The scales listed here are mostly artificial constructions and do not form the basis of any lyrical tunes which is why none have been proposed below. However Irish and Scottish and many other folk traditions use six note scales. They can be easily described by the addition of two triads a tone apart. ie Am and G as in tunes like Shady Grove. This scale is a very large part of the aural history of music. I encourage anyone who is actually interested in six note scales to look at a book of folk tunes and observe how many omit either the fourth or the sixth from the seven note diatonic scale and are therefore hexatonic in character.