More work, and some errata
Added 2020-11-21 02:17:11 +0000 UTCWell it seems the days are long, but the weeks are short. Since my last update I have done some more work on the book; particularly on a chapter sub-section about "Cohn Sets". These are scales that can form optimally smooth "Cohn cycles" made by a "Cohn flip" where a pcs is flipped to its inverse by moving a tone by just one semitone. These were named after the eminent theorist Richard Cohn.
The kicker is, this is a concept that I explored many years ago thinking it was a novel and unexplored area of set theory. I didn't know the phenomenon had a name, and had never heard of Cohn's work. Nor did I know that they were further generalized by David Lewin and others, boiled down to some very solid mathematical fundamentals, and this was all happening in the 1990s.
Not the first time this has happened to me... sigh. Like that time I thought that I had invented genetic algorithms.
Also in recent days I've spent some time going through a bunch of messages from readers and viewers (from the youtube channel), to correct some scale names that were omitted, duplicated, or wrong. About thirty of them.
Anyways I want to thank you all for your support, and keeping the lights on around here. Your patronage has reached the level where it is sufficient to cover the costs of my web hosting (approximately), so I'm thankful for that!
Please stay safe, uninfected, and practice kindness
Regards,
Ian
