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.

Modes

Modes of 7L 8s

UDP	Cyclic order	Step pattern
14|0	1	LsLsLsLsLsLsLss
13|1	3	LsLsLsLsLsLssLs
12|2	5	LsLsLsLsLssLsLs
11|3	7	LsLsLsLssLsLsLs
10|4	9	LsLsLssLsLsLsLs
9|5	11	LsLssLsLsLsLsLs
8|6	13	LssLsLsLsLsLsLs
7|7	15	sLsLsLsLsLsLsLs
6|8	2	sLsLsLsLsLsLssL
5|9	4	sLsLsLsLsLssLsL
4|10	6	sLsLsLsLssLsLsL
3|11	8	sLsLsLssLsLsLsL
2|12	10	sLsLssLsLsLsLsL
1|13	12	sLssLsLsLsLsLsL
0|14	14	ssLsLsLsLsLsLsL

Intervals

Intervals of 7L 8s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0 ¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0 ¢ to 80.0 ¢
	Major 1-mosstep	M1ms	L	80.0 ¢ to 171.4 ¢
2-mosstep	Diminished 2-mosstep	d2ms	2s	0.0 ¢ to 160.0 ¢
	Perfect 2-mosstep	P2ms	L + s	160.0 ¢ to 171.4 ¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	171.4 ¢ to 240.0 ¢
	Major 3-mosstep	M3ms	2L + s	240.0 ¢ to 342.9 ¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	171.4 ¢ to 320.0 ¢
	Major 4-mosstep	M4ms	2L + 2s	320.0 ¢ to 342.9 ¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	342.9 ¢ to 400.0 ¢
	Major 5-mosstep	M5ms	3L + 2s	400.0 ¢ to 514.3 ¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	342.9 ¢ to 480.0 ¢
	Major 6-mosstep	M6ms	3L + 3s	480.0 ¢ to 514.3 ¢
7-mosstep	Minor 7-mosstep	m7ms	3L + 4s	514.3 ¢ to 560.0 ¢
	Major 7-mosstep	M7ms	4L + 3s	560.0 ¢ to 685.7 ¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	514.3 ¢ to 640.0 ¢
	Major 8-mosstep	M8ms	4L + 4s	640.0 ¢ to 685.7 ¢
9-mosstep	Minor 9-mosstep	m9ms	4L + 5s	685.7 ¢ to 720.0 ¢
	Major 9-mosstep	M9ms	5L + 4s	720.0 ¢ to 857.1 ¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	685.7 ¢ to 800.0 ¢
	Major 10-mosstep	M10ms	5L + 5s	800.0 ¢ to 857.1 ¢
11-mosstep	Minor 11-mosstep	m11ms	5L + 6s	857.1 ¢ to 880.0 ¢
	Major 11-mosstep	M11ms	6L + 5s	880.0 ¢ to 1028.6 ¢
12-mosstep	Minor 12-mosstep	m12ms	5L + 7s	857.1 ¢ to 960.0 ¢
	Major 12-mosstep	M12ms	6L + 6s	960.0 ¢ to 1028.6 ¢
13-mosstep	Perfect 13-mosstep	P13ms	6L + 7s	1028.6 ¢ to 1040.0 ¢
	Augmented 13-mosstep	A13ms	7L + 6s	1040.0 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	6L + 8s	1028.6 ¢ to 1120.0 ¢
	Major 14-mosstep	M14ms	7L + 7s	1120.0 ¢ to 1200.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	7L + 8s	1200.0 ¢

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.

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 7L 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
2\15						160.000	1040.000	1:1	1.000	Equalized 7L 8s
					11\82	160.976	1039.024	6:5	1.200
				9\67		161.194	1038.806	5:4	1.250
					16\119	161.345	1038.655	9:7	1.286
			7\52			161.538	1038.462	4:3	1.333	Supersoft 7L 8s
					19\141	161.702	1038.298	11:8	1.375
				12\89		161.798	1038.202	7:5	1.400
					17\126	161.905	1038.095	10:7	1.429
		5\37				162.162	1037.838	3:2	1.500	Soft 7L 8s
					18\133	162.406	1037.594	11:7	1.571
				13\96		162.500	1037.500	8:5	1.600
					21\155	162.581	1037.419	13:8	1.625
			8\59			162.712	1037.288	5:3	1.667	Semisoft 7L 8s
					19\140	162.857	1037.143	12:7	1.714
				11\81		162.963	1037.037	7:4	1.750
					14\103	163.107	1036.893	9:5	1.800
	3\22					163.636	1036.364	2:1	2.000	Basic 7L 8s Scales with tunings softer than this are proper
					13\95	164.211	1035.789	9:4	2.250
				10\73		164.384	1035.616	7:3	2.333
					17\124	164.516	1035.484	12:5	2.400
			7\51			164.706	1035.294	5:2	2.500	Semihard 7L 8s
					18\131	164.885	1035.115	13:5	2.600
				11\80		165.000	1035.000	8:3	2.667
					15\109	165.138	1034.862	11:4	2.750
		4\29				165.517	1034.483	3:1	3.000	Hard 7L 8s
					13\94	165.957	1034.043	10:3	3.333
				9\65		166.154	1033.846	7:2	3.500
					14\101	166.337	1033.663	11:3	3.667
			5\36			166.667	1033.333	4:1	4.000	Superhard 7L 8s
					11\79	167.089	1032.911	9:2	4.500
				6\43		167.442	1032.558	5:1	5.000
					7\50	168.000	1032.000	6:1	6.000
1\7						171.429	1028.571	1:0	→ ∞	Collapsed 7L 8s

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