The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.

↖ 2L 1s ↑ 3L 1s 4L 1s ↗
← 2L 2s 3L 2s 4L 2s →
↙ 2L 3s ↓ 3L 3s 4L 3s ↘
Scale structure
Step pattern LLsLs
sLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\5 to 2\3 (720.0 ¢ to 800.0 ¢)
Dark 1\3 to 2\5 (400.0 ¢ to 480.0 ¢)
Related MOS scales
Parent 2L 1s
Sister 2L 3s
Daughters 5L 3s, 3L 5s
Neutralized 1L 4s
2-Flought 8L 2s, 3L 7s
Equal tunings
Equalized (L:s = 1:1) 3\5 (720.0 ¢)
Supersoft (L:s = 4:3) 11\18 (733.3 ¢)
Soft (L:s = 3:2) 8\13 (738.5 ¢)
Semisoft (L:s = 5:3) 13\21 (742.9 ¢)
Basic (L:s = 2:1) 5\8 (750.0 ¢)
Semihard (L:s = 5:2) 12\19 (757.9 ¢)
Hard (L:s = 3:1) 7\11 (763.6 ¢)
Superhard (L:s = 4:1) 9\14 (771.4 ¢)
Collapsed (L:s = 1:0) 2\3 (800.0 ¢)
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Names

The TAMNAMS system suggests the name antipentic, in opposition to pentic used for 2L 3s.

Modes

  • 4|0 LLsLs
  • 3|1 LsLLs
  • 2|2 LsLsL
  • 1|3 sLLsL
  • 0|4 sLsLL

Scale tree

Generator ranges:

  • Chroma-positive generator: 720 cents (3\5) to 800 cents (2\3)
  • Chroma-negative generator: 400 cents (1\3) to 480 cents (2\5)
Generator Cents s L-s Comments
1\3 400 0 400
8\23 417.39 52.18 365.21 8ed(14/11) is near here
7\20 420 60 300
6\17 423.53 70.59 282.35 Skwares is around here
17\48 425 75 275 Squares is around here
11\31 425.81 77.42 270.97
5\14 428.57 85.71 257.14 L/s = 4
435.01 105.035 224.91 L/s = pi, essentially perfect 9/7
4\11 436.36 109.09 218.18 L/s = 3
439.39 118.17 203.05 L/s = e
11/30 440 120 200
440.59 121.78 197.04
7/19 442.11 126.32 189.47 Sensi is around here
3\8 450 150 150 Boundary of propriety (larger

generators than this are proper)

455.59 166.76 122.07
8\21 457.14 171.43 114.29
21\55 458.18 174.55 109.09
1200/(1+phi) 175.08 108.20 Golden petrtri
13\34 458.82 176.47 105.88
459.59 178.77 102.04
5\13 461.54 184.62 92.31 Optimum rank range (L/s=3/2) oneirotonic[5]
7\18 466.67 200 66.67
9\23 469.57 208.70 52.17
11\28 471.43 214.29 42.86
13\33 472.73 218.18 36.36 Slendro-like scales in this region
2\5 480 240 0