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Gallery of combination product sets: Difference between revisions

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There are infinite possible CPS scales, so this list can never be complete. If you find a CPS scale that you like, please document it here so that people can make music with it.
There are infinite possible CPS scales, so this list can never be complete. If you find a CPS scale that you like, please document it here so that people can make music with it.
—''Italicised text following an em-dash beside a listed scale is a description by a wiki contributor of the subjective mood they personally feel when listening to the scale.''




See also [[:Category:Combination product sets]], which may include scales that have yet to be added to this list.
See also [[:Category:Combination product sets]], which may include scales that have yet to be added to this list.
''Italicised text following an em-dash beside a listed scale is a description by a wiki contributor of the subjective mood they personally feel when listening to the scale.''


== Pentanies (5-tone) ==
== Pentanies (5-tone) ==
Line 63: Line 63:
|-
|-
| [[5-7-9-11 hexany]] || 32 || 35 || 11 || 11 || 270.079 || 165.004 || 1.636 || 0  
| [[5-7-9-11 hexany]] || 32 || 35 || 11 || 11 || 270.079 || 165.004 || 1.636 || 0  
|-
| [[1-3-5-13 hexany]] || 22 || 3 || 13 || 13 || 315.641 || 43.831 || 7.201 || 0
|-
| [[1-3-7-13 hexany]] || 24 || 3 || 13 || 13 || 573.656 || 92.601 || 6.194 || 0
|-
| [[1-3-9-13 hexany]] || 26 || 3 || 13 || 13 || 359.472 || 65.337 || 5.501 || 0
|-
| [[1-3-11-13 hexany]] || 28 || 3 || 13 || 13 || 412.745 || 138.572 || 2.980 || 0
|-
| [[1-5-7-13 hexany]] || 26 || 5 || 13 || 13 || 258.015 || 128.298 || 2.011 || 0
|-
| [[1-5-9-13 hexany]] || 28 || 5 || 13 || 13 || 250.303 || 177.068 || 1.413 || 0
|-
| [[1-5-11-13 hexany]] || 30 || 5 || 13 || 13 || 289.209 || 97.103 || 2.978 || 0
|-
| [[1-7-9-13 hexany]] || 30 || 7 || 13 || 13 || 405.443 || 75.611 || 5.362 || 0
|-
| [[1-7-11-13 hexany]] || 32 || 7 || 13 || 13 || 423.019 || 58.035 || 7.289 || 0
|-
| [[1-9-11-13 hexany]] || 34 || 9 || 13 || 13 || 347.407 || 12.064 || 28.796 || 0
|-
| [[3-5-7-13 hexany]] || 28 || 15 || 13 || 13 || 478.915 || 128.298 || 3.732 || 0
|-
| [[3-5-9-13 hexany]] || 30 || 15 || 13 || 13 || 315.641 || 43.831 || 7.201 || 0
|-
| [[3-5-11-13 hexany]] || 32 || 15 || 13 || 13 || 595.148 || 26.431 || 22.517 || 0
|-
| [[3-7-9-13 hexany]] || 32 || 21 || 13 || 13 || 369.746 || 128.298 || 2.881 || 0
|-
| [[3-7-11-13 hexany]] || 34 || 21 || 13 || 13 || 643.919 || 22.338 || 28.826 || 0
|-
| [[3-9-11-13 hexany]] || 36 || 27 || 13 || 13 || 412.745 || 138.572 || 2.978 || 0
|-
| [[5-7-9-13 hexany]] || 34 || 35 || 13 || 13 || 435.084 || 19.129 || 22.744 || 0
|-
| [[5-7-11-13 hexany]] || 36 || 35 || 13 || 13 || 328.278 || 36.705 || 8.943 || 0
|-
| [[5-9-11-13 hexany]] || 38 || 45 || 13 || 13 || 398.378 || 106.806 || 3.729 || 0
|-
| [[7-9-11-13 hexany]] || 40 || 63 || 13 || 13 || 289.209 || 128.298 || 2.254 || 0
|-
| [[1-3-5-15 hexany]] || 24 || 3 || 15 || 5 || 386.313 || 111.731 || 3.457 || 1
|-
| [[1-3-7-15 hexany]] || 26 || 3 || 15 || 7 || 582.512 || 111.731 || 5.213 || 0
|-
| [[1-3-9-15 hexany]] || 28 || 3 || 15 || 5 || 386.313 || 111.731 || 3.457 || 0
|-
| [[1-3-11-15 hexany]] || 30 || 3 || 15 || 11 || 386.313 || 38.905 || 9.929 || 0
|-
| [[1-3-13-15 hexany]] || 32 || 3 || 15 || 13 || 454.213 || 26.841 || 16.922 || 0
|-
| [[1-5-7-15 hexany]] || 28 || 5 || 15 || 7 || 470.781 || 111.731 || 4.213 || 0
|-
| [[1-5-9-15 hexany]] || 30 || 5 || 15 || 5 || 498.044 || 70.672 || 7.047 || 0
|-
| [[1-5-11-15 hexany]] || 32 || 5 || 15 || 11 || 386.313 || 53.272 || 7.251 || 0
|-
| [[1-5-13-15 hexany]] || 34 || 5 || 15 || 13 || 342.482 || 111.731 || 3.065 || 0
|-
| [[1-7-9-15 hexany]] || 32 || 7 || 15 || 7 || 653.184 || 84.467 || 7.733 || 0
|-
| [[1-7-11-15 hexany]] || 34 || 7 || 15 || 11 || 431.875 || 111.731 || 3.865 || 0
|-
| [[1-7-13-15 hexany]] || 36 || 7 || 15 || 13 || 721.084 || 16.566 || 43.527 || 0
|-
| [[1-9-11-15 hexany]] || 36 || 9 || 15 || 11 || 333.040 || 111.731 || 2.980 || 0
|-
| [[1-9-13-15 hexany]] || 38 || 9 || 15 || 13 || 524.866 || 43.831 || 11.974 || 0
|-
| [[1-11-13-15 hexany]] || 40 || 11 || 15 || 13 || 303.576 || 111.731 || 2.717 || 0
|-
| [[3-5-7-15 hexany]] || 30 || 15 || 15 || 7 || 266.871 || 119.442 || 2.234 || 0
|-
| [[3-5-9-15 hexany]] || 32 || 15 || 15 || 5 || 315.641 || 182.403 || 1.730 || 1
|-
| [[3-5-11-15 hexany]] || 34 || 15 || 15 || 11 || 347.407 || 150.637 || 2.306 || 0
|-
| [[3-5-13-15 hexany]] || 36 || 15 || 15 || 13 || 359.472 || 67.900 || 5.294 || 0
|-
| [[3-7-9-15 hexany]] || 34 || 21 || 15 || 7 || 378.602 || 48.770 || 7.763 || 0
|-
| [[3-7-11-15 hexany]] || 36 || 21 || 15 || 11 || 396.178 || 31.194 || 12.700 || 0
|-
| [[3-7-13-15 hexany]] || 38 || 21 || 15 || 13 || 685.388 || 19.129 || 35.829 || 0
|-
| [[3-9-11-15 hexany]] || 38 || 27 || 15 || 11 || 347.407 || 38.905 || 8.929 || 0
|-
| [[3-9-13-15 hexany]] || 40 || 27 || 15 || 13 || 250.313 || 138.572 || 1.806 || 0
|-
| [[3-11-13-15 hexany]] || 42 || 33 || 15 || 13 || 524.476 || 97.103 || 5.401 || 0
|-
| [[5-7-9-15 hexany]] || 36 || 35 || 15 || 7 || 315.641 || 62.961 || 5.103 || 0
|-
| [[5-7-11-15 hexany]] || 38 || 35 || 15 || 11 || 417.507 || 45.561 || 9.163 || 0
|-
| [[5-7-13-15 hexany]] || 40 || 35 || 15 || 13 || 369.746 || 119.442 || 3.095 || 0
|-
| [[5-9-11-15 hexany]] || 40 || 45 || 15 || 11 || 354.547 || 150.637 || 2.353 || 0
|-
| [[5-9-13-15 hexany]] || 42 || 45 || 15 || 13 || 315.641 || 65.337 || 4.830 || 0
|-
| [[5-11-13-15 hexany]] || 44 || 55 || 15 || 13 || 289.209 || 82.736 || 3.495 || 0
|-
| [[7-9-11-15 hexany]] || 42 || 63 || 15 || 11 || 315.641 || 101.866 || 3.098 || 0
|-
| [[7-9-13-15 hexany]] || 44 || 63 || 15 || 13 || 517.174 || 119.442 || 4.329 || 0
|-
| [[7-11-13-15 hexany]] || 46 || 77 || 15 || 13 || 534.750 || 119.442 || 4.477 || 0
|-
| [[9-11-13-15 hexany]] || 48 || 99 || 15 || 13 || 289.209 || 26.431 || 10.942 || 0
|}
|}
=== In no-3s [[subgroup]]s ===
=== In no-3s [[subgroup]]s ===
Line 69: Line 179:
* [[1-5-7-11 hexany]] — ''lopsided''
* [[1-5-7-11 hexany]] — ''lopsided''
* [[1-5-7-13 hexany]] — ''spicier whole tone scale''
* [[1-5-7-13 hexany]] — ''spicier whole tone scale''
* [[1-5-7-17 hexany]]
* [[1-5-11-17 hexany]] — ''unwieldy''
* [[1-5-13-17 hexany]]
* [[1-5-15-17 hexany]]
* [[1-7-11-13 hexany]] — ''extra [[xenharmonic]]''
* [[1-7-11-13 hexany]] — ''extra [[xenharmonic]]''
* [[1-7-11-17 hexany]] — ''both very useful and very [[xenharmonic]]''
* [[1-7-13-17 hexany]] — ''unwieldy''
* [[1-11-13-17 hexany]] — ''harmonically sparse, melodically compelling''


==== 5.n ====
==== 5.n ====
Line 80: Line 197:
* [[1-3-7-11 hexany]] — ''symmetrical shape; 2 strong tonal centres''
* [[1-3-7-11 hexany]] — ''symmetrical shape; 2 strong tonal centres''
* [[1-3-7-13 hexany]] — ''extra xenharmonic''
* [[1-3-7-13 hexany]] — ''extra xenharmonic''
* [[1-3-7-17 hexany]]
* [[1-3-7-21 hexany]] — ''a [[detempering]] of the [[semaphore]] scale''
* [[1-3-7-21 hexany]] — ''a [[detempering]] of the [[semaphore]] scale''
* [[1-3-9-11 hexany]] — ''an even mix of xenharmonic and familiar''
* [[1-3-9-11 hexany]] — ''an even mix of xenharmonic and familiar''
Line 85: Line 203:
* [[1-3-9-17 hexany]] — ''whole tone scale-like structure, but new unfamiliar melodies and harmonies''
* [[1-3-9-17 hexany]] — ''whole tone scale-like structure, but new unfamiliar melodies and harmonies''
* [[1-3-11-13 hexany]] — ''sounds surprisingly un-xenharmonic''
* [[1-3-11-13 hexany]] — ''sounds surprisingly un-xenharmonic''
* [[1-3-11-17 hexany]]
* [[1-3-13-17 hexany]]
* [[:File:Hexany 1 3 21 29.png|1-3-21-29 hexany]] — ''fierce, groovy, dark''
* [[:File:Hexany 1 3 21 29.png|1-3-21-29 hexany]] — ''fierce, groovy, dark''
* [[1-3-21-49 hexany]] — ''a [[detempering]] of the [[slendric]] scale''
* [[1-3-21-49 hexany]] — ''a [[detempering]] of the [[slendric]] scale''
* [[1-7-9-11 hexany]] — ''warped xenharmonic whole tone scale''
* [[1-7-9-11 hexany]] — ''warped xenharmonic whole tone scale''
* [[1-7-9-13 hexany]] — ''lopsided''
* [[1-7-9-13 hexany]] — ''lopsided''
* [[1-7-9-17 hexany]]
* [[1-9-11-17 hexany]]
* [[1-9-13-17 hexany]]


==== 3.n ====
==== 3.n ====
Line 107: Line 230:
* [[1-3-5-13 hexany]] — ''stable chord roots + very xenharmonic''
* [[1-3-5-13 hexany]] — ''stable chord roots + very xenharmonic''
* [[1-3-5-15 hexany]] — ''difficult to use''
* [[1-3-5-15 hexany]] — ''difficult to use''
* [[1-3-5-17 hexany]]
* [[1-3-5-45 hexany]] — ''very useful foundation for adding xenharmonic notes on top off; can play all ''Zelda'''s ocarina melodies''
* [[1-3-5-45 hexany]] — ''very useful foundation for adding xenharmonic notes on top off; can play all ''Zelda'''s ocarina melodies''
* [[1-3-5-81 hexany]] — ''built around subtle pitch shifts''
* [[1-3-5-81 hexany]] — ''built around subtle pitch shifts''
Line 113: Line 237:
* [[1-3-11-15 hexany]] — ''lopsided''
* [[1-3-11-15 hexany]] — ''lopsided''
* [[1-3-13-15 hexany]] — ''lopsided''
* [[1-3-13-15 hexany]] — ''lopsided''
* [[1-3-15-17 hexany]]
* [[1-5-9-11 hexany]] — ''very lopsided and very xenharmonic''
* [[1-5-9-11 hexany]] — ''very lopsided and very xenharmonic''
* [[1-5-9-13 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-9-13 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-9-15 hexany]] — ''easy to build [[dekany]]s with''
* [[1-5-9-15 hexany]] — ''easy to build [[dekany]]s with''
* [[1-5-9-17 hexany]]
* [[1-5-11-13 hexany]] — ''an [[omniconsonant scale]]''
* [[1-5-11-13 hexany]] — ''an [[omniconsonant scale]]''
* [[1-5-11-15 hexany]] — ''easy to build [[bihexany]]s with''
* [[1-5-11-15 hexany]] — ''easy to build [[bihexany]]s with''
Line 122: Line 248:
* [[1-9-11-13 hexany]] — ''better to remove one note and use as a [[pentatonic]] scale instead''
* [[1-9-11-13 hexany]] — ''better to remove one note and use as a [[pentatonic]] scale instead''
* [[1-9-13-15 hexany]] — ''lopsided''
* [[1-9-13-15 hexany]] — ''lopsided''
* [[1-9-15-17 hexany]] — ''lopsided''
* [[1-11-13-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
* [[1-11-13-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
* [[1-15-45-75 hexany]] — ''a [[detempering]] of the blues scale with sweet simple [[just intonation]] harmonies that blend well''
* [[1-15-45-75 hexany]] — ''a [[detempering]] of the blues scale with sweet simple [[just intonation]] harmonies that blend well''
Line 157: Line 284:
* [[1-7-9-15 hexany]] — ''lopsided but useful for making [[bihexany]]s''
* [[1-7-9-15 hexany]] — ''lopsided but useful for making [[bihexany]]s''
* [[1-7-13-15 hexany]] — ''useful for making [[bihexany]] versions of [[10edo]], which would be a type of [[neji]]''
* [[1-7-13-15 hexany]] — ''useful for making [[bihexany]] versions of [[10edo]], which would be a type of [[neji]]''
* [[1-7-15-17 hexany]] — ''unwieldy''


==== 3.n ====
==== 3.n ====
Line 222: Line 350:
[[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]]
Line 312: Line 565:


=== Not yet categorised ===
=== Not yet categorised ===
* [[1-3-7-31-365 dekany]]
* [[Deka1029]]
* [[Deka1029]]
* [[Deka126]]
* [[Deka126]]
Line 413: Line 667:
* [[1-3-5-9 by 17/12 bihexany]] — ''recommended''
* [[1-3-5-9 by 17/12 bihexany]] — ''recommended''
* [[1-5-9-15 by 17/12 bihexany]]
* [[1-5-9-15 by 17/12 bihexany]]
* [[1-5-9-17 by 10/7 bihexany]] — ''recommended''
* [[1-5-9-17 by 24/17 bihexany]] — ''recommended''
* [[1-5-15-17 by 6/5 bihexany]] — ''recommended''
* [[1-5-15-17 by 16/11 bihexany]] — ''recommended''
* [[1-7-9-17 by 4/3 bihexany]] — ''recommended''
* [[1-7-9-17 by 24/17 bihexany]] — ''recommended''
* [[1-9-11-17 by 3/2 bihexany]] — ''recommended''
* [[1-9-11-17 by 24/17 bihexany]] — ''recommended but spicy''
* [[1-9-15-17 by 24/17 bihexany]] — ''recommended''
* [[3-5-7-15 by 17/14 bihexany]]
* [[3-5-7-15 by 17/14 bihexany]]
* [[3-5-11-13 by 24/17 bihexany]]
* [[3-5-11-13 by 24/17 bihexany]]
Line 498: Line 761:
* [[Bihexanymyna]]
* [[Bihexanymyna]]
* [[GW Smith bihexany 14 Feb 2011]]
* [[GW Smith bihexany 14 Feb 2011]]
==== 1-3-5-9 variations ====
* [[1-3-5-9 by 4/3 bihexany]]
* [[1-3-5-9 by 6/5 bihexany]]
* [[1-3-5-9 by 8/5 bihexany]]
* [[1-3-5-9 by 10/9 bihexany]]
* [[1-3-5-9 by 13/10 bihexany]]
* [[1-3-5-9 by 16/9 bihexany]]
* [[1-3-5-9 by 16/15 bihexany]]
* [[1-3-5-9 by 25/18 bihexany]]
* [[1-3-5-9 by 27/20 bihexany]]
* [[1-3-5-9 by 32/27 bihexany]]
* [[1-3-5-9 by 11/9 bihexany]]


== Duohexanies (12-tone) ==
== Duohexanies (12-tone) ==
Line 511: Line 787:
[[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 ===
* [[1-5-7-11 stellated hexany]] — ''recommended''
* [[1-5-7-11 stellated hexany]] — ''recommended''
* [[1-5-7-13 stellated hexany]]
* [[1-5-7-13 stellated hexany]]
* [[1-5-7-17 stellated hexany]]
* [[1-5-11-13 stellated hexany]]
* [[1-5-11-13 stellated hexany]]
* [[1-5-11-17 stellated hexany]] — ''recommended''
* [[1-5-13-17 stellated hexany]]
* [[1-7-11-13 stellated hexany]] — ''recommended''
* [[1-7-11-13 stellated hexany]] — ''recommended''
* [[1-7-11-17 stellated hexany]]
* [[1-7-13-17 stellated hexany]]


=== In no-5s subgroups ===
=== In no-5s subgroups ===
Line 522: Line 956:
* [[1-3-7-11 stellated hexany]] — ''recommended''
* [[1-3-7-11 stellated hexany]] — ''recommended''
* [[1-3-7-13 stellated hexany]] — ''recommended''
* [[1-3-7-13 stellated hexany]] — ''recommended''
* [[1-3-7-17 stellated hexany]]
* [[1-3-9-11 stellated hexany]]
* [[1-3-9-11 stellated hexany]]
* [[1-3-9-13 stellated hexany]] — ''recommended''
* [[1-3-9-13 stellated hexany]] — ''recommended''
* [[1-3-9-17 stellated hexany]]
* [[1-3-11-13 stellated hexany]] — ''recommended''
* [[1-3-11-13 stellated hexany]] — ''recommended''
* [[1-3-11-17 stellated hexany]]
* [[1-3-13-17 stellated hexany]]
* [[1-3-21-49 stellated hexany]] - ''recommended, bendy microtones''
* [[1-7-9-11 stellated hexany]]
* [[1-7-9-11 stellated hexany]]
* [[1-7-9-13 stellated hexany]]
* [[1-7-9-13 stellated hexany]]
* [[1-7-9-17 stellated hexany]]
* [[1-9-11-17 stellated hexany]]
* [[1-9-13-17 stellated hexany]]
* [[3-7-9-11 stellated hexany]] — ''recommended''
* [[3-7-9-11 stellated hexany]] — ''recommended''
* [[3-7-9-13 stellated hexany]] — ''recommended, but with 2 notes removed - read article''
* [[3-7-9-13 stellated hexany]] — ''recommended, but with 2 notes removed - read article''
Line 539: Line 981:
* [[1-3-5-13 stellated hexany]]
* [[1-3-5-13 stellated hexany]]
* [[1-3-5-15 stellated hexany]] — ''not recommended for xenharmony, but it's a good JI version of the 'Hungarian minor' scale if one wants that''
* [[1-3-5-15 stellated hexany]] — ''not recommended for xenharmony, but it's a good JI version of the 'Hungarian minor' scale if one wants that''
* [[1-3-5-17 stellated hexany]]
* [[1-3-5-45 stellated hexany]]
* [[1-3-9-15 stellated hexany]]
* [[1-3-9-15 stellated hexany]]
* [[1-3-11-15 stellated hexany]]
* [[1-3-11-15 stellated hexany]]
* [[1-3-13-15 stellated hexany]] — ''recommended but spicy''
* [[1-3-13-15 stellated hexany]] — ''recommended but spicy''
* [[1-3-15-17 stellated hexany]]
* [[1-5-9-11 stellated hexany]]
* [[1-5-9-11 stellated hexany]]
* [[1-5-9-13 stellated hexany]]
* [[1-5-9-13 stellated hexany]]
* [[1-5-9-15 stellated hexany]]
* [[1-5-9-15 stellated hexany]]
* [[1-5-9-17 stellated hexany]]
* [[1-5-11-15 stellated hexany]]
* [[1-5-11-15 stellated hexany]]
* [[1-5-13-15 stellated hexany]]
* [[1-5-13-15 stellated hexany]]
* [[1-5-15-17 stellated hexany]]
* [[1-9-15-17 stellated hexany]]
* [[1-11-13-15 stellated hexany]]  — ''recommended''
* [[1-11-13-15 stellated hexany]]  — ''recommended''
* [[1-15-45-75 stellated hexany]] — ''recommended''
* [[1-15-45-75 stellated hexany]] — ''recommended''
Line 577: Line 1,025:
* [[1-7-9-15 stellated hexany]]
* [[1-7-9-15 stellated hexany]]
* [[1-7-13-15 stellated hexany]]
* [[1-7-13-15 stellated hexany]]
* [[1-7-15-17 stellated hexany]]
* [[3-5-7-9 stellated hexany]] — ''recommended with 2 notes removed - read article''
* [[3-5-7-9 stellated hexany]] — ''recommended with 2 notes removed - read article''
* [[3-5-7-13 stellated hexany]] — ''recommended''
* [[3-5-7-13 stellated hexany]] — ''recommended''
Line 602: Line 1,051:
== Pentadekanies (15-tone) ==
== Pentadekanies (15-tone) ==
''Main page: [[Pentadekany]]''
''Main page: [[Pentadekany]]''
 
{| 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
|-
| [[1-3-5-7-9-11 pentadekany]] || 36 || 3 || 11 || 11 || 150.637 || 31.194 || 4.829 || 0
|-
| [[1-3-5-7-9-13 pentadekany]] || 38 || 3 || 13 || 13 || 138.572 || 19.129 || 7.244 || 0
|-
| [[1-3-5-7-11-13 pentadekany]] || 40 || 3 || 13 || 13 || 138.572 || 22.338 || 6.203 || 0
|-
| [[1-3-5-9-11-13 pentadekany]] || 42 || 3 || 13 || 13 || 165.004 || 12.064 || 13.677 || 0
|-
| [[1-3-7-9-11-13 pentadekany]] || 44 || 3 || 13 || 13 || 138.572 || 12.064 || 11.486 || 0
|-
| [[1-5-7-9-11-13 pentadekany]] || 46 || 5 || 13 || 13 || 165.004 || 12.064 || 13.677 || 0
|-
| [[3-5-7-9-11-13 pentadekany]] || 48 || 15 || 13 || 13 || 150.637 || 19.129 || 7.874 || 0
|-
| [[1-3-5-7-9-15 pentadekany]] || 40 || 3 || 15 || 7 || 155.139 || 48.770 || 3.181 || 2
|-
| [[1-3-5-7-11-15 pentadekany]] || 42 || 3 || 15 || 11 || 165.004 || 31.194 || 5.289 || 1
|-
| [[1-3-5-7-13-15 pentadekany]] || 44 || 3 || 15 || 13 || 138.572 || 16.566 || 8.364 || 1
|-
| [[1-3-5-9-11-15 pentadekany]] || 44 || 3 || 15 || 11 || 165.004 || 31.194 || 5.289 || 2
|-
| [[1-3-5-9-13-15 pentadekany]] || 46 || 3 || 15 || 13 || 203.910 || 26.841 || 7.596 || 2
|-
| [[1-3-5-11-13-15 pentadekany]] || 48 || 3 || 15 || 13 || 150.637 || 26.841 || 5.612 || 1
|-
| [[1-3-7-9-11-15 pentadekany]] || 46 || 3 || 15 || 11 || 119.442 || 31.194 || 3.829 || 0
|-
| [[1-3-7-9-13-15 pentadekany]] || 48 || 3 || 15 || 13 || 138.572 || 16.566 || 8.364 || 0
|-
| [[1-3-7-11-13-15 pentadekany]] || 50 || 3 || 15 || 13 || 165.004 || 16.566 || 9.960 || 0
|-
| [[1-3-9-11-13-15 pentadekany]] || 52 || 3 || 15 || 13 || 165.004 || 12.064 || 13.677 || 0
|-
| [[1-5-7-9-11-15 pentadekany]] || 48 || 5 || 15 || 11 || 165.004 || 31.194 || 5.289 || 0
|-
| [[1-5-7-9-13-15 pentadekany]] || 50 || 5 || 15 || 13 || 203.910 || 16.566 || 12.308 || 0
|-
| [[1-5-7-11-13-15 pentadekany]] || 52 || 5 || 15 || 13 || 138.572 || 16.566 || 8.364 || 0
|-
| [[1-5-9-11-13-15 pentadekany]] || 54 || 5 || 15 || 13 || 138.572 || 12.064 || 11.486 || 0
|-
| [[1-7-9-11-13-15 pentadekany]] || 56 || 7 || 15 || 13 || 119.442 || 12.064 || 9.900 || 0
|-
| [[3-5-7-9-11-15 pentadekany]] || 50 || 15 || 15 || 11 || 165.004 || 31.194 || 5.289 || 1
|-
| [[3-5-7-9-13-15 pentadekany]] || 52 || 15 || 15 || 13 || 128.298 || 19.129 || 6.706 || 1
|-
| [[3-5-7-11-13-15 pentadekany]] || 54 || 15 || 15 || 13 || 150.637 || 19.129 || 7.874 || 0
|-
| [[3-5-9-11-13-15 pentadekany]] || 56 || 15 || 15 || 13 || 150.637 || 26.431 || 5.699 || 1
|-
| [[3-7-9-11-13-15 pentadekany]] || 58 || 21 || 15 || 13 || 138.572 || 19.129 || 7.244 || 0
|-
| [[5-7-9-11-13-15 pentadekany]] || 60 || 35 || 15 || 13 || 150.637 || 19.129 || 7.874 || 0
|-
|}
=== 1.3.n ===
=== 1.3.n ===
* [[1-3-5-7-9-11 pentadekany]]
* [[1-3-5-7-9-11 pentadekany]]
Line 645: Line 1,163:
== Eikosanies (20-tone) ==
== Eikosanies (20-tone) ==
''Main page: [[Eikosany]]''
''Main page: [[Eikosany]]''
{| 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
|-
| [[1-3-5-7-9-11 eikosany]] || 36 || 15 || 11 || 11 || 102.043 || 31.194 || 3.271 || 0
|-
| [[1-3-5-7-9-13 eikosany]] || 38 || 15 || 13 || 13 || 111.731 || 16.566 || 6.744 || 0
|-
| [[1-3-5-7-11-13 eikosany]] || 40 || 15 || 13 || 13 || 128.298 || 22.338 || 5.743 || 0
|-
| [[1-3-5-9-11-13 eikosany]] || 42 || 15 || 13 || 13 || 138.572 || 12.064 || 11.486 || 0
|-
| [[1-3-7-9-11-13 eikosany]] || 44 || 21 || 13 || 13 || 116.233 || 12.064 || 9.634 || 0
|-
| [[1-5-7-9-11-13 eikosany]] || 46 || 35 || 13 || 13 || 128.298 || 12.064 || 10.634 || 0
|-
| [[3-5-7-9-11-13 eikosany]] || 48 || 105 || 13 || 13 || 131.507 || 19.129 || 6.874 || 0
|-
| [[1-3-5-7-9-15 eikosany]] || 40 || 15 || 15 || 7 || 119.442 || 7.711 || 15.489 || 4
|-
| [[1-3-5-7-11-15 eikosany]] || 42 || 15 || 15 || 11 || 119.442 || 9.864 || 12.108 || 2
|-
| [[1-3-5-7-13-15 eikosany]] || 44 || 15 || 15 || 13 || 128.298 || 16.566 || 7.744 || 2
|-
| [[1-3-5-9-11-15 eikosany]] || 44 || 15 || 15 || 11 || 165.004 || 17.399 || 9.483 || 4
|-
| [[1-3-5-9-13-15 eikosany]] || 46 || 15 || 15 || 13 || 138.572 || 26.841 || 5.162 || 4
|-
| [[1-3-5-11-13-15 eikosany]] || 48 || 15 || 15 || 13 || 138.572 || 12.064 || 11.486 || 2
|-
| [[1-3-7-9-11-15 eikosany]] || 46 || 21 || 15 || 11 || 116.233 || 31.194 || 3.726 || 0
|-
| [[1-3-7-9-13-15 eikosany]] || 48 || 21 || 15 || 13 || 119.442 || 16.566 || 7.210 || 0
|-
| [[1-3-7-11-13-15 eikosany]] || 50 || 21 || 15 || 13 || 128.298 || 16.566 || 7.744 || 0
|-
| [[1-3-9-11-13-15 eikosany]] || 52 || 27 || 15 || 13 || 111.731 || 12.064 || 9.261 || 0
|-
| [[1-5-7-9-11-15 eikosany]] || 48 || 35 || 15 || 11 || 123.372 || 31.194 || 3.954 || 0
|-
| [[1-5-7-9-13-15 eikosany]] || 50 || 35 || 15 || 13 || 119.442 || 16.566 || 7.210 || 0
|-
| [[1-5-7-11-13-15 eikosany]] || 52 || 35 || 15 || 13 || 119.442 || 16.566 || 7.210 || 0
|-
| [[1-5-9-11-13-15 eikosany]] || 54 || 45 || 15 || 13 || 121.173 || 4.925 || 24.603 || 0
|-
| [[1-7-9-11-13-15 eikosany]] || 56 || 63 || 15 || 13 || 111.731 || 12.064 || 9.261 || 0
|-
| [[3-5-7-9-11-15 eikosany]] || 50 || 105 || 15 || 11 || 119.442 || 31.194 || 3.829 || 2
|-
| [[3-5-7-9-13-15 eikosany]] || 52 || 105 || 15 || 13 || 128.298 || 19.129 || 6.706 || 2
|-
| [[3-5-7-11-13-15 eikosany]] || 54 || 105 || 15 || 13 || 128.298 || 19.129 || 6.706 || 0
|-
| [[3-5-9-11-13-15 eikosany]] || 56 || 135 || 15 || 13 || 138.572 || 12.064 || 11.486 || 2
|-
| [[3-7-9-11-13-15 eikosany]] || 58 || 189 || 15 || 13 || 119.442 || 19.129 || 6.244 || 0
|-
| [[5-7-9-11-13-15 eikosany]] || 60 || 315 || 15 || 13 || 128.298 || 12.638 || 10.151 || 0
|-
|}


=== 1.3.n ===
=== 1.3.n ===
Line 690: Line 1,278:


== Other ==
== Other ==
=== Enaeikosanies (21-tone) ===
* [[1-3-5-7-9-11-13 enaeikosany]]
* [[1-3-5-7-9-11-13 enaeikosany]]
* [[1-3-5-7-9-11-15 enaeikosany]]
* [[1-3-5-7-9-11-15 enaeikosany]]
Line 698: Line 1,288:
* [[1-5-7-9-11-13-15 enaeikosany]]
* [[1-5-7-9-11-13-15 enaeikosany]]
* [[3-5-7-9-11-13-15 enaeikosany]]
* [[3-5-7-9-11-13-15 enaeikosany]]
=== Pentatriandekanies (35-tone) ===
* [[1-3-5-7-9-11-13 pentatriandekany]]
* [[1-3-5-7-9-11-13 pentatriandekany]]
* [[1-3-5-7-9-11-15 pentatriandekany]]
* [[1-3-5-7-9-11-15 pentatriandekany]]
Line 706: Line 1,298:
* [[1-5-7-9-11-13-15 pentatriandekany]]
* [[1-5-7-9-11-13-15 pentatriandekany]]
* [[3-5-7-9-11-13-15 pentatriandekany]]
* [[3-5-7-9-11-13-15 pentatriandekany]]
=== Larger scales ===
* [[1-3-5-7-9-11-13-15 hexapenindasany]]
* [[1-3-5-7-9-11-13-15 octaeikosany]]
* [[1-3-5-7-9-11-13-15 octaeikosany]]
* [[1-3-5-7-9-11-13-15 evdomindasany]]


{{navbox scale gallery}}
{{navbox scale gallery}}
Retrieved from "https://en.xen.wiki/w/Gallery_of_combination_product_sets"