1L 7s

	↑ 1L 6s	2L 6s ↗
	1L 7s	2L 7s →
	↓ 1L 8s	2L 8s ↘

┌╥┬┬┬┬┬┬┬┐ │║││││││││ ││││││││││ └┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lsssssss sssssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	7\8 to 1\1 (1050.0¢ to 1200.0¢)
Dark	0\1 to 1\8 (0.0¢ to 150.0¢)
TAMNAMS information
Name	antipine
Prefix	apine-
Abbrev.	ap
Related MOS scales
Parent	1L 6s
Sister	7L 1s
Daughters	8L 1s, 1L 8s
Neutralized	2L 6s
2-Flought	9L 7s, 1L 15s
Equal tunings
Equalized (L:s = 1:1)	7\8 (1050.0¢)
Supersoft (L:s = 4:3)	22\25 (1056.0¢)
Soft (L:s = 3:2)	15\17 (1058.8¢)
Semisoft (L:s = 5:3)	23\26 (1061.5¢)
Basic (L:s = 2:1)	8\9 (1066.7¢)
Semihard (L:s = 5:2)	17\19 (1073.7¢)
Hard (L:s = 3:1)	9\10 (1080.0¢)
Superhard (L:s = 4:1)	10\11 (1090.9¢)
Collapsed (L:s = 1:0)	1\1 (1200.0¢)

1L 7s, named antipine in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 7 small steps, repeating every octave. Generators that produce this scale range from 1050¢ to 1200¢, or from 0¢ to 150¢. This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, bleu. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.

Name

TAMNAMS suggests the temperament-agnostic name antipine as the name of 1L 7s. The name is based on being the opposite pattern of 7L 1s (pine).

Scale properties

Intervals

The intervals of 1L 7s are named after the number of mossteps (L and s) they subtend. Each interval, apart from the root and octave (perfect 0-apinestep and perfect 8-apinestep), has two varieties, or sizes, each. Interval varieties are named major and minor for the large and small sizes, respectively, and augmented, perfect, and diminished for the scale's generators.

Intervals of 1L 7s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-apinestep	Perfect 0-apinestep	P0aps	0	0.0¢
1-apinestep	Perfect 1-apinestep	P1aps	s	0.0¢ to 150.0¢
	Augmented 1-apinestep	A1aps	L	150.0¢ to 1200.0¢
2-apinestep	Minor 2-apinestep	m2aps	2s	0.0¢ to 300.0¢
	Major 2-apinestep	M2aps	L + s	300.0¢ to 1200.0¢
3-apinestep	Minor 3-apinestep	m3aps	3s	0.0¢ to 450.0¢
	Major 3-apinestep	M3aps	L + 2s	450.0¢ to 1200.0¢
4-apinestep	Minor 4-apinestep	m4aps	4s	0.0¢ to 600.0¢
	Major 4-apinestep	M4aps	L + 3s	600.0¢ to 1200.0¢
5-apinestep	Minor 5-apinestep	m5aps	5s	0.0¢ to 750.0¢
	Major 5-apinestep	M5aps	L + 4s	750.0¢ to 1200.0¢
6-apinestep	Minor 6-apinestep	m6aps	6s	0.0¢ to 900.0¢
	Major 6-apinestep	M6aps	L + 5s	900.0¢ to 1200.0¢
7-apinestep	Diminished 7-apinestep	d7aps	7s	0.0¢ to 1050.0¢
	Perfect 7-apinestep	P7aps	L + 6s	1050.0¢ to 1200.0¢
8-apinestep	Perfect 8-apinestep	P8aps	L + 7s	1200.0¢

Generator chain

A chain of bright generators, each a perfect 7-apinestep, produces the following scale degrees. A chain of 8 bright generators contains the scale degrees of one of the modes of 1L 7s. Expanding the chain to 9 scale degrees produces the modes of either 8L 1s (for soft-of-basic tunings) or 1L 8s (for hard-of-basic tunings).

Generator chain of 1L 7s

Bright gens	Scale Degree	Abbrev.
8	Augmented 0-apinedegree	A0apd
7	Augmented 1-apinedegree	A1apd
6	Major 2-apinedegree	M2apd
5	Major 3-apinedegree	M3apd
4	Major 4-apinedegree	M4apd
3	Major 5-apinedegree	M5apd
2	Major 6-apinedegree	M6apd
1	Perfect 7-apinedegree	P7apd
0	Perfect 0-apinedegree Perfect 8-apinedegree	P0apd P8apd
-1	Perfect 1-apinedegree	P1apd
-2	Minor 2-apinedegree	m2apd
-3	Minor 3-apinedegree	m3apd
-4	Minor 4-apinedegree	m4apd
-5	Minor 5-apinedegree	m5apd
-6	Minor 6-apinedegree	m6apd
-7	Diminished 7-apinedegree	d7apd
-8	Diminished 8-apinedegree	d8apd

Modes

Scale degrees of the modes of 1L 7s 

UDP	Cyclic Order	Step Pattern	Scale Degree (apinedegree)
			0	1	2	3	4	5	6	7	8
7|0	1	Lsssssss	Perf.	Aug.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
6|1	8	sLssssss	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
5|2	7	ssLsssss	Perf.	Perf.	Min.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
4|3	6	sssLssss	Perf.	Perf.	Min.	Min.	Maj.	Maj.	Maj.	Perf.	Perf.
3|4	5	ssssLsss	Perf.	Perf.	Min.	Min.	Min.	Maj.	Maj.	Perf.	Perf.
2|5	4	sssssLss	Perf.	Perf.	Min.	Min.	Min.	Min.	Maj.	Perf.	Perf.
1|6	3	ssssssLs	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Perf.	Perf.
0|7	2	sssssssL	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Dim.	Perf.

Scale tree

Generator ranges:

• Chroma-positive generator: 1050 cents (7\8) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 150 cents (1\8)

Small step (chroma-negative generator)						Cents	L	s	L/s	Comments
1\8						150.000	1	1	1.000
					5\41	146.341	6	5	1.200	Bohpier
				4\33		145.455	5	4	1.250
					7\58	144.828	9	7	1.286
			3\25			144.000	4	3	1.333
					8\67	143.284	11	8	1.375
				5\42		142.857	7	5	1.400
					7\59	142.373	10	7	1.429
		2\17				141.176	3	2	1.500
					7\60	140.000	11	7	1.571	Bleu
				5\43		139.535	8	5	1.600	Jerome/bleu
					8\69	139.130	13	8	1.625	Golden jerome (139.2429¢)
			3\26			138.462	5	3	1.667
					7\61	137.705	12	7	1.714
				4\35		137.143	7	4	1.750
					5\44	136.364	9	5	1.800	Twothirdtonic
	1\9					133.333	2	1	2.000	Basic 1L 7s (small steps larger than this are proper)
					4\37	129.730	9	4	2.250
				3\28		128.571	7	3	2.333
					5\47	127.660	12	5	2.400
			2\19			126.316	5	2	2.500	Negri
					5\48	125.000	13	5	2.600	Golden negri (124.7656¢)
				3\29		124.138	8	3	2.667
					4\39	123.077	11	4	2.750
		1\10				120.000	3	1	3.000
					3\31	116.129	10	3	3.333	Miracle
				2\21		114.286	7	2	3.500
					3\32	112.500	11	3	3.667
			1\11			109.091	4	1	4.000
					2\23	104.348	9	2	4.500
				1\12		100.000	5	1	5.000	Passion, ripple
					1\13	92.308	6	1	6.000
0\1						0.000	1	0	→ inf

Trivia

This scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years. Curiously enough, one short step of this scale is close to the one step of Bohlen-Pierce.