Gallery of combination product sets: Difference between revisions
Complete 15-odd limit table |
Add stellated hexany table |
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| Line 621: | Line 621: | ||
[[Category:14-tone scales]] | [[Category:14-tone scales]] | ||
''Main page: [[Stellated hexany]]'' | ''Main page: [[Stellated hexany]]'' | ||
{| class="wikitable mw-collapsible mw-collapsed sortable" right-all" | |||
|- | |||
|- | |||
! Combination Product Set | |||
! Sum of factors | |||
! Lowest common divisor | |||
! Odd-limit | |||
! Prime Limit | |||
! Largest step size | |||
! Smallest step size | |||
! L/s step ratio | |||
! Number of repeated notes | |||
|- | |||
| [[1-3-5-7 stellated hexany]] || 16 || 1 || 7 || 7 || 231.174 || 84.467 || 2.736 || 6 | |||
|- | |||
| [[1-3-5-9 stellated hexany]] || 18 || 1 || 9 || 5 || 203.910 || 92.178 || 2.212 || 6 | |||
|- | |||
| [[1-3-7-9 stellated hexany]] || 20 || 1 || 9 || 7 || 266.871 || 27.264 || 9.788 || 6 | |||
|- | |||
| [[1-5-7-9 stellated hexany]] || 22 || 1 || 9 || 7 || 378.602 || 27.274 || 14.409 || 6 | |||
|- | |||
| [[3-5-7-9 stellated hexany]] || 24 || 3 || 9 || 7 || 155.139 || 27.274 || 5.904 || 0 | |||
|- | |||
| [[1-3-5-11 stellated hexany]] || 20 || 1 || 11 || 11 || 333.040 || 53.272 || 6.251 || 6 | |||
|- | |||
| [[1-3-7-11 stellated hexany]] || 22 || 1 || 11 || 11 || 266.871 || 53.272 || 5.009 || 6 | |||
|- | |||
| [[1-3-9-11 stellated hexany]] || 24 || 1 || 11 || 11 || 294.134 || 53.272 || 5.521 || 6 | |||
|- | |||
| [[1-5-7-11 stellated hexany]] || 24 || 1 || 11 || 11 || 231.174 || 31.194 || 7.410 || 6 | |||
|- | |||
| [[1-5-9-11 stellated hexany]] || 26 || 1 || 11 || 11 || 203.910 || 38.905 || 5.241 || 6 | |||
|- | |||
| [[1-7-9-11 stellated hexany]] || 28 || 1 || 11 || 11 || 213.597 || 27.264 || 7.834 || 6 | |||
|- | |||
| [[3-5-7-11 stellated hexany]] || 26 || 3 || 11 || 11 || 165.004 || 4.502 || 36.651 || 0 | |||
|- | |||
| [[3-5-9-11 stellated hexany]] || 28 || 3 || 11 || 11 || 150.637 || 31.766 || 4.742 || 0 | |||
|- | |||
| [[3-7-9-11 stellated hexany]] || 30 || 3 || 11 || 11 || 150.637 || 27.264 || 5.525 || 0 | |||
|- | |||
| [[5-7-9-11 stellated hexany]] || 32 || 5 || 11 || 11 || 182.403 || 27.264 || 6.690 || 0 | |||
|- | |||
| [[1-3-5-13 stellated hexany]] || 22 || 1 || 13 || 13 || 315.641 || 26.841 || 11.759 || 6 | |||
|- | |||
| [[1-3-7-13 stellated hexany]] || 24 || 1 || 13 || 13 || 231.174 || 92.601 || 2.496 || 6 | |||
|- | |||
| [[1-3-9-13 stellated hexany]] || 26 || 1 || 13 || 13 || 203.910 || 65.337 || 3.120 || 6 | |||
|- | |||
| [[1-3-11-13 stellated hexany]] || 28 || 1 || 13 || 13 || 306.199 || 53.272 || 5.747 || 6 | |||
|- | |||
| [[1-5-7-13 stellated hexany]] || 26 || 1 || 13 || 13 || 231.174 || 26.841 || 8.612 || 6 | |||
|- | |||
| [[1-5-9-13 stellated hexany]] || 28 || 1 || 13 || 13 || 250.303 || 26.841 || 9.325 || 6 | |||
|- | |||
| [[1-5-11-13 stellated hexany]] || 30 || 1 || 13 || 13 || 262.368 || 26.841 || 9.774 || 6 | |||
|- | |||
| [[1-7-9-13 stellated hexany]] || 30 || 1 || 13 || 13 || 405.443 || 27.264 || 14.871 || 6 | |||
|- | |||
| [[1-7-11-13 stellated hexany]] || 32 || 1 || 13 || 13 || 231.174 || 39.328 || 5.878 || 6 | |||
|- | |||
| [[1-9-11-13 stellated hexany]] || 34 || 1 || 13 || 13 || 203.910 || 12.064 || 16.902 || 6 | |||
|- | |||
| [[3-5-7-13 stellated hexany]] || 28 || 3 || 13 || 13 || 187.343 || 16.566 || 11.308 || 0 | |||
|- | |||
| [[3-5-9-13 stellated hexany]] || 30 || 3 || 13 || 13 || 160.078 || 26.841 || 5.963 || 0 | |||
|- | |||
| [[3-5-11-13 stellated hexany]] || 32 || 3 || 13 || 13 || 138.572 || 26.431 || 5.242 || 0 | |||
|- | |||
| [[3-7-9-13 stellated hexany]] || 32 || 3 || 13 || 13 || 138.572 || 27.264 || 5.082 || 0 | |||
|- | |||
| [[3-7-11-13 stellated hexany]] || 34 || 3 || 13 || 13 || 138.572 || 22.338 || 6.203 || 0 | |||
|- | |||
| [[3-9-11-13 stellated hexany]] || 36 || 3 || 13 || 13 || 208.835 || 4.925 || 42.403 || 0 | |||
|- | |||
| [[5-7-9-13 stellated hexany]] || 34 || 5 || 13 || 13 || 203.910 || 19.129 || 10.659 || 0 | |||
|- | |||
| [[5-7-11-13 stellated hexany]] || 36 || 5 || 13 || 13 || 165.004 || 26.841 || 6.147 || 0 | |||
|- | |||
| [[5-9-11-13 stellated hexany]] || 38 || 5 || 13 || 13 || 165.004 || 9.441 || 17.477 || 0 | |||
|- | |||
| [[7-9-11-13 stellated hexany]] || 40 || 7 || 13 || 13 || 209.109 || 12.064 || 17.333 || 0 | |||
|- | |||
| [[1-3-5-15 stellated hexany]] || 24 || 1 || 15 || 5 || 274.582 || 111.731 || 2.457 || 7 | |||
|- | |||
| [[1-3-7-15 stellated hexany]] || 26 || 1 || 15 || 7 || 359.049 || 111.731 || 3.213 || 6 | |||
|- | |||
| [[1-3-9-15 stellated hexany]] || 28 || 1 || 15 || 5 || 386.313 || 92.178 || 4.190 || 6 | |||
|- | |||
| [[1-3-11-15 stellated hexany]] || 30 || 1 || 15 || 11 || 386.313 || 38.905 || 9.929 || 6 | |||
|- | |||
| [[1-3-13-15 stellated hexany]] || 32 || 1 || 15 || 13 || 247.741 || 26.841 || 9.229 || 6 | |||
|- | |||
| [[1-5-7-15 stellated hexany]] || 28 || 1 || 15 || 7 || 470.781 || 43.408 || 10.845 || 6 | |||
|- | |||
| [[1-5-9-15 stellated hexany]] || 30 || 1 || 15 || 5 || 498.044 || 70.672 || 7.047 || 6 | |||
|- | |||
| [[1-5-11-15 stellated hexany]] || 32 || 1 || 15 || 11 || 274.582 || 53.272 || 5.154 || 6 | |||
|- | |||
| [[1-5-13-15 stellated hexany]] || 34 || 1 || 15 || 13 || 342.482 || 26.841 || 12.759 || 6 | |||
|- | |||
| [[1-7-9-15 stellated hexany]] || 32 || 1 || 15 || 7 || 653.184 || 27.264 || 23.957 || 6 | |||
|- | |||
| [[1-7-11-15 stellated hexany]] || 34 || 1 || 15 || 11 || 305.776 || 111.731 || 2.736 || 6 | |||
|- | |||
| [[1-7-13-15 stellated hexany]] || 36 || 1 || 15 || 13 || 497.622 || 16.566 || 30.038 || 6 | |||
|- | |||
| [[1-9-11-15 stellated hexany]] || 36 || 1 || 15 || 11 || 333.040 || 92.178 || 3.613 || 6 | |||
|- | |||
| [[1-9-13-15 stellated hexany]] || 38 || 1 || 15 || 13 || 524.866 || 43.831 || 11.974 || 6 | |||
|- | |||
| [[1-11-13-15 stellated hexany]] || 40 || 1 || 15 || 13 || 247.741 || 80.114 || 3.092 || 6 | |||
|- | |||
| [[3-5-7-15 stellated hexany]] || 30 || 3 || 15 || 7 || 155.139 || 7.711 || 20.119 || 2 | |||
|- | |||
| [[3-5-9-15 stellated hexany]] || 32 || 3 || 15 || 5 || 203.911 || 70.672 || 2.885 || 3 | |||
|- | |||
| [[3-5-11-15 stellated hexany]] || 34 || 3 || 15 || 11 || 221.309 || 38.905 || 5.688 || 2 | |||
|- | |||
| [[3-5-13-15 stellated hexany]] || 36 || 3 || 15 || 13 || 203.910 || 26.841 || 7.596 || 2 | |||
|- | |||
| [[3-7-9-15 stellated hexany]] || 34 || 3 || 15 || 7 || 155.139 || 27.264 || 5.690 || 0 | |||
|- | |||
| [[3-7-11-15 stellated hexany]] || 36 || 3 || 15 || 11 || 155.139 || 31.194 || 4.973 || 0 | |||
|- | |||
| [[3-7-13-15 stellated hexany]] || 38 || 3 || 15 || 13 || 223.039 || 16.566 || 13.463 || 0 | |||
|- | |||
| [[3-9-11-15 stellated hexany]] || 38 || 3 || 15 || 11 || 182.403 || 38.905 || 4.688 || 0 | |||
|- | |||
| [[3-9-13-15 stellated hexany]] || 40 || 3 || 15 || 13 || 203.910 || 26.841 || 7.596 || 0 | |||
|- | |||
| [[3-11-13-15 stellated hexany]] || 42 || 3 || 15 || 13 || 194.468 || 26.841 || 7.245 || 0 | |||
|- | |||
| [[5-7-9-15 stellated hexany]] || 36 || 5 || 15 || 7 || 266.871 || 27.264 || 9.788 || 0 | |||
|- | |||
| [[5-7-11-15 stellated hexany]] || 38 || 5 || 15 || 11 || 155.139 || 31.194 || 4.973 || 0 | |||
|- | |||
| [[5-7-13-15 stellated hexany]] || 40 || 5 || 15 || 13 || 119.442 || 16.566 || 7.210 || 0 | |||
|- | |||
| [[5-9-11-15 stellated hexany]] || 40 || 5 || 15 || 11 || 150.137 || 38.905 || 3.859 || 0 | |||
|- | |||
| [[5-9-13-15 stellated hexany]] || 42 || 5 || 15 || 13 || 138.572 || 26.841 || 5.162 || 0 | |||
|- | |||
| [[5-11-13-15 stellated hexany]] || 44 || 5 || 15 || 13 || 150.137 || 14.627 || 10.264 || 0 | |||
|- | |||
| [[7-9-11-15 stellated hexany]] || 42 || 7 || 15 || 11 || 119.442 || 4.502 || 26.530 || 0 | |||
|- | |||
| [[7-9-13-15 stellated hexany]] || 44 || 7 || 15 || 13 || 293.712 || 16.566 || 17.729 || 0 | |||
|- | |||
| [[7-11-13-15 stellated hexany]] || 46 || 7 || 15 || 13 || 119.442 || 16.566 || 7.210 || 0 | |||
|- | |||
| [[9-11-13-15 stellated hexany]] || 48 || 9 || 15 || 13 || 191.845 || 12.064 || 15.902 || 0 | |||
|} | |||
=== In no-3s subgroups === | === In no-3s subgroups === | ||