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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| Pattern = LLsLLsLLs
| Pattern = LLsLLsLLs
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{{MOS intro}}
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.


{{MOS intro}}
For a more approachable temperament, try [[triforce]].
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.


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


== Modes ==
== Modes ==
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== 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:9-tone scales]]
[[Category:9-tone scales]]
[[Category:Hyrulic| ]] <!-- main article -->
[[Category:Hyrulic| ]] <!-- main article -->