2L 7s

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↖1L 6s↑2L 6s 3L 6s↗
←1L 7s2L 7s3L 7s→
↙1L 8s↓2L 8s 3L 8s↘
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¢)

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.