</sub> 2L<sub>2</sub> 2s}} being the step-size combination of the well-known '''[[Zarlino|Ptolemaic sequence]]'''. By default, the Ptolemaic 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, though to be fair, it is a chiral scale that has the other variant of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.
 == 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.
+{{see also|Interdia}}
+Aside from the Ptolemaic diatonic scale, the {{nowrap|'''2L<sub>1</sub> 3L<sub>2</sub> 2s'''}} muddle, which can be denoted as '''[[Interdia]]''', is the one of the more frequently encountered 5L&nbsp;2s muddles.
 == 5L 1s<sub>1</sub> 1s<sub>2</sub> ==
-[[18edo]]'s 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.
+The following [[18edo]] irregular diatonics, which are derived by stacking alternating 667{{c}} and 733{{c}} fifths, belong to this category: {{dash|0, 200, 400, 533, 733, 933, 1133, 1200}} and {{dash|0, 200, 400, 467, 667, 867, 1067, 1200}}.
+[[Category:Diatonic]]
+[[Category:MOS muddles]]