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Edit: The question about the consonance ordering is answered here

https://music.stackexchange.com/questions/117426/how-to-sort-for-pitch-similarity

The above ordering is approximately correct by the answer given above.

$$ \left(\begin{array}{rrrrrrrrrrrrrrrrrrrrrrrr} 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 \\ 1 & \frac{16}{15} & \frac{9}{8} & \frac{6}{5} & \frac{5}{4} & \frac{4}{3} & \frac{17}{12} & \frac{3}{2} & \frac{8}{5} & \frac{5}{3} & \frac{16}{9} & \frac{15}{8} & 2 & \frac{17}{8} & \frac{9}{4} & \frac{12}{5} & \frac{5}{2} & \frac{8}{3} & \frac{17}{6} & 3 & \frac{16}{5} & \frac{10}{3} & \frac{25}{7} & \frac{15}{4} \\ 1 & \frac{1}{240} & \frac{1}{72} & \frac{1}{30} & \frac{1}{20} & \frac{1}{12} & \frac{1}{204} & \frac{1}{6} & \frac{1}{40} & \frac{1}{15} & \frac{1}{144} & \frac{1}{120} & \frac{1}{2} & \frac{1}{136} & \frac{1}{36} & \frac{1}{60} & \frac{1}{10} & \frac{1}{24} & \frac{1}{102} & \frac{1}{3} & \frac{1}{80} & \frac{1}{30} & \frac{1}{175} & \frac{1}{60} \end{array}\right) $$ $$ \left(\begin{array}{rrrrrrrrrrrrrrrrrrrrrrrr} 0 & 12 & 19 & 7 & 16 & 5 & 9 & 4 & 17 & 3 & 21 & 14 & 8 & 15 & 23 & 2 & 20 & 18 & 11 & 13 & 10 & 22 & 6 & 1 \\ 1 & 2 & 3 & \frac{3}{2} & \frac{5}{2} & \frac{4}{3} & \frac{5}{3} & \frac{5}{4} & \frac{8}{3} & \frac{6}{5} & \frac{10}{3} & \frac{9}{4} & \frac{8}{5} & \frac{12}{5} & \frac{15}{4} & \frac{9}{8} & \frac{16}{5} & \frac{17}{6} & \frac{15}{8} & \frac{17}{8} & \frac{16}{9} & \frac{25}{7} & \frac{17}{12} & \frac{16}{15} \\ 1 & \frac{1}{3} & \frac{1}{6} & \frac{1}{15} & \frac{1}{35} & \frac{1}{42} & \frac{1}{60} & \frac{1}{90} & \frac{1}{132} & \frac{1}{165} & \frac{1}{195} & \frac{1}{234} & \frac{1}{260} & \frac{1}{510} & \frac{1}{570} & \frac{1}{612} & \frac{1}{840} & \frac{1}{1173} & \frac{1}{1380} & \frac{1}{1700} & \frac{1}{1800} & \frac{1}{2800} & \frac{1}{2958} & \frac{1}{3720} \end{array}\right) $$

$$ \left(\begin{array}{rrrrrrrrrrrrrrrrrrrrrrrr} 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 \\ 1 & \frac{16}{15} & \frac{9}{8} & \frac{6}{5} & \frac{5}{4} & \frac{4}{3} & \frac{17}{12} & \frac{3}{2} & \frac{8}{5} & \frac{5}{3} & \frac{16}{9} & \frac{15}{8} & 2 & \frac{17}{8} & \frac{9}{4} & \frac{12}{5} & \frac{5}{2} & \frac{8}{3} & \frac{17}{6} & 3 & \frac{16}{5} & \frac{10}{3} & \frac{25}{7} & \frac{15}{4} \\ 1 & \frac{1}{240} & \frac{1}{72} & \frac{1}{30} & \frac{1}{20} & \frac{1}{12} & \frac{1}{204} & \frac{1}{6} & \frac{1}{40} & \frac{1}{15} & \frac{1}{144} & \frac{1}{120} & \frac{1}{2} & \frac{1}{136} & \frac{1}{36} & \frac{1}{60} & \frac{1}{10} & \frac{1}{24} & \frac{1}{102} & \frac{1}{3} & \frac{1}{80} & \frac{1}{30} & \frac{1}{175} & \frac{1}{60} \end{array}\right) $$ $$ \left(\begin{array}{rrrrrrrrrrrrrrrrrrrrrrrr} 0 & 12 & 19 & 7 & 16 & 5 & 9 & 4 & 17 & 21 & 3 & 14 & 8 & 23 & 15 & 2 & 20 & 18 & 11 & 13 & 10 & 22 & 6 & 1 \\ 1 & 2 & 3 & \frac{3}{2} & \frac{5}{2} & \frac{4}{3} & \frac{5}{3} & \frac{5}{4} & \frac{8}{3} & \frac{10}{3} & \frac{6}{5} & \frac{9}{4} & \frac{8}{5} & \frac{15}{4} & \frac{12}{5} & \frac{9}{8} & \frac{16}{5} & \frac{17}{6} & \frac{15}{8} & \frac{17}{8} & \frac{16}{9} & \frac{25}{7} & \frac{17}{12} & \frac{16}{15} \\ 1 & \frac{1}{2} & \frac{1}{3} & \frac{1}{6} & \frac{1}{10} & \frac{1}{12} & \frac{1}{15} & \frac{1}{20} & \frac{1}{24} & \frac{1}{30} & \frac{1}{30} & \frac{1}{36} & \frac{1}{40} & \frac{1}{60} & \frac{1}{60} & \frac{1}{72} & \frac{1}{80} & \frac{1}{102} & \frac{1}{120} & \frac{1}{136} & \frac{1}{144} & \frac{1}{175} & \frac{1}{204} & \frac{1}{240} \end{array}\right) $$

Edit as per request of @GerryMyerson:

Note similarity sorted by two octaves:

The first and second matrix are to be interpreted as in the example above:

$$ \left(\begin{array}{rrrrrrrrrrrrrrrrrrrrrrrr} 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 \\ 1 & \frac{16}{15} & \frac{9}{8} & \frac{6}{5} & \frac{5}{4} & \frac{4}{3} & \frac{17}{12} & \frac{3}{2} & \frac{8}{5} & \frac{5}{3} & \frac{16}{9} & \frac{15}{8} & 2 & \frac{17}{8} & \frac{9}{4} & \frac{12}{5} & \frac{5}{2} & \frac{8}{3} & \frac{17}{6} & 3 & \frac{16}{5} & \frac{10}{3} & \frac{25}{7} & \frac{15}{4} \\ 1 & \frac{1}{240} & \frac{1}{72} & \frac{1}{30} & \frac{1}{20} & \frac{1}{12} & \frac{1}{204} & \frac{1}{6} & \frac{1}{40} & \frac{1}{15} & \frac{1}{144} & \frac{1}{120} & \frac{1}{2} & \frac{1}{136} & \frac{1}{36} & \frac{1}{60} & \frac{1}{10} & \frac{1}{24} & \frac{1}{102} & \frac{1}{3} & \frac{1}{80} & \frac{1}{30} & \frac{1}{175} & \frac{1}{60} \end{array}\right) $$ $$ \left(\begin{array}{rrrrrrrrrrrrrrrrrrrrrrrr} 0 & 12 & 19 & 7 & 16 & 5 & 9 & 4 & 17 & 3 & 21 & 14 & 8 & 15 & 23 & 2 & 20 & 18 & 11 & 13 & 10 & 22 & 6 & 1 \\ 1 & 2 & 3 & \frac{3}{2} & \frac{5}{2} & \frac{4}{3} & \frac{5}{3} & \frac{5}{4} & \frac{8}{3} & \frac{6}{5} & \frac{10}{3} & \frac{9}{4} & \frac{8}{5} & \frac{12}{5} & \frac{15}{4} & \frac{9}{8} & \frac{16}{5} & \frac{17}{6} & \frac{15}{8} & \frac{17}{8} & \frac{16}{9} & \frac{25}{7} & \frac{17}{12} & \frac{16}{15} \\ 1 & \frac{1}{3} & \frac{1}{6} & \frac{1}{15} & \frac{1}{35} & \frac{1}{42} & \frac{1}{60} & \frac{1}{90} & \frac{1}{132} & \frac{1}{165} & \frac{1}{195} & \frac{1}{234} & \frac{1}{260} & \frac{1}{510} & \frac{1}{570} & \frac{1}{612} & \frac{1}{840} & \frac{1}{1173} & \frac{1}{1380} & \frac{1}{1700} & \frac{1}{1800} & \frac{1}{2800} & \frac{1}{2958} & \frac{1}{3720} \end{array}\right) $$