6L 3s: Difference between revisions

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'''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|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.

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 down-to-earth temperament, try [[~~Triforce|~~triforce]].

For a more down-to-earth temperament, try [[triforce]].

== Modes ==

* 6|0 LLsLLsLLs

* 3|3 LsLLsLLsL

* 0|6 sLLsLLsLL

== Scales ==

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== Scale tree ==

Generator ranges:

* Chroma-positive generator: 133.3333 cents (1\9) to 200 cents (1\6)

* Chroma-negative generator: 200 cents (1\6) to 266.6667 cents (2\9)

{| class="wikitable center-all"

! colspan="6" | Generator

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| || || || || 7\57 || || 147.368 || 7 || 5 || 1.400 ||

|-

| || || || || || 10\81 || 148.148 || 10 || 7 || 1.~~428~~ ||

| || || || || || 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

| || || || || || 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 || ~~Unnamed golden tuning<br>Triforce~~ (~~optimal around here~~)

| || || || || || 13\102 || 152.911 || 13 || 8 || 1.625 || Golden [[triforce]] (152.7864¢)

|-

| || || || 5\39 || || || 153.846 || 5 || 3 || 1.667 ||

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| || || || 5\36 || || || 166.667 || 5 || 2 || 2.500 ||

|-

| || || || || || 13\93 || 167.742 || 13 || 5 || 2.600 || Unnamed golden tuning

| || || || || || 13\93 || 167.742 || 13 || 5 || 2.600 || Unnamed golden tuning (167.9285¢)

|-

| || || || || 8\57 || || 168.421 || 8 || 3 || 2.667 ||

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| || || || || 7\48 || || 175.000 || 7 || 2 || 3.500 ||

|-

| || || || || || 11\75 || 176.000 || 11 || 3 || 3.667 || Oodako

| || || || || || 11\75 || 176.000 || 11 || 3 || 3.667 || [[Oodako]]

|-

| || || || 4\27 || || || 177.778 || 4 || 1 || 4.000 ||

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| || || || || 5\33 || || 181.818 || 5 || 1 || 5.000 ||

|-

| || || || || || 6\39 || 184.615 || 6 || 1 || 6.000 || Mirkat

| || || || || || 6\39 || 184.615 || 6 || 1 || 6.000 || [[Mirkat]]

|-

| 1\6 || || || || || || 200.000 || 1 || 0 || → inf ||

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[[Category:Abstract MOS patterns]]

[[Category:9-tone scales]]

[[Category:Hyrulic| ]]

@@ Line 11: / Line 11: @@
 '''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|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.
+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 down-to-earth temperament, try [[Triforce|triforce]].
+For a more down-to-earth temperament, try [[triforce]].
+== Modes ==
+* 6|0 LLsLLsLLs
+* 3|3 LsLLsLLsL
+* 0|6 sLLsLLsLL
 == Scales ==
@@ Line 20: / Line 25: @@
 == Scale tree ==
+Generator ranges:
+* Chroma-positive generator: 133.3333 cents (1\9) to 200 cents (1\6)
+* Chroma-negative generator: 200 cents (1\6) to 266.6667 cents (2\9)
 {| class="wikitable center-all"
 ! colspan="6" | Generator
@@ Line 42: / Line 51: @@
 | || || || || 7\57 || || 147.368 || 7 || 5 || 1.400 ||
 |-
-| || || || || || 10\81 || 148.148 || 10 || 7 || 1.428 ||
+| || || || || || 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
+| || || || || || 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 || Unnamed golden tuning<br>Triforce (optimal around here)
+| || || || || || 13\102 || 152.911 || 13 || 8 || 1.625 || Golden [[triforce]] (152.7864¢)
 |-
 | || || || 5\39 || || || 153.846 || 5 || 3 || 1.667 ||
@@ Line 70: / Line 79: @@
 | || || || 5\36 || || || 166.667 || 5 || 2 || 2.500 ||
 |-
-| || || || || || 13\93 || 167.742 || 13 || 5 || 2.600 || Unnamed golden tuning
+| || || || || || 13\93 || 167.742 || 13 || 5 || 2.600 || Unnamed golden tuning (167.9285¢)
 |-
 | || || || || 8\57 || || 168.421 || 8 || 3 || 2.667 ||
@@ Line 82: / Line 91: @@
 | || || || || 7\48 || || 175.000 || 7 || 2 || 3.500 ||
 |-
-| || || || || || 11\75 || 176.000 || 11 || 3 || 3.667 || Oodako
+| || || || || || 11\75 || 176.000 || 11 || 3 || 3.667 || [[Oodako]]
 |-
 | || || || 4\27 || || || 177.778 || 4 || 1 || 4.000 ||
@@ Line 90: / Line 99: @@
 | || || || || 5\33 || || 181.818 || 5 || 1 || 5.000 ||
 |-
-| || || || || || 6\39 || 184.615 || 6 || 1 || 6.000 || Mirkat
+| || || || || || 6\39 || 184.615 || 6 || 1 || 6.000 || [[Mirkat]]
 |-
 | 1\6 || || || || || || 200.000 || 1 || 0 || → inf ||
@@ Line 96: / Line 105: @@
 [[Category:Abstract MOS patterns]]
+[[Category:9-tone scales]]
 [[Category:Hyrulic| ]] <!-- main article -->