5L 2s/Muddles

The term "diatonic scale" is an umbrella term that not only refers to the 5L 2s MOS scale, but also to the group of muddles and MODmuddles 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 Ptolemaic Sequence, and 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.

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.