The second and third interpretations may seem odd, but such assignments do create classical modal systems.
Here is a list of several common modal systems.
Most of the modal systems used in practice (including all listed above) have FMP.
The modal system worked like the scales of today, insomuch that it provided the rules and material for melodic writing.
Another interesting aspect of the modal system is the universal allowance for altering B to Bb no matter what the mode.
Ethiopian music uses a distinct modal system that is pentatonic, with characteristically long intervals between some notes.
He soon developed his own style based on the use of micro-tonality from the modal system of traditional Persian music.
Its modal system is based on the ancient Greek models.
Besides that, the modal system includes an indicative-subjunctive opposition.
Adding axioms to "K" gives rise to other well-known modal systems.