22L 5s
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Step pattern
LLLLLsLLLLsLLLLLsLLLLsLLLLs
sLLLLsLLLLsLLLLLsLLLLsLLLLL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
11\27 to 9\22 (488.9 ¢ to 490.9 ¢)
Dark
13\22 to 16\27 (709.1 ¢ to 711.1 ¢)
Descends from
5L 2s (diatonic)
Ancestor's step ratio range
4:1 to 5:1
Parent
5L 17s
Sister
5L 22s
Daughters
27L 22s, 22L 27s
Neutralized
17L 10s
2-Flought
49L 5s, 22L 32s
Equalized (L:s = 1:1)
11\27 (488.9 ¢)
Supersoft (L:s = 4:3)
42\103 (489.3 ¢)
Soft (L:s = 3:2)
31\76 (489.5 ¢)
Semisoft (L:s = 5:3)
51\125 (489.6 ¢)
Basic (L:s = 2:1)
20\49 (489.8 ¢)
Semihard (L:s = 5:2)
49\120 (490.0 ¢)
Hard (L:s = 3:1)
29\71 (490.1 ¢)
Superhard (L:s = 4:1)
38\93 (490.3 ¢)
Collapsed (L:s = 1:0)
9\22 (490.9 ¢)
| ↖ 21L 4s | ↑ 22L 4s | 23L 4s ↗ |
| ← 21L 5s | 22L 5s | 23L 5s → |
| ↙ 21L 6s | ↓ 22L 6s | 23L 6s ↘ |
┌╥╥╥╥╥┬╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐ │║║║║║│║║║║│║║║║║│║║║║│║║║║││ │││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLLLsLLLLsLLLLLsLLLLsLLLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
22L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 22 large steps and 5 small steps, repeating every octave. 22L 5s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 488.9 ¢ to 490.9 ¢, or from 709.1 ¢ to 711.1 ¢.
Scale properties
- This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-mosstep | Perfect 0-mosstep | P0ms | 0 | 0.0 ¢ |
| 1-mosstep | Minor 1-mosstep | m1ms | s | 0.0 ¢ to 44.4 ¢ |
| Major 1-mosstep | M1ms | L | 44.4 ¢ to 54.5 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 54.5 ¢ to 88.9 ¢ |
| Major 2-mosstep | M2ms | 2L | 88.9 ¢ to 109.1 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 109.1 ¢ to 133.3 ¢ |
| Major 3-mosstep | M3ms | 3L | 133.3 ¢ to 163.6 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 3L + s | 163.6 ¢ to 177.8 ¢ |
| Major 4-mosstep | M4ms | 4L | 177.8 ¢ to 218.2 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 4L + s | 218.2 ¢ to 222.2 ¢ |
| Major 5-mosstep | M5ms | 5L | 222.2 ¢ to 272.7 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 218.2 ¢ to 266.7 ¢ |
| Major 6-mosstep | M6ms | 5L + s | 266.7 ¢ to 272.7 ¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 5L + 2s | 272.7 ¢ to 311.1 ¢ |
| Major 7-mosstep | M7ms | 6L + s | 311.1 ¢ to 327.3 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 6L + 2s | 327.3 ¢ to 355.6 ¢ |
| Major 8-mosstep | M8ms | 7L + s | 355.6 ¢ to 381.8 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 7L + 2s | 381.8 ¢ to 400.0 ¢ |
| Major 9-mosstep | M9ms | 8L + s | 400.0 ¢ to 436.4 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 8L + 2s | 436.4 ¢ to 444.4 ¢ |
| Major 10-mosstep | M10ms | 9L + s | 444.4 ¢ to 490.9 ¢ | |
| 11-mosstep | Diminished 11-mosstep | d11ms | 8L + 3s | 436.4 ¢ to 488.9 ¢ |
| Perfect 11-mosstep | P11ms | 9L + 2s | 488.9 ¢ to 490.9 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 9L + 3s | 490.9 ¢ to 533.3 ¢ |
| Major 12-mosstep | M12ms | 10L + 2s | 533.3 ¢ to 545.5 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 10L + 3s | 545.5 ¢ to 577.8 ¢ |
| Major 13-mosstep | M13ms | 11L + 2s | 577.8 ¢ to 600.0 ¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 11L + 3s | 600.0 ¢ to 622.2 ¢ |
| Major 14-mosstep | M14ms | 12L + 2s | 622.2 ¢ to 654.5 ¢ | |
| 15-mosstep | Minor 15-mosstep | m15ms | 12L + 3s | 654.5 ¢ to 666.7 ¢ |
| Major 15-mosstep | M15ms | 13L + 2s | 666.7 ¢ to 709.1 ¢ | |
| 16-mosstep | Perfect 16-mosstep | P16ms | 13L + 3s | 709.1 ¢ to 711.1 ¢ |
| Augmented 16-mosstep | A16ms | 14L + 2s | 711.1 ¢ to 763.6 ¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 13L + 4s | 709.1 ¢ to 755.6 ¢ |
| Major 17-mosstep | M17ms | 14L + 3s | 755.6 ¢ to 763.6 ¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 14L + 4s | 763.6 ¢ to 800.0 ¢ |
| Major 18-mosstep | M18ms | 15L + 3s | 800.0 ¢ to 818.2 ¢ | |
| 19-mosstep | Minor 19-mosstep | m19ms | 15L + 4s | 818.2 ¢ to 844.4 ¢ |
| Major 19-mosstep | M19ms | 16L + 3s | 844.4 ¢ to 872.7 ¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 16L + 4s | 872.7 ¢ to 888.9 ¢ |
| Major 20-mosstep | M20ms | 17L + 3s | 888.9 ¢ to 927.3 ¢ | |
| 21-mosstep | Minor 21-mosstep | m21ms | 17L + 4s | 927.3 ¢ to 933.3 ¢ |
| Major 21-mosstep | M21ms | 18L + 3s | 933.3 ¢ to 981.8 ¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 17L + 5s | 927.3 ¢ to 977.8 ¢ |
| Major 22-mosstep | M22ms | 18L + 4s | 977.8 ¢ to 981.8 ¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 18L + 5s | 981.8 ¢ to 1022.2 ¢ |
| Major 23-mosstep | M23ms | 19L + 4s | 1022.2 ¢ to 1036.4 ¢ | |
| 24-mosstep | Minor 24-mosstep | m24ms | 19L + 5s | 1036.4 ¢ to 1066.7 ¢ |
| Major 24-mosstep | M24ms | 20L + 4s | 1066.7 ¢ to 1090.9 ¢ | |
| 25-mosstep | Minor 25-mosstep | m25ms | 20L + 5s | 1090.9 ¢ to 1111.1 ¢ |
| Major 25-mosstep | M25ms | 21L + 4s | 1111.1 ¢ to 1145.5 ¢ | |
| 26-mosstep | Minor 26-mosstep | m26ms | 21L + 5s | 1145.5 ¢ to 1155.6 ¢ |
| Major 26-mosstep | M26ms | 22L + 4s | 1155.6 ¢ to 1200.0 ¢ | |
| 27-mosstep | Perfect 27-mosstep | P27ms | 22L + 5s | 1200.0 ¢ |
Generator chain
| Bright gens | Scale degree | Abbrev. |
|---|---|---|
| 48 | Augmented 15-mosdegree | A15md |
| 47 | Augmented 4-mosdegree | A4md |
| 46 | Augmented 20-mosdegree | A20md |
| 45 | Augmented 9-mosdegree | A9md |
| 44 | Augmented 25-mosdegree | A25md |
| 43 | Augmented 14-mosdegree | A14md |
| 42 | Augmented 3-mosdegree | A3md |
| 41 | Augmented 19-mosdegree | A19md |
| 40 | Augmented 8-mosdegree | A8md |
| 39 | Augmented 24-mosdegree | A24md |
| 38 | Augmented 13-mosdegree | A13md |
| 37 | Augmented 2-mosdegree | A2md |
| 36 | Augmented 18-mosdegree | A18md |
| 35 | Augmented 7-mosdegree | A7md |
| 34 | Augmented 23-mosdegree | A23md |
| 33 | Augmented 12-mosdegree | A12md |
| 32 | Augmented 1-mosdegree | A1md |
| 31 | Augmented 17-mosdegree | A17md |
| 30 | Augmented 6-mosdegree | A6md |
| 29 | Augmented 22-mosdegree | A22md |
| 28 | Augmented 11-mosdegree | A11md |
| 27 | Augmented 0-mosdegree | A0md |
| 26 | Augmented 16-mosdegree | A16md |
| 25 | Major 5-mosdegree | M5md |
| 24 | Major 21-mosdegree | M21md |
| 23 | Major 10-mosdegree | M10md |
| 22 | Major 26-mosdegree | M26md |
| 21 | Major 15-mosdegree | M15md |
| 20 | Major 4-mosdegree | M4md |
| 19 | Major 20-mosdegree | M20md |
| 18 | Major 9-mosdegree | M9md |
| 17 | Major 25-mosdegree | M25md |
| 16 | Major 14-mosdegree | M14md |
| 15 | Major 3-mosdegree | M3md |
| 14 | Major 19-mosdegree | M19md |
| 13 | Major 8-mosdegree | M8md |
| 12 | Major 24-mosdegree | M24md |
| 11 | Major 13-mosdegree | M13md |
| 10 | Major 2-mosdegree | M2md |
| 9 | Major 18-mosdegree | M18md |
| 8 | Major 7-mosdegree | M7md |
| 7 | Major 23-mosdegree | M23md |
| 6 | Major 12-mosdegree | M12md |
| 5 | Major 1-mosdegree | M1md |
| 4 | Major 17-mosdegree | M17md |
| 3 | Major 6-mosdegree | M6md |
| 2 | Major 22-mosdegree | M22md |
| 1 | Perfect 11-mosdegree | P11md |
| 0 | Perfect 0-mosdegree Perfect 27-mosdegree |
P0md P27md |
| −1 | Perfect 16-mosdegree | P16md |
| −2 | Minor 5-mosdegree | m5md |
| −3 | Minor 21-mosdegree | m21md |
| −4 | Minor 10-mosdegree | m10md |
| −5 | Minor 26-mosdegree | m26md |
| −6 | Minor 15-mosdegree | m15md |
| −7 | Minor 4-mosdegree | m4md |
| −8 | Minor 20-mosdegree | m20md |
| −9 | Minor 9-mosdegree | m9md |
| −10 | Minor 25-mosdegree | m25md |
| −11 | Minor 14-mosdegree | m14md |
| −12 | Minor 3-mosdegree | m3md |
| −13 | Minor 19-mosdegree | m19md |
| −14 | Minor 8-mosdegree | m8md |
| −15 | Minor 24-mosdegree | m24md |
| −16 | Minor 13-mosdegree | m13md |
| −17 | Minor 2-mosdegree | m2md |
| −18 | Minor 18-mosdegree | m18md |
| −19 | Minor 7-mosdegree | m7md |
| −20 | Minor 23-mosdegree | m23md |
| −21 | Minor 12-mosdegree | m12md |
| −22 | Minor 1-mosdegree | m1md |
| −23 | Minor 17-mosdegree | m17md |
| −24 | Minor 6-mosdegree | m6md |
| −25 | Minor 22-mosdegree | m22md |
| −26 | Diminished 11-mosdegree | d11md |
| −27 | Diminished 27-mosdegree | d27md |
| −28 | Diminished 16-mosdegree | d16md |
| −29 | Diminished 5-mosdegree | d5md |
| −30 | Diminished 21-mosdegree | d21md |
| −31 | Diminished 10-mosdegree | d10md |
| −32 | Diminished 26-mosdegree | d26md |
| −33 | Diminished 15-mosdegree | d15md |
| −34 | Diminished 4-mosdegree | d4md |
| −35 | Diminished 20-mosdegree | d20md |
| −36 | Diminished 9-mosdegree | d9md |
| −37 | Diminished 25-mosdegree | d25md |
| −38 | Diminished 14-mosdegree | d14md |
| −39 | Diminished 3-mosdegree | d3md |
| −40 | Diminished 19-mosdegree | d19md |
| −41 | Diminished 8-mosdegree | d8md |
| −42 | Diminished 24-mosdegree | d24md |
| −43 | Diminished 13-mosdegree | d13md |
| −44 | Diminished 2-mosdegree | d2md |
| −45 | Diminished 18-mosdegree | d18md |
| −46 | Diminished 7-mosdegree | d7md |
| −47 | Diminished 23-mosdegree | d23md |
| −48 | Diminished 12-mosdegree | d12md |
Modes
| UDP | Cyclic order |
Step pattern |
Scale degree (mosdegree) | |||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | |||
| 26|0 | 1 | LLLLLsLLLLsLLLLLsLLLLsLLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 25|1 | 12 | LLLLLsLLLLsLLLLsLLLLLsLLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 24|2 | 23 | LLLLsLLLLLsLLLLsLLLLLsLLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 23|3 | 7 | LLLLsLLLLLsLLLLsLLLLsLLLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 22|4 | 18 | LLLLsLLLLsLLLLLsLLLLsLLLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 21|5 | 2 | LLLLsLLLLsLLLLLsLLLLsLLLLsL | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. |
| 20|6 | 13 | LLLLsLLLLsLLLLsLLLLLsLLLLsL | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. |
| 19|7 | 24 | LLLsLLLLLsLLLLsLLLLLsLLLLsL | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. |
| 18|8 | 8 | LLLsLLLLLsLLLLsLLLLsLLLLLsL | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. |
| 17|9 | 19 | LLLsLLLLsLLLLLsLLLLsLLLLLsL | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Perf. |
| 16|10 | 3 | LLLsLLLLsLLLLLsLLLLsLLLLsLL | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. |
| 15|11 | 14 | LLLsLLLLsLLLLsLLLLLsLLLLsLL | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. |
| 14|12 | 25 | LLsLLLLLsLLLLsLLLLLsLLLLsLL | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. |
| 13|13 | 9 | LLsLLLLLsLLLLsLLLLsLLLLLsLL | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. |
| 12|14 | 20 | LLsLLLLsLLLLLsLLLLsLLLLLsLL | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Maj. | Min. | Min. | Perf. |
| 11|15 | 4 | LLsLLLLsLLLLLsLLLLsLLLLsLLL | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. |
| 10|16 | 15 | LLsLLLLsLLLLsLLLLLsLLLLsLLL | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. |
| 9|17 | 26 | LsLLLLLsLLLLsLLLLLsLLLLsLLL | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Maj. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. |
| 8|18 | 10 | LsLLLLLsLLLLsLLLLsLLLLLsLLL | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. |
| 7|19 | 21 | LsLLLLsLLLLLsLLLLsLLLLLsLLL | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Maj. | Min. | Min. | Min. | Perf. |
| 6|20 | 5 | LsLLLLsLLLLLsLLLLsLLLLsLLLL | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
| 5|21 | 16 | LsLLLLsLLLLsLLLLLsLLLLsLLLL | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
| 4|22 | 27 | sLLLLLsLLLLsLLLLLsLLLLsLLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
| 3|23 | 11 | sLLLLLsLLLLsLLLLsLLLLLsLLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
| 2|24 | 22 | sLLLLsLLLLLsLLLLsLLLLLsLLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Perf. |
| 1|25 | 6 | sLLLLsLLLLLsLLLLsLLLLsLLLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
| 0|26 | 17 | sLLLLsLLLLsLLLLLsLLLLsLLLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Dim. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | |||||||
| 11\27 | 488.889 | 711.111 | 1:1 | 1.000 | Equalized 22L 5s | |||||
| 64\157 | 489.172 | 710.828 | 6:5 | 1.200 | ||||||
| 53\130 | 489.231 | 710.769 | 5:4 | 1.250 | ||||||
| 95\233 | 489.270 | 710.730 | 9:7 | 1.286 | ||||||
| 42\103 | 489.320 | 710.680 | 4:3 | 1.333 | Supersoft 22L 5s | |||||
| 115\282 | 489.362 | 710.638 | 11:8 | 1.375 | ||||||
| 73\179 | 489.385 | 710.615 | 7:5 | 1.400 | ||||||
| 104\255 | 489.412 | 710.588 | 10:7 | 1.429 | ||||||
| 31\76 | 489.474 | 710.526 | 3:2 | 1.500 | Soft 22L 5s | |||||
| 113\277 | 489.531 | 710.469 | 11:7 | 1.571 | ||||||
| 82\201 | 489.552 | 710.448 | 8:5 | 1.600 | ||||||
| 133\326 | 489.571 | 710.429 | 13:8 | 1.625 | ||||||
| 51\125 | 489.600 | 710.400 | 5:3 | 1.667 | Semisoft 22L 5s | |||||
| 122\299 | 489.632 | 710.368 | 12:7 | 1.714 | ||||||
| 71\174 | 489.655 | 710.345 | 7:4 | 1.750 | ||||||
| 91\223 | 489.686 | 710.314 | 9:5 | 1.800 | ||||||
| 20\49 | 489.796 | 710.204 | 2:1 | 2.000 | Basic 22L 5s Scales with tunings softer than this are proper | |||||
| 89\218 | 489.908 | 710.092 | 9:4 | 2.250 | ||||||
| 69\169 | 489.941 | 710.059 | 7:3 | 2.333 | ||||||
| 118\289 | 489.965 | 710.035 | 12:5 | 2.400 | ||||||
| 49\120 | 490.000 | 710.000 | 5:2 | 2.500 | Semihard 22L 5s | |||||
| 127\311 | 490.032 | 709.968 | 13:5 | 2.600 | ||||||
| 78\191 | 490.052 | 709.948 | 8:3 | 2.667 | ||||||
| 107\262 | 490.076 | 709.924 | 11:4 | 2.750 | ||||||
| 29\71 | 490.141 | 709.859 | 3:1 | 3.000 | Hard 22L 5s | |||||
| 96\235 | 490.213 | 709.787 | 10:3 | 3.333 | ||||||
| 67\164 | 490.244 | 709.756 | 7:2 | 3.500 | ||||||
| 105\257 | 490.272 | 709.728 | 11:3 | 3.667 | ||||||
| 38\93 | 490.323 | 709.677 | 4:1 | 4.000 | Superhard 22L 5s | |||||
| 85\208 | 490.385 | 709.615 | 9:2 | 4.500 | ||||||
| 47\115 | 490.435 | 709.565 | 5:1 | 5.000 | ||||||
| 56\137 | 490.511 | 709.489 | 6:1 | 6.000 | ||||||
| 9\22 | 490.909 | 709.091 | 1:0 | → ∞ | Collapsed 22L 5s | |||||
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