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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.
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.


== Scale tree ==
== Scale tree ==
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|}


== Edos that contains this scale ==
== As an EDO subset ==
'''2 2 2 1 2 2 2 2 1 2 2 2 2 1: [[25edo|25]] (Middle range)'''
{| class="wikitable sortable"
 
|EDO
'''3 3 3 1 3 3 3 3 1 3 3 3 3 1: [[36edo|36]] (Lufsur range)'''
|Subset
 
|Special properties
'''3 3 3 2 3 3 3 3 2 3 3 3 3 2: [[39edo|39]] (Fuslur range)'''
|-
 
|[[25edo|25]]
4 4 4 1 4 4 4 4 1 4 4 4 4 1: [[47edo|47]]
|2 2 2 1 2 2 2 2 1 2 2 2 2 1
 
|Middle range
4 4 4 2 4 4 4 4 2 4 4 4 4 2: [[50edo|50]]
|-
 
|[[36edo|36]]
4 4 4 3 4 4 4 4 3 4 4 4 4 3: [[53edo|53]]
|3 3 3 1 3 3 3 3 1 3 3 3 3 1
 
|Lusfur range
5 5 5 1 5 5 5 5 1 5 5 5 5 1: [[58edo|58]]
|-
 
|[[39edo|39]]
'''5 5 5 2 5 5 5 5 2 5 5 5 5 2: [[61edo|61]] Split-φ'''
|3 3 3 2 3 3 3 3 2 3 3 3 3 2
 
|Fuslur range
'''5 5 5 3 5 5 5 5 3 5 5 5 5 3: [[64edo|64]]''' '''φ'''
|-
 
|[[47edo|47]]
5 5 5 4 5 5 5 5 4 5 5 5 5 4: [[67edo|67]]
|4 4 4 1 4 4 4 4 1 4 4 4 4 1
 
|
6 6 6 1 6 6 6 6 1 6 6 6 6 1: [[69edo|69]]
|-
 
|[[50edo|50]]
6 6 6 5 6 6 6 6 5 6 6 6 6 5: [[81edo|81]]
|4 4 4 2 4 4 4 4 2 4 4 4 4 2
 
|
7 7 7 1 7 7 7 7 1 7 7 7 7 1: [[80edo|80]]
|-
 
|[[53edo|53]]
7 7 7 2 7 7 7 7 2 7 7 7 7 2: [[83edo|83]]
|4 4 4 3 4 4 4 4 3 4 4 4 4 3
 
|
7 7 7 3 7 7 7 7 3 7 7 7 7 3: [[86edo|86]]
|-
 
|[[58edo|58]]
7 7 7 4 7 7 7 7 4 7 7 7 7 4: [[89edo|89]]
|5 5 5 1 5 5 5 5 1 5 5 5 5 1
 
|
7 7 7 5 7 7 7 7 5 7 7 7 7 5: [[92edo|92]]
|-
 
|[[61edo|61]]
7 7 7 6 7 7 7 7 6 7 7 7 7 6: [[95edo|95]]
|5 5 5 2 5 5 5 5 2 5 5 5 5 2
 
|Split-φ
8 8 8 1 8 8 8 8 1 8 8 8 8 1: [[91edo|91]]
|-
 
|[[64edo|64]]
'''8 8 8 3 8 8 8 8 3 8 8 8 8 3: [[97edo|97]] Split-φ'''
|5 5 5 3 5 5 5 5 3 5 5 5 5 3
 
|φ
'''8 8 8 5 8 8 8 8 5 8 8 8 8 5: [[103edo|103]]''' '''φ'''
|-
 
|[[67edo|67]]
8 8 8 7 8 8 8 8 7 8 8 8 8 7: [[109edo|109]]
|5 5 5 4 5 5 5 5 4 5 5 5 5 4
 
|
9 9 9 1 9 9 9 9 1 9 9 9 9 1: [[102edo|102]]
|-
 
|[[69edo|69]]
9 9 9 2 9 9 9 9 2 9 9 9 9 2: [[105edo|105]]
|6 6 6 1 6 6 6 6 1 6 6 6 6 1
 
|
9 9 9 4 9 9 9 9 4 9 9 9 9 4: [[111edo|111]]
|-
 
|[[81edo|81]]
9 9 9 5 9 9 9 9 5 9 9 9 9 5: [[114edo|114]]
|6 6 6 5 6 6 6 6 5 6 6 6 6 5
 
|
9 9 9 7 9 9 9 9 7 9 9 9 9 7: [[120edo|120]]
|-
 
|[[80edo|80]]
9 9 9 8 9 9 9 9 8 9 9 9 9 8: [[123edo|123]]
|7 7 7 1 7 7 7 7 1 7 7 7 7 1
 
|
10 10 10 1 10 10 10 10 1 10 10 10 10 1:[[113edo|113]]
|-
 
|[[83-limit|83]]
10 10 10 3 10 10 10 10 3 10 10 10 10 3: [[119edo|119]]
|7 7 7 2 7 7 7 7 2 7 7 7 7 2
 
|
10 10 10 7 10 10 10 10 7 10 10 10 10 7: [[131edo|131]]
|-
 
|[[86edo|86]]
10 10 10 9 10 10 10 10 9 10 10 10 10 9: [[137edo|137]]
|7 7 7 3 7 7 7 7 3 7 7 7 7 3
 
|
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]]
|-
 
|[[89edo|89]]
11 11 11 2 11 11 11 11 2 11 11 11 11 2: [[127edo|127]]
|7 7 7 4 7 7 7 7 4 7 7 7 7 4
 
|
11 11 11 3 11 11 11 11 3 11 11 11 11 3: [[130edo|130]]
|-
 
|[[92edo|92]]
11 11 11 4 11 11 11 11 4 11 11 11 11 4: [[133edo|133]]
|7 7 7 5 7 7 7 7 5 7 7 7 7 5
 
|
11 11 11 5 11 11 11 11 5 11 11 11 11 5: [[136edo|136]]
|-
 
|[[95edo|95]]
11 11 11 6 11 11 11 11 6 11 11 11 11 6: [[139edo|139]]
|7 7 7 6 7 7 7 7 6 7 7 7 7 6
 
|
11 11 11 7 11 11 11 11 7 11 11 11 11 7: [[142edo|142]]
|-
 
|[[91edo|91]]
11 11 11 8 11 11 11 11 8 11 11 11 11 8: [[145edo|145]]
|8 8 8 1 8 8 8 8 1 8 8 8 8 1
 
|
11 11 11 9 11 11 11 11 9 11 11 11 11 9 :[[148edo|148]]
|-
 
|[[97edo|97]]
11 11 11 10 11 11 11 11 10 11 11 11 11 10: [[151edo|151]]
|8 8 8 3 8 8 8 8 3 8 8 8 8 3
 
|Split-φ
12 12 12 1 12 12 12 12 1 12 12 12 12 1: [[135edo|135]]
|-
 
|[[103edo|103]]
12 12 12 5 12 12 12 12 5 12 12 12 12 5: [[147edo|147]]
|8 8 8 5 8 8 8 8 5 8 8 8 8 5
 
|φ
12 12 12 7 12 12 12 12 7 12 12 12 12 7: [[153edo|153]]
|-
 
|[[109edo|109]]
12 12 12 11 12 12 12 12 11 12 12 12 12 11: [[165edo|165]]
|8 8 8 7 8 8 8 8 7 8 8 8 8 7
 
|
13 13 13 1 13 13 13 13 1 13 13 13 13 1: [[146edo|146]]
|-
 
|[[102edo|102]]
13 13 13 2 13 13 13 13 2 13 13 13 13 2: [[149edo|149]]
|9 9 9 1 9 9 9 9 1 9 9 9 9 1
 
|
13 13 13 3 13 13 13 13 3 13 13 13 13 3: [[152edo|152]]
|-
 
|[[105edo|105]]
13 13 13 4 13 13 13 13 4 13 13 13 13 4: [[155edo|155]]
|9 9 9 2 9 9 9 9 2 9 9 9 9 2
 
|
'''13 13 13 5 13 13 13 13 5 13 13 13 13 5: [[158edo|158]] Split-φ'''
|-
 
|[[111edo|111]]
13 13 13 6 13 13 13 13 6 13 13 13 13 6: [[161edo|161]]
|9 9 9 4 9 9 9 9 4 9 9 9 9 4
 
|
13 13 13 7 13 13 13 13 7 13 13 13 13 7: [[164edo|164]]
|-
 
|[[114edo|114]]
'''13 13 13 8 13 13 13 13 8 13 13 13 13 8: [[167edo|167]]''' '''φ'''
|9 9 9 5 9 9 9 9 5 9 9 9 9 5
 
|
13 13 13 9 13 13 13 13 9 13 13 13 13 9: [[170edo|170]]
|-
 
|[[120edo|120]]
13 13 13 10 13 13 13 13 10 13 13 13 13 10: [[173edo|173]]
|9 9 9 7 9 9 9 9 7 9 9 9 9 7
 
|
13 13 13 11 13 13 13 13 11 13 13 13 13 11: [[176edo|176]]
|-
 
|[[123edo|123]]
13 13 13 12 13 13 13 13 12 13 13 13 13 12: [[179edo|179]]
|9 9 9 8 9 9 9 9 8 9 9 9 9 8
 
|
14 14 14 1 14 14 14 14 1 14 14 14 14 1: [[157edo|157]]
|-
 
|[[113edo|113]]
14 14 14 3 14 14 14 14 3 14 14 14 14 3: [[163edo|163]]
|10 10 10 1 10 10 10 10 1 10 10 10 10 1
 
|
14 14 14 5 14 14 14 14 5 14 14 14 14 5: [[169edo|169]]
|-
 
|[[119edo|119]]
14 14 14 9 14 14 14 14 9 14 14 14 14 9: [[181edo|181]]
|10 10 10 3 10 10 10 10 3 10 10 10 10 3
 
|
14 14 14 11 14 14 14 14 11 14 14 14 14 11: [[187edo|187]]
|-
 
|[[131edo|131]]
14 14 14 13 14 14 14 14 13 14 14 14 14 13: [[193edo|193]]
|10 10 10 7 10 10 10 10 7 10 10 10 10 7
 
|
15 15 15 1 15 15 15 15 1 15 15 15 15 1: [[168edo|168]]
|-
 
|[[137edo|137]]
15 15 15 2 15 15 15 15 2 15 15 15 15 2: [[171edo|171]]
|10 10 10 9 10 10 10 10 9 10 10 10 10 9
 
|
15 15 15 4 15 15 15 15 4 15 15 15 15 4: [[177edo|177]]
|-
 
|[[124edo|124]]
15 15 15 7 15 15 15 15 7 15 15 15 15 7: [[186edo|186]]
|11 11 11 1 11 11 11 11 1 11 11 11 11 1
 
|
15 15 15 8 15 15 15 15 8 15 15 15 15 8: [[189edo|189]]
|-
 
|[[127edo|127]]
15 15 15 11 15 15 15 15 11 15 15 15 15 11: [[198edo|198]]
|11 11 11 2 11 11 11 11 2 11 11 11 11 2
 
|
15 15 15 13 15 15 15 15 13 15 15 15 15 13: [[204edo|204]]
|-
 
|[[130edo|130]]
15 15 15 14 15 15 15 15 14 15 15 15 15 14: [[207edo|207]]
|11 11 11 3 11 11 11 11 3 11 11 11 11 3
 
|
16 16 16 1 16 16 16 16 1 16 16 16 16 1: [[179edo|179]]
|-
 
|[[133edo|133]]
16 16 16 3 16 16 16 16 3 16 16 16 16 3: [[185edo|185]]
|11 11 11 4 11 11 11 11 4 11 11 11 11 4
 
|
16 16 16 5 16 16 16 16 5 16 16 16 16 5: [[191edo|191]]
|-
 
|[[136edo|136]]
16 16 16 7 16 16 16 16 7 16 16 16 16 7: [[197edo|197]]
|11 11 11 5 11 11 11 11 5 11 11 11 11 5
 
|
16 16 16 9 16 16 16 16 9 16 16 16 16 9: [[203edo|203]]
|-
 
|[[139edo|139]]
16 16 16 11 16 16 16 16 11 16 16 16 16 11: [[209edo|209]]
|11 11 11 6 11 11 11 11 6 11 11 11 11 6
 
|
16 16 16 13 16 16 16 16 13 16 16 16 16 13: [[215edo|215]]
|-
 
|[[142edo|142]]
16 16 16 15 16 16 16 16 15 16 16 16 16 15: [[221edo|221]]
|11 11 11 7 11 11 11 11 7 11 11 11 11 7
 
|
17 17 17 1 17 17 17 17 1 17 17 17 17 1: [[190edo|190]]
|-
 
|[[145edo|145]]
17 17 17 2 17 17 17 17 2 17 17 17 17 2: [[193edo|193]]
|11 11 11 8 11 11 11 11 8 11 11 11 11 8
 
|
17 17 17 3 17 17 17 17 3 17 17 17 17 3: [[196edo|196]]
|-
 
|[[148edo|148]]
17 17 17 4 17 17 17 17 4 17 17 17 17 4: [[199edo|199]]
|11 11 11 9 11 11 11 11 9 11 11 11 11 9
 
|
'''17 17 17 5 17 17 17 17 5 17 17 17 17 5: [[202edo|202]] (Top limit for Lufsur range)'''
|-
 
|[[151edo|151]]
'''17 17 17 6 17 17 17 17 6 17 17 17 17 6: [[205edo|205]]'''
|11 11 11 10 11 11 11 11 10 11 11 11 11 10
 
|
'''17 17 17 7 17 17 17 17 7 17 17 17 17 7: [[208edo|208]]'''
|-
 
|[[135edo|135]]
'''17 17 17 8 17 17 17 17 8 17 17 17 17 8: [[211edo|211]]'''
|12 12 12 1 12 12 12 12 1 12 12 12 12 1
 
|
'''17 17 17 9 17 17 17 17 9 17 17 17 17 9: [[214edo|214]]'''
|-
 
|[[147edo|147]]
'''17 17 17 10 17 17 17 17 10 17 17 17 17 10: [[217edo|217]]'''
|12 12 12 5 12 12 12 12 5 12 12 12 12 5
 
|
'''17 17 17 11 17 17 17 17 11 17 17 17 17 11: [[220edo|220]]'''
|-
 
|[[153edo|153]]
'''17 17 17 12 17 17 17 17 12 17 17 17 17 12: [[223edo|223]] (Top limit for Fuslur range)'''
|12 12 12 7 12 12 12 12 7 12 12 12 12 7
 
|
17 17 17 13 17 17 17 17 13 17 17 17 17 13: [[226edo|226]]
|-
 
|[[165edo|165]]
17 17 17 14 17 17 17 17 14 17 17 17 17 14: [[229edo|229]]
|12 12 12 11 12 12 12 12 11 12 12 12 12 11
 
|
17 17 17 15 17 17 17 17 15 17 17 17 17 15: [[232edo|232]]
|-
 
|[[146edo|146]]
17 17 17 16 17 17 17 17 16 17 17 17 17 16: [[235edo|235]]
|13 13 13 1 13 13 13 13 1 13 13 13 13 1
 
|
{{todo|cleanup}}
|-
 
|[[149edo|149]]
|13 13 13 2 13 13 13 13 2 13 13 13 13 2
|
|-
|[[152edo|152]]
|13 13 13 3 13 13 13 13 3 13 13 13 13 3
|
|-
|[[155edo|155]]
|13 13 13 4 13 13 13 13 4 13 13 13 13 4
|
|-
|[[158edo|158]]
|13 13 13 5 13 13 13 13 5 13 13 13 13 5
|Split-φ
|-
|[[161edo|161]]
|13 13 13 6 13 13 13 13 6 13 13 13 13 6
|
|-
|[[164edo|164]]
|13 13 13 7 13 13 13 13 7 13 13 13 13 7
|
|-
|[[167edo|167]]
|13 13 13 8 13 13 13 13 8 13 13 13 13 8
|φ
|-
|[[170edo|170]]
|13 13 13 9 13 13 13 13 9 13 13 13 13 9
|
|-
|[[173edo|173]]
|13 13 13 10 13 13 13 13 10 13 13 13 13 10
|
|-
|[[176edo|176]]
|13 13 13 11 13 13 13 13 11 13 13 13 13 11
|
|-
|[[179edo|179]]
|13 13 13 12 13 13 13 13 12 13 13 13 13 12
|
|-
|[[157edo|157]]
|14 14 14 1 14 14 14 14 1 14 14 14 14 1
|
|-
|[[163edo|163]]
|14 14 14 3 14 14 14 14 3 14 14 14 14 3
|
|-
|[[169edo|169]]
|14 14 14 5 14 14 14 14 5 14 14 14 14 5
|
|-
|[[181edo|181]]
|14 14 14 9 14 14 14 14 9 14 14 14 14 9
|
|-
|[[187edo|187]]
|14 14 14 11 14 14 14 14 11 14 14 14 14 11
|
|-
|[[193edo|193]]
|14 14 14 13 14 14 14 14 13 14 14 14 14 13
|
|-
|[[168edo|168]]
|15 15 15 1 15 15 15 15 1 15 15 15 15 1
|
|-
|[[171edo|171]]
|15 15 15 2 15 15 15 15 2 15 15 15 15 2
|
|-
|[[177edo|177]]
|15 15 15 4 15 15 15 15 4 15 15 15 15 4
|
|-
|[[186edo|186]]
|15 15 15 7 15 15 15 15 7 15 15 15 15 7
|
|-
|[[189edo|189]]
|15 15 15 8 15 15 15 15 8 15 15 15 15 8
|
|-
|[[198edo|198]]
|15 15 15 11 15 15 15 15 11 15 15 15 15 11
|
|-
|[[204edo|204]]
|15 15 15 13 15 15 15 15 13 15 15 15 15 13
|
|-
|[[207edo|207]]
|15 15 15 14 15 15 15 15 14 15 15 15 15 14
|
|-
|[[179edo|179]]
|16 16 16 1 16 16 16 16 1 16 16 16 16 1
|
|-
|[[185edo|185]]
|16 16 16 3 16 16 16 16 3 16 16 16 16 3
|
|-
|[[191edo|191]]
|16 16 16 5 16 16 16 16 5 16 16 16 16 5
|
|-
|[[197edo|197]]
|16 16 16 7 16 16 16 16 7 16 16 16 16 7
|
|-
|[[203edo|203]]
|16 16 16 9 16 16 16 16 9 16 16 16 16 9
|
|-
|[[209edo|209]]
|16 16 16 11 16 16 16 16 11 16 16 16 16 11
|
|-
|[[215edo|215]]
|16 16 16 13 16 16 16 16 13 16 16 16 16 13
|
|-
|[[221edo|221]]
|16 16 16 15 16 16 16 16 15 16 16 16 16 15
|
|-
|[[190edo|190]]
|17 17 17 1 17 17 17 17 1 17 17 17 17 1
|
|-
|[[193edo|193]]
|17 17 17 2 17 17 17 17 2 17 17 17 17 2
|
|-
|[[196edo|196]]
|17 17 17 3 17 17 17 17 3 17 17 17 17 3
|
|-
|[[199edo|199]]
|17 17 17 4 17 17 17 17 4 17 17 17 17 4
|
|-
|[[202edo|202]]
|17 17 17 5 17 17 17 17 5 17 17 17 17 5
|Top limit for Lusfur range
|-
|[[205edo|205]]
|17 17 17 6 17 17 17 17 6 17 17 17 17 6
|
|-
|[[208edo|208]]
|17 17 17 7 17 17 17 17 7 17 17 17 17 7
|
|-
|[[211edo|211]]
|17 17 17 8 17 17 17 17 8 17 17 17 17 8
|
|-
|[[214edo|214]]
|17 17 17 9 17 17 17 17 9 17 17 17 17 9
|
|-
|[[217edo|217]]
|17 17 17 10 17 17 17 17 10 17 17 17 17 10
|
|-
|[[220edo|220]]
|17 17 17 11 17 17 17 17 11 17 17 17 17 11
|
|-
|[[223edo|223]]
|17 17 17 12 17 17 17 17 12 17 17 17 17 12
|Top limit for Fuslur range
|-
|[[226edo|226]]
|17 17 17 13 17 17 17 17 13 17 17 17 17 13
|
|-
|[[229edo|229]]
|17 17 17 14 17 17 17 17 14 17 17 17 17 14
|
|-
|[[232edo|232]]
|17 17 17 15 17 17 17 17 15 17 17 17 17 15
|
|-
|[[235edo|235]]
|17 17 17 16 17 17 17 17 16 17 17 17 17 16
|
|}
[[Category:14-tone scales]]
[[Category:14-tone scales]]
Retrieved from "https://en.xen.wiki/w/11L_3s"