6L 25s

↖ 5L 24s	↑ 6L 24s	7L 24s ↗
← 5L 25s	6L 25s	7L 25s →
↙ 5L 26s	↓ 6L 26s	7L 26s ↘

Scale structure
Step pattern	LssssLssssLssssLssssLssssLsssss sssssLssssLssssLssssLssssLssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	5\31 to 1\6 (193.5 ¢ to 200.0 ¢)
Dark	5\6 to 26\31 (1000.0 ¢ to 1006.5 ¢)
TAMNAMS information
Related to	6L 1s (archaeotonic)
With tunings	5:1 to 1:0
Related MOS scales
Parent	6L 19s
Sister	25L 6s
Daughters	31L 6s, 6L 31s
Neutralized	12L 19s
2-Flought	37L 25s, 6L 56s
Equal tunings
Equalized (L:s = 1:1)	5\31 (193.5 ¢)
Supersoft (L:s = 4:3)	16\99 (193.9 ¢)
Soft (L:s = 3:2)	11\68 (194.1 ¢)
Semisoft (L:s = 5:3)	17\105 (194.3 ¢)
Basic (L:s = 2:1)	6\37 (194.6 ¢)
Semihard (L:s = 5:2)	13\80 (195.0 ¢)
Hard (L:s = 3:1)	7\43 (195.3 ¢)
Superhard (L:s = 4:1)	8\49 (195.9 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)
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6L 25s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 25 small steps, repeating every octave. 6L 25s is related to 6L 1s, expanding it by 24 tones. Generators that produce this scale range from 193.5 ¢ to 200 ¢, or from 1000 ¢ to 1006.5 ¢.

Soft-of-basic tunings are associated with hemiwurschmidt temperament, being its 31-note MOS, while hyposoft and hypohard tunings are associated with sharp didacus extensions, namely roulette and mediantone.

Intervals

Intervals of 6L 25s

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 38.7 ¢
	Major 1-mosstep	M1ms	L	38.7 ¢ to 200.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 77.4 ¢
	Major 2-mosstep	M2ms	L + s	77.4 ¢ to 200.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 116.1 ¢
	Major 3-mosstep	M3ms	L + 2s	116.1 ¢ to 200.0 ¢
4-mosstep	Minor 4-mosstep	m4ms	4s	0.0 ¢ to 154.8 ¢
	Major 4-mosstep	M4ms	L + 3s	154.8 ¢ to 200.0 ¢
5-mosstep	Diminished 5-mosstep	d5ms	5s	0.0 ¢ to 193.5 ¢
	Perfect 5-mosstep	P5ms	L + 4s	193.5 ¢ to 200.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	200.0 ¢ to 232.3 ¢
	Major 6-mosstep	M6ms	2L + 4s	232.3 ¢ to 400.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	200.0 ¢ to 271.0 ¢
	Major 7-mosstep	M7ms	2L + 5s	271.0 ¢ to 400.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	L + 7s	200.0 ¢ to 309.7 ¢
	Major 8-mosstep	M8ms	2L + 6s	309.7 ¢ to 400.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	L + 8s	200.0 ¢ to 348.4 ¢
	Major 9-mosstep	M9ms	2L + 7s	348.4 ¢ to 400.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	L + 9s	200.0 ¢ to 387.1 ¢
	Major 10-mosstep	M10ms	2L + 8s	387.1 ¢ to 400.0 ¢
11-mosstep	Minor 11-mosstep	m11ms	2L + 9s	400.0 ¢ to 425.8 ¢
	Major 11-mosstep	M11ms	3L + 8s	425.8 ¢ to 600.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	2L + 10s	400.0 ¢ to 464.5 ¢
	Major 12-mosstep	M12ms	3L + 9s	464.5 ¢ to 600.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	2L + 11s	400.0 ¢ to 503.2 ¢
	Major 13-mosstep	M13ms	3L + 10s	503.2 ¢ to 600.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	2L + 12s	400.0 ¢ to 541.9 ¢
	Major 14-mosstep	M14ms	3L + 11s	541.9 ¢ to 600.0 ¢
15-mosstep	Minor 15-mosstep	m15ms	2L + 13s	400.0 ¢ to 580.6 ¢
	Major 15-mosstep	M15ms	3L + 12s	580.6 ¢ to 600.0 ¢
16-mosstep	Minor 16-mosstep	m16ms	3L + 13s	600.0 ¢ to 619.4 ¢
	Major 16-mosstep	M16ms	4L + 12s	619.4 ¢ to 800.0 ¢
17-mosstep	Minor 17-mosstep	m17ms	3L + 14s	600.0 ¢ to 658.1 ¢
	Major 17-mosstep	M17ms	4L + 13s	658.1 ¢ to 800.0 ¢
18-mosstep	Minor 18-mosstep	m18ms	3L + 15s	600.0 ¢ to 696.8 ¢
	Major 18-mosstep	M18ms	4L + 14s	696.8 ¢ to 800.0 ¢
19-mosstep	Minor 19-mosstep	m19ms	3L + 16s	600.0 ¢ to 735.5 ¢
	Major 19-mosstep	M19ms	4L + 15s	735.5 ¢ to 800.0 ¢
20-mosstep	Minor 20-mosstep	m20ms	3L + 17s	600.0 ¢ to 774.2 ¢
	Major 20-mosstep	M20ms	4L + 16s	774.2 ¢ to 800.0 ¢
21-mosstep	Minor 21-mosstep	m21ms	4L + 17s	800.0 ¢ to 812.9 ¢
	Major 21-mosstep	M21ms	5L + 16s	812.9 ¢ to 1000.0 ¢
22-mosstep	Minor 22-mosstep	m22ms	4L + 18s	800.0 ¢ to 851.6 ¢
	Major 22-mosstep	M22ms	5L + 17s	851.6 ¢ to 1000.0 ¢
23-mosstep	Minor 23-mosstep	m23ms	4L + 19s	800.0 ¢ to 890.3 ¢
	Major 23-mosstep	M23ms	5L + 18s	890.3 ¢ to 1000.0 ¢
24-mosstep	Minor 24-mosstep	m24ms	4L + 20s	800.0 ¢ to 929.0 ¢
	Major 24-mosstep	M24ms	5L + 19s	929.0 ¢ to 1000.0 ¢
25-mosstep	Minor 25-mosstep	m25ms	4L + 21s	800.0 ¢ to 967.7 ¢
	Major 25-mosstep	M25ms	5L + 20s	967.7 ¢ to 1000.0 ¢
26-mosstep	Perfect 26-mosstep	P26ms	5L + 21s	1000.0 ¢ to 1006.5 ¢
	Augmented 26-mosstep	A26ms	6L + 20s	1006.5 ¢ to 1200.0 ¢
27-mosstep	Minor 27-mosstep	m27ms	5L + 22s	1000.0 ¢ to 1045.2 ¢
	Major 27-mosstep	M27ms	6L + 21s	1045.2 ¢ to 1200.0 ¢
28-mosstep	Minor 28-mosstep	m28ms	5L + 23s	1000.0 ¢ to 1083.9 ¢
	Major 28-mosstep	M28ms	6L + 22s	1083.9 ¢ to 1200.0 ¢
29-mosstep	Minor 29-mosstep	m29ms	5L + 24s	1000.0 ¢ to 1122.6 ¢
	Major 29-mosstep	M29ms	6L + 23s	1122.6 ¢ to 1200.0 ¢
30-mosstep	Minor 30-mosstep	m30ms	5L + 25s	1000.0 ¢ to 1161.3 ¢
	Major 30-mosstep	M30ms	6L + 24s	1161.3 ¢ to 1200.0 ¢
31-mosstep	Perfect 31-mosstep	P31ms	6L + 25s	1200.0 ¢

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 6L 25s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
5\31						193.548	1006.452	1:1	1.000	Equalized 6L 25s
					26\161	193.789	1006.211	6:5	1.200
				21\130		193.846	1006.154	5:4	1.250
					37\229	193.886	1006.114	9:7	1.286
			16\99			193.939	1006.061	4:3	1.333	Supersoft 6L 25s
					43\266	193.985	1006.015	11:8	1.375
				27\167		194.012	1005.988	7:5	1.400
					38\235	194.043	1005.957	10:7	1.429
		11\68				194.118	1005.882	3:2	1.500	Soft 6L 25s
					39\241	194.191	1005.809	11:7	1.571
				28\173		194.220	1005.780	8:5	1.600
					45\278	194.245	1005.755	13:8	1.625
			17\105			194.286	1005.714	5:3	1.667	Semisoft 6L 25s
					40\247	194.332	1005.668	12:7	1.714
				23\142		194.366	1005.634	7:4	1.750
					29\179	194.413	1005.587	9:5	1.800
	6\37					194.595	1005.405	2:1	2.000	Basic 6L 25s Scales with tunings softer than this are proper
					25\154	194.805	1005.195	9:4	2.250
				19\117		194.872	1005.128	7:3	2.333
					32\197	194.924	1005.076	12:5	2.400
			13\80			195.000	1005.000	5:2	2.500	Semihard 6L 25s
					33\203	195.074	1004.926	13:5	2.600
				20\123		195.122	1004.878	8:3	2.667
					27\166	195.181	1004.819	11:4	2.750
		7\43				195.349	1004.651	3:1	3.000	Hard 6L 25s
					22\135	195.556	1004.444	10:3	3.333
				15\92		195.652	1004.348	7:2	3.500
					23\141	195.745	1004.255	11:3	3.667
			8\49			195.918	1004.082	4:1	4.000	Superhard 6L 25s
					17\104	196.154	1003.846	9:2	4.500
				9\55		196.364	1003.636	5:1	5.000
					10\61	196.721	1003.279	6:1	6.000
1\6						200.000	1000.000	1:0	→ ∞	Collapsed 6L 25s

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