Partch and 53

I won't quote the whole of the GOAM section, but will point you to pp
433-434 of the book, which I assume everyone will have read.

It seems that some of 53 was 'OK' but other bits were quite bad. Espectially
the 11 identities.

P says abaout 113EDO:

Many of these degrees would of course be meaningless except in modulations 7
to fifty 3/2s removed, and if we tossed out the degrees required by distant
modulations we would have left about 43 just ratios, the number of degrees
in the Monophonic fabric.

Partch then goes on to describe a means of hearing a 2cent 'falsity'. In
other words, even a 2 cent drift from Just was considered 'false' and so,
dismissed.

It does seem thought, that P considered 53 as a 'halfway house', whereby a
great many intervals can be rendered closer to just, yet retain the ability
for free modulation. Esp his comments on 53-tone keyboards later.

M