1L 7s

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.

	↑ 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 ¢)
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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

Template:MOS data is deprecated. Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

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.