Xenharmonic Wiki

Gallery of combination product sets: Difference between revisions

← Older editNewer edit →
VisualWikitext
Yourmusic Productions (talk | contribs)
autopatrolled, emailconfirmed
1,927 edits
Add stellated hexany table
Yourmusic Productions (talk | contribs)
autopatrolled, emailconfirmed
1,927 edits
Add dekany table
Line 332: Line 332:
[[Category:10-tone scales]]
[[Category:10-tone scales]]
''Main page: [[Dekany]]''
''Main page: [[Dekany]]''
 
{| 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
|-
| [[1-3-5-7-9 dekany]] || 25 || 3 || 9 || 7 || 203.910 || 48.770 || 4.181 || 0
|-
| [[1-3-5-7-11 dekany]] || 27 || 3 || 11 || 11 || 333.040 || 31.194 || 10.676 || 0
|-
| [[1-3-5-9-11 dekany]] || 29 || 3 || 11 || 11 || 182.403 || 31.766 || 5.742 || 0
|-
| [[1-3-7-9-11 dekany]] || 31 || 3 || 11 || 11 || 203.910 || 53.272 || 3.827 || 0
|-
| [[1-5-7-9-11 dekany]] || 33 || 5 || 11 || 11 || 203.910 || 31.194 || 6.536 || 0
|-
| [[3-5-7-9-11 dekany]] || 35 || 15 || 11 || 11 || 165.004 || 31.766 || 5.194 || 0
|-
| [[1-3-5-7-13 dekany]] || 29 || 3 || 13 || 13 || 187.343 || 43.831 || 4.274 || 0
|-
| [[1-3-5-9-13 dekany]] || 31 || 3 || 13 || 13 || 203.910 || 43.831 || 4.652 || 0
|-
| [[1-3-5-11-13 dekany]] || 33 || 3 || 13 || 13 || 165.004 || 26.431 || 6.242 || 0
|-
| [[1-3-7-9-13 dekany]] || 33 || 3 || 13 || 13 || 231.174 || 62.961 || 3.671 || 0
|-
| [[1-3-7-11-13 dekany]] || 35 || 3 || 13 || 13 || 284.447 || 22.338 || 12.733 || 0
|-
| [[1-3-9-11-13 dekany]] || 37 || 3 || 13 || 13 || 208.835 || 12.064 || 17.310 || 0
|-
| [[1-5-7-9-13 dekany]] || 35 || 5 || 13 || 13 || 231.174 || 19.129 || 12.085 || 0
|-
| [[1-5-7-11-13 dekany]] || 37 || 5 || 13 || 13 || 258.015 || 31.194 || 8.271 || 0
|-
| [[1-5-9-11-13 dekany]] || 39 || 5 || 13 || 13 || 182.403 || 12.064 || 15.119 || 0
|-
| [[1-7-9-11-13 dekany]] || 41 || 7 || 13 || 13 || 231.174 || 12.064 || 19.162 || 0
|-
| [[3-5-7-9-13 dekany]] || 37 || 15 || 13 || 13 || 296.511 || 19.129 || 15.500 || 0
|-
| [[3-5-7-11-13 dekany]] || 39 || 15 || 13 || 13 || 328.278 || 22.338 || 14.695 || 0
|-
| [[3-5-9-11-13 dekany]] || 41 || 15 || 13 || 13 || 247.741 || 26.431 || 9.373 || 0
|-
| [[3-7-9-11-13 dekany]] || 43 || 21 || 13 || 13 || 150.637 || 22.338 || 6.743 || 0
|-
| [[5-7-9-11-13 dekany]] || 45 || 35 || 13 || 13 || 270.079 || 22.338 || 12.090 || 0
|-
| [[1-3-5-7-15 dekany]] || 31 || 3 || 15 || 7 || 266.871 || 84.467 || 3.159 || 1
|-
| [[1-3-5-9-15 dekany]] || 33 || 3 || 15 || 5 || 203.910 || 70.672 || 2.885 || 2
|-
| [[1-3-5-11-15 dekany]] || 35 || 3 || 15 || 11 || 235.676 || 38.905 || 6.057 || 1
|-
| [[1-3-5-13-15 dekany]] || 37 || 3 || 15 || 13 || 247.741 || 26.841 || 9.229 || 1
|-
| [[1-3-7-9-15 dekany]] || 35 || 3 || 15 || 7 || 266.871 || 48.770 || 5.474 || 0
|-
| [[1-3-7-11-15 dekany]] || 37 || 3 || 15 || 11 || 266.871 || 31.194 || 8.555 || 0
|-
| [[1-3-7-13-15 dekany]] || 39 || 3 || 15 || 13 || 454.213 || 16.566 || 27.418 || 0
|-
| [[1-3-9-11-15 dekany]] || 39 || 3 || 15 || 11 || 235.676 || 38.905 || 6.057 || 0
|-
| [[1-3-9-13-15 dekany]] || 41 || 3 || 15 || 13 || 247.741 || 26.841 || 9.229 || 0
|-
| [[1-3-11-13-15 dekany]] || 43 || 3 || 15 || 13 || 247.741 || 26.841 || 9.229 || 0
|-
| [[1-5-7-9-15 dekany]] || 37 || 5 || 15 || 7 || 266.871 || 48.770 || 5.474 || 0
|-
| [[1-5-7-11-15 dekany]] || 39 || 5 || 15 || 11 || 305.776 || 31.194 || 9.802 || 0
|-
| [[1-5-7-13-15 dekany]] || 41 || 5 || 15 || 13 || 223.039 || 16.566 || 14.328 || 0
|-
| [[1-5-9-11-15 dekany]] || 41 || 5 || 15 || 11 || 203.910 || 38.905 || 5.241 || 0
|-
| [[1-5-9-13-15 dekany]] || 43 || 5 || 15 || 13 || 203.910 || 43.831 || 4.652 || 0
|-
| [[1-5-11-13-15 dekany]] || 45 || 5 || 15 || 13 || 177.478 || 53.272 || 3.331 || 0
|-
| [[1-7-9-11-15 dekany]] || 43 || 7 || 15 || 11 || 203.910 || 84.467 || 2.414 || 0
|-
| [[1-7-9-13-15 dekany]] || 45 || 7 || 15 || 13 || 405.443 || 16.566 || 24.473 || 0
|-
| [[1-7-11-13-15 dekany]] || 47 || 7 || 15 || 13 || 303.576 || 16.566 || 18.325 || 0
|-
| [[1-9-11-13-15 dekany]] || 49 || 9 || 15 || 13 || 235.676 || 12.064 || 19.535 || 0
|-
| [[3-5-7-9-15 dekany]] || 39 || 15 || 15 || 7 || 266.871 || 48.770 || 5.472 || 1
|-
| [[3-5-7-11-15 dekany]] || 41 || 15 || 15 || 11 || 266.871 || 31.194 || 8.555 || 0
|-
| [[3-5-7-13-15 dekany]] || 43 || 15 || 15 || 13 || 231.174 || 19.129 || 12.085 || 0
|-
| [[3-5-9-11-15 dekany]] || 43 || 15 || 15 || 11 || 182.403 || 31.766 || 5.742 || 1
|-
| [[3-5-9-13-15 dekany]] || 45 || 15 || 15 || 13 || 247.741 || 43.831 || 5.652 || 1
|-
| [[3-5-11-13-15 dekany]] || 47 || 15 || 15 || 13 || 208.835 || 26.431 || 7.901 || 0
|-
| [[3-7-9-11-15 dekany]] || 45 || 21 || 15 || 11 || 266.871 || 31.194 || 8.555 || 0
|-
| [[3-7-9-13-15 dekany]] || 47 || 21 || 15 || 13 || 250.313 || 19.129 || 13.085 || 0
|-
| [[3-7-11-13-15 dekany]] || 49 || 21 || 15 || 13 || 396.178 || 19.129 || 20.710 || 0
|-
| [[3-9-11-13-15 dekany]] || 51 || 27 || 15 || 13 || 208.835 || 26.431 || 7.901 || 0
|-
| [[5-7-9-11-15 dekany]] || 47 || 35 || 15 || 11 || 235.104 || 45.561 || 5.160 || 0
|-
| [[5-7-9-13-15 dekany]] || 49 || 35 || 15 || 13 || 315.641 || 19.129 || 16.500 || 0
|-
| [[5-7-11-13-15 dekany]] || 51 || 35 || 15 || 13 || 289.209 || 36.705 || 7.879 || 0
|-
| [[5-9-11-13-15 dekany]] || 53 || 45 || 15 || 13 || 182.403 || 26.431 || 6.901 || 0
|-
| [[7-9-11-13-15 dekany]] || 55 || 63 || 15 || 13 || 187.343 || 26.431 || 7.088 || 0
|-
|}
=== In no-3s subgroups ===
=== In no-3s subgroups ===
* [[1-5-7-11-13 dekany]]
* [[1-5-7-11-13 dekany]]
Retrieved from "https://en.xen.wiki/w/Gallery_of_combination_product_sets"