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=== Alterations ===
=== Alterations ===
The most important oneirotonic [[MODMOS]] (MOS with one or more alterations) is LSLLLSLS together with its rotations, because it allows one to evoke certain ana or kata diatonic modes where three whole steps in a row are important (Dorian, Phrygian, Lydian or Mixo) in an octatonic context. The MOS would not always be able to do this because it has at most two consecutive large steps. As with the MOS, this MODMOS has four ana and four kata rotations:
We call the LSLLLSLS pattern (independently of modal rotation) the ''archeodim'', because the "LLL" resembles the archeotonic mode in 13edo and the "LSLSLS" resembles the diminished scale. Archeodim is the most important oneirotonic [[MODMOS]] pattern (a MODMOS is a MOS with one or more alterations), because it allows one to evoke certain ana or kata diatonic modes where three whole steps in a row are important (Dorian, Phrygian, Lydian or Mixo) in an octatonic context. The MOS would not always be able to do this because it has at most two consecutive large steps. As with the MOS, this MODMOS has four ana and four kata rotations:
* LLLSLSLS: Dylathian &4: an ana-Lydian
* LLLSLSLS: Dylathian &4, Archeodim Ana-Lydian
* LLSLSLSL: Illarnekian @8: an ana-Mixolydian
* LLSLSLSL: Illarnekian @8: Archeodim Ana-Mixolydian
* LSLLLSLS: Celephaïsian &6: an ana-Dorian
* LSLLLSLS: Celephaïsian &6: Archeodim Ana-Dorian
* SLLLSLSL: Ultharian @2: an ana-Phrygian
* SLLLSLSL: Ultharian @2: Archeodim Ana-Phrygian
* SLSLSLLL: Sarnathian @6: a kata-Locrian
* SLSLSLLL: Sarnathian @6: Archeodim Kata-Locrian
* SLSLLLSL: Sarnathian &7: a kata-Dorian
* SLSLLLSL: Sarnathian &7: Archeodim Kata-Dorian
* LSLSLLLS: Mnarian &8: a kata-Ionian
* LSLSLLLS: Mnarian &8: Archeodim Kata-Ionian
* LSLSLSLL: Hlanithian &2: a kata-Aeolian
* LSLSLSLL: Hlanithian &2: Archeodim Kata-Aeolian


Other potentially interesting oneirotonic MODMOSes (that do not use half-sharps or half-flats) are:
Other potentially interesting oneirotonic MODMOSes (that do not use half-sharps or half-flats) are: