the enigmatic scale and even some more extended triads

I made a point in the posts about extended triads of keeping only to diminished, perfect and augmented fifths because those were the only ones I could imagine happening in scales. Not so! I recently looked at the enigmatic scale and found that we need to be more inclusive still. Here is the scale along with its triads:


As you can see both the II and V chords go beyond the parameters which I naively set. Since in this scale there are three minor seconds/half steps in a row (A#-B-C-Db) we end up with doubly diminished and doubly augmented fifths. If we consider that each fifth can have four types of 3rd (diminished, minor, major and augmented) then we will end up with 20 (count them twenty) triad types! (As far as symbols go I just simply stacked either plus signs or minus signs to indicate doubly diminished.)

Once again: give the triads a go...the whole point is that hopefully they aid you in expanding your vocabulary.

By the way, check out the wikipedia article on this scale here. You can discover its history (which includes Verdi) and that it actually has a different descending form.

See also extended triads iii, extended triads ii, extended triads i, basic triad types.