7L 8s

↖ 6L 7s ↑ 7L 7s 8L 7s ↗

← 6L 8s 7L 8s 8L 8s →

↙ 6L 9s ↓ 7L 9s 8L 9s ↘
	Scale structure
Step pattern	LsLsLsLsLsLsLss; ssLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
	Generator size
Bright	2\15 to 1\7 (160.0 ¢ to 171.4 ¢)
Dark	6\7 to 13\15 (1028.6 ¢ to 1040.0 ¢)
	TAMNAMS information
Related to	7L 1s (pine)
With tunings	2:1 to 1:0 (hard-of-basic)
	Related MOS scales
Parent	7L 1s
Sister	8L 7s
Daughters	15L 7s, 7L 15s
Neutralized	14L 1s
2-Flought	22L 8s, 7L 23s
	Equal tunings
Equalized (L:s = 1:1)	2\15 (160.0 ¢)
Supersoft (L:s = 4:3)	7\52 (161.5 ¢)
Soft (L:s = 3:2)	5\37 (162.2 ¢)
Semisoft (L:s = 5:3)	8\59 (162.7 ¢)
Basic (L:s = 2:1)	3\22 (163.6 ¢)
Semihard (L:s = 5:2)	7\51 (164.7 ¢)
Hard (L:s = 3:1)	4\29 (165.5 ¢)
Superhard (L:s = 4:1)	5\36 (166.7 ¢)
Collapsed (L:s = 1:0)	1\7 (171.4 ¢)
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7L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 8 small steps, repeating every octave. 7L 8s is a child scale of 7L 1s, expanding it by 7 tones. Generators that produce this scale range from 160 ¢ to 171.4 ¢, or from 1028.6 ¢ to 1040 ¢.

It is notable for supporting Porcupine, of the porcupine family.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Scale tree

Todo: complete table

There was previously octachord info in the old scale tree, in the form of the step pattern LsLsLsL. Please add it to the new scale tree.

Scale tree and tuning spectrum of 7L 8s
Generator^(edo)							Cents		Step ratio		Comments
Generator^(edo)							Bright	Dark	L:s	Hardness	Comments
2\15							160.000	1040.000	1:1	1.000	Equalized 7L 8s
						13\97	160.825	1039.175	7:6	1.167
					11\82		160.976	1039.024	6:5	1.200
						20\149	161.074	1038.926	11:9	1.222
				9\67			161.194	1038.806	5:4	1.250
						25\186	161.290	1038.710	14:11	1.273
					16\119		161.345	1038.655	9:7	1.286
						23\171	161.404	1038.596	13:10	1.300
			7\52				161.538	1038.462	4:3	1.333	Supersoft 7L 8s
						26\193	161.658	1038.342	15:11	1.364
					19\141		161.702	1038.298	11:8	1.375
						31\230	161.739	1038.261	18:13	1.385
				12\89			161.798	1038.202	7:5	1.400
						29\215	161.860	1038.140	17:12	1.417
					17\126		161.905	1038.095	10:7	1.429
						22\163	161.963	1038.037	13:9	1.444
		5\37					162.162	1037.838	3:2	1.500	Soft 7L 8s Optimal rank range (L/s = 3/2) porcupine
						23\170	162.353	1037.647	14:9	1.556
					18\133		162.406	1037.594	11:7	1.571
						31\229	162.445	1037.555	19:12	1.583
				13\96			162.500	1037.500	8:5	1.600
						34\251	162.550	1037.450	21:13	1.615
					21\155		162.581	1037.419	13:8	1.625	Golden porcupine L/s = φ
						29\214	162.617	1037.383	18:11	1.636
			8\59				162.712	1037.288	5:3	1.667	Semisoft 7L 8s
						27\199	162.814	1037.186	17:10	1.700
					19\140		162.857	1037.143	12:7	1.714
						30\221	162.896	1037.104	19:11	1.727
				11\81			162.963	1037.037	7:4	1.750
						25\184	163.043	1036.957	16:9	1.778
					14\103		163.107	1036.893	9:5	1.800
						17\125	163.200	1036.800	11:6	1.833
	3\22						163.636	1036.364	2:1	2.000	Basic 7L 8s Scales with tunings softer than this are proper
						16\117	164.103	1035.897	11:5	2.200
					13\95		164.211	1035.789	9:4	2.250
						23\168	164.286	1035.714	16:7	2.286
				10\73			164.384	1035.616	7:3	2.333
						27\197	164.467	1035.533	19:8	2.375
					17\124		164.516	1035.484	12:5	2.400
						24\175	164.571	1035.429	17:7	2.429
			7\51				164.706	1035.294	5:2	2.500	Semihard 7L 8s
						25\182	164.835	1035.165	18:7	2.571
					18\131		164.885	1035.115	13:5	2.600
						29\211	164.929	1035.071	21:8	2.625
				11\80			165.000	1035.000	8:3	2.667
						26\189	165.079	1034.921	19:7	2.714
					15\109		165.138	1034.862	11:4	2.750
						19\138	165.217	1034.783	14:5	2.800
		4\29					165.517	1034.483	3:1	3.000	Hard 7L 8s
						17\123	165.854	1034.146	13:4	3.250
					13\94		165.957	1034.043	10:3	3.333
						22\159	166.038	1033.962	17:5	3.400
				9\65			166.154	1033.846	7:2	3.500
						23\166	166.265	1033.735	18:5	3.600
					14\101		166.337	1033.663	11:3	3.667
						19\137	166.423	1033.577	15:4	3.750
			5\36				166.667	1033.333	4:1	4.000	Superhard 7L 8s
						16\115	166.957	1033.043	13:3	4.333
					11\79		167.089	1032.911	9:2	4.500
						17\122	167.213	1032.787	14:3	4.667
				6\43			167.442	1032.558	5:1	5.000
						13\93	167.742	1032.258	11:2	5.500
					7\50		168.000	1032.000	6:1	6.000
						8\57	168.421	1031.579	7:1	7.000
1\7							171.429	1028.571	1:0	→ ∞	Collapsed 7L 8s

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