19L 7s
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Step pattern
LLLsLLLsLLLsLLsLLLsLLLsLLs
sLLsLLLsLLLsLLsLLLsLLLsLLL
Equave
2/1 (1200.0 ¢)
Period
2/1 (1200.0 ¢)
Bright
15\26 to 11\19 (692.3 ¢ to 694.7 ¢)
Dark
8\19 to 11\26 (505.3 ¢ to 507.7 ¢)
Related to
5L 2s (diatonic)
With tunings
4:3 to 3:2 (parasoft)
Parent
7L 12s
Sister
7L 19s
Daughters
26L 19s, 19L 26s
Neutralized
12L 14s
2-Flought
45L 7s, 19L 33s
Equalized (L:s = 1:1)
15\26 (692.3 ¢)
Supersoft (L:s = 4:3)
56\97 (692.8 ¢)
Soft (L:s = 3:2)
41\71 (693.0 ¢)
Semisoft (L:s = 5:3)
67\116 (693.1 ¢)
Basic (L:s = 2:1)
26\45 (693.3 ¢)
Semihard (L:s = 5:2)
63\109 (693.6 ¢)
Hard (L:s = 3:1)
37\64 (693.8 ¢)
Superhard (L:s = 4:1)
48\83 (694.0 ¢)
Collapsed (L:s = 1:0)
11\19 (694.7 ¢)
| ↖ 18L 6s | ↑ 19L 6s | 20L 6s ↗ |
| ← 18L 7s | 19L 7s | 20L 7s → |
| ↙ 18L 8s | ↓ 19L 8s | 20L 8s ↘ |
┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐ │║║║│║║║│║║║│║║│║║║│║║║│║║││ ││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLLsLLLsLLLsLLsLLLsLLLsLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
19L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 7 small steps, repeating every octave. 19L 7s is a great-grandchild scale of 5L 2s, expanding it by 19 tones. Generators that produce this scale range from 692.3 ¢ to 694.7 ¢, or from 505.3 ¢ to 507.7 ¢.
Temperaments associated with this scale include flattone, whose generator is treated as 3/2, and marfifths, whose generator is treated as 75/56 (marvelous 4th).
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 46.2 ¢ |
| Major 1-mosstep | M1ms | L | 46.2 ¢ to 63.2 ¢ | |
| 2-mosstep | Minor 2-mosstep | m2ms | L + s | 63.2 ¢ to 92.3 ¢ |
| Major 2-mosstep | M2ms | 2L | 92.3 ¢ to 126.3 ¢ | |
| 3-mosstep | Minor 3-mosstep | m3ms | 2L + s | 126.3 ¢ to 138.5 ¢ |
| Major 3-mosstep | M3ms | 3L | 138.5 ¢ to 189.5 ¢ | |
| 4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 126.3 ¢ to 184.6 ¢ |
| Major 4-mosstep | M4ms | 3L + s | 184.6 ¢ to 189.5 ¢ | |
| 5-mosstep | Minor 5-mosstep | m5ms | 3L + 2s | 189.5 ¢ to 230.8 ¢ |
| Major 5-mosstep | M5ms | 4L + s | 230.8 ¢ to 252.6 ¢ | |
| 6-mosstep | Minor 6-mosstep | m6ms | 4L + 2s | 252.6 ¢ to 276.9 ¢ |
| Major 6-mosstep | M6ms | 5L + s | 276.9 ¢ to 315.8 ¢ | |
| 7-mosstep | Minor 7-mosstep | m7ms | 5L + 2s | 315.8 ¢ to 323.1 ¢ |
| Major 7-mosstep | M7ms | 6L + s | 323.1 ¢ to 378.9 ¢ | |
| 8-mosstep | Minor 8-mosstep | m8ms | 5L + 3s | 315.8 ¢ to 369.2 ¢ |
| Major 8-mosstep | M8ms | 6L + 2s | 369.2 ¢ to 378.9 ¢ | |
| 9-mosstep | Minor 9-mosstep | m9ms | 6L + 3s | 378.9 ¢ to 415.4 ¢ |
| Major 9-mosstep | M9ms | 7L + 2s | 415.4 ¢ to 442.1 ¢ | |
| 10-mosstep | Minor 10-mosstep | m10ms | 7L + 3s | 442.1 ¢ to 461.5 ¢ |
| Major 10-mosstep | M10ms | 8L + 2s | 461.5 ¢ to 505.3 ¢ | |
| 11-mosstep | Perfect 11-mosstep | P11ms | 8L + 3s | 505.3 ¢ to 507.7 ¢ |
| Augmented 11-mosstep | A11ms | 9L + 2s | 507.7 ¢ to 568.4 ¢ | |
| 12-mosstep | Minor 12-mosstep | m12ms | 8L + 4s | 505.3 ¢ to 553.8 ¢ |
| Major 12-mosstep | M12ms | 9L + 3s | 553.8 ¢ to 568.4 ¢ | |
| 13-mosstep | Minor 13-mosstep | m13ms | 9L + 4s | 568.4 ¢ to 600.0 ¢ |
| Major 13-mosstep | M13ms | 10L + 3s | 600.0 ¢ to 631.6 ¢ | |
| 14-mosstep | Minor 14-mosstep | m14ms | 10L + 4s | 631.6 ¢ to 646.2 ¢ |
| Major 14-mosstep | M14ms | 11L + 3s | 646.2 ¢ to 694.7 ¢ | |
| 15-mosstep | Diminished 15-mosstep | d15ms | 10L + 5s | 631.6 ¢ to 692.3 ¢ |
| Perfect 15-mosstep | P15ms | 11L + 4s | 692.3 ¢ to 694.7 ¢ | |
| 16-mosstep | Minor 16-mosstep | m16ms | 11L + 5s | 694.7 ¢ to 738.5 ¢ |
| Major 16-mosstep | M16ms | 12L + 4s | 738.5 ¢ to 757.9 ¢ | |
| 17-mosstep | Minor 17-mosstep | m17ms | 12L + 5s | 757.9 ¢ to 784.6 ¢ |
| Major 17-mosstep | M17ms | 13L + 4s | 784.6 ¢ to 821.1 ¢ | |
| 18-mosstep | Minor 18-mosstep | m18ms | 13L + 5s | 821.1 ¢ to 830.8 ¢ |
| Major 18-mosstep | M18ms | 14L + 4s | 830.8 ¢ to 884.2 ¢ | |
| 19-mosstep | Minor 19-mosstep | m19ms | 13L + 6s | 821.1 ¢ to 876.9 ¢ |
| Major 19-mosstep | M19ms | 14L + 5s | 876.9 ¢ to 884.2 ¢ | |
| 20-mosstep | Minor 20-mosstep | m20ms | 14L + 6s | 884.2 ¢ to 923.1 ¢ |
| Major 20-mosstep | M20ms | 15L + 5s | 923.1 ¢ to 947.4 ¢ | |
| 21-mosstep | Minor 21-mosstep | m21ms | 15L + 6s | 947.4 ¢ to 969.2 ¢ |
| Major 21-mosstep | M21ms | 16L + 5s | 969.2 ¢ to 1010.5 ¢ | |
| 22-mosstep | Minor 22-mosstep | m22ms | 16L + 6s | 1010.5 ¢ to 1015.4 ¢ |
| Major 22-mosstep | M22ms | 17L + 5s | 1015.4 ¢ to 1073.7 ¢ | |
| 23-mosstep | Minor 23-mosstep | m23ms | 16L + 7s | 1010.5 ¢ to 1061.5 ¢ |
| Major 23-mosstep | M23ms | 17L + 6s | 1061.5 ¢ to 1073.7 ¢ | |
| 24-mosstep | Minor 24-mosstep | m24ms | 17L + 7s | 1073.7 ¢ to 1107.7 ¢ |
| Major 24-mosstep | M24ms | 18L + 6s | 1107.7 ¢ to 1136.8 ¢ | |
| 25-mosstep | Minor 25-mosstep | m25ms | 18L + 7s | 1136.8 ¢ to 1153.8 ¢ |
| Major 25-mosstep | M25ms | 19L + 6s | 1153.8 ¢ to 1200.0 ¢ | |
| 26-mosstep | Perfect 26-mosstep | P26ms | 19L + 7s | 1200.0 ¢ |
Generator chain
| Bright gens | Scale degree | Abbrev. |
|---|---|---|
| 44 | Augmented 10-mosdegree | A10md |
| 43 | Augmented 21-mosdegree | A21md |
| 42 | Augmented 6-mosdegree | A6md |
| 41 | Augmented 17-mosdegree | A17md |
| 40 | Augmented 2-mosdegree | A2md |
| 39 | Augmented 13-mosdegree | A13md |
| 38 | Augmented 24-mosdegree | A24md |
| 37 | Augmented 9-mosdegree | A9md |
| 36 | Augmented 20-mosdegree | A20md |
| 35 | Augmented 5-mosdegree | A5md |
| 34 | Augmented 16-mosdegree | A16md |
| 33 | Augmented 1-mosdegree | A1md |
| 32 | Augmented 12-mosdegree | A12md |
| 31 | Augmented 23-mosdegree | A23md |
| 30 | Augmented 8-mosdegree | A8md |
| 29 | Augmented 19-mosdegree | A19md |
| 28 | Augmented 4-mosdegree | A4md |
| 27 | Augmented 15-mosdegree | A15md |
| 26 | Augmented 0-mosdegree | A0md |
| 25 | Augmented 11-mosdegree | A11md |
| 24 | Major 22-mosdegree | M22md |
| 23 | Major 7-mosdegree | M7md |
| 22 | Major 18-mosdegree | M18md |
| 21 | Major 3-mosdegree | M3md |
| 20 | Major 14-mosdegree | M14md |
| 19 | Major 25-mosdegree | M25md |
| 18 | Major 10-mosdegree | M10md |
| 17 | Major 21-mosdegree | M21md |
| 16 | Major 6-mosdegree | M6md |
| 15 | Major 17-mosdegree | M17md |
| 14 | Major 2-mosdegree | M2md |
| 13 | Major 13-mosdegree | M13md |
| 12 | Major 24-mosdegree | M24md |
| 11 | Major 9-mosdegree | M9md |
| 10 | Major 20-mosdegree | M20md |
| 9 | Major 5-mosdegree | M5md |
| 8 | Major 16-mosdegree | M16md |
| 7 | Major 1-mosdegree | M1md |
| 6 | Major 12-mosdegree | M12md |
| 5 | Major 23-mosdegree | M23md |
| 4 | Major 8-mosdegree | M8md |
| 3 | Major 19-mosdegree | M19md |
| 2 | Major 4-mosdegree | M4md |
| 1 | Perfect 15-mosdegree | P15md |
| 0 | Perfect 0-mosdegree Perfect 26-mosdegree |
P0md P26md |
| −1 | Perfect 11-mosdegree | P11md |
| −2 | Minor 22-mosdegree | m22md |
| −3 | Minor 7-mosdegree | m7md |
| −4 | Minor 18-mosdegree | m18md |
| −5 | Minor 3-mosdegree | m3md |
| −6 | Minor 14-mosdegree | m14md |
| −7 | Minor 25-mosdegree | m25md |
| −8 | Minor 10-mosdegree | m10md |
| −9 | Minor 21-mosdegree | m21md |
| −10 | Minor 6-mosdegree | m6md |
| −11 | Minor 17-mosdegree | m17md |
| −12 | Minor 2-mosdegree | m2md |
| −13 | Minor 13-mosdegree | m13md |
| −14 | Minor 24-mosdegree | m24md |
| −15 | Minor 9-mosdegree | m9md |
| −16 | Minor 20-mosdegree | m20md |
| −17 | Minor 5-mosdegree | m5md |
| −18 | Minor 16-mosdegree | m16md |
| −19 | Minor 1-mosdegree | m1md |
| −20 | Minor 12-mosdegree | m12md |
| −21 | Minor 23-mosdegree | m23md |
| −22 | Minor 8-mosdegree | m8md |
| −23 | Minor 19-mosdegree | m19md |
| −24 | Minor 4-mosdegree | m4md |
| −25 | Diminished 15-mosdegree | d15md |
| −26 | Diminished 26-mosdegree | d26md |
| −27 | Diminished 11-mosdegree | d11md |
| −28 | Diminished 22-mosdegree | d22md |
| −29 | Diminished 7-mosdegree | d7md |
| −30 | Diminished 18-mosdegree | d18md |
| −31 | Diminished 3-mosdegree | d3md |
| −32 | Diminished 14-mosdegree | d14md |
| −33 | Diminished 25-mosdegree | d25md |
| −34 | Diminished 10-mosdegree | d10md |
| −35 | Diminished 21-mosdegree | d21md |
| −36 | Diminished 6-mosdegree | d6md |
| −37 | Diminished 17-mosdegree | d17md |
| −38 | Diminished 2-mosdegree | d2md |
| −39 | Diminished 13-mosdegree | d13md |
| −40 | Diminished 24-mosdegree | d24md |
| −41 | Diminished 9-mosdegree | d9md |
| −42 | Diminished 20-mosdegree | d20md |
| −43 | Diminished 5-mosdegree | d5md |
| −44 | Diminished 16-mosdegree | d16md |
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 | |||
| 25|0 | 1 | LLLsLLLsLLLsLLsLLLsLLLsLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 24|1 | 16 | LLLsLLLsLLsLLLsLLLsLLLsLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
| 23|2 | 5 | LLLsLLLsLLsLLLsLLLsLLsLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
| 22|3 | 20 | LLLsLLsLLLsLLLsLLLsLLsLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
| 21|4 | 9 | LLLsLLsLLLsLLLsLLsLLLsLLLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
| 20|5 | 24 | LLsLLLsLLLsLLLsLLsLLLsLLLs | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
| 19|6 | 13 | LLsLLLsLLLsLLsLLLsLLLsLLLs | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. |
| 18|7 | 2 | LLsLLLsLLLsLLsLLLsLLLsLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. |
| 17|8 | 17 | LLsLLLsLLsLLLsLLLsLLLsLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. |
| 16|9 | 6 | LLsLLLsLLsLLLsLLLsLLsLLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
| 15|10 | 21 | LLsLLsLLLsLLLsLLLsLLsLLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
| 14|11 | 10 | LLsLLsLLLsLLLsLLsLLLsLLLsL | Perf. | Maj. | Maj. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
| 13|12 | 25 | LsLLLsLLLsLLLsLLsLLLsLLLsL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
| 12|13 | 14 | LsLLLsLLLsLLsLLLsLLLsLLLsL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. |
| 11|14 | 3 | LsLLLsLLLsLLsLLLsLLLsLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 10|15 | 18 | LsLLLsLLsLLLsLLLsLLLsLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 9|16 | 7 | LsLLLsLLsLLLsLLLsLLsLLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Maj. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 8|17 | 22 | LsLLsLLLsLLLsLLLsLLsLLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 7|18 | 11 | LsLLsLLLsLLLsLLsLLLsLLLsLL | Perf. | Maj. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 6|19 | 26 | sLLLsLLLsLLLsLLsLLLsLLLsLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 5|20 | 15 | sLLLsLLLsLLsLLLsLLLsLLLsLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. |
| 4|21 | 4 | sLLLsLLLsLLsLLLsLLLsLLsLLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Maj. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
| 3|22 | 19 | sLLLsLLsLLLsLLLsLLLsLLsLLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
| 2|23 | 8 | sLLLsLLsLLLsLLLsLLsLLLsLLL | Perf. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
| 1|24 | 23 | sLLsLLLsLLLsLLLsLLsLLLsLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
| 0|25 | 12 | sLLsLLLsLLLsLLsLLLsLLLsLLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Dim. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
Scale tree
| Generator(edo) | Cents | Step ratio | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Bright | Dark | L:s | Hardness | ||||||||
| 15\26 | 692.308 | 507.692 | 1:1 | 1.000 | Equalized 19L 7s | ||||||
| 101\175 | 692.571 | 507.429 | 7:6 | 1.167 | |||||||
| 86\149 | 692.617 | 507.383 | 6:5 | 1.200 | |||||||
| 157\272 | 692.647 | 507.353 | 11:9 | 1.222 | |||||||
| 71\123 | 692.683 | 507.317 | 5:4 | 1.250 | |||||||
| 198\343 | 692.711 | 507.289 | 14:11 | 1.273 | |||||||
| 127\220 | 692.727 | 507.273 | 9:7 | 1.286 | |||||||
| 183\317 | 692.744 | 507.256 | 13:10 | 1.300 | |||||||
| 56\97 | 692.784 | 507.216 | 4:3 | 1.333 | Supersoft 19L 7s | ||||||
| 209\362 | 692.818 | 507.182 | 15:11 | 1.364 | |||||||
| 153\265 | 692.830 | 507.170 | 11:8 | 1.375 | |||||||
| 250\433 | 692.841 | 507.159 | 18:13 | 1.385 | |||||||
| 97\168 | 692.857 | 507.143 | 7:5 | 1.400 | |||||||
| 235\407 | 692.875 | 507.125 | 17:12 | 1.417 | |||||||
| 138\239 | 692.887 | 507.113 | 10:7 | 1.429 | |||||||
| 179\310 | 692.903 | 507.097 | 13:9 | 1.444 | |||||||
| 41\71 | 692.958 | 507.042 | 3:2 | 1.500 | Soft 19L 7s | ||||||
| 190\329 | 693.009 | 506.991 | 14:9 | 1.556 | |||||||
| 149\258 | 693.023 | 506.977 | 11:7 | 1.571 | |||||||
| 257\445 | 693.034 | 506.966 | 19:12 | 1.583 | |||||||
| 108\187 | 693.048 | 506.952 | 8:5 | 1.600 | |||||||
| 283\490 | 693.061 | 506.939 | 21:13 | 1.615 | |||||||
| 175\303 | 693.069 | 506.931 | 13:8 | 1.625 | |||||||
| 242\419 | 693.079 | 506.921 | 18:11 | 1.636 | |||||||
| 67\116 | 693.103 | 506.897 | 5:3 | 1.667 | Semisoft 19L 7s | ||||||
| 227\393 | 693.130 | 506.870 | 17:10 | 1.700 | |||||||
| 160\277 | 693.141 | 506.859 | 12:7 | 1.714 | |||||||
| 253\438 | 693.151 | 506.849 | 19:11 | 1.727 | |||||||
| 93\161 | 693.168 | 506.832 | 7:4 | 1.750 | |||||||
| 212\367 | 693.188 | 506.812 | 16:9 | 1.778 | |||||||
| 119\206 | 693.204 | 506.796 | 9:5 | 1.800 | |||||||
| 145\251 | 693.227 | 506.773 | 11:6 | 1.833 | |||||||
| 26\45 | 693.333 | 506.667 | 2:1 | 2.000 | Basic 19L 7s Scales with tunings softer than this are proper | ||||||
| 141\244 | 693.443 | 506.557 | 11:5 | 2.200 | |||||||
| 115\199 | 693.467 | 506.533 | 9:4 | 2.250 | |||||||
| 204\353 | 693.484 | 506.516 | 16:7 | 2.286 | |||||||
| 89\154 | 693.506 | 506.494 | 7:3 | 2.333 | |||||||
| 241\417 | 693.525 | 506.475 | 19:8 | 2.375 | |||||||
| 152\263 | 693.536 | 506.464 | 12:5 | 2.400 | |||||||
| 215\372 | 693.548 | 506.452 | 17:7 | 2.429 | |||||||
| 63\109 | 693.578 | 506.422 | 5:2 | 2.500 | Semihard 19L 7s | ||||||
| 226\391 | 693.606 | 506.394 | 18:7 | 2.571 | |||||||
| 163\282 | 693.617 | 506.383 | 13:5 | 2.600 | |||||||
| 263\455 | 693.626 | 506.374 | 21:8 | 2.625 | |||||||
| 100\173 | 693.642 | 506.358 | 8:3 | 2.667 | |||||||
| 237\410 | 693.659 | 506.341 | 19:7 | 2.714 | |||||||
| 137\237 | 693.671 | 506.329 | 11:4 | 2.750 | |||||||
| 174\301 | 693.688 | 506.312 | 14:5 | 2.800 | |||||||
| 37\64 | 693.750 | 506.250 | 3:1 | 3.000 | Hard 19L 7s | ||||||
| 159\275 | 693.818 | 506.182 | 13:4 | 3.250 | |||||||
| 122\211 | 693.839 | 506.161 | 10:3 | 3.333 | |||||||
| 207\358 | 693.855 | 506.145 | 17:5 | 3.400 | |||||||
| 85\147 | 693.878 | 506.122 | 7:2 | 3.500 | |||||||
| 218\377 | 693.899 | 506.101 | 18:5 | 3.600 | |||||||
| 133\230 | 693.913 | 506.087 | 11:3 | 3.667 | |||||||
| 181\313 | 693.930 | 506.070 | 15:4 | 3.750 | |||||||
| 48\83 | 693.976 | 506.024 | 4:1 | 4.000 | Superhard 19L 7s | ||||||
| 155\268 | 694.030 | 505.970 | 13:3 | 4.333 | |||||||
| 107\185 | 694.054 | 505.946 | 9:2 | 4.500 | |||||||
| 166\287 | 694.077 | 505.923 | 14:3 | 4.667 | |||||||
| 59\102 | 694.118 | 505.882 | 5:1 | 5.000 | |||||||
| 129\223 | 694.170 | 505.830 | 11:2 | 5.500 | |||||||
| 70\121 | 694.215 | 505.785 | 6:1 | 6.000 | |||||||
| 81\140 | 694.286 | 505.714 | 7:1 | 7.000 | |||||||
| 11\19 | 694.737 | 505.263 | 1:0 | → ∞ | Collapsed 19L 7s | ||||||