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| Pattern = LLLLsLLLLsLLLs
| Pattern = LLLLsLLLLsLLLs
}}
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The '''11L 3s''' [[MOS scale]] was named the "Ketradektriatoh scale" by [[Osmiorisbendi‎]]
{{MOS intro|Other Names=}}


This is a type of scale which denotes the use of a scale placed between [[11edo]] and [[14edo]], employing a ratio generator between 41/32 ~ 9/7 ([[25edo]] being the middle size of the Ketradektriatoh spectrum, in the 2:1 relation), resulting in a variant of tetradecatonic scale which conforms by this scheme: LLLLsLLLLsLLLs.
== Name ==
Vector Graphics proposes '''ketradekic''' as a name for this scale, based on the name "Ketradektriatoh scale" proposed by [[Osmiorisbendi‎]], adapted to fit scale naming conventions.


== Scale tree ==
== Modes ==
The next table below shows an extension of [[edo]]s which supports the Ketradektriatoh scale, with respect to the principal generator and their results for each L/s sizes:
{{MOS modes}}
{| class="wikitable"
|-
| 4\[[11edo|11]]
|
|
|
|
|
|
| 436.364
| 109.091
| 0
| style="text-align:center;" |
|-
|
|
|
|
|
|
| 29\[[80edo|80]]
| 435
| 105
| 15
|
|-
|
|
|
|
|
| 25\[[69edo|69]]
|
| 434.783
| 104.348
| 17.391
|
|-
|
|
|
|
| 21\[[58edo|58]]
|
|
| 434.483
| 103.448
| 20.69
|
|-
|
|
|
| 17\[[47edo|47]]
|
|
|
| 434.043
| 102.128
| 25.532
|
|-
|
|
|
|
| 30\[[83edo|83]]
|
|
| 433.735
| 101.208
| 28.916
|
|-
|
|
|
|
|
|
| 73\[[202edo|202]]
| 433.663
| 100.990
| 29.703
| Since here are the optimal range Lufsur mode (?)
|-
|
|
|
|
|
| 43\[[119edo|119]]
|
| 433.613
| 100.840
| 30.252
|
|-
|
|
|
|
|
|
|
| 433.459
| 100.377
| 31.95
|
|-
|
|
| 13\[[36edo|36]]
|
|
|
|
| 433.333
| 100
| 33.333
|
|-
|
|
|
|
|
|
|
| 433.048
| 99.144
| 36.473
|
|-
|
|
|
|
| 35\97
|
|
| 432.99
| 98.969
| 37.113
|
|-
|
|
|
|
|
|
|
| 432.933
| 98.799
| 37.738
|
|-
|
|
|
| 22\[[61edo|61]]
|
|
|
| 432.787
| 98.361
| 39.344
|
|-
|
| 9\[[25edo|25]]
|
|
|
|
|
| 432
| 96
| 48
| style="text-align:center;" | Boundary of propriety;


generators smaller than this are proper
== Intervals ==
|-
{{MOS intervals}}
|
|
|
|
|
|
|
| 431.417
| 94.25
| 54.4155
|
|-
|
|
|
| 23\[[64edo|64]]
|
|
|
| 431.25
| 93.75
| 56.25
|
|-
|
|
|
|
|
|
|
| 431.1185
| 93.355
| 57.697
|
|-
|
|
|
|
| 37\103
|
|
| 431.068
| 93.204
| 58.25
|
|-
|
|
|
|
|
|
|
| 430.984
| 92.952
| 58.175
|
|-
|
|
| 14\[[39edo|39]]
|
|
|
|
| 430.769
| 92.308
| 61.538
|
|-
|
|
|
|
|
| 47\[[131edo|131]]
|
| 430.534
| 91.603
| 64.122
|
|-
|
|
|
|
|
|
| 80\[[223edo|223]]
| 430.493
| 91.480
| 64.575
| Until here are the optimal range Fuslur mode (?)
|-
|
|
|
|
| 33\[[92edo|92]]
|
|
| 430.435
| 91.304
| 65.217
|
|-
|
|
|
| 19\[[53edo|53]]
|
|
|
| 430.189
| 90.566
| 67.925
|
|-
|
|
|
|
| 24\[[67edo|67]]
|
|
| 429.851
| 89.552
| 71.642
|
|-
|
|
|
|
|
| 29\[[81edo|81]]
|
| 429.63
| 88.889
| 74.074
|
|-
|
|
|
|
|
|
| 34\[[95edo|95]]
| 429.474
| 88.421
| 75.7895
|
|-
| 5\[[14edo|14]]
|
|
|
|
|
|
| 428.571
| 85.714
| 85.714
| style="text-align:center;" |
|}


== Edos that contains this scale ==
== Scale tree ==
'''2 2 2 1 2 2 2 2 1 2 2 2 2 1: [[25edo|25]] (Middle range)'''
{{MOS tuning spectrum}}
 
'''3 3 3 1 3 3 3 3 1 3 3 3 3 1: [[36edo|36]] (Lufsur range)'''
 
'''3 3 3 2 3 3 3 3 2 3 3 3 3 2: [[39edo|39]] (Fuslur range)'''
 
4 4 4 1 4 4 4 4 1 4 4 4 4 1: [[47edo|47]]
 
4 4 4 2 4 4 4 4 2 4 4 4 4 2: [[50edo|50]]
 
4 4 4 3 4 4 4 4 3 4 4 4 4 3: [[53edo|53]]
 
5 5 5 1 5 5 5 5 1 5 5 5 5 1: [[58edo|58]]
 
'''5 5 5 2 5 5 5 5 2 5 5 5 5 2: [[61edo|61]] Split-φ'''
 
'''5 5 5 3 5 5 5 5 3 5 5 5 5 3: [[64edo|64]]''' '''φ'''
 
5 5 5 4 5 5 5 5 4 5 5 5 5 4: [[67edo|67]]
 
6 6 6 1 6 6 6 6 1 6 6 6 6 1: [[69edo|69]]
 
6 6 6 5 6 6 6 6 5 6 6 6 6 5: [[81edo|81]]
 
7 7 7 1 7 7 7 7 1 7 7 7 7 1: [[80edo|80]]
 
7 7 7 2 7 7 7 7 2 7 7 7 7 2: [[83edo|83]]
 
7 7 7 3 7 7 7 7 3 7 7 7 7 3: [[86edo|86]]
 
7 7 7 4 7 7 7 7 4 7 7 7 7 4: [[89edo|89]]
 
7 7 7 5 7 7 7 7 5 7 7 7 7 5: [[92edo|92]]
 
7 7 7 6 7 7 7 7 6 7 7 7 7 6: [[95edo|95]]
 
8 8 8 1 8 8 8 8 1 8 8 8 8 1: [[91edo|91]]
 
'''8 8 8 3 8 8 8 8 3 8 8 8 8 3: [[97edo|97]] Split-φ'''
 
'''8 8 8 5 8 8 8 8 5 8 8 8 8 5: [[103edo|103]]''' '''φ'''
 
8 8 8 7 8 8 8 8 7 8 8 8 8 7: [[109edo|109]]
 
9 9 9 1 9 9 9 9 1 9 9 9 9 1: [[102edo|102]]
 
9 9 9 2 9 9 9 9 2 9 9 9 9 2: [[105edo|105]]
 
9 9 9 4 9 9 9 9 4 9 9 9 9 4: [[111edo|111]]
 
9 9 9 5 9 9 9 9 5 9 9 9 9 5: [[114edo|114]]
 
9 9 9 7 9 9 9 9 7 9 9 9 9 7: [[120edo|120]]
 
9 9 9 8 9 9 9 9 8 9 9 9 9 8: [[123edo|123]]
 
10 10 10 1 10 10 10 10 1 10 10 10 10 1:[[113edo|113]]
 
10 10 10 3 10 10 10 10 3 10 10 10 10 3: [[119edo|119]]
 
10 10 10 7 10 10 10 10 7 10 10 10 10 7: [[131edo|131]]
 
10 10 10 9 10 10 10 10 9 10 10 10 10 9: [[137edo|137]]
 
11 11 11 '''<span style="color: #006209;">1</span>''' 11 11 11 11 '''<span style="color: #006209;">1</span>''' 11 11 11 11 '''<span style="color: #006209;">1</span>''': [[124edo|124]]
 
11 11 11 2 11 11 11 11 2 11 11 11 11 2: [[127edo|127]]
 
11 11 11 3 11 11 11 11 3 11 11 11 11 3: [[130edo|130]]
 
11 11 11 4 11 11 11 11 4 11 11 11 11 4: [[133edo|133]]
 
11 11 11 5 11 11 11 11 5 11 11 11 11 5: [[136edo|136]]
 
11 11 11 6 11 11 11 11 6 11 11 11 11 6: [[139edo|139]]
 
11 11 11 7 11 11 11 11 7 11 11 11 11 7: [[142edo|142]]
 
11 11 11 8 11 11 11 11 8 11 11 11 11 8: [[145edo|145]]
 
11 11 11 9 11 11 11 11 9 11 11 11 11 9 :[[148edo|148]]
 
11 11 11 10 11 11 11 11 10 11 11 11 11 10: [[151edo|151]]
 
12 12 12 1 12 12 12 12 1 12 12 12 12 1: [[135edo|135]]
 
12 12 12 5 12 12 12 12 5 12 12 12 12 5: [[147edo|147]]
 
12 12 12 7 12 12 12 12 7 12 12 12 12 7: [[153edo|153]]
 
12 12 12 11 12 12 12 12 11 12 12 12 12 11: [[165edo|165]]
 
13 13 13 1 13 13 13 13 1 13 13 13 13 1: [[146edo|146]]
 
13 13 13 2 13 13 13 13 2 13 13 13 13 2: [[149edo|149]]
 
13 13 13 3 13 13 13 13 3 13 13 13 13 3: [[152edo|152]]
 
13 13 13 4 13 13 13 13 4 13 13 13 13 4: [[155edo|155]]
 
'''13 13 13 5 13 13 13 13 5 13 13 13 13 5: [[158edo|158]] Split-φ'''
 
13 13 13 6 13 13 13 13 6 13 13 13 13 6: [[161edo|161]]
 
13 13 13 7 13 13 13 13 7 13 13 13 13 7: [[164edo|164]]
 
'''13 13 13 8 13 13 13 13 8 13 13 13 13 8: [[167edo|167]]''' '''φ'''
 
13 13 13 9 13 13 13 13 9 13 13 13 13 9: [[170edo|170]]
 
13 13 13 10 13 13 13 13 10 13 13 13 13 10: [[173edo|173]]
 
13 13 13 11 13 13 13 13 11 13 13 13 13 11: [[176edo|176]]
 
13 13 13 12 13 13 13 13 12 13 13 13 13 12: [[179edo|179]]
 
14 14 14 1 14 14 14 14 1 14 14 14 14 1: [[157edo|157]]
 
14 14 14 3 14 14 14 14 3 14 14 14 14 3: [[163edo|163]]
 
14 14 14 5 14 14 14 14 5 14 14 14 14 5: [[169edo|169]]
 
14 14 14 9 14 14 14 14 9 14 14 14 14 9: [[181edo|181]]
 
14 14 14 11 14 14 14 14 11 14 14 14 14 11: [[187edo|187]]
 
14 14 14 13 14 14 14 14 13 14 14 14 14 13: [[193edo|193]]
 
15 15 15 1 15 15 15 15 1 15 15 15 15 1: [[168edo|168]]
 
15 15 15 2 15 15 15 15 2 15 15 15 15 2: [[171edo|171]]
 
15 15 15 4 15 15 15 15 4 15 15 15 15 4: [[177edo|177]]
 
15 15 15 7 15 15 15 15 7 15 15 15 15 7: [[186edo|186]]
 
15 15 15 8 15 15 15 15 8 15 15 15 15 8: [[189edo|189]]
 
15 15 15 11 15 15 15 15 11 15 15 15 15 11: [[198edo|198]]
 
15 15 15 13 15 15 15 15 13 15 15 15 15 13: [[204edo|204]]
 
15 15 15 14 15 15 15 15 14 15 15 15 15 14: [[207edo|207]]
 
16 16 16 1 16 16 16 16 1 16 16 16 16 1: [[179edo|179]]
 
16 16 16 3 16 16 16 16 3 16 16 16 16 3: [[185edo|185]]
 
16 16 16 5 16 16 16 16 5 16 16 16 16 5: [[191edo|191]]
 
16 16 16 7 16 16 16 16 7 16 16 16 16 7: [[197edo|197]]
 
16 16 16 9 16 16 16 16 9 16 16 16 16 9: [[203edo|203]]
 
16 16 16 11 16 16 16 16 11 16 16 16 16 11: [[209edo|209]]
 
16 16 16 13 16 16 16 16 13 16 16 16 16 13: [[215edo|215]]
 
16 16 16 15 16 16 16 16 15 16 16 16 16 15: [[221edo|221]]
 
17 17 17 1 17 17 17 17 1 17 17 17 17 1: [[190edo|190]]
 
17 17 17 2 17 17 17 17 2 17 17 17 17 2: [[193edo|193]]
 
17 17 17 3 17 17 17 17 3 17 17 17 17 3: [[196edo|196]]
 
17 17 17 4 17 17 17 17 4 17 17 17 17 4: [[199edo|199]]
 
'''17 17 17 5 17 17 17 17 5 17 17 17 17 5: [[202edo|202]] (Top limit for Lufsur range)'''
 
'''17 17 17 6 17 17 17 17 6 17 17 17 17 6: [[205edo|205]]'''
 
'''17 17 17 7 17 17 17 17 7 17 17 17 17 7: [[208edo|208]]'''
 
'''17 17 17 8 17 17 17 17 8 17 17 17 17 8: [[211edo|211]]'''
 
'''17 17 17 9 17 17 17 17 9 17 17 17 17 9: [[214edo|214]]'''
 
'''17 17 17 10 17 17 17 17 10 17 17 17 17 10: [[217edo|217]]'''
 
'''17 17 17 11 17 17 17 17 11 17 17 17 17 11: [[220edo|220]]'''
 
'''17 17 17 12 17 17 17 17 12 17 17 17 17 12: [[223edo|223]] (Top limit for Fuslur range)'''
 
17 17 17 13 17 17 17 17 13 17 17 17 17 13: [[226edo|226]]
 
17 17 17 14 17 17 17 17 14 17 17 17 17 14: [[229edo|229]]
 
17 17 17 15 17 17 17 17 15 17 17 17 17 15: [[232edo|232]]
 
17 17 17 16 17 17 17 17 16 17 17 17 17 16: [[235edo|235]]


{{todo|cleanup}}
{{todo|expand}}


[[Category:14-tone scales]]
[[Category:14-tone scales]]
Retrieved from "https://en.xen.wiki/w/11L_3s"