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

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  
This temperament is named Obikhodic because the Obikhod pitch set is the Mixolydian mode with the tenth flattened or the Dorian mode with the third sharpened.
{| class="wikitable"
{| class="wikitable"
|+
|+
|'''Mode'''
|'''Mode'''
|[[Modal UDP Notation|'''UDP''']]
|[[Modal UDP Notation|'''UDP''']] 1
|'''Name'''
|[[Modal UDP Notation|'''UDP''']] 2
|'''Name 1'''
|'''Name 2'''
|-
|-
|LLsLLsLLsLL
|LLsLLsLLsLL
|<nowiki>6|4 b10</nowiki>
|<nowiki>6|4 b10</nowiki>
|<nowiki>4|6 #3</nowiki>
|(Great) Mixolydian f10
|(Great) Mixolydian f10
|(Great) Dorian #3
|-
|-
|LsLLLLsLLsL
|LsLLsLLLLsL
|<nowiki>5|5 b6</nowiki>
|<nowiki>5|5 b6</nowiki>
|<nowiki>3|7 #10</nowiki>
|(Great) Mixolydian f3 f6, Dorian f6 #10 (Livadeian f6)
|(Great) Mixolydian f3 f6, Dorian f6 #10 (Livadeian f6)
|(Great) Aeolian #10
|-
|-
|sLLLLsLLsLL
|sLLLLsLLsLL
|<nowiki>4|6 b2</nowiki>
|<nowiki>4|6 b2</nowiki>
|<nowiki>2|8 #6</nowiki>
|(Great) Dorian f2
|(Great) Dorian f2
|(Great) Aeolian f2 #6, Phrygian #6 #9 (Theban #6)
|-
|-
|LsLLsLLsLLL
|LsLLsLLsLLL
|<nowiki>3|7 b9</nowiki>
|<nowiki>3|7 b9</nowiki>
|<nowiki>1|9 #2</nowiki>
|(Great) Aeolian f9
|(Great) Aeolian f9
|(Great) Phrygian #2
|-
|-
|sLLsLLLLsLL
|sLLsLLLLsLL
|<nowiki>2|8 b5</nowiki>
|<nowiki>2|8 b5</nowiki>
|<nowiki>0|10 #9</nowiki>
|(Great) Aeolian f2 f5, Phrygian f5 #9 (Theban f5)
|(Great) Aeolian f2 f5, Phrygian f5 #9 (Theban f5)
|(Great) Locrian #9
|-
|-
|LsLLsLLsLLL
|LsLLsLLsLLL
|<nowiki>1|9 #2</nowiki>
|<nowiki>1|9 *b1</nowiki>
|(Great) Phrygian #2
|
|(Great) Phrygian *f1
|
|-
|LLLLsLLsLLs
|
|<nowiki>10|0 #5</nowiki>
|
|(Great) Lydian #5 #8 (Tanagran #5)
|-
|-
|sLLsLLsLLLL
|sLLsLLsLLLL
|<nowiki>0|10 b8</nowiki>
|<nowiki>0|10 b8</nowiki>
|<nowiki>9|1 *#1</nowiki>
|(Great) Locrian f8
|(Great) Locrian f8
|(Great) Lydian *#1
|-
|-
|LLsLLLLsLLs
|LLsLLLLsLLs
|<nowiki>10|0 b4</nowiki>
|<nowiki>10|0 b4</nowiki>
|<nowiki>8|2 #8</nowiki>
|(Great) Lydian f4 #8 (Tanagran f4)
|(Great) Lydian f4 #8 (Tanagran f4)
|(Great) Lydian f4 #8, Ionian #8 #11 (Distomian #8)
|-
|-
|LLLsLLsLLsL
|LLLsLLsLLsL
|<nowiki>9|1 b11</nowiki>
|<nowiki>9|1 b11</nowiki>
|<nowiki>7|3 #4</nowiki>
|(Great) Lydian f11
|(Great) Lydian f11
|(Great) Ionian #4
|-
|-
|LLsLLsLLLLs
|LLsLLsLLLLs
|<nowiki>8|2 b7</nowiki>
|<nowiki>8|2 b7</nowiki>
|<nowiki>6|4 #11</nowiki>
|(Great) Lydian f4 f7, Ionian f7 #11 (Distomian Dominant)
|(Great) Lydian f4 f7, Ionian f7 #11 (Distomian Dominant)
|(Great) Mixolydian #11
|-
|-
|LsLLLLsLLsL
|LsLLLLsLLsL
|<nowiki>7|3 b3</nowiki>
|<nowiki>7|3 b3</nowiki>
|<nowiki>5|5 #7</nowiki>
|(Great) Ionian f3
|(Great) Ionian f3
|(Great) Mixolydian f3 #7, Dorian #7 #10 (Livadeian #7)
|}
|}


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|LABCDEFfGHJKL
|LABCDEFfGHJKL
|LLsLLsLLLLs
|LLsLLsLLLLs
| style="text-align:center;" |<nowiki>8|2 #8</nowiki>
| style="text-align:center;" |<nowiki>8|2 b7</nowiki>
|(Great) Distomian Dominant
|(Great) Distomian Dominant
|-
|-
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|FfGHJKLABCDEFf
|FfGHJKLABCDEFf
|LsLLsLLsLLL
|LsLLsLLsLLL
| style="text-align:center;" |<nowiki>1|9 #2</nowiki>
| style="text-align:center;" |<nowiki>1|9 *b1</nowiki>
|(Great) Phrygian #2
|(Great) Phrygian *f1
|-
|-
|CDEFGHJKLABfC
|CDEFGHJKLABfC
Line 1,692: Line 1,722:
| style="text-align:center;" |<nowiki>0|10 b8</nowiki>
| style="text-align:center;" |<nowiki>0|10 b8</nowiki>
|(Great) Locrian f8
|(Great) Locrian f8
|}
{| class="wikitable"
!Spelling 1
!Spelling 2
!'''Mode'''
![[Modal UDP Notation|'''UDP''']]
!'''Name'''
|-
|GHJKLABC#DEFG
|LABCDEFG#HJKL
|LLsLLsLLLLs
|<nowiki>8|2 #8</nowiki>
|(Great) Distomian #8
|-
|HJKLABC#DEFGH
|ABCDEFG#HJKLA
|LsLLLLsLLsL
|<nowiki>5|5 #7</nowiki>
|(Great) Livadeian #7
|-
|JKLABC#DEFGHJ
|BCDEFG#HJKLAB
|sLLLLsLLsLL
|<nowiki>2|8 #6</nowiki>
|(Great) Theban #6
|-
|KLABC#DEFGHJK
|CDEFG#HJKLABC
|LLLLsLLsLLs
|<nowiki>10|0 #5</nowiki>
|(Great) Tanagran #5
|-
|LABC#DEFGHJKL
|DEFG#HJKLABCD
|LLLsLLsLLsL
|<nowiki>7|3 #4</nowiki>
|(Great) Ionian #4
|-
|ABC#DEFGHJKLA
|EFG#HJKLABCDE
|LLsLLsLLsLL
|<nowiki>4|6 #3</nowiki>
|(Great) Dorian #3
|-
|BC#DEFGHJKLAB
|FG#HJKLABCDEF
|LsLLsLLsLLL
|<nowiki>1|9 #2</nowiki>
|(Great) Phrygian #2
|-
|C#DEFGHJKLABC#
|G#HJKLABCDEFG#
|sLLsLLsLLLL
|<nowiki>9|1 *#1</nowiki>
|(Great) Lydian *#1
|-
|DEFGHJKLABC#D
|HJKLABCDEFG#H
|LLsLLsLLLLs
|<nowiki>6|4 #11</nowiki>
|(Great) Mixolydian #11
|-
|EFGHJKLABC#DE
|JKLABCDEFG#HJ
|LsLLsLLLLsL
|<nowiki>3|7 #10</nowiki>
|(Great) Aeolian #10
|-
|FGHJKLABC#DEF
|KLABCDEFG#HJK
|sLLsLLsLLLL
|<nowiki>0|10 #9</nowiki>
|(Great) Locrian #9
|}
|}
===Notes on Naming===
===Notes on Naming===