For my own curiosity I plotted these notes in a lattice of 5ths horizontally and 3rds vertically. It makes a lot more sense than the table in pitch order. You can see the symmetry. It’s interesting that it has more 5ths around C♯ and C♭ than around C♮, and that it goes all the way out to C♯♯ and C♭♭ vertically. As the ratios show, several of these notes are harmonically much farther from C than other notes not included.
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