8L 14s

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

┌╥┬╥┬┬╥┬┬╥┬┬╥┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║││║│║││║││║│││ ││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLssLssLsLssLssLss ssLssLssLsLssLssLssLsL
Equave	2/1 (1200.0¢)
Period	1\2 (600.0¢)
Generator size
Bright	8\22 to 3\8 (436.4¢ to 450.0¢)
Dark	1\8 to 3\22 (150.0¢ to 163.6¢)
TAMNAMS information
Descends from	6L 2s (ekic)
Ancestor's step ratio range	1:1 to 3:2 (soft)
Related MOS scales
Parent	8L 6s
Sister	14L 8s
Daughters	22L 8s, 8L 22s
Neutralized	16L 6s
2-Flought	30L 14s, 8L 36s
Equal tunings
Equalized (L:s = 1:1)	8\22 (436.4¢)
Supersoft (L:s = 4:3)	27\74 (437.8¢)
Soft (L:s = 3:2)	19\52 (438.5¢)
Semisoft (L:s = 5:3)	30\82 (439.0¢)
Basic (L:s = 2:1)	11\30 (440.0¢)
Semihard (L:s = 5:2)	25\68 (441.2¢)
Hard (L:s = 3:1)	14\38 (442.1¢)
Superhard (L:s = 4:1)	17\46 (443.5¢)
Collapsed (L:s = 1:0)	3\8 (450.0¢)

8L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 14 small steps, with a period of 4 large steps and 7 small steps that repeats every 600.0¢, or twice every octave. 8L 14s is a grandchild scale of 6L 2s, expanding it by 14 tones. Generators that produce this scale range from 436.4¢ to 450¢, or from 150¢ to 163.6¢.

Modes

Modes of 8L 14s

UDP	Cyclic order	Step pattern
20|0(2)	1	LsLssLssLssLsLssLssLss
18|2(2)	9	LssLsLssLssLssLsLssLss
16|4(2)	6	LssLssLsLssLssLssLsLss
14|6(2)	3	LssLssLssLsLssLssLssLs
12|8(2)	11	sLsLssLssLssLsLssLssLs
10|10(2)	8	sLssLsLssLssLssLsLssLs
8|12(2)	5	sLssLssLsLssLssLssLsLs
6|14(2)	2	sLssLssLssLsLssLssLssL
4|16(2)	10	ssLsLssLssLssLsLssLssL
2|18(2)	7	ssLssLsLssLssLssLsLssL
0|20(2)	4	ssLssLssLsLssLssLssLsL

Intervals

Intervals of 8L 14s

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 150.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 109.1¢
	Major 2-mosstep	M2ms	L + s	109.1¢ to 150.0¢
3-mosstep	Perfect 3-mosstep	P3ms	L + 2s	150.0¢ to 163.6¢
	Augmented 3-mosstep	A3ms	2L + s	163.6¢ to 300.0¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	150.0¢ to 218.2¢
	Major 4-mosstep	M4ms	2L + 2s	218.2¢ to 300.0¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	150.0¢ to 272.7¢
	Major 5-mosstep	M5ms	2L + 3s	272.7¢ to 300.0¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	300.0¢ to 327.3¢
	Major 6-mosstep	M6ms	3L + 3s	327.3¢ to 450.0¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	300.0¢ to 381.8¢
	Major 7-mosstep	M7ms	3L + 4s	381.8¢ to 450.0¢
8-mosstep	Diminished 8-mosstep	d8ms	2L + 6s	300.0¢ to 436.4¢
	Perfect 8-mosstep	P8ms	3L + 5s	436.4¢ to 450.0¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	450.0¢ to 490.9¢
	Major 9-mosstep	M9ms	4L + 5s	490.9¢ to 600.0¢
10-mosstep	Minor 10-mosstep	m10ms	3L + 7s	450.0¢ to 545.5¢
	Major 10-mosstep	M10ms	4L + 6s	545.5¢ to 600.0¢
11-mosstep	Perfect 11-mosstep	P11ms	4L + 7s	600.0¢
12-mosstep	Minor 12-mosstep	m12ms	4L + 8s	600.0¢ to 654.5¢
	Major 12-mosstep	M12ms	5L + 7s	654.5¢ to 750.0¢
13-mosstep	Minor 13-mosstep	m13ms	4L + 9s	600.0¢ to 709.1¢
	Major 13-mosstep	M13ms	5L + 8s	709.1¢ to 750.0¢
14-mosstep	Perfect 14-mosstep	P14ms	5L + 9s	750.0¢ to 763.6¢
	Augmented 14-mosstep	A14ms	6L + 8s	763.6¢ to 900.0¢
15-mosstep	Minor 15-mosstep	m15ms	5L + 10s	750.0¢ to 818.2¢
	Major 15-mosstep	M15ms	6L + 9s	818.2¢ to 900.0¢
16-mosstep	Minor 16-mosstep	m16ms	5L + 11s	750.0¢ to 872.7¢
	Major 16-mosstep	M16ms	6L + 10s	872.7¢ to 900.0¢
17-mosstep	Minor 17-mosstep	m17ms	6L + 11s	900.0¢ to 927.3¢
	Major 17-mosstep	M17ms	7L + 10s	927.3¢ to 1050.0¢
18-mosstep	Minor 18-mosstep	m18ms	6L + 12s	900.0¢ to 981.8¢
	Major 18-mosstep	M18ms	7L + 11s	981.8¢ to 1050.0¢
19-mosstep	Diminished 19-mosstep	d19ms	6L + 13s	900.0¢ to 1036.4¢
	Perfect 19-mosstep	P19ms	7L + 12s	1036.4¢ to 1050.0¢
20-mosstep	Minor 20-mosstep	m20ms	7L + 13s	1050.0¢ to 1090.9¢
	Major 20-mosstep	M20ms	8L + 12s	1090.9¢ to 1200.0¢
21-mosstep	Minor 21-mosstep	m21ms	7L + 14s	1050.0¢ to 1145.5¢
	Major 21-mosstep	M21ms	8L + 13s	1145.5¢ to 1200.0¢
22-mosstep	Perfect 22-mosstep	P22ms	8L + 14s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 8L 14s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
8\22						436.364	163.636	1:1	1.000	Equalized 8L 14s
					43\118	437.288	162.712	6:5	1.200
				35\96		437.500	162.500	5:4	1.250
					62\170	437.647	162.353	9:7	1.286
			27\74			437.838	162.162	4:3	1.333	Supersoft 8L 14s
					73\200	438.000	162.000	11:8	1.375
				46\126		438.095	161.905	7:5	1.400
					65\178	438.202	161.798	10:7	1.429
		19\52				438.462	161.538	3:2	1.500	Soft 8L 14s
					68\186	438.710	161.290	11:7	1.571
				49\134		438.806	161.194	8:5	1.600
					79\216	438.889	161.111	13:8	1.625
			30\82			439.024	160.976	5:3	1.667	Semisoft 8L 14s
					71\194	439.175	160.825	12:7	1.714
				41\112		439.286	160.714	7:4	1.750
					52\142	439.437	160.563	9:5	1.800
	11\30					440.000	160.000	2:1	2.000	Basic 8L 14s Scales with tunings softer than this are proper
					47\128	440.625	159.375	9:4	2.250
				36\98		440.816	159.184	7:3	2.333
					61\166	440.964	159.036	12:5	2.400
			25\68			441.176	158.824	5:2	2.500	Semihard 8L 14s
					64\174	441.379	158.621	13:5	2.600
				39\106		441.509	158.491	8:3	2.667
					53\144	441.667	158.333	11:4	2.750
		14\38				442.105	157.895	3:1	3.000	Hard 8L 14s
					45\122	442.623	157.377	10:3	3.333
				31\84		442.857	157.143	7:2	3.500
					48\130	443.077	156.923	11:3	3.667
			17\46			443.478	156.522	4:1	4.000	Superhard 8L 14s
					37\100	444.000	156.000	9:2	4.500
				20\54		444.444	155.556	5:1	5.000
					23\62	445.161	154.839	6:1	6.000
3\8						450.000	150.000	1:0	→ ∞	Collapsed 8L 14s

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