25L 6s

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

┌╥╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐ │║║║║║│║║║║│║║║║│║║║║│║║║║│║║║║││ │││││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLsLLLLsLLLLsLLLLsLLLLsLLLLs sLLLLsLLLLsLLLLsLLLLsLLLLsLLLLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	26\31 to 21\25 (1006.5¢ to 1008.0¢)
Dark	4\25 to 5\31 (192.0¢ to 193.5¢)
TAMNAMS information
Descends from	6L 1s (archaeotonic)
Ancestor's step ratio range	4:1 to 5:1
Related MOS scales
Parent	6L 19s
Sister	6L 25s
Daughters	31L 25s, 25L 31s
Neutralized	19L 12s
2-Flought	56L 6s, 25L 37s
Equal tunings
Equalized (L:s = 1:1)	26\31 (1006.5¢)
Supersoft (L:s = 4:3)	99\118 (1006.8¢)
Soft (L:s = 3:2)	73\87 (1006.9¢)
Semisoft (L:s = 5:3)	120\143 (1007.0¢)
Basic (L:s = 2:1)	47\56 (1007.1¢)
Semihard (L:s = 5:2)	115\137 (1007.3¢)
Hard (L:s = 3:1)	68\81 (1007.4¢)
Superhard (L:s = 4:1)	89\106 (1007.5¢)
Collapsed (L:s = 1:0)	21\25 (1008.0¢)

25L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 25 large steps and 6 small steps, repeating every octave. 25L 6s is related to 6L 1s, expanding it by 24 tones. Generators that produce this scale range from 1006.5¢ to 1008¢, or from 192¢ to 193.5¢.

Intervals

Intervals of 25L 6s

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 48.0¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	48.0¢ to 77.4¢
	Major 2-mosstep	M2ms	2L	77.4¢ to 96.0¢
3-mosstep	Minor 3-mosstep	m3ms	2L + s	96.0¢ to 116.1¢
	Major 3-mosstep	M3ms	3L	116.1¢ to 144.0¢
4-mosstep	Minor 4-mosstep	m4ms	3L + s	144.0¢ to 154.8¢
	Major 4-mosstep	M4ms	4L	154.8¢ to 192.0¢
5-mosstep	Perfect 5-mosstep	P5ms	4L + s	192.0¢ to 193.5¢
	Augmented 5-mosstep	A5ms	5L	193.5¢ to 240.0¢
6-mosstep	Minor 6-mosstep	m6ms	4L + 2s	192.0¢ to 232.3¢
	Major 6-mosstep	M6ms	5L + s	232.3¢ to 240.0¢
7-mosstep	Minor 7-mosstep	m7ms	5L + 2s	240.0¢ to 271.0¢
	Major 7-mosstep	M7ms	6L + s	271.0¢ to 288.0¢
8-mosstep	Minor 8-mosstep	m8ms	6L + 2s	288.0¢ to 309.7¢
	Major 8-mosstep	M8ms	7L + s	309.7¢ to 336.0¢
9-mosstep	Minor 9-mosstep	m9ms	7L + 2s	336.0¢ to 348.4¢
	Major 9-mosstep	M9ms	8L + s	348.4¢ to 384.0¢
10-mosstep	Minor 10-mosstep	m10ms	8L + 2s	384.0¢ to 387.1¢
	Major 10-mosstep	M10ms	9L + s	387.1¢ to 432.0¢
11-mosstep	Minor 11-mosstep	m11ms	8L + 3s	384.0¢ to 425.8¢
	Major 11-mosstep	M11ms	9L + 2s	425.8¢ to 432.0¢
12-mosstep	Minor 12-mosstep	m12ms	9L + 3s	432.0¢ to 464.5¢
	Major 12-mosstep	M12ms	10L + 2s	464.5¢ to 480.0¢
13-mosstep	Minor 13-mosstep	m13ms	10L + 3s	480.0¢ to 503.2¢
	Major 13-mosstep	M13ms	11L + 2s	503.2¢ to 528.0¢
14-mosstep	Minor 14-mosstep	m14ms	11L + 3s	528.0¢ to 541.9¢
	Major 14-mosstep	M14ms	12L + 2s	541.9¢ to 576.0¢
15-mosstep	Minor 15-mosstep	m15ms	12L + 3s	576.0¢ to 580.6¢
	Major 15-mosstep	M15ms	13L + 2s	580.6¢ to 624.0¢
16-mosstep	Minor 16-mosstep	m16ms	12L + 4s	576.0¢ to 619.4¢
	Major 16-mosstep	M16ms	13L + 3s	619.4¢ to 624.0¢
17-mosstep	Minor 17-mosstep	m17ms	13L + 4s	624.0¢ to 658.1¢
	Major 17-mosstep	M17ms	14L + 3s	658.1¢ to 672.0¢
18-mosstep	Minor 18-mosstep	m18ms	14L + 4s	672.0¢ to 696.8¢
	Major 18-mosstep	M18ms	15L + 3s	696.8¢ to 720.0¢
19-mosstep	Minor 19-mosstep	m19ms	15L + 4s	720.0¢ to 735.5¢
	Major 19-mosstep	M19ms	16L + 3s	735.5¢ to 768.0¢
20-mosstep	Minor 20-mosstep	m20ms	16L + 4s	768.0¢ to 774.2¢
	Major 20-mosstep	M20ms	17L + 3s	774.2¢ to 816.0¢
21-mosstep	Minor 21-mosstep	m21ms	16L + 5s	768.0¢ to 812.9¢
	Major 21-mosstep	M21ms	17L + 4s	812.9¢ to 816.0¢
22-mosstep	Minor 22-mosstep	m22ms	17L + 5s	816.0¢ to 851.6¢
	Major 22-mosstep	M22ms	18L + 4s	851.6¢ to 864.0¢
23-mosstep	Minor 23-mosstep	m23ms	18L + 5s	864.0¢ to 890.3¢
	Major 23-mosstep	M23ms	19L + 4s	890.3¢ to 912.0¢
24-mosstep	Minor 24-mosstep	m24ms	19L + 5s	912.0¢ to 929.0¢
	Major 24-mosstep	M24ms	20L + 4s	929.0¢ to 960.0¢
25-mosstep	Minor 25-mosstep	m25ms	20L + 5s	960.0¢ to 967.7¢
	Major 25-mosstep	M25ms	21L + 4s	967.7¢ to 1008.0¢
26-mosstep	Diminished 26-mosstep	d26ms	20L + 6s	960.0¢ to 1006.5¢
	Perfect 26-mosstep	P26ms	21L + 5s	1006.5¢ to 1008.0¢
27-mosstep	Minor 27-mosstep	m27ms	21L + 6s	1008.0¢ to 1045.2¢
	Major 27-mosstep	M27ms	22L + 5s	1045.2¢ to 1056.0¢
28-mosstep	Minor 28-mosstep	m28ms	22L + 6s	1056.0¢ to 1083.9¢
	Major 28-mosstep	M28ms	23L + 5s	1083.9¢ to 1104.0¢
29-mosstep	Minor 29-mosstep	m29ms	23L + 6s	1104.0¢ to 1122.6¢
	Major 29-mosstep	M29ms	24L + 5s	1122.6¢ to 1152.0¢
30-mosstep	Minor 30-mosstep	m30ms	24L + 6s	1152.0¢ to 1161.3¢
	Major 30-mosstep	M30ms	25L + 5s	1161.3¢ to 1200.0¢
31-mosstep	Perfect 31-mosstep	P31ms	25L + 6s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 25L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
26\31						1006.452	193.548	1:1	1.000	Equalized 25L 6s
					151\180	1006.667	193.333	6:5	1.200
				125\149		1006.711	193.289	5:4	1.250
					224\267	1006.742	193.258	9:7	1.286
			99\118			1006.780	193.220	4:3	1.333	Supersoft 25L 6s
					271\323	1006.811	193.189	11:8	1.375
				172\205		1006.829	193.171	7:5	1.400
					245\292	1006.849	193.151	10:7	1.429
		73\87				1006.897	193.103	3:2	1.500	Soft 25L 6s
					266\317	1006.940	193.060	11:7	1.571
				193\230		1006.957	193.043	8:5	1.600
					313\373	1006.971	193.029	13:8	1.625
			120\143			1006.993	193.007	5:3	1.667	Semisoft 25L 6s
					287\342	1007.018	192.982	12:7	1.714
				167\199		1007.035	192.965	7:4	1.750
					214\255	1007.059	192.941	9:5	1.800
	47\56					1007.143	192.857	2:1	2.000	Basic 25L 6s Scales with tunings softer than this are proper
					209\249	1007.229	192.771	9:4	2.250
				162\193		1007.254	192.746	7:3	2.333
					277\330	1007.273	192.727	12:5	2.400
			115\137			1007.299	192.701	5:2	2.500	Semihard 25L 6s
					298\355	1007.324	192.676	13:5	2.600
				183\218		1007.339	192.661	8:3	2.667
					251\299	1007.358	192.642	11:4	2.750
		68\81				1007.407	192.593	3:1	3.000	Hard 25L 6s
					225\268	1007.463	192.537	10:3	3.333
				157\187		1007.487	192.513	7:2	3.500
					246\293	1007.509	192.491	11:3	3.667
			89\106			1007.547	192.453	4:1	4.000	Superhard 25L 6s
					199\237	1007.595	192.405	9:2	4.500
				110\131		1007.634	192.366	5:1	5.000
					131\156	1007.692	192.308	6:1	6.000
21\25						1008.000	192.000	1:0	→ ∞	Collapsed 25L 6s

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