User:Moremajorthanmajor/7L 4s (diminished twelfth-equivalent)

7L 4s<diminished twelfth> has a generator of a narrow wolf to wide wolf fourth of 458.18 ¢ (3/11ed7/5) to [[1]] ¢ (2/7ed11/7). Insofar as it may be said to be a Reformed mode, it is an authentic Locrian mode.

Scale tree

Generator							Cents		L	s	L/s	Comments
							g	3L
3\11							514¢17’9”	514¢17’9”	1	1	1.000
					17\62		510	540	6	5	1.200
				14\51			509.09	545.45	5	4	1.250
					25\91		508¢28’28”	549¢9’9”	9	7	1.286
			11\40				507¢41’32”	553¢50’46”	4	3	1.333
					30\109		507¢2’32”	557¢44’47”	11	8	1.375
				19\69			506.6	560	7	5	1.400
					27\98		506.25	562.5	10	7	1.428
		8\29					505¢15’47”	568¢25’16”	3	2	1.500	L/s = 3/2
					29\105		504¢20’52”	573¢54’47”	11	7	1.571
				21\76			504	576	8	5	1.600
					34\123		503.703	577.7	13	8	1.625	Unnamed golden tuning
			13\47				503¢13’33”	580¢38’43”	5	3	1.667
					31\112		502.702	583.783	12	7	1.714
				18\65			502¢19’32”	586¢2’47”	7	4	1.750
					23\83		501.81	589.09	9	5	1.800
						28\101	501¢29’35”	591¢3’23”	11	6	1.833
	5\18						500	600	2	1	2.000
						27\97	498¢47’43”	609¢13’51”	11	5	2.200
					22\79		498¢6’48”	611¢19’15”	9	4	2.250
				17\61			497¢33’40”	614¢38’3”	7	3	2.333
					29\104		497¢8’34”	617¢8’34”	12	5	2.400
			12\43				496¢33’6”	620¢41’23”	5	2	2.500
					31\111		496	624	13	5	2.600	Unnamed golden tuning
				19\68			495¢39’8”	626¢5’13”	8	3	2.667
					26\93		495¢14’17”	628¢34’17”	11	4	2.750
		7\25					494¢7’4”	635¢17’39”	3	1	3.000	L/s = 3/1
						30\107	493¢9’2”	641¢5’45”	13	4	3.250
					23\82		492¢51’26”	642¢51’26”	10	3	3.333
				16\57			492¢18’28”	646¢50’46”	7	2	3.500
					25\89		491¢48’12”	649¢10’49”	11	3	3.667
			9\32				490.90	654.54	4	1	4.000
					20\71		489¢47’45”	661¢13’28”	9	2	4.500
				11\39			488.8	666.6	5	1	5.000
					13\46		487.5	675	6	1	6.000
2\7							480	720	1	0	→ inf

See also

7L 4s (11/4-equivalent) - idealized low tuning, low undecimal tuning

7L 4s (14/5-equivalent) - low septimal tuning

7L 4s (20/7-equivalent) - idealized high tuning, high septimal tuning

7L 4s (32/11-equivalent) - high undecimal tuning