Replies to Joseph Pehrson on 72-tET

Joseph Pehrson wrote,

>Ok... I read a little ahead on the posts, for once, and I can see
>that I need to learn more about this system. Could someone PLEASE
>send me some samples of it?? I will pay BIG money. Even over $30...

>Also, PLEASE include the "key" to the notation. If I'm understanding
>this all correctly, the 72-tET system includes 12-tET in it! And it
>seems that the "alterations" are really quite a bit more managable
>than thinking of 50 cents alterations from a quarter tone.

Go to https://www.mindeartheart.org/micro.html. There is also the
Richter-Herf Institute's notation, which is conceptually the same.

>Ummm. The practical logic of this is irrefutable. But, is Harry
>Partch's 43 tone system ALSO a subset of 72-tET???

No, but the 29 diamond intervals (the "11-limit consonances") are all within
4¢ of 72-tET. They're all uniquely, unambigously, and quite accurately
represented.

>Gee... I guess it WOULD be... since if 72 is accurate to the 11th
>limit... and Partch goes to the 11th limit!!

72 is pretty accurate for any limit (Ezra Sims goes at least to 37), and
it's consistent through the 17-limit.