Generators
Added 2020-03-03 13:10:34 +0000 UTCHi patrons! Last night I wrote some code to calculate the generator of any scale, if one exists. A generator is an interval; a scale is a “generated scale” if you can start at one tone and travel by the same interval up again and again and eventually visit every tone of the scale. For example, the C major scale has a generator of a perfect fifth, starting on F. Alternately it’s generated by a perfect fourth, starting on B.
As of this morning, all scales on the website have “generators” as part of the Analysis section, and if there is a generator then it’s visualized with a diagram below.
Scale generators are related to the theory of “well-defined” scales, and “moments of symmetry”. I’ll be digging a little into those topics in my book.
Enjoy!