7L 9s

↖ 6L 8s	↑ 7L 8s	8L 8s ↗
← 6L 9s	7L 9s	8L 9s →
↙ 6L 10s	↓ 7L 10s	8L 10s ↘

┌╥┬╥┬╥┬╥┬┬╥┬╥┬╥┬┬┐ │║│║│║│║││║│║│║│││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLsLssLsLsLss ssLsLsLssLsLsLsL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	9\16 to 4\7 (675.0¢ to 685.7¢)
Dark	3\7 to 7\16 (514.3¢ to 525.0¢)
TAMNAMS information
Descends from	7L 2s (armotonic)
Ancestor's step ratio range	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	7L 2s
Sister	9L 7s
Daughters	16L 7s, 7L 16s
Neutralized	14L 2s
2-Flought	23L 9s, 7L 25s
Equal tunings
Equalized (L:s = 1:1)	9\16 (675.0¢)
Supersoft (L:s = 4:3)	31\55 (676.4¢)
Soft (L:s = 3:2)	22\39 (676.9¢)
Semisoft (L:s = 5:3)	35\62 (677.4¢)
Basic (L:s = 2:1)	13\23 (678.3¢)
Semihard (L:s = 5:2)	30\53 (679.2¢)
Hard (L:s = 3:1)	17\30 (680.0¢)
Superhard (L:s = 4:1)	21\37 (681.1¢)
Collapsed (L:s = 1:0)	4\7 (685.7¢)

7L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 9 small steps, repeating every octave. 7L 9s is a child scale of 7L 2s, expanding it by 7 tones. Generators that produce this scale range from 675¢ to 685.7¢, or from 514.3¢ to 525¢.

Most notable as the 16-tone Mavila scale. The entire range is suitable for mavila, but generators around 520 to 522 cents are perhaps "best".

Modes

Modes of 7L 9s

UDP	Cyclic order	Step pattern
15|0	1	LsLsLsLssLsLsLss
14|1	10	LsLsLssLsLsLsLss
13|2	3	LsLsLssLsLsLssLs
12|3	12	LsLssLsLsLsLssLs
11|4	5	LsLssLsLsLssLsLs
10|5	14	LssLsLsLsLssLsLs
9|6	7	LssLsLsLssLsLsLs
8|7	16	sLsLsLsLssLsLsLs
7|8	9	sLsLsLssLsLsLsLs
6|9	2	sLsLsLssLsLsLssL
5|10	11	sLsLssLsLsLsLssL
4|11	4	sLsLssLsLsLssLsL
3|12	13	sLssLsLsLsLssLsL
2|13	6	sLssLsLsLssLsLsL
1|14	15	ssLsLsLsLssLsLsL
0|15	8	ssLsLsLssLsLsLsL

Intervals

Intervals of 7L 9s

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 75.0¢
	Major 1-mosstep	M1ms	L	75.0¢ to 171.4¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 150.0¢
	Major 2-mosstep	M2ms	L + s	150.0¢ to 171.4¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	171.4¢ to 225.0¢
	Major 3-mosstep	M3ms	2L + s	225.0¢ to 342.9¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	171.4¢ to 300.0¢
	Major 4-mosstep	M4ms	2L + 2s	300.0¢ to 342.9¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	342.9¢ to 375.0¢
	Major 5-mosstep	M5ms	3L + 2s	375.0¢ to 514.3¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	342.9¢ to 450.0¢
	Major 6-mosstep	M6ms	3L + 3s	450.0¢ to 514.3¢
7-mosstep	Perfect 7-mosstep	P7ms	3L + 4s	514.3¢ to 525.0¢
	Augmented 7-mosstep	A7ms	4L + 3s	525.0¢ to 685.7¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	514.3¢ to 600.0¢
	Major 8-mosstep	M8ms	4L + 4s	600.0¢ to 685.7¢
9-mosstep	Diminished 9-mosstep	d9ms	3L + 6s	514.3¢ to 675.0¢
	Perfect 9-mosstep	P9ms	4L + 5s	675.0¢ to 685.7¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	685.7¢ to 750.0¢
	Major 10-mosstep	M10ms	5L + 5s	750.0¢ to 857.1¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	685.7¢ to 825.0¢
	Major 11-mosstep	M11ms	5L + 6s	825.0¢ to 857.1¢
12-mosstep	Minor 12-mosstep	m12ms	5L + 7s	857.1¢ to 900.0¢
	Major 12-mosstep	M12ms	6L + 6s	900.0¢ to 1028.6¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	857.1¢ to 975.0¢
	Major 13-mosstep	M13ms	6L + 7s	975.0¢ to 1028.6¢
14-mosstep	Minor 14-mosstep	m14ms	6L + 8s	1028.6¢ to 1050.0¢
	Major 14-mosstep	M14ms	7L + 7s	1050.0¢ to 1200.0¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	1028.6¢ to 1125.0¢
	Major 15-mosstep	M15ms	7L + 8s	1125.0¢ to 1200.0¢
16-mosstep	Perfect 16-mosstep	P16ms	7L + 9s	1200.0¢

Tuning spectrum

Todo: review Review entries from past page revision and enter them into the scale tree.

Scale Tree and Tuning Spectrum of 7L 9s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
9\16						675.000	525.000	1:1	1.000	Equalized 7L 9s
					49\87	675.862	524.138	6:5	1.200
				40\71		676.056	523.944	5:4	1.250
					71\126	676.190	523.810	9:7	1.286
			31\55			676.364	523.636	4:3	1.333	Supersoft 7L 9s
					84\149	676.510	523.490	11:8	1.375
				53\94		676.596	523.404	7:5	1.400
					75\133	676.692	523.308	10:7	1.429
		22\39				676.923	523.077	3:2	1.500	Soft 7L 9s
					79\140	677.143	522.857	11:7	1.571
				57\101		677.228	522.772	8:5	1.600
					92\163	677.301	522.699	13:8	1.625
			35\62			677.419	522.581	5:3	1.667	Semisoft 7L 9s
					83\147	677.551	522.449	12:7	1.714
				48\85		677.647	522.353	7:4	1.750
					61\108	677.778	522.222	9:5	1.800
	13\23					678.261	521.739	2:1	2.000	Basic 7L 9s Scales with tunings softer than this are proper
					56\99	678.788	521.212	9:4	2.250
				43\76		678.947	521.053	7:3	2.333
					73\129	679.070	520.930	12:5	2.400
			30\53			679.245	520.755	5:2	2.500	Semihard 7L 9s
					77\136	679.412	520.588	13:5	2.600
				47\83		679.518	520.482	8:3	2.667
					64\113	679.646	520.354	11:4	2.750
		17\30				680.000	520.000	3:1	3.000	Hard 7L 9s
					55\97	680.412	519.588	10:3	3.333
				38\67		680.597	519.403	7:2	3.500
					59\104	680.769	519.231	11:3	3.667
			21\37			681.081	518.919	4:1	4.000	Superhard 7L 9s
					46\81	681.481	518.519	9:2	4.500
				25\44		681.818	518.182	5:1	5.000
					29\51	682.353	517.647	6:1	6.000
4\7						685.714	514.286	1:0	→ ∞	Collapsed 7L 9s