User:Moremajorthanmajor/8L 3s (perfect twelfth-equivalent) - Revision history

Moremajorthanmajor: /* Scale tree */

2024-12-29T19:28:46Z

Scale tree

@@ Line 1,940: / Line 1,940: @@
 |17\160, <u>201.980</u>
 |8\160, <u>95.050</u>
 |-
 |7\19
@@ Line 1,950: / Line 1,960: @@
 |35\334, <u>199.052</u>
 |18\334, <u>102.370</u>
 |-
 |…

Moremajorthanmajor: /* Scale tree */

2024-11-26T06:58:32Z

Scale tree

Show changes

Moremajorthanmajor: Moremajorthanmajor moved page User:Moremajorthanmajor/8L 3s (perfect twelfth equivalent) to User:Moremajorthanmajor/8L 3s (perfect twelfth-equivalent)

2024-07-17T04:25:43Z

Moremajorthanmajor moved page User:Moremajorthanmajor/8L 3s (perfect twelfth equivalent) to User:Moremajorthanmajor/8L 3s (perfect twelfth-equivalent)

← Older revision	Revision as of 04:25, 17 July 2024
(No difference)

Moremajorthanmajor: /* Modes */

2023-10-17T02:32:59Z

Modes

← Older revision		Revision as of 02:32, 17 October 2023
Line 1,507:		Line 1,507:
	\|(Great) Dorian #3		\|(Great) Dorian #3
	\|-		\|-
	\|~~LsLLsLLLLsL~~		\|LLsLLsLLLLs
	\|<nowiki>5\|~~5 b6~~</nowiki>		\|<nowiki>8\|2 b7</nowiki>
	\|<nowiki>3\|7 #10</nowiki>		\|<nowiki>6\|4 #11</nowiki>
	\|(Great) Mixolydian ~~f3 f6, Dorian f6~~ #10 (~~Livadeian f6~~)		\|(Great) Lydian f4 f7, Ionian f7 #11 (Distomian Dominant)
	\|(Great) ~~Aeolian~~ #10		\|(Great) Mixolydian #11
			\|-
			\|LLsLLLLsLLs
			\|<nowiki>10\|0 b4</nowiki>
			\|<nowiki>8\|2 #8</nowiki>
			\|(Great) Lydian f4 #8 (Tanagran f4)
			\|(Great) Lydian f4 #8, Ionian #8 #11 (Distomian #8)
	\|-		\|-
	\|~~sLLLLsLLsLL~~		\|LLLLsLLsLLs
	\|<nowiki>4\|~~6 b2~~</nowiki>		\|<nowiki>1\|9 *b1</nowiki>
	\|<nowiki>2\|8 #6</nowiki>		\|<nowiki>10\|0 #5</nowiki>
	\|(Great) ~~Dorian f2~~		\|(Great) Phrygian *f1
	\|(Great) ~~Aeolian f2~~ #~~6, Phrygian~~ #~~6 #9~~ (~~Theban~~ #6)		\|(Great) Lydian #5 #8 (Tanagran #5)
	\|-		\|-
	\|LsLLsLLsLLL		\|LsLLsLLsLLL
Line 1,525:		Line 1,531:
	\|(Great) Phrygian #2		\|(Great) Phrygian #2
	\|-		\|-
	\|~~sLLsLLLLsLL~~		\|LsLLsLLLLsL
	\|<nowiki>2\|~~8 b5~~</nowiki>		\|<nowiki>5\|5 b6</nowiki>
	\|		\|<nowiki>3\|7 #10</nowiki>
	\|(Great) ~~Aeolian f2 f5~~, ~~Phrygian f5~~ #9 (~~Theban f5~~)		\|(Great) Mixolydian f3 f6, Dorian f6 #10 (Livadeian f6)
	\|		\|(Great) Aeolian #10
	\|-		\|-
	\|~~sLLsLLsLLLL~~		\|sLLLLsLLsLL
	\|		\|<nowiki>7\|3 b3</nowiki>
	\|<nowiki>0\|10 #9</nowiki>		\|<nowiki>5\|5 #7</nowiki>
	\|		\|(Great) Ionian f3
	\|(Great) ~~Locrian~~ #9		\|(Great) Mixolydian f3 #7, Dorian #7 #10 (Livadeian #7)
	\|-		\|-
	\|~~LsLLsLLsLLL~~		\|LLLsLLsLLsL
	\|<nowiki>1~~\|9 *b1~~</nowiki>		\|<nowiki>9\|1 b11</nowiki>
	\|		\|<nowiki>7\|3 #4</nowiki>
	~~\|(Great) Phrygian *f1~~		\|(Great) Lydian f11
	\|		\|(Great) Ionian #4
	\|-
	~~\|LLLLsLLsLLs~~
	\|
	\|<nowiki>10\|0 #5</nowiki>
	\|
	\|(Great) ~~Lydian~~ #~~5 #8 (Tanagran #5)~~
	\|-		\|-
	\|sLLsLLsLLLL		\|sLLsLLsLLLL
Line 1,555:		Line 1,555:
	\|(Great) Lydian *#1		\|(Great) Lydian *#1
	\|-		\|-
	\|~~LLsLLLLsLLs~~		\|sLLsLLLLsLL
	\|<nowiki>~~10\|0 b4</nowiki>~~		\|<nowiki>2\|8 b5</nowiki>
	~~\|<nowiki>8\|~~2 ~~#8</nowiki>~~		\|<nowiki>0\|10 #9</nowiki>
	~~\|(Great) Lydian f4 #8 (Tanagran f4)~~		\|(Great) Aeolian f2 f5, Phrygian f5 #9 (Theban f5)
	~~\|(Great) Lydian f4 #8, Ionian #8 #11 (Distomian #8)~~		\|(Great) Locrian #9
	\|-
	~~\|LLLsLLsLLsL~~
	~~\|<nowiki>9\|1 b11</nowiki>~~
	~~\|<nowiki>7\|3 #4</nowiki>~~
	~~\|(Great) Lydian f11~~
	~~\|(Great) Ionian #4~~
	\|-
	~~\|LLsLLsLLLLs~~
	\|~~<nowiki>~~8~~\|2 b7~~</nowiki>
	\|<nowiki>6\|4 #11</nowiki>
	\|(Great) ~~Lydian f4 f7~~, ~~Ionian f7~~ #11 (~~Distomian Dominant~~)
	\|(Great) ~~Mixolydian~~ #11
	\|-		\|-
	\|LsLLLLsLLsL		\|LsLLLLsLLsL
	\|<nowiki>7\|~~3 b3~~</nowiki>		\|<nowiki>4\|6 b2</nowiki>
	\|<nowiki>5\|5 #7</nowiki>		\|<nowiki>2\|8 #6</nowiki>
	\|(Great) ~~Ionian f3~~		\|(Great) Dorian f2
	\|(Great) ~~Mixolydian f3~~ #7, ~~Dorian~~ #7 #10 (~~Livadeian~~ #7)		\|(Great) Aeolian f2 #6, Phrygian #6 #9 (Theban #6)
	\|}		\|}

Line 1,798:		Line 1,786:
	\|FGHJKLABC#DEF		\|FGHJKLABC#DEF
	\|KLABCDEFG#HJK		\|KLABCDEFG#HJK
	\|~~sLLsLLsLLLL~~		\|sLLsLLLLsLL
	\|<nowiki>0\|10 #9</nowiki>		\|<nowiki>0\|10 #9</nowiki>
	\|(Great) Locrian #9		\|(Great) Locrian #9

Moremajorthanmajor: /* Modes */

2023-10-14T01:19:12Z

Modes

← Older revision		Revision as of 01:19, 14 October 2023
Line 1,444:		Line 1,444:
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
			\| style="text-align:center;" \|[[Modal UDP Notation\|'''UDP''']]
	\| style="text-align:center;" \|'''Mode'''		\| style="text-align:center;" \|'''Mode'''
	~~\| style="text-align:center;" \|[[Modal UDP Notation\|'''UDP''']]~~
	\| style="text-align:center;" \|'''Name'''		\| style="text-align:center;" \|'''Name'''
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>10\|0</nowiki>
	\|LLLsLLLsLLs		\|LLLsLLLsLLs
	~~\| style="text-align:center;" \|<nowiki>10\|0</nowiki>~~
	\|(Great) Lydian #8 (Tanagran)		\|(Great) Lydian #8 (Tanagran)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>9\|1</nowiki>
	\|LLLsLLsLLLs		\|LLLsLLsLLLs
	~~\| style="text-align:center;" \|<nowiki>9\|1</nowiki>~~
	\|(Great) Lydian		\|(Great) Lydian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>8\|2</nowiki>
	\|LLsLLLsLLLs		\|LLsLLLsLLLs
	~~\| style="text-align:center;" \|<nowiki>8\|2</nowiki>~~
	\|(Great) Lydian f4, Ionian #11 (Distomian)		\|(Great) Lydian f4, Ionian #11 (Distomian)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>7\|3</nowiki>
	\| \|LLsLLLsLLsL		\| \|LLsLLLsLLsL
	~~\| style="text-align:center;" \|<nowiki>7\|3</nowiki>~~
	\| \|(Great) Ionian		\| \|(Great) Ionian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>6\|4</nowiki>
	\| \|LLsLLsLLLsL		\| \|LLsLLsLLLsL
	~~\| style="text-align:center;" \|<nowiki>6\|4</nowiki>~~
	\| \|(Great) Mixolydian		\| \|(Great) Mixolydian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>5\|5</nowiki>
	\| \|LsLLLsLLLsL		\| \|LsLLLsLLLsL
	~~\| style="text-align:center;" \|<nowiki>5\|5</nowiki>~~
	\| \|(Great) Mixolydian f3, Dorian #10 (Livadeian)		\| \|(Great) Mixolydian f3, Dorian #10 (Livadeian)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>4\|6</nowiki>
	\| \|LsLLLsLLsLL		\| \|LsLLLsLLsLL
	~~\| style="text-align:center;" \|<nowiki>4\|6</nowiki>~~
	\| \|(Great) Dorian		\| \|(Great) Dorian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>3\|7</nowiki>
	\| \|LsLLsLLLsLL		\| \|LsLLsLLLsLL
	~~\| style="text-align:center;" \|<nowiki>3\|7</nowiki>~~
	\| \|(Great) Aeolian		\| \|(Great) Aeolian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>2\|8</nowiki>
	\| \|sLLLsLLLsLL		\| \|sLLLsLLLsLL
	~~\| style="text-align:center;" \|<nowiki>2\|8</nowiki>~~
	\| \|(Great) Aeolian f2, Phrygian #9 (Theban)		\| \|(Great) Aeolian f2, Phrygian #9 (Theban)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>1\|9</nowiki>
	\| \|sLLLsLLsLLL		\| \|sLLLsLLsLLL
	~~\| style="text-align:center;" \|<nowiki>1\|9</nowiki>~~
	\| \|(Great) Phrygian		\| \|(Great) Phrygian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>0\|10</nowiki>
	\| \|sLLsLLLsLLL		\| \|sLLsLLLsLLL
	~~\| style="text-align:center;" \|<nowiki>0\|10</nowiki>~~
	\| \|(Great) Locrian		\| \|(Great) Locrian
	\|}		\|}

Moremajorthanmajor: /* Modes */

2023-10-03T23:23:49Z

Modes

← Older revision		Revision as of 23:23, 3 October 2023
Line 36:		Line 36:

	==Intervals==		==Intervals==
	The table of Obikhodic intervals below takes the fifth as the generator. Given the size of the fifth generator ''g'', any Obikhodic interval can easily be found by noting what multiple of ''g'' it is, and multiplying the size by the number ''k'' of generators it takes to reach the interval and reducing mod 1900<ref>For relative cents</ref> if necessary (so you can use "''k''''g'' % 1900" for search engines, for plugged-in values of ''k'' and ''g''). For example, since the major 3rd is reached by six fifth generators, [[27edt]]'s major 3rd is 6703.7 mod 1900 = 4222.22 mod 1900 = 422.22r¢.		The table of Obikhodic intervals below takes the fifth as the generator.
	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+
Line 1,527:		Line 1,527:
	\|sLLsLLLLsLL		\|sLLsLLLLsLL
	\|<nowiki>2\|8 b5</nowiki>		\|<nowiki>2\|8 b5</nowiki>
			\|
			\|(Great) Aeolian f2 f5, Phrygian f5 #9 (Theban f5)
			\|
			\|-
			\|sLLsLLsLLLL
			\|
	\|<nowiki>0\|10 #9</nowiki>		\|<nowiki>0\|10 #9</nowiki>
	\|~~(Great) Aeolian f2 f5, Phrygian f5 #9 (Theban f5)~~		\|
	\|(Great) Locrian #9		\|(Great) Locrian #9
	\|-		\|-

Moremajorthanmajor: /* Cyclic Permutation order */

2023-10-03T23:14:58Z

Cyclic Permutation order

Show changes

Moremajorthanmajor: /* Modes */

2023-10-02T23:14:53Z

Modes

Show changes

Moremajorthanmajor: /* Intervals */

2023-10-02T21:55:41Z

Intervals

← Older revision		Revision as of 21:55, 2 October 2023
Line 73:		Line 73:
	\|6L+2s		\|6L+2s
	\| -2		\| -2
	\|K~~(f)~~		\|K, Kf
	\|natural 4th		\|natural 4th
	\|2L+1s		\|2L+1s
Line 132:		Line 132:
	\|-		\|-
	\|9		\|9
	\|K(#)		\|K, K#
	\|augmented 4th		\|augmented 4th
	\|3L		\|3L

Moremajorthanmajor: /* Standing assumptions */

2023-10-02T21:40:54Z

Standing assumptions

← Older revision		Revision as of 21:40, 2 October 2023
Line 33:		Line 33:
	'''G''' G# Hf '''H''' H# Jf '''J''' J#/Kf '''K''' K# Lf '''L''' L# Af '''A''' A# ''Bf'' '''B''' B#/Cf '''C''' C# Df '''D''' D# Ef '''E''' E# ''Ff'' '''F''' F#/Gf		'''G''' G# Hf '''H''' H# Jf '''J''' J#/Kf '''K''' K# Lf '''L''' L# Af '''A''' A# ''Bf'' '''B''' B#/Cf '''C''' C# Df '''D''' D# Ef '''E''' E# ''Ff'' '''F''' F#/Gf

	'''G''' G# Hf '''H''' H# Jf '''J''' J#Kf '''K''' K#/Lf '''L''' L# Af '''A''' A# ''Bf'' '''B''' B#/Cf '''C''' C# Df '''D''' D# Ef '''E''' E# ''Ff'' '''F''' F#/Gf		'''G''' G# Hf '''H''' H# Jf '''J''' J# Kf '''K''' K#/Lf '''L''' L# Af '''A''' A# ''Bf'' '''B''' B#/Cf '''C''' C# Df '''D''' D# Ef '''E''' E# ''Ff'' '''F''' F#/Gf

	==Intervals==		==Intervals==

← Older revision		Revision as of 01:19, 14 October 2023
Line 1,444:		Line 1,444:
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
			\| style="text-align:center;" \|[[Modal UDP Notation\|'''UDP''']]
	\| style="text-align:center;" \|'''Mode'''		\| style="text-align:center;" \|'''Mode'''
	~~\| style="text-align:center;" \|[[Modal UDP Notation\|'''UDP''']]~~
	\| style="text-align:center;" \|'''Name'''		\| style="text-align:center;" \|'''Name'''
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>10\|0</nowiki>
	\|LLLsLLLsLLs		\|LLLsLLLsLLs
	~~\| style="text-align:center;" \|<nowiki>10\|0</nowiki>~~
	\|(Great) Lydian #8 (Tanagran)		\|(Great) Lydian #8 (Tanagran)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>9\|1</nowiki>
	\|LLLsLLsLLLs		\|LLLsLLsLLLs
	~~\| style="text-align:center;" \|<nowiki>9\|1</nowiki>~~
	\|(Great) Lydian		\|(Great) Lydian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>8\|2</nowiki>
	\|LLsLLLsLLLs		\|LLsLLLsLLLs
	~~\| style="text-align:center;" \|<nowiki>8\|2</nowiki>~~
	\|(Great) Lydian f4, Ionian #11 (Distomian)		\|(Great) Lydian f4, Ionian #11 (Distomian)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>7\|3</nowiki>
	\| \|LLsLLLsLLsL		\| \|LLsLLLsLLsL
	~~\| style="text-align:center;" \|<nowiki>7\|3</nowiki>~~
	\| \|(Great) Ionian		\| \|(Great) Ionian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>6\|4</nowiki>
	\| \|LLsLLsLLLsL		\| \|LLsLLsLLLsL
	~~\| style="text-align:center;" \|<nowiki>6\|4</nowiki>~~
	\| \|(Great) Mixolydian		\| \|(Great) Mixolydian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>5\|5</nowiki>
	\| \|LsLLLsLLLsL		\| \|LsLLLsLLLsL
	~~\| style="text-align:center;" \|<nowiki>5\|5</nowiki>~~
	\| \|(Great) Mixolydian f3, Dorian #10 (Livadeian)		\| \|(Great) Mixolydian f3, Dorian #10 (Livadeian)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>4\|6</nowiki>
	\| \|LsLLLsLLsLL		\| \|LsLLLsLLsLL
	~~\| style="text-align:center;" \|<nowiki>4\|6</nowiki>~~
	\| \|(Great) Dorian		\| \|(Great) Dorian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>3\|7</nowiki>
	\| \|LsLLsLLLsLL		\| \|LsLLsLLLsLL
	~~\| style="text-align:center;" \|<nowiki>3\|7</nowiki>~~
	\| \|(Great) Aeolian		\| \|(Great) Aeolian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>2\|8</nowiki>
	\| \|sLLLsLLLsLL		\| \|sLLLsLLLsLL
	~~\| style="text-align:center;" \|<nowiki>2\|8</nowiki>~~
	\| \|(Great) Aeolian f2, Phrygian #9 (Theban)		\| \|(Great) Aeolian f2, Phrygian #9 (Theban)
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>1\|9</nowiki>
	\| \|sLLLsLLsLLL		\| \|sLLLsLLsLLL
	~~\| style="text-align:center;" \|<nowiki>1\|9</nowiki>~~
	\| \|(Great) Phrygian		\| \|(Great) Phrygian
	\|-		\|-
			\| style="text-align:center;" \|<nowiki>0\|10</nowiki>
	\| \|sLLsLLLsLLL		\| \|sLLsLLLsLLL
	~~\| style="text-align:center;" \|<nowiki>0\|10</nowiki>~~
	\| \|(Great) Locrian		\| \|(Great) Locrian
	\|}		\|}