2L 7s

↖ 1L 6s	↑ 2L 6s	3L 6s ↗
← 1L 7s	2L 7s	3L 7s →
↙ 1L 8s	↓ 2L 8s	3L 8s ↘

┌╥┬┬┬╥┬┬┬┬┐ │║│││║│││││ │││││││││││ └┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLssss ssssLsssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	4\9 to 1\2 (533.3 ¢ to 600.0 ¢)
Dark	1\2 to 5\9 (600.0 ¢ to 666.7 ¢)
TAMNAMS information
Name	balzano
Prefix	bal-
Abbrev.	bz
Related MOS scales
Parent	2L 5s
Sister	7L 2s
Daughters	9L 2s, 2L 9s
Neutralized	4L 5s
2-Flought	11L 7s, 2L 16s
Equal tunings
Equalized (L:s = 1:1)	4\9 (533.3 ¢)
Supersoft (L:s = 4:3)	13\29 (537.9 ¢)
Soft (L:s = 3:2)	9\20 (540.0 ¢)
Semisoft (L:s = 5:3)	14\31 (541.9 ¢)
Basic (L:s = 2:1)	5\11 (545.5 ¢)
Semihard (L:s = 5:2)	11\24 (550.0 ¢)
Hard (L:s = 3:1)	6\13 (553.8 ¢)
Superhard (L:s = 4:1)	7\15 (560.0 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)

2L 7s, named balzano in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 7 small steps, repeating every octave. Generators that produce this scale range from 533.3 ¢ to 600 ¢, or from 600 ¢ to 666.7 ¢.

Names

This scale is called balzano in TAMNAMS nomenclature.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

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

Scale tree

Scale tree and tuning spectrum of 2L 7s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
4\9						533.333	666.667	1:1	1.000	Equalized 2L 7s
					21\47	536.170	663.830	6:5	1.200
				17\38		536.842	663.158	5:4	1.250
					30\67	537.313	662.687	9:7	1.286
			13\29			537.931	662.069	4:3	1.333	Supersoft 2L 7s
					35\78	538.462	661.538	11:8	1.375
				22\49		538.776	661.224	7:5	1.400
					31\69	539.130	660.870	10:7	1.429
		9\20				540.000	660.000	3:2	1.500	Soft 2L 7s
					32\71	540.845	659.155	11:7	1.571
				23\51		541.176	658.824	8:5	1.600
					37\82	541.463	658.537	13:8	1.625
			14\31			541.935	658.065	5:3	1.667	Semisoft 2L 7s Casablanca
					33\73	542.466	657.534	12:7	1.714
				19\42		542.857	657.143	7:4	1.750
					24\53	543.396	656.604	9:5	1.800
	5\11					545.455	654.545	2:1	2.000	Basic 2L 7s Scales with tunings softer than this are proper
					21\46	547.826	652.174	9:4	2.250
				16\35		548.571	651.429	7:3	2.333
					27\59	549.153	650.847	12:5	2.400
			11\24			550.000	650.000	5:2	2.500	Semihard 2L 7s
					28\61	550.820	649.180	13:5	2.600
				17\37		551.351	648.649	8:3	2.667
					23\50	552.000	648.000	11:4	2.750
		6\13				553.846	646.154	3:1	3.000	Hard 2L 7s
					19\41	556.098	643.902	10:3	3.333
				13\28		557.143	642.857	7:2	3.500
					20\43	558.140	641.860	11:3	3.667	Thuja
			7\15			560.000	640.000	4:1	4.000	Superhard 2L 7s
					15\32	562.500	637.500	9:2	4.500
				8\17		564.706	635.294	5:1	5.000
					9\19	568.421	631.579	6:1	6.000
1\2						600.000	600.000	1:0	→ ∞	Collapsed 2L 7s