14L 8s

↖ 13L 7s	↑ 14L 7s	15L 7s ↗
← 13L 8s	14L 8s	15L 8s →
↙ 13L 9s	↓ 14L 9s	15L 9s ↘

┌╥╥┬╥╥┬╥╥┬╥┬╥╥┬╥╥┬╥╥┬╥┬┐ │║║│║║│║║│║│║║│║║│║║│║││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLLsLLsLsLLsLLsLLsLs sLsLLsLLsLLsLsLLsLLsLL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	3\22 to 2\14 (163.6¢ to 171.4¢)
Dark	5\14 to 8\22 (428.6¢ to 436.4¢)
TAMNAMS information
Descends from	6L 2s (ekic)
Ancestor's step ratio range	3:2 to 2:1 (hyposoft)
Related MOS scales
Parent	8L 6s
Sister	8L 14s
Daughters	22L 14s, 14L 22s
Neutralized	6L 16s
2-Flought	36L 8s, 14L 30s
Equal tunings
Equalized (L:s = 1:1)	3\22 (163.6¢)
Supersoft (L:s = 4:3)	11\80 (165.0¢)
Soft (L:s = 3:2)	8\58 (165.5¢)
Semisoft (L:s = 5:3)	13\94 (166.0¢)
Basic (L:s = 2:1)	5\36 (166.7¢)
Semihard (L:s = 5:2)	12\86 (167.4¢)
Hard (L:s = 3:1)	7\50 (168.0¢)
Superhard (L:s = 4:1)	9\64 (168.8¢)
Collapsed (L:s = 1:0)	2\14 (171.4¢)

14L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 14 large steps and 8 small steps, with a period of 7 large steps and 4 small steps that repeats every 600.0¢, or twice every octave. 14L 8s is a grandchild scale of 6L 2s, expanding it by 14 tones. Generators that produce this scale range from 163.6¢ to 171.4¢, or from 428.6¢ to 436.4¢.

The most notable harmonic entropy minima for this MOS is echidna.

Modes

Modes of 14L 8s

UDP	Cyclic order	Step pattern
20|0(2)	1	LLsLLsLLsLsLLsLLsLLsLs
18|2(2)	4	LLsLLsLsLLsLLsLLsLsLLs
16|4(2)	7	LLsLsLLsLLsLLsLsLLsLLs
14|6(2)	10	LsLLsLLsLLsLsLLsLLsLLs
12|8(2)	2	LsLLsLLsLsLLsLLsLLsLsL
10|10(2)	5	LsLLsLsLLsLLsLLsLsLLsL
8|12(2)	8	LsLsLLsLLsLLsLsLLsLLsL
6|14(2)	11	sLLsLLsLLsLsLLsLLsLLsL
4|16(2)	3	sLLsLLsLsLLsLLsLLsLsLL
2|18(2)	6	sLLsLsLLsLLsLLsLsLLsLL
0|20(2)	9	sLsLLsLLsLLsLsLLsLLsLL

Intervals

Intervals of 14L 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 54.5¢
	Major 1-mosstep	M1ms	L	54.5¢ to 85.7¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	85.7¢ to 109.1¢
	Major 2-mosstep	M2ms	2L	109.1¢ to 171.4¢
3-mosstep	Diminished 3-mosstep	d3ms	L + 2s	85.7¢ to 163.6¢
	Perfect 3-mosstep	P3ms	2L + s	163.6¢ to 171.4¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	171.4¢ to 218.2¢
	Major 4-mosstep	M4ms	3L + s	218.2¢ to 257.1¢
5-mosstep	Minor 5-mosstep	m5ms	3L + 2s	257.1¢ to 272.7¢
	Major 5-mosstep	M5ms	4L + s	272.7¢ to 342.9¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	257.1¢ to 327.3¢
	Major 6-mosstep	M6ms	4L + 2s	327.3¢ to 342.9¢
7-mosstep	Minor 7-mosstep	m7ms	4L + 3s	342.9¢ to 381.8¢
	Major 7-mosstep	M7ms	5L + 2s	381.8¢ to 428.6¢
8-mosstep	Perfect 8-mosstep	P8ms	5L + 3s	428.6¢ to 436.4¢
	Augmented 8-mosstep	A8ms	6L + 2s	436.4¢ to 514.3¢
9-mosstep	Minor 9-mosstep	m9ms	5L + 4s	428.6¢ to 490.9¢
	Major 9-mosstep	M9ms	6L + 3s	490.9¢ to 514.3¢
10-mosstep	Minor 10-mosstep	m10ms	6L + 4s	514.3¢ to 545.5¢
	Major 10-mosstep	M10ms	7L + 3s	545.5¢ to 600.0¢
11-mosstep	Perfect 11-mosstep	P11ms	7L + 4s	600.0¢
12-mosstep	Minor 12-mosstep	m12ms	7L + 5s	600.0¢ to 654.5¢
	Major 12-mosstep	M12ms	8L + 4s	654.5¢ to 685.7¢
13-mosstep	Minor 13-mosstep	m13ms	8L + 5s	685.7¢ to 709.1¢
	Major 13-mosstep	M13ms	9L + 4s	709.1¢ to 771.4¢
14-mosstep	Diminished 14-mosstep	d14ms	8L + 6s	685.7¢ to 763.6¢
	Perfect 14-mosstep	P14ms	9L + 5s	763.6¢ to 771.4¢
15-mosstep	Minor 15-mosstep	m15ms	9L + 6s	771.4¢ to 818.2¢
	Major 15-mosstep	M15ms	10L + 5s	818.2¢ to 857.1¢
16-mosstep	Minor 16-mosstep	m16ms	10L + 6s	857.1¢ to 872.7¢
	Major 16-mosstep	M16ms	11L + 5s	872.7¢ to 942.9¢
17-mosstep	Minor 17-mosstep	m17ms	10L + 7s	857.1¢ to 927.3¢
	Major 17-mosstep	M17ms	11L + 6s	927.3¢ to 942.9¢
18-mosstep	Minor 18-mosstep	m18ms	11L + 7s	942.9¢ to 981.8¢
	Major 18-mosstep	M18ms	12L + 6s	981.8¢ to 1028.6¢
19-mosstep	Perfect 19-mosstep	P19ms	12L + 7s	1028.6¢ to 1036.4¢
	Augmented 19-mosstep	A19ms	13L + 6s	1036.4¢ to 1114.3¢
20-mosstep	Minor 20-mosstep	m20ms	12L + 8s	1028.6¢ to 1090.9¢
	Major 20-mosstep	M20ms	13L + 7s	1090.9¢ to 1114.3¢
21-mosstep	Minor 21-mosstep	m21ms	13L + 8s	1114.3¢ to 1145.5¢
	Major 21-mosstep	M21ms	14L + 7s	1145.5¢ to 1200.0¢
22-mosstep	Perfect 22-mosstep	P22ms	14L + 8s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 14L 8s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\22						163.636	436.364	1:1	1.000	Equalized 14L 8s
					17\124	164.516	435.484	6:5	1.200
				14\102		164.706	435.294	5:4	1.250
					25\182	164.835	435.165	9:7	1.286
			11\80			165.000	435.000	4:3	1.333	Supersoft 14L 8s
					30\218	165.138	434.862	11:8	1.375
				19\138		165.217	434.783	7:5	1.400
					27\196	165.306	434.694	10:7	1.429
		8\58				165.517	434.483	3:2	1.500	Soft 14L 8s
					29\210	165.714	434.286	11:7	1.571
				21\152		165.789	434.211	8:5	1.600
					34\246	165.854	434.146	13:8	1.625
			13\94			165.957	434.043	5:3	1.667	Semisoft 14L 8s
					31\224	166.071	433.929	12:7	1.714
				18\130		166.154	433.846	7:4	1.750
					23\166	166.265	433.735	9:5	1.800
	5\36					166.667	433.333	2:1	2.000	Basic 14L 8s Scales with tunings softer than this are proper
					22\158	167.089	432.911	9:4	2.250
				17\122		167.213	432.787	7:3	2.333
					29\208	167.308	432.692	12:5	2.400
			12\86			167.442	432.558	5:2	2.500	Semihard 14L 8s
					31\222	167.568	432.432	13:5	2.600
				19\136		167.647	432.353	8:3	2.667
					26\186	167.742	432.258	11:4	2.750
		7\50				168.000	432.000	3:1	3.000	Hard 14L 8s
					23\164	168.293	431.707	10:3	3.333
				16\114		168.421	431.579	7:2	3.500
					25\178	168.539	431.461	11:3	3.667
			9\64			168.750	431.250	4:1	4.000	Superhard 14L 8s
					20\142	169.014	430.986	9:2	4.500
				11\78		169.231	430.769	5:1	5.000
					13\92	169.565	430.435	6:1	6.000
2\14						171.429	428.571	1:0	→ ∞	Collapsed 14L 8s

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