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

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

Degrees

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.

Intervals

Intervals of 1L 8s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-ablustep	Perfect 0-ablustep	P0ablus	0	0.0 ¢
1-ablustep	Perfect 1-ablustep	P1ablus	s	0.0 ¢ to 133.3 ¢
	Augmented 1-ablustep	A1ablus	L	133.3 ¢ to 1200.0 ¢
2-ablustep	Minor 2-ablustep	m2ablus	2s	0.0 ¢ to 266.7 ¢
	Major 2-ablustep	M2ablus	L + s	266.7 ¢ to 1200.0 ¢
3-ablustep	Minor 3-ablustep	m3ablus	3s	0.0 ¢ to 400.0 ¢
	Major 3-ablustep	M3ablus	L + 2s	400.0 ¢ to 1200.0 ¢
4-ablustep	Minor 4-ablustep	m4ablus	4s	0.0 ¢ to 533.3 ¢
	Major 4-ablustep	M4ablus	L + 3s	533.3 ¢ to 1200.0 ¢
5-ablustep	Minor 5-ablustep	m5ablus	5s	0.0 ¢ to 666.7 ¢
	Major 5-ablustep	M5ablus	L + 4s	666.7 ¢ to 1200.0 ¢
6-ablustep	Minor 6-ablustep	m6ablus	6s	0.0 ¢ to 800.0 ¢
	Major 6-ablustep	M6ablus	L + 5s	800.0 ¢ to 1200.0 ¢
7-ablustep	Minor 7-ablustep	m7ablus	7s	0.0 ¢ to 933.3 ¢
	Major 7-ablustep	M7ablus	L + 6s	933.3 ¢ to 1200.0 ¢
8-ablustep	Diminished 8-ablustep	d8ablus	8s	0.0 ¢ to 1066.7 ¢
	Perfect 8-ablustep	P8ablus	L + 7s	1066.7 ¢ to 1200.0 ¢
9-ablustep	Perfect 9-ablustep	P9ablus	L + 8s	1200.0 ¢

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