Optimal Octatonic (Diminished Scate/Temperament)

Integer Limit 4*Period Generator
3..................1200..........101.955
4..................1200..........101.955
5................1197.429.........96.384
6................1198.974.........97.852
7................1194.238.........96.964
8................1197.181.........91.877

The following require going beyond the octatonic, to at least the 12-
tone scale:

9................1197.273.........91.644
10...............1197.203.........91.560

Now if we then assume 2*Period ("tritone") should represent 11/8,
etc.:

11...............1192.690.........94.926
12...............1194.567.........97.439

But if instead we assume 2*Period-Generator ("perfect fourth) should
represent 11/8, etc.:

11...............1201.257.........82.470
12...............1202.440.........83.869

I wish I had a piano to try it.

jhon