2L 7s
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Brightest mode
LsssLssss
Period
2/1
Range for bright generator
4\9 (533.3¢) to 1\2 (600¢)
Range for dark generator
1\2 (600¢) to 5\9 (666.7¢)
TAMNAMS name
balzano
TAMNAMS prefix
bal-
Parent MOS
2L 5s
Sister MOS
7L 2s
Daughter MOSes
9L 2s, 2L 9s
Equal tunings
Supersoft (L:s = 4:3)
13\29 (537.9¢)
Soft (L:s = 3:2)
9\20 (540¢)
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¢)
Hard (L:s = 3:1)
6\13 (553.8¢)
Superhard (L:s = 4:1)
7\15 (560¢)
↖1L 6s | ↑2L 6s | 3L 6s↗ |
←1L 7s | 2L 7s | 3L 7s→ |
↙1L 8s | ↓2L 8s | 3L 8s↘ |
2L 7s, also called balzano, is a moment of symmetry scale consisting of 2 large steps and 7 small steps, repeating every octave. This scale is made using a generator ranging from 533.333¢ to 600¢, or from 600¢ to 666.667¢.
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.