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.

Intervals

Intervals of 2L 7s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-balstep	Perfect 0-balstep	P0bzs	0	0.0 ¢
1-balstep	Minor 1-balstep	m1bzs	s	0.0 ¢ to 133.3 ¢
	Major 1-balstep	M1bzs	L	133.3 ¢ to 600.0 ¢
2-balstep	Minor 2-balstep	m2bzs	2s	0.0 ¢ to 266.7 ¢
	Major 2-balstep	M2bzs	L + s	266.7 ¢ to 600.0 ¢
3-balstep	Minor 3-balstep	m3bzs	3s	0.0 ¢ to 400.0 ¢
	Major 3-balstep	M3bzs	L + 2s	400.0 ¢ to 600.0 ¢
4-balstep	Diminished 4-balstep	d4bzs	4s	0.0 ¢ to 533.3 ¢
	Perfect 4-balstep	P4bzs	L + 3s	533.3 ¢ to 600.0 ¢
5-balstep	Perfect 5-balstep	P5bzs	L + 4s	600.0 ¢ to 666.7 ¢
	Augmented 5-balstep	A5bzs	2L + 3s	666.7 ¢ to 1200.0 ¢
6-balstep	Minor 6-balstep	m6bzs	L + 5s	600.0 ¢ to 800.0 ¢
	Major 6-balstep	M6bzs	2L + 4s	800.0 ¢ to 1200.0 ¢
7-balstep	Minor 7-balstep	m7bzs	L + 6s	600.0 ¢ to 933.3 ¢
	Major 7-balstep	M7bzs	2L + 5s	933.3 ¢ to 1200.0 ¢
8-balstep	Minor 8-balstep	m8bzs	L + 7s	600.0 ¢ to 1066.7 ¢
	Major 8-balstep	M8bzs	2L + 6s	1066.7 ¢ to 1200.0 ¢
9-balstep	Perfect 9-balstep	P9bzs	2L + 7s	1200.0 ¢

Modes

Scale degrees of the modes of 2L 7s

UDP	Cyclic order	Step pattern	Scale degree (baldegree)
			0	1	2	3	4	5	6	7	8	9
8|0	1	LsssLssss	Perf.	Maj.	Maj.	Maj.	Perf.	Aug.	Maj.	Maj.	Maj.	Perf.
7|1	5	LssssLsss	Perf.	Maj.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.
6|2	9	sLsssLsss	Perf.	Min.	Maj.	Maj.	Perf.	Perf.	Maj.	Maj.	Maj.	Perf.
5|3	4	sLssssLss	Perf.	Min.	Maj.	Maj.	Perf.	Perf.	Min.	Maj.	Maj.	Perf.
4|4	8	ssLsssLss	Perf.	Min.	Min.	Maj.	Perf.	Perf.	Min.	Maj.	Maj.	Perf.
3|5	3	ssLssssLs	Perf.	Min.	Min.	Maj.	Perf.	Perf.	Min.	Min.	Maj.	Perf.
2|6	7	sssLsssLs	Perf.	Min.	Min.	Min.	Perf.	Perf.	Min.	Min.	Maj.	Perf.
1|7	2	sssLssssL	Perf.	Min.	Min.	Min.	Perf.	Perf.	Min.	Min.	Min.	Perf.
0|8	6	ssssLsssL	Perf.	Min.	Min.	Min.	Dim.	Perf.	Min.	Min.	Min.	Perf.