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User:Moremajorthanmajor/8L 3s (perfect twelfth-equivalent): Difference between revisions

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Line 1,458: Line 1,458:
|LLsLLLsLLLs
|LLsLLLsLLLs
| style="text-align:center;" |<nowiki>8|2</nowiki>
| style="text-align:center;" |<nowiki>8|2</nowiki>
|(Great) Lydian b4, Ionian #11 (Distomian)
|(Great) Lydian f4, Ionian #11 (Distomian)
|-
|-
| |LLsLLLsLLsL
| |LLsLLLsLLsL
Line 1,470: Line 1,470:
| |LsLLLsLLLsL
| |LsLLLsLLLsL
| style="text-align:center;" |<nowiki>5|5</nowiki>
| style="text-align:center;" |<nowiki>5|5</nowiki>
| |(Great) Mixolydian b3, Dorian #10 (Livadeian)
| |(Great) Mixolydian f3, Dorian #10 (Livadeian)
|-
|-
| |LsLLLsLLsLL
| |LsLLLsLLsLL
Line 1,482: Line 1,482:
| |sLLLsLLLsLL
| |sLLLsLLLsLL
| style="text-align:center;" |<nowiki>2|8</nowiki>
| style="text-align:center;" |<nowiki>2|8</nowiki>
| |(Great) Aeolian b2, Phrygian #9 (Theban)
| |(Great) Aeolian f2, Phrygian #9 (Theban)
|-
|-
| |sLLLsLLsLLL
| |sLLLsLLsLLL
Line 1,492: Line 1,492:
| |(Great) Locrian
| |(Great) Locrian
|}
|}
This temperament is named Obikhodic because the Obikhod pitch set is the Mixolydian mode with the tenth flattened
{| class="wikitable"
|+
|'''Mode'''
|[[Modal UDP Notation|'''UDP''']]
|'''Name'''
|-
|LLsLLsLLsLL
|<nowiki>6|4 b10</nowiki>
|(Great) Mixolydian f10
|-
|LsLLLLsLLsL
|<nowiki>5|5 b6</nowiki>
|(Great) Mixolydian f3 f6, Dorian f6 #10 (Livadeian f6)
|-
|sLLLLsLLsLL
|<nowiki>4|6 b2</nowiki>
|(Great) Dorian f2
|-
|LsLLsLLsLLL
|<nowiki>3|7 b9</nowiki>
|(Great) Aeolian f9
|-
|sLLsLLLLsLL
|<nowiki>2|8 b5</nowiki>
|(Great) Aeolian f2 f5, Phrygian f5 #9 (Theban f5)
|-
|LsLLsLLsLLL
|<nowiki>1|9 #2</nowiki>
|(Great) Phrygian #2
|-
|sLLsLLsLLLL
|<nowiki>0|10 b8</nowiki>
|(Great) Locrian f8
|-
|LLsLLLLsLLs
|<nowiki>10|0 b4</nowiki>
|(Great) Lydian f4 #8 (Tanagran f4)
|-
|LLLsLLsLLsL
|<nowiki>9|1 b11</nowiki>
|(Great) Lydian f11
|-
|LLsLLsLLLLs
|<nowiki>8|2 b7</nowiki>
|(Great) Lydian f4 f7, Ionian f7 #11 (Distomian Dominant)
|-
|LsLLLLsLLsL
|<nowiki>7|3 b3</nowiki>
|(Great) Ionian f3
|}
===Cyclic Permutation order===
===Cyclic Permutation order===
{| class="wikitable"
{| class="wikitable"
Line 1,504: Line 1,556:
|LABCDEFGHJKL
|LABCDEFGHJKL
|LLsLLLsLLLs
|LLsLLLsLLLs
| style="text-align:center;" |<nowiki>8|2</nowiki>
|<nowiki>8|2</nowiki>
|(Great) Distomian
|(Great) Distomian
|-
|-
Line 1,510: Line 1,562:
|ABCDEFGHJKLA
|ABCDEFGHJKLA
|LsLLLsLLLsL
|LsLLLsLLLsL
| style="text-align:center;" |<nowiki>5|5</nowiki>
|<nowiki>5|5</nowiki>
|(Great) Livadeian
|(Great) Livadeian
|-
|-
Line 1,516: Line 1,568:
|BCDEFGHJKLAB
|BCDEFGHJKLAB
|sLLLsLLLsLL
|sLLLsLLLsLL
| style="text-align:center;" |<nowiki>2|8</nowiki>
|<nowiki>2|8</nowiki>
|(Great) Theban
|(Great) Theban
|-
|-
Line 1,522: Line 1,574:
|CDEFGHJKLABC
|CDEFGHJKLABC
|LLLsLLLsLLs
|LLLsLLLsLLs
| style="text-align:center;" |<nowiki>10|0</nowiki>
|<nowiki>10|0</nowiki>
|(Great) Tanagran
|(Great) Tanagran
|-
|-
Line 1,528: Line 1,580:
|DEFGHJKLABCD
|DEFGHJKLABCD
|LLsLLLsLLsL
|LLsLLLsLLsL
| style="text-align:center;" |<nowiki>7|3</nowiki>
|<nowiki>7|3</nowiki>
|(Great) Ionian
|(Great) Ionian
|-
|-
Line 1,534: Line 1,586:
|EFGHJKLABCDE
|EFGHJKLABCDE
|LsLLLsLLsLL
|LsLLLsLLsLL
| style="text-align:center;" |<nowiki>4|6</nowiki>
|<nowiki>4|6</nowiki>
|(Great) Dorian
|(Great) Dorian
|-
|-
Line 1,540: Line 1,592:
|FGHJKLABCDEF
|FGHJKLABCDEF
|sLLLsLLsLLL
|sLLLsLLsLLL
| style="text-align:center;" |<nowiki>1|9</nowiki>
|<nowiki>1|9</nowiki>
|(Great) Phrygian
|(Great) Phrygian
|-
|-
Line 1,546: Line 1,598:
|GHJKLABCDEFG
|GHJKLABCDEFG
|LLLsLLsLLLs
|LLLsLLsLLLs
| style="text-align:center;" |<nowiki>9|1</nowiki>
|<nowiki>9|1</nowiki>
|(Great) Lydian
|(Great) Lydian
|-
|-
Line 1,552: Line 1,604:
|HJKLABCDEFGH
|HJKLABCDEFGH
|LLsLLsLLLsL
|LLsLLsLLLsL
| style="text-align:center;" |<nowiki>6|4</nowiki>
|<nowiki>6|4</nowiki>
|(Great) Mixolydian
|(Great) Mixolydian
|-
|-
Line 1,558: Line 1,610:
|JKLABCDEFGHJ
|JKLABCDEFGHJ
|LsLLsLLLsLL
|LsLLsLLLsLL
| style="text-align:center;" |<nowiki>3|7</nowiki>
|<nowiki>3|7</nowiki>
|(Great) Aeolian
|(Great) Aeolian
|-
|-
Line 1,564: Line 1,616:
|KLABCDEFGHJK
|KLABCDEFGHJK
|sLLsLLLsLLL
|sLLsLLLsLLL
| style="text-align:center;" |<nowiki>0|10</nowiki>
|<nowiki>0|10</nowiki>
|(Great) Locrian
|(Great) Locrian
|}
{| class="wikitable"
|+
!Spelling 1
!Spelling 2
!'''Mode'''
![[Modal UDP Notation|'''UDP''']]
!'''Name'''
|-
|GHJKLABfCDEFG
|LABCDEFfGHJKL
|LLsLLsLLLLs
| style="text-align:center;" |<nowiki>8|2 #8</nowiki>
|(Great) Distomian Dominant
|-
|HJKLABfCDEFGH
|ABCDEFfGHJKLA
|LsLLLLsLLsL
| style="text-align:center;" |<nowiki>5|5 b6</nowiki>
|(Great) Livadeian f6
|-
|JKLABfCDEFGHJ
|BCDEFfGHJKLAB
|sLLsLLLLsLL
| style="text-align:center;" |<nowiki>2|8 b5</nowiki>
|(Great) Theban f5
|-
|KLABfCDEFGHJK
|CDEFfGHJKLABC
|LLsLLLLsLLs
| style="text-align:center;" |<nowiki>10|0 b4</nowiki>
|(Great) Tanagran f4
|-
|LABfCDEFGHJKL
|DEFfGHJKLABCD
|LsLLLLsLLsL
| style="text-align:center;" |<nowiki>7|3 b3</nowiki>
|(Great) Ionian f3
|-
|ABfCDEFGHJKLA
|EFfGHJKLABCDE
|sLLLLsLLsLL
| style="text-align:center;" |<nowiki>4|6 b2</nowiki>
|(Great) Dorian f2
|-
|BfCDEFGHJKLABf
|FfGHJKLABCDEFf
|LsLLsLLsLLL
| style="text-align:center;" |<nowiki>1|9 #2</nowiki>
|(Great) Phrygian #2
|-
|CDEFGHJKLABfC
|GHJKLABCDEFfG
|LLLsLLsLLsL
| style="text-align:center;" |<nowiki>9|1 b11</nowiki>
|(Great) Lydian f11
|-
|DEFGHJKLABfCD
|HJKLABCDEFfGH
|LLsLLsLLsLL
| style="text-align:center;" |<nowiki>6|4 b10</nowiki>
|(Great) Mixolydian f10
|-
|EFGHJKLABfCDE
|JKLABCDEFfGHJ
|LsLLsLLsLLL
| style="text-align:center;" |<nowiki>3|7 b9</nowiki>
|(Great) Aeolian f9
|-
|FGHJKLABfCDEF
|KLABCDEFfGHJK
|sLLsLLsLLLL
| style="text-align:center;" |<nowiki>0|10 b8</nowiki>
|(Great) Locrian f8
|}
|}
===Notes on Naming===
===Notes on Naming===
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/8L_3s_(perfect_twelfth-equivalent)"