2L 7s

2L 7s

	Brightest mode	LsssLssss
	Period	2/1
	Range for bright generator	4\9 (533.3¢) to 1\2 (600.0¢)
	Range for dark generator	1\2 (600.0¢) to 5\9 (666.7¢)
	Parent MOS	2L 5s
	Daughter MOSes	9L 2s, 2L 9s
	Sister MOS	7L 2s
	TAMNAMS name	balzano
	Equal tunings
	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¢)

2L 7s is a MOS pattern with generators ranging from 533.33 cents (9edo) to 600 cents (2edo).

Names

This scale is called balzano in TAMNAMS nomenclature.

Intervals

Note: In TAMNAMS, a k-step interval class in balzano may be called a "k-step", "k-mosstep", or "k-balstep" (/bæl-/). 1-indexed terms such as "mos(k+1)th" are discouraged for non-diatonic mosses.

Modes

• 8|0 LsssLssss
• 7|1 LssssLsss
• 6|2 sLsssLsss
• 5|3 sLssssLss
• 4|4 ssLsssLss
• 3|5 ssLssssLs
• 2|6 sssLsssLs
• 1|7 sssLssssL
• 0|8 ssssLsssL

Scale tree

Generator ranges:

• Chroma-positive generator: 533.3333 cents (4\9) to 600 cents (1\2)
• Chroma-negative generator: 600 cents (1\2) to 666.6667 cents (5\9)

Generator					Generator	L	s	Comments
4\9					533.33	133.33	133.33
				17\39	536.84	157.895	126.32
			13\29		537.93	165.52	124.14
		9\20			540	180	120
					540.84	185.86	118.325
				23\51	541.18	188.235	117.65
					541.38	189.69	117.23
			14\31		541.935	193.55	116.13	Casablanca is around here.
					542.66	198.63	114.68
	5\11				545.45	218.18	109.09
			11\24		550	250	100
					550.965	256.75	98.07
				17\37	551.35	259.46	97.3
					551.755	262.29	96.49	L/s = e
		6\13			553.85	276.92	92.31	L/s = 3
					554.83	283.81	90.34	L/s = pi
				13\28	557.14	300	85.14	Thuja is around here.
			7\15		560	320	80	L/s = 4
				8\17	564.71	352.94	70.59
1\2					600	600	0

Around L = 300¢ and s = 85¢, thuja appears, which is a complex temperament whose generator represents 11/8.