1L 8s

	↑ 1L 7s	2L 7s ↗
	1L 8s	2L 8s →
	↓ 1L 9s	2L 9s ↘

┌╥┬┬┬┬┬┬┬┬┐ │║│││││││││ │││││││││││ └┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lssssssss ssssssssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\9 to 1\1 (1066.7 ¢ to 1200.0 ¢)
Dark	0\1 to 1\9 (0.0 ¢ to 133.3 ¢)
TAMNAMS information
Name	antisubneutralic
Prefix	ablu-
Abbrev.	ablu
Related MOS scales
Parent	1L 7s
Sister	8L 1s
Daughters	9L 1s, 1L 9s
Neutralized	2L 7s
2-Flought	10L 8s, 1L 17s
Equal tunings
Equalized (L:s = 1:1)	8\9 (1066.7 ¢)
Supersoft (L:s = 4:3)	25\28 (1071.4 ¢)
Soft (L:s = 3:2)	17\19 (1073.7 ¢)
Semisoft (L:s = 5:3)	26\29 (1075.9 ¢)
Basic (L:s = 2:1)	9\10 (1080.0 ¢)
Semihard (L:s = 5:2)	19\21 (1085.7 ¢)
Hard (L:s = 3:1)	10\11 (1090.9 ¢)
Superhard (L:s = 4:1)	11\12 (1100.0 ¢)
Collapsed (L:s = 1:0)	1\1 (1200.0 ¢)

1L 8s, named antisubneutralic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 8 small steps, repeating every octave. Generators that produce this scale range from 1066.7 ¢ to 1200 ¢, or from 0 ¢ to 133.3 ¢. This MOS represents temperaments like Miracle and Negri. Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3\28 (around 14/13).

Modes

Scale degrees of the modes of 1L 8s

UDP	Cyclic order	Step pattern	Scale degree (abludegree)
			0	1	2	3	4	5	6	7	8	9
8|0	1	Lssssssss	Perf.	Aug.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
7|1	9	sLsssssss	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
6|2	8	ssLssssss	Perf.	Perf.	Min.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
5|3	7	sssLsssss	Perf.	Perf.	Min.	Min.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
4|4	6	ssssLssss	Perf.	Perf.	Min.	Min.	Min.	Maj.	Maj.	Maj.	Perf.	Perf.
3|5	5	sssssLsss	Perf.	Perf.	Min.	Min.	Min.	Min.	Maj.	Maj.	Perf.	Perf.
2|6	4	ssssssLss	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Maj.	Perf.	Perf.
1|7	3	sssssssLs	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Perf.
0|8	2	ssssssssL	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Dim.	Perf.

Proposed Names

These names are from Modes of Negri-9.

Modes of 1L 8s

UDP	Cyclic order	Step pattern
8|0	1	Lssssssss
7|1	9	sLsssssss
6|2	8	ssLssssss
5|3	7	sssLsssss
4|4	6	ssssLssss
3|5	5	sssssLsss
2|6	4	ssssssLss
1|7	3	sssssssLs
0|8	2	ssssssssL

Scale tree

Generator ranges:

• Chroma-positive generator: 1066.6667 cents (8\9) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 133.3333 cents (1\9)

Small step (chroma-negative generator)						Cents	L	s	L/s	Comments
1\9						133.333	1	1	1.000
					5\46	130.435	6	5	1.200
				4\37		129.730	5	4	1.250
					7\65	129.231	9	7	1.286
			3\28			128.571	4	3	1.333
					8\75	128.000	11	8	1.375
				5\47		127.660	7	5	1.400
					7\66	127.273	10	7	1.429
		2\19				126.316	3	2	1.500	Negri
					7\67	125.373	11	7	1.571
				5\48		125.000	8	5	1.600
					8\77	124.675	13	8	1.625	Golden negri (124.7656¢)
			3\29			124.138	5	3	1.667
					7\68	123.529	12	7	1.714
				4\39		123.077	7	4	1.750
					5\49	122.449	9	5	1.800
	1\10					120.000	2	1	2.000	Basic 1L 8s (small steps larger than this are proper)
					4\41	117.073	9	4	2.250	Miracle
				3\31		116.129	7	3	2.333	Miracle/revelation
					5\52	115.385	12	5	2.400
			2\21			114.286	5	2	2.500
					5\53	113.208	13	5	2.600	Golden misneb (113.0153¢)
				3\32		112.500	8	3	2.667
					4\43	111.628	11	4	2.750
		1\11				109.091	3	1	3.000
					3\34	105.882	10	3	3.333
				2\23		104.348	7	2	3.500
					3\35	102.857	11	3	3.667
			1\12			100.000	4	1	4.000	Ripple
					2\25	96.000	9	2	4.500	Passion
				1\13		92.308	5	1	5.000
					1\14	85.714	6	1	6.000
0\1						0.000	1	0	→ inf