I have continued to write my daily canons but didn't have the time to enter them into Finale and post them. I will post several a day until I'm caught up.
Canon in the Symmetrical Enharmonic Pentatonic
The ancient Greek Enharmonic Pentatonic is a scale with two identical tetrachords (as were most Greek scales).
In modern terminology, a tetrachord is a group of pitches spanning the interval of a perfect fourth. The Enharmonic begins with a major third. The remaining minor second completes the tetrachord.
Example (The Greeks constructed their scales in a descending manner):
A F E (A-F is a major 3rd, F-E is a minor second)
As I said, the ancient Greek version used identical tetrachords to make a scale. These are connected by a major second so that the two tetrachords are a perfect fifth apart and will complete the octave.
A F E D Bb A
I wanted to have a scale that was symmetrical around that connective major second, so I created two versions of a symmetrical enharmonic pentatonic. Today's canon uses one of them, I'll get to the other later this week.
A F E is the first tetrachord -- M3, m2
D C# A is the second -- m2, M3
The complete scale is A F E D C# A.
As befits a symmetrical scale, here is a canon in inversion.
(click on image to enlarge)
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