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6L 3s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS
| Name = hyrulic
| Periods = 3
| Periods = 3
| nLargeSteps = 6
| nLargeSteps = 6
| nSmallSteps = 3
| nSmallSteps = 3
| Equalized = 1
| Equalized = 1
| Paucitonic = 1
| Collapsed = 1
| Pattern = LLsLLsLLs
| Pattern = LLsLLsLLs
}}
}}
{{MOS intro}}


'''6L 3s''' is a MOS pattern with period 1\3.  
The tiny region between 26\171 and 281\1848 is the ''terrain'' region, giving the [[terrain9|albitonic scale]] for the remarkable [[terrain]] temperament [[chromatic pair]]. If you feel that is too small a region to allocate or prefer EDOs of a more usual size, you can call it the region between 5\33 and 6\39, but that misses the extreme accuracy of this temperament.


The tiny region between 26\171 and 281\1848 is the ''terrain'' region, giving the [[terrain9|abitonic scale]] for the remarkable terrain temperament [[Chromatic_pair|chromatic pair]]. If you feel that is too small a region to allocate or prefer edos of a more usual size, you can call it the region between 5/33 and 6/39, but that misses the extreme accuracy of this temperament.
For a more approachable temperament, try [[triforce]].


For a more down-to-earth temperament, try [[Triforce|triforce]].
== Intervals ==
{{MOS intervals}}


{| class="wikitable"
== Modes ==
|-
{{MOS mode degrees}}
! colspan="6" | Generator
! | Cents
!1500edo
! | Comments
|-
| | 1\9
| |
| |
| |
| |
| |
| | 133.3̄
| | 166.6̄
| style="text-align:center;" |
|-
| | 10\87
| |
| |
| |
| |
| |
| | 137.93…
| | 172.41…
| |
|-
| | 9\78
| |
| |
| |
| |
| |
| | 138.46…
| | 173.97…
| |
|-
| | 8\69
| |
| |
| |
| |
| |
| | 139.13…
| | 173.91…
| |
|-
|
|15\129
|
|
|
|
|139.53…
|174.41…
|
|-
| | 7\60
| |
| |
| |
| |
| |
| | 140
| | 175
| |
|-
| | 6\51
| |
| |
| |
| |
| |
| | 141.17…
| | 176.47…
| style="text-align:center;" |
|-
| |
| | 11\93
| |
| |
| |
| |
| | 141.93…
| | 177.41…
| style="text-align:center;" |
|-
| |
| | 16\135
| |
| |
| |
| |
| | 142.2̄
| | 177.7̄
| style="text-align:center;" |
|-
| |
| | 21\177
| |
| |
| |
| |
| | 142.37…
| | 177.96…
| style="text-align:center;" |
|-
| | 5\42
| |
| |
| |
| |
| |
| | 142.85…
| | 178.57…
| style="text-align:center;" |
|-
|
|14\117
|
|
|
|
|143.58…
|179.48…
|
|-
|
|9\75
|
|
|
|
|144
|180
|
|-
| | 4\33
| |
| |
| |
| |
| |
| | 145.4̄5̄
| | 181.8̄1̄
| style="text-align:center;" |
|-
|
|11\90
|
|
|
|
|146.6̄
|183.3̄
|
|-
|
|7\57
|
|
|
|
|147.36…
|184.21…
|
|-
|
|10\81
|
|
|
|
|148.14…
|185.18…
|
|-
|
|13\105
|
|
|
|
|148.57…
|185.71…
|
|-
|
|16\129
|
|
|
|
|148.83…
|186.04…
|
|-
|
|19\153
|
|
|
|
|149.01…
|186.27…
|
|-
| | 3\24
| |
| |
| |
| |
| |
| | 150
| | 187.5
| style="text-align:center;" |
|-
|
|11\87
|
|
|
|
|151.72…
|189.65…
|
|-
| |
| |
| |
| |
| |
| |
| | 151.70…
| | 189.63…
| |
|-
|
|8\63
|
|
|
|
|152.38…
|190.47…
|
|-
| |
| |
| |
| |
| |
| |
| | 152.78…
| | 190.98…
| style="text-align:center;" | Golden Triforce
|-
|
|
|13\102
|
|
|
|152.94…
|191.17…
|
|-
| |
| | 5\39
| |
| |
| |
| |
| | 153.84…
| | 192.30…
| style="text-align:center;" | Triforce is around here
|-
|
|
|12\93
|
|
|
|154.83…
|193.54…
|
|-
| |
| |
| |
| |
| |
| |
| | 155.2
| | 193.99…
| |
|-
|
|7\54
|
|
|
|
|155.5̄
|194.4̄
|
|-
|
|9\69
|
|
|
|
|156.52…
|195.65…
|
|-
|
|11\84
|
|
|
|
|157.14…
|196.42…
|
|-
|
|13\99
|
|
|
|
|157.5̄7̄
|196.9̄6̄
|
|-
|
|15\114
|
|
|
|
|157.89…
|197.36…
|
|-
|
|17\129
|
|
|
|
|158.13…
|197.67…
|
|-
|
|19\144
|
|
|
|
|158.3̄
|197.91…
|
|-
|
|21\159
|
|
|
|
|158.49…
|198.11…
|
|-
|
|23\174
|
|
|
|
|158.62…
|198.27…
|
|-
|
|25\189
|
|
|
|
|158.73…
|198.41…
|
|-
|
|27\204
|
|
|
|
|158.82…
|198.52…
|
|-
|
|29\219
|
|
|
|
|158.90…
|198.63…
|
|-
|
|31\234
|
|
|
|
|158.97…
|198.71…
|
|-
|
|33\249
|
|
|
|
|159.03…
|198.79…
|
|-
|
|
|35\264
|
|
|
|159.0̄9̄
|198.86…
|
|-
|
|
|
|37\279
|
|
|159.13…
|198.92…
|
|-
|
|
|
|
|39\294
|
|159.18…
|198.97…
|
|-
|
|
|
|
|
|41\309
|159.22…
|199.02…
|
|-
| | 2\15
| |
| |
| |
| |
| |
| | 160
| | 200
| style="text-align:center;" | Boundary of propriety (generators


smaller than this are proper)
== Scales ==
|-
* [[Triphi]] – L:s = [[φ]] tuning
|
* [[Terrain9]] – [[3558edo]] tuning
|21\156
|
|
|
|
|161.53…
|201.92…
|
|-
|
|19\141
|
|
|
|
|161.70…
|202.12…
|
|-
| |
| | 17\126
| |
| |
| |
| |
| | 161.90…
| | 202.38…
| style="text-align:center;" |
|-
| |
| | 15\111
| |
| |
| |
| |
| | 162.16…
| | 202.70…
| style="text-align:center;" |
|-
| |
| | 13\96
| |
| |
| |
| |
| | 162.50
| | 203.125
| style="text-align:center;" |
|-
| |
| | 11\81
| |
| |
| |
| |
| | 162.96…
| | 203.70…
| style="text-align:center;" |
|-
| |
| | 9\66
| |
| |
| |
| |
| | 163.6̄3̄
| | 204.5̄4̄
| style="text-align:center;" |
|-
| |
| | 7\51
| |
| |
| |
| |
| | 164.70…
| | 205.88…
| style="text-align:center;" |
|-
| |
| |
| | 12\87
| |
| |
| |
| | 165.51…
| | 206.89…
| style="text-align:center;" |
|-
|
|
|17\123
|
|
|
|165.85…
|207.31…
|
|-
| |
| | 5\36
| |
| |
| |
| |
| | 166.6̄
| | 208.3̄
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 167.92…
| | 209.91…
| style="text-align:center;" |
|-
| |
| | 8\57
| |
| |
| |
| |
| | 168.42…
| | 210.52…
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 168.92…
| | 211.15…
| style="text-align:center;" | L/s = e
|-
| |
| | 11\78
| |
| |
| |
| |
| | 169.23…
| | 211.53…
| style="text-align:center;" |
|-
| |
| | 14\99
| |
| |
| |
| |
| | 169.6̄9̄
| | 212.2̄1̄
| style="text-align:center;" |
|-
| |
| | 17\120
| |
| |
| |
| |
| | 170.00
| | 212.5
| style="text-align:center;" |
|-
|
|20\141
|
|
|
|
|170.21…
|212.76…
|
|-
|
|23\162
|
|
|
|
|170.37…
|212.96…
|
|-
|
|26\183
|
|
|
|
|170.49…
|213.11…
|
|-
| | 3\21
| |
| |
| |
| |
| |
| | 171.42…
| | 214.28…
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| | 172.53…
| | 215.67…
| style="text-align:center;" |<span style="display: block; text-align: center;">L/s = pi</span>
|-
| |
| | 16\111
| |
| |
| |
| |
| | 172.97…
| | 216.21…
| style="text-align:center;" |
|-
| |
| | 13\90
| |
| |
| |
| |
| | 173.3̄
| | 216.6̄
| style="text-align:center;" |
|-
| |
| | 10\69
| |
| |
| |
| |
| | 173.91…
| | 217,39…
| style="text-align:center;" |
|-
| |
| |
| | 17\117
| |
| |
| |
| | 174.35…
| | 217.94…
| style="text-align:center;" |
|-
| |
| | 7\48
| |
| |
| |
| |
| | 175.00
| | 218.75
| style="text-align:center;" |
|-
|
|
|18\123
|
|
|
|175.60…
|219.51…
|
|-
| |
| | 11\75
| |
| |
| |
| |
| | 176.00
| | 220
| style="text-align:center;" |
|-
|
|
|15\102
|
|
|
|176.47…
|220.58…
|
|-
|
|
|19\129
|
|
|
|176.74…
|220.93…
|
|-
|
|
|23\156
|
|
|
|176.92…
|221.15…
|
|-
| |
| | 4\27
| |
| |
| |
| |
| | 177.7̄
| | 222.2̄
| style="text-align:center;" | L/s = 4
|-
| |
| |
| | 17\114
| |
| |
| |
| | 178.94…
| | 223.68…
| style="text-align:center;" |
|-
| |
| |
| | 13\87
| |
| |
| |
| | 179.31…
| | 224.13…
| style="text-align:center;" |
|-
| |
| |
| | 9\60
| |
| |
| |
| | 180.00
| | 225
| style="text-align:center;" |
|-
|
|
|14\93
|
|
|
|180.64…
|225.80…
|
|-
|
|
|19\126
|
|
|
|180.95…
|226.19…
|
|-
| |
| | 5\33
| |
| |
| |
| |
| | 181.8̄1̄
| | 227.2̄7̄
| style="text-align:center;" |
|-
| |
| |
| | 26\171
| |
| |
| |
| | 182.45…
| | 228.07…
| style="text-align:center;" | Terrain is around here
|-
| |
| |
| | 21\138
| |
| |
| |
| | 182.60…
| | 228.26…
| style="text-align:center;" |
|-
| |
| |
| | 16\105
| |
| |
| |
| | 182.85…
| | 228.57…
| style="text-align:center;" |
|-
| |
| |
| | 11\72
| |
| |
| |
| | 183.3̄
| | 229.16̄
| style="text-align:center;" |
|-
| |
| | 6\39
| |
| |
| |
| |
| | 184.61…
| | 230.76…
| style="text-align:center;" |
|-
|
|
|19\123
|
|
|
|185.36…
|231.70…
|
|-
|
|
|13\84
|
|
|
|185.71…
|232.14…
|
|-
| |
| | 7\45
| |
| |
| |
| |
| | 186.6̄
| | 233.3̄
| |
|-
|
|
|15\96
|
|
|
|187.5
|234.375
|
|-
| |
| | 8\51
| |
| |
| |
| |
| | 188.23…
| | 235.29…
| |
|-
| |
| | 9\57
| |
| |
| |
| |
| | 189.47…
| | 236.84…
| |
|-
|
|
|19\120
|
|
|
|190
|237.5
|
|-
| |
| | 10\63
| |
| |
| |
| |
| | 190.47…
| | 238.09…
| |
|-
| | 1\6
| |
| |
| |
| |
| |
| | 200
| | 250
| style="text-align:center;" |
|}


[[Category:Abstract MOS patterns]]
== Scale tree ==
{{MOS tuning spectrum
| 11/7 = [[Hemimist]]
| 13/8 = Golden [[triforce]] (152.7864{{c}})
| 5/3 = [[Triforce]]
| 13/5 = Unnamed golden tuning (167.9285¢)
| 4/1 = [[Oodako]]
| 6/1 = [[Mirkat]]
}}
 
[[Category:9-tone scales]]
[[Category:Hyrulic| ]] <!-- main article -->
Retrieved from "https://en.xen.wiki/w/6L_3s"