Exotic Scales

In a previous post I made some observations about what I call the Augmented Hexatonic (1 b2 3 4 #5 6). Here I pull some harmony out of the resulting scales. You should probably read the earlier post before getting into this one.

The Whole Tone Scale, 1 2 3 #4 #5 b7, has quite a few interesting subsets, including the well-known augmented triad and the dominant chords 7b5 and 7#5. Today we'll look at the "triad" 1-3-#4 and its inversion, 1-3-b7. These are known by the Forte number 3-10.

This is a follow-on from this post, when we discovered Forte 4-9 as the coscale of the octatonic you get from combining Vishwambari with Hatakambari (help with Forte numbers). Which makes it sound much more abstruse than it was in context (I think). But let's look at it as its own thing.

I've been exploring the Sus b2 and Sus #4 arpeggios a bit lately. They're inversions of each other and are an important sound in early 20th century classical music. Here are all the heptatonic scales I know of (there might be more) that can be completely covered by copies of one of these two structures.

Back when I was putting together the scales book (a good 10 years ago now) I had trouble finding names for all the exotic scales I wanted to put in. When I couldn't find one I just had to make something up. Sometimes I think I made a good choice -- Superaugmented and Ultra Locrian, for example, do what they say on the tin -- and sometimes not. But for one set of scales I was completely stumped.

In my last post the Melodic Minor b5 scale cropped up unexpectedly; I wasn't expecting this so I dug into it a little bit. On paper I found quite a few interesting properties, but when I sat down with the guitar it became obvious that this was something very familiar. And then a little more experimentation revealed something more interesting.

Neetimati and Gayakapriya are Carnatic scales that have come up a few times on this blog, but that I've never really dug into. In my last post I discovered they share a slightly obscure property; on closer inspection it turns out they have a close and musically useful bond.

Messiaen's Mode 6 is a symmetrical scale that can be made by adding two notes to the Whole Tone scale. Adding one of these gives us Neapolitan, so I thought it was probably time to look at the other one.

There are only three octatonic ("half-whole") diminished scales, and two have reasonably well-known applications over everyday chords. What about the third?

Yesterday I posted some initial thoughts on the "whole tone dominants" -- those altered dominant chords that are subsets of the whole tone scale. The obvious other thing to do, particularly with my current obsession with Scriabin, is to look at the "octatonic dominants" that come out of the half-whole (or whole-half) diminished scale. Caveat: this post is a bit of "primary research" -- not very exciting as at stands, but with potentially useful applications.