6L 3s: Difference between revisions

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Scale tree: move oodako a bit (doesn't need that much precision). + triforce
 
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| 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]]. 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]].
== Intervals ==
{{MOS intervals}}


== Modes ==
== Modes ==
* 6|0 LLsLLsLLs
{{MOS mode degrees}}
* 3|3 LsLLsLLsL
* 0|6 sLLsLLsLL


== Scales ==
== Scales ==
* [[Triphi]] – L:s = φ tuning
* [[Triphi]] – L:s = [[φ]] tuning
* [[Terrain9]] – 3558edo tuning
* [[Terrain9]] – [[3558edo]] tuning


== Scale tree ==
== Scale tree ==
Generator ranges:
{{MOS tuning spectrum
* Chroma-positive generator: 133.3333 cents (1\9) to 200 cents (1\6)
| 11/7 = [[Hemimist]]
* Chroma-negative generator: 200 cents (1\6) to 266.6667 cents (2\9)
| 13/8 = Golden [[triforce]] (152.7864{{c}})
 
| 5/3 = [[Triforce]]
{| class="wikitable center-all"
| 13/5 = Unnamed golden tuning (167.9285¢)
! colspan="6" | Generator
| 4/1 = [[Oodako]]
! Cents
| 6/1 = [[Mirkat]]
! L
}}
! s
! L/s
! Comments
|-
| 1\9 || || || || || || 133.333 || 1 || 1 || 1.000 ||
|-
| || || || || || 6\51 || 141.176 || 6 || 5 || 1.200 ||
|-
| || || || || 5\42 || || 142.857 || 5 || 4 || 1.250 ||
|-
| || || || || || 9\75 || 144.000 || 9 || 7 || 1.286 ||
|-
| || || || 4\33 || || || 145.455 || 4 || 3 || 1.333 ||
|-
| || || || || || 11\90 || 146.667 || 11 || 8 || 1.375 ||
|-
| || || || || 7\57 || || 147.368 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\81 || 148.148 || 10 || 7 || 1.429 ||
|-
| || || 3\24 || || || || 150.000 || 3 || 2 || 1.500 ||
|-
| || || || || || 11\87 || 151.724 || 11 || 7 || 1.571 || [[Hemimist]]
|-
| || || || || 8\63 || || 152.381 || 8 || 5 || 1.600 ||
|-
| || || || || || 13\102 || 152.911 || 13 || 8 || 1.625 || Golden [[triforce]] (152.7864¢)
|-
| || || || 5\39 || || || 153.846 || 5 || 3 || 1.667 ||
|-
| || || || || || 12\93 || 154.839 || 12 || 7 || 1.714 ||
|-
| || || || || 7\54 || || 155.556 || 7 || 4 || 1.750 ||
|-
| || || || || || 9\69 || 156.522 || 9 || 5 || 1.800 ||
|-
| || 2\15 || || || || || 160.000 || 2 || 1 || 2.000 || Basic hyrulic
|-
| || || || || || 9\66 || 163.636 || 9 || 4 || 2.250 ||
|-
| || || || || 7\51 || || 164.706 || 7 || 3 || 2.333 ||
|-
| || || || || || 12\87 || 165.517 || 12 || 5 || 2.400 ||
|-
| || || || 5\36 || || || 166.667 || 5 || 2 || 2.500 ||
|-
| || || || || || 13\93 || 167.742 || 13 || 5 || 2.600 || Unnamed golden tuning (167.9285¢)
|-
| || || || || 8\57 || || 168.421 || 8 || 3 || 2.667 ||
|-
| || || || || || 11\78 || 169.231 || 11 || 4 || 2.750 ||
|-
| || || 3\21 || || || || 171.439 || 3 || 1 || 3.000 ||
|-
| || || || || || 10\69 || 173.913 || 10 || 3 || 3.333 ||
|-
| || || || || 7\48 || || 175.000 || 7 || 2 || 3.500 ||
|-
| || || || || || 11\75 || 176.000 || 11 || 3 || 3.667 || [[Oodako]]
|-
| || || || 4\27 || || || 177.778 || 4 || 1 || 4.000 ||
|-
| || || || || || 9\60 || 180.000 || 9 || 2 || 4.500 ||
|-
| || || || || 5\33 || || 181.818 || 5 || 1 || 5.000 ||
|-
| || || || || || 6\39 || 184.615 || 6 || 1 || 6.000 || [[Mirkat]]
|-
| 1\6 || || || || || || 200.000 || 1 || 0 || → inf ||
|}


[[Category:Abstract MOS patterns]]
[[Category:9-tone scales]]
[[Category:9-tone scales]]
[[Category:Hyrulic| ]] <!-- main article -->
[[Category:Hyrulic| ]] <!-- main article -->