5L 2s/MODMOSes

The 5L 2s MOS has multiple well-known MODMOSes, with at least five of these having names of their own. For the sake of ease, "A"- meaning "augmented"- refers to a step that is larger than the MOS's normal "L" step by a single chroma.

LsLLLLs

The LsLLLLs MODMOS is referred to here as the Melodic Scale. While it is perhaps better known by other names such as "melodic minor" and "jazz minor" after this scale's default mode, there is another mode of this scale that can be called "melodic major" and "jazz major". The 3-limit version of this MODMOS only differs from 3-limit Dorian by means of having 256/243 as a major seventh. Because of it being well known, this MODMOS has multiple MODmuddles derived from it.

LsLLsAs

The LsLLsAs MODMOS is known as the Harmonic Minor Scale. The 3-limit version of this MODMOS differs from 3-limit Aeolian by means of having 256/243 as a major seventh, and thus, having 19683/16384 as the augmented second step. Because of it being well known, this MODMOS has multiple MODmuddles derived from it.

LLsLsAs

The LLsLsAs MODMOS is known as the Harmonic Major Scale. The 3-limit version of this MODMOS differs from 3-limit Ionian by means of having 128/81 as a minor sixth, and thus, having 19683/16384 as the augmented second step. Because of it being at least somewhat well known, this MODMOS has multiple MODmuddles derived from it.

sLLLLLs

The sLLLLLs MODMOS is referred to here as the Greater Neapolitan Scale. While it is perhaps better known as "Neapolitan major", this terminology can be considered confusing on account of the scale's third degree technically being a minor third. The 3-limit version of this MODMOS differs from the 3-limit Melodic Scale by means of having 256/243 as a minor second. Because of it being at least somewhat well known, this MODMOS has multiple MODmuddles derived from it.