Myhill's property is equivalent to MOS. Myhill's property is that each generic interval besides the unison (second, third, fourth . . .) comes in exactly two specific sizes (minor/major, augmented/perfect) . . .
So the diatonic scale has Myhill's property, while the melodic minor scale (having three sizes of fourth: diminished, perfect, and augmented) does not. . . .the whole-tone scale is profoundly non-Myhill, having only _one_ specific size for each generic interval. . . .