2L 7s

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2L 7s
Pattern LsssLssss
Period 2/1
Generator range 4\9 (533.3¢) to 1\2 (600.0¢)
Parent MOS 2L 5s
Daughter MOSes 9L 2s, 2L 9s
Sister MOS 7L 2s
TAMNAMS name joanatonic
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 joanatonic in TAMNAMS nomenclature, after joan temperament.

Intervals

Note: In TAMNAMS, a k-step interval class in joanatonic may be called a "k-step", "k-mosstep", or "k-jostep". 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.