17L 14s
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↖ 16L 13s | ↑ 17L 13s | 18L 13s ↗ |
← 16L 14s | 17L 14s | 18L 14s → |
↙ 16L 15s | ↓ 17L 15s | 18L 15s ↘ |
┌╥╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬╥┬┐ │║║│║│║│║│║║│║│║│║│║│║║│║│║│║│║││ │││││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLsLsLsLsLLsLsLsLsLsLLsLsLsLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
17L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 14 small steps, repeating every octave. 17L 14s is related to 3L 5s, expanding it by 23 tones. Generators that produce this scale range from 774.2 ¢ to 776.5 ¢, or from 423.5 ¢ to 425.8 ¢.
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 interval regions.
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 38.7 ¢ |
Major 1-mosstep | M1ms | L | 38.7 ¢ to 70.6 ¢ | |
2-mosstep | Minor 2-mosstep | m2ms | L + s | 70.6 ¢ to 77.4 ¢ |
Major 2-mosstep | M2ms | 2L | 77.4 ¢ to 141.2 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 70.6 ¢ to 116.1 ¢ |
Major 3-mosstep | M3ms | 2L + s | 116.1 ¢ to 141.2 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 141.2 ¢ to 154.8 ¢ |
Major 4-mosstep | M4ms | 3L + s | 154.8 ¢ to 211.8 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 141.2 ¢ to 193.5 ¢ |
Major 5-mosstep | M5ms | 3L + 2s | 193.5 ¢ to 211.8 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 211.8 ¢ to 232.3 ¢ |
Major 6-mosstep | M6ms | 4L + 2s | 232.3 ¢ to 282.4 ¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 3L + 4s | 211.8 ¢ to 271.0 ¢ |
Major 7-mosstep | M7ms | 4L + 3s | 271.0 ¢ to 282.4 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 4L + 4s | 282.4 ¢ to 309.7 ¢ |
Major 8-mosstep | M8ms | 5L + 3s | 309.7 ¢ to 352.9 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 4L + 5s | 282.4 ¢ to 348.4 ¢ |
Major 9-mosstep | M9ms | 5L + 4s | 348.4 ¢ to 352.9 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 5L + 5s | 352.9 ¢ to 387.1 ¢ |
Major 10-mosstep | M10ms | 6L + 4s | 387.1 ¢ to 423.5 ¢ | |
11-mosstep | Perfect 11-mosstep | P11ms | 6L + 5s | 423.5 ¢ to 425.8 ¢ |
Augmented 11-mosstep | A11ms | 7L + 4s | 425.8 ¢ to 494.1 ¢ | |
12-mosstep | Minor 12-mosstep | m12ms | 6L + 6s | 423.5 ¢ to 464.5 ¢ |
Major 12-mosstep | M12ms | 7L + 5s | 464.5 ¢ to 494.1 ¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 7L + 6s | 494.1 ¢ to 503.2 ¢ |
Major 13-mosstep | M13ms | 8L + 5s | 503.2 ¢ to 564.7 ¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 7L + 7s | 494.1 ¢ to 541.9 ¢ |
Major 14-mosstep | M14ms | 8L + 6s | 541.9 ¢ to 564.7 ¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 8L + 7s | 564.7 ¢ to 580.6 ¢ |
Major 15-mosstep | M15ms | 9L + 6s | 580.6 ¢ to 635.3 ¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 8L + 8s | 564.7 ¢ to 619.4 ¢ |
Major 16-mosstep | M16ms | 9L + 7s | 619.4 ¢ to 635.3 ¢ | |
17-mosstep | Minor 17-mosstep | m17ms | 9L + 8s | 635.3 ¢ to 658.1 ¢ |
Major 17-mosstep | M17ms | 10L + 7s | 658.1 ¢ to 705.9 ¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 9L + 9s | 635.3 ¢ to 696.8 ¢ |
Major 18-mosstep | M18ms | 10L + 8s | 696.8 ¢ to 705.9 ¢ | |
19-mosstep | Minor 19-mosstep | m19ms | 10L + 9s | 705.9 ¢ to 735.5 ¢ |
Major 19-mosstep | M19ms | 11L + 8s | 735.5 ¢ to 776.5 ¢ | |
20-mosstep | Diminished 20-mosstep | d20ms | 10L + 10s | 705.9 ¢ to 774.2 ¢ |
Perfect 20-mosstep | P20ms | 11L + 9s | 774.2 ¢ to 776.5 ¢ | |
21-mosstep | Minor 21-mosstep | m21ms | 11L + 10s | 776.5 ¢ to 812.9 ¢ |
Major 21-mosstep | M21ms | 12L + 9s | 812.9 ¢ to 847.1 ¢ | |
22-mosstep | Minor 22-mosstep | m22ms | 12L + 10s | 847.1 ¢ to 851.6 ¢ |
Major 22-mosstep | M22ms | 13L + 9s | 851.6 ¢ to 917.6 ¢ | |
23-mosstep | Minor 23-mosstep | m23ms | 12L + 11s | 847.1 ¢ to 890.3 ¢ |
Major 23-mosstep | M23ms | 13L + 10s | 890.3 ¢ to 917.6 ¢ | |
24-mosstep | Minor 24-mosstep | m24ms | 13L + 11s | 917.6 ¢ to 929.0 ¢ |
Major 24-mosstep | M24ms | 14L + 10s | 929.0 ¢ to 988.2 ¢ | |
25-mosstep | Minor 25-mosstep | m25ms | 13L + 12s | 917.6 ¢ to 967.7 ¢ |
Major 25-mosstep | M25ms | 14L + 11s | 967.7 ¢ to 988.2 ¢ | |
26-mosstep | Minor 26-mosstep | m26ms | 14L + 12s | 988.2 ¢ to 1006.5 ¢ |
Major 26-mosstep | M26ms | 15L + 11s | 1006.5 ¢ to 1058.8 ¢ | |
27-mosstep | Minor 27-mosstep | m27ms | 14L + 13s | 988.2 ¢ to 1045.2 ¢ |
Major 27-mosstep | M27ms | 15L + 12s | 1045.2 ¢ to 1058.8 ¢ | |
28-mosstep | Minor 28-mosstep | m28ms | 15L + 13s | 1058.8 ¢ to 1083.9 ¢ |
Major 28-mosstep | M28ms | 16L + 12s | 1083.9 ¢ to 1129.4 ¢ | |
29-mosstep | Minor 29-mosstep | m29ms | 15L + 14s | 1058.8 ¢ to 1122.6 ¢ |
Major 29-mosstep | M29ms | 16L + 13s | 1122.6 ¢ to 1129.4 ¢ | |
30-mosstep | Minor 30-mosstep | m30ms | 16L + 14s | 1129.4 ¢ to 1161.3 ¢ |
Major 30-mosstep | M30ms | 17L + 13s | 1161.3 ¢ to 1200.0 ¢ | |
31-mosstep | Perfect 31-mosstep | P31ms | 17L + 14s | 1200.0 ¢ |
Generator chain
Bright gens | Scale degree | Abbrev. |
---|---|---|
47 | Augmented 10-mosdegree | A10md |
46 | Augmented 21-mosdegree | A21md |
45 | Augmented 1-mosdegree | A1md |
44 | Augmented 12-mosdegree | A12md |
43 | Augmented 23-mosdegree | A23md |
42 | Augmented 3-mosdegree | A3md |
41 | Augmented 14-mosdegree | A14md |
40 | Augmented 25-mosdegree | A25md |
39 | Augmented 5-mosdegree | A5md |
38 | Augmented 16-mosdegree | A16md |
37 | Augmented 27-mosdegree | A27md |
36 | Augmented 7-mosdegree | A7md |
35 | Augmented 18-mosdegree | A18md |
34 | Augmented 29-mosdegree | A29md |
33 | Augmented 9-mosdegree | A9md |
32 | Augmented 20-mosdegree | A20md |
31 | Augmented 0-mosdegree | A0md |
30 | Augmented 11-mosdegree | A11md |
29 | Major 22-mosdegree | M22md |
28 | Major 2-mosdegree | M2md |
27 | Major 13-mosdegree | M13md |
26 | Major 24-mosdegree | M24md |
25 | Major 4-mosdegree | M4md |
24 | Major 15-mosdegree | M15md |
23 | Major 26-mosdegree | M26md |
22 | Major 6-mosdegree | M6md |
21 | Major 17-mosdegree | M17md |
20 | Major 28-mosdegree | M28md |
19 | Major 8-mosdegree | M8md |
18 | Major 19-mosdegree | M19md |
17 | Major 30-mosdegree | M30md |
16 | Major 10-mosdegree | M10md |
15 | Major 21-mosdegree | M21md |
14 | Major 1-mosdegree | M1md |
13 | Major 12-mosdegree | M12md |
12 | Major 23-mosdegree | M23md |
11 | Major 3-mosdegree | M3md |
10 | Major 14-mosdegree | M14md |
9 | Major 25-mosdegree | M25md |
8 | Major 5-mosdegree | M5md |
7 | Major 16-mosdegree | M16md |
6 | Major 27-mosdegree | M27md |
5 | Major 7-mosdegree | M7md |
4 | Major 18-mosdegree | M18md |
3 | Major 29-mosdegree | M29md |
2 | Major 9-mosdegree | M9md |
1 | Perfect 20-mosdegree | P20md |
0 | Perfect 0-mosdegree Perfect 31-mosdegree |
P0md P31md |
−1 | Perfect 11-mosdegree | P11md |
−2 | Minor 22-mosdegree | m22md |
−3 | Minor 2-mosdegree | m2md |
−4 | Minor 13-mosdegree | m13md |
−5 | Minor 24-mosdegree | m24md |
−6 | Minor 4-mosdegree | m4md |
−7 | Minor 15-mosdegree | m15md |
−8 | Minor 26-mosdegree | m26md |
−9 | Minor 6-mosdegree | m6md |
−10 | Minor 17-mosdegree | m17md |
−11 | Minor 28-mosdegree | m28md |
−12 | Minor 8-mosdegree | m8md |
−13 | Minor 19-mosdegree | m19md |
−14 | Minor 30-mosdegree | m30md |
−15 | Minor 10-mosdegree | m10md |
−16 | Minor 21-mosdegree | m21md |
−17 | Minor 1-mosdegree | m1md |
−18 | Minor 12-mosdegree | m12md |
−19 | Minor 23-mosdegree | m23md |
−20 | Minor 3-mosdegree | m3md |
−21 | Minor 14-mosdegree | m14md |
−22 | Minor 25-mosdegree | m25md |
−23 | Minor 5-mosdegree | m5md |
−24 | Minor 16-mosdegree | m16md |
−25 | Minor 27-mosdegree | m27md |
−26 | Minor 7-mosdegree | m7md |
−27 | Minor 18-mosdegree | m18md |
−28 | Minor 29-mosdegree | m29md |
−29 | Minor 9-mosdegree | m9md |
−30 | Diminished 20-mosdegree | d20md |
−31 | Diminished 31-mosdegree | d31md |
−32 | Diminished 11-mosdegree | d11md |
−33 | Diminished 22-mosdegree | d22md |
−34 | Diminished 2-mosdegree | d2md |
−35 | Diminished 13-mosdegree | d13md |
−36 | Diminished 24-mosdegree | d24md |
−37 | Diminished 4-mosdegree | d4md |
−38 | Diminished 15-mosdegree | d15md |
−39 | Diminished 26-mosdegree | d26md |
−40 | Diminished 6-mosdegree | d6md |
−41 | Diminished 17-mosdegree | d17md |
−42 | Diminished 28-mosdegree | d28md |
−43 | Diminished 8-mosdegree | d8md |
−44 | Diminished 19-mosdegree | d19md |
−45 | Diminished 30-mosdegree | d30md |
−46 | Diminished 10-mosdegree | d10md |
−47 | Diminished 21-mosdegree | d21md |
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 | 28 | 29 | 30 | 31 | |||
30|0 | 1 | LLsLsLsLsLLsLsLsLsLsLLsLsLsLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
29|1 | 21 | LLsLsLsLsLsLLsLsLsLsLLsLsLsLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
28|2 | 10 | LLsLsLsLsLsLLsLsLsLsLsLLsLsLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
27|3 | 30 | LsLLsLsLsLsLLsLsLsLsLsLLsLsLsLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
26|4 | 19 | LsLLsLsLsLsLsLLsLsLsLsLLsLsLsLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
25|5 | 8 | LsLLsLsLsLsLsLLsLsLsLsLsLLsLsLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
24|6 | 28 | LsLsLLsLsLsLsLLsLsLsLsLsLLsLsLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
23|7 | 17 | LsLsLLsLsLsLsLsLLsLsLsLsLLsLsLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
22|8 | 6 | LsLsLLsLsLsLsLsLLsLsLsLsLsLLsLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
21|9 | 26 | LsLsLsLLsLsLsLsLLsLsLsLsLsLLsLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
20|10 | 15 | LsLsLsLLsLsLsLsLsLLsLsLsLsLLsLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
19|11 | 4 | LsLsLsLLsLsLsLsLsLLsLsLsLsLsLLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
18|12 | 24 | LsLsLsLsLLsLsLsLsLLsLsLsLsLsLLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
17|13 | 13 | LsLsLsLsLLsLsLsLsLsLLsLsLsLsLLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
16|14 | 2 | LsLsLsLsLLsLsLsLsLsLLsLsLsLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
15|15 | 22 | LsLsLsLsLsLLsLsLsLsLLsLsLsLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
14|16 | 11 | LsLsLsLsLsLLsLsLsLsLsLLsLsLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
13|17 | 31 | sLLsLsLsLsLLsLsLsLsLsLLsLsLsLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
12|18 | 20 | sLLsLsLsLsLsLLsLsLsLsLLsLsLsLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
11|19 | 9 | sLLsLsLsLsLsLLsLsLsLsLsLLsLsLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
10|20 | 29 | sLsLLsLsLsLsLLsLsLsLsLsLLsLsLsL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
9|21 | 18 | sLsLLsLsLsLsLsLLsLsLsLsLLsLsLsL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
8|22 | 7 | sLsLLsLsLsLsLsLLsLsLsLsLsLLsLsL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
7|23 | 27 | sLsLsLLsLsLsLsLLsLsLsLsLsLLsLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
6|24 | 16 | sLsLsLLsLsLsLsLsLLsLsLsLsLLsLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
5|25 | 5 | sLsLsLLsLsLsLsLsLLsLsLsLsLsLLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
4|26 | 25 | sLsLsLsLLsLsLsLsLLsLsLsLsLsLLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
3|27 | 14 | sLsLsLsLLsLsLsLsLsLLsLsLsLsLLsL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
2|28 | 3 | sLsLsLsLLsLsLsLsLsLLsLsLsLsLsLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
1|29 | 23 | sLsLsLsLsLLsLsLsLsLLsLsLsLsLsLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
0|30 | 12 | sLsLsLsLsLLsLsLsLsLsLLsLsLsLsLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | 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 | |||||||
20\31 | 774.194 | 425.806 | 1:1 | 1.000 | Equalized 17L 14s | |||||
111\172 | 774.419 | 425.581 | 6:5 | 1.200 | ||||||
91\141 | 774.468 | 425.532 | 5:4 | 1.250 | ||||||
162\251 | 774.502 | 425.498 | 9:7 | 1.286 | ||||||
71\110 | 774.545 | 425.455 | 4:3 | 1.333 | Supersoft 17L 14s | |||||
193\299 | 774.582 | 425.418 | 11:8 | 1.375 | ||||||
122\189 | 774.603 | 425.397 | 7:5 | 1.400 | ||||||
173\268 | 774.627 | 425.373 | 10:7 | 1.429 | ||||||
51\79 | 774.684 | 425.316 | 3:2 | 1.500 | Soft 17L 14s | |||||
184\285 | 774.737 | 425.263 | 11:7 | 1.571 | ||||||
133\206 | 774.757 | 425.243 | 8:5 | 1.600 | ||||||
215\333 | 774.775 | 425.225 | 13:8 | 1.625 | ||||||
82\127 | 774.803 | 425.197 | 5:3 | 1.667 | Semisoft 17L 14s | |||||
195\302 | 774.834 | 425.166 | 12:7 | 1.714 | ||||||
113\175 | 774.857 | 425.143 | 7:4 | 1.750 | ||||||
144\223 | 774.888 | 425.112 | 9:5 | 1.800 | ||||||
31\48 | 775.000 | 425.000 | 2:1 | 2.000 | Basic 17L 14s Scales with tunings softer than this are proper | |||||
135\209 | 775.120 | 424.880 | 9:4 | 2.250 | ||||||
104\161 | 775.155 | 424.845 | 7:3 | 2.333 | ||||||
177\274 | 775.182 | 424.818 | 12:5 | 2.400 | ||||||
73\113 | 775.221 | 424.779 | 5:2 | 2.500 | Semihard 17L 14s | |||||
188\291 | 775.258 | 424.742 | 13:5 | 2.600 | ||||||
115\178 | 775.281 | 424.719 | 8:3 | 2.667 | ||||||
157\243 | 775.309 | 424.691 | 11:4 | 2.750 | ||||||
42\65 | 775.385 | 424.615 | 3:1 | 3.000 | Hard 17L 14s | |||||
137\212 | 775.472 | 424.528 | 10:3 | 3.333 | ||||||
95\147 | 775.510 | 424.490 | 7:2 | 3.500 | ||||||
148\229 | 775.546 | 424.454 | 11:3 | 3.667 | ||||||
53\82 | 775.610 | 424.390 | 4:1 | 4.000 | Superhard 17L 14s | |||||
117\181 | 775.691 | 424.309 | 9:2 | 4.500 | ||||||
64\99 | 775.758 | 424.242 | 5:1 | 5.000 | ||||||
75\116 | 775.862 | 424.138 | 6:1 | 6.000 | ||||||
11\17 | 776.471 | 423.529 | 1:0 | → ∞ | Collapsed 17L 14s |
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