17L 12s
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↖ 16L 11s | ↑ 17L 11s | 18L 11s ↗ |
← 16L 12s | 17L 12s | 18L 12s → |
↙ 16L 13s | ↓ 17L 13s | 18L 13s ↘ |
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║║│║│║│║║│║│║║│║│║││ │││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
sLsLsLLsLsLLsLsLsLLsLsLLsLsLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
17L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 17 large steps and 12 small steps, repeating every octave. 17L 12s is a great-grandchild scale of 5L 2s, expanding it by 22 tones. Generators that produce this scale range from 703.4 ¢ to 705.9 ¢, or from 494.1 ¢ to 496.6 ¢.
This mos, belonging to the leapday temperament, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 ¢ sharp. That is to say, its region includes all linear combinations of 17edo and 29edo and divides at 80edo into Margo Schulter's gentle region extending down to 29edo and a yet-unnamed region extending up to 17edo.
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 41.4 ¢ |
Major 1-mosstep | M1ms | L | 41.4 ¢ to 70.6 ¢ | |
2-mosstep | Minor 2-mosstep | m2ms | L + s | 70.6 ¢ to 82.8 ¢ |
Major 2-mosstep | M2ms | 2L | 82.8 ¢ to 141.2 ¢ | |
3-mosstep | Minor 3-mosstep | m3ms | L + 2s | 70.6 ¢ to 124.1 ¢ |
Major 3-mosstep | M3ms | 2L + s | 124.1 ¢ to 141.2 ¢ | |
4-mosstep | Minor 4-mosstep | m4ms | 2L + 2s | 141.2 ¢ to 165.5 ¢ |
Major 4-mosstep | M4ms | 3L + s | 165.5 ¢ to 211.8 ¢ | |
5-mosstep | Minor 5-mosstep | m5ms | 2L + 3s | 141.2 ¢ to 206.9 ¢ |
Major 5-mosstep | M5ms | 3L + 2s | 206.9 ¢ to 211.8 ¢ | |
6-mosstep | Minor 6-mosstep | m6ms | 3L + 3s | 211.8 ¢ to 248.3 ¢ |
Major 6-mosstep | M6ms | 4L + 2s | 248.3 ¢ to 282.4 ¢ | |
7-mosstep | Minor 7-mosstep | m7ms | 4L + 3s | 282.4 ¢ to 289.7 ¢ |
Major 7-mosstep | M7ms | 5L + 2s | 289.7 ¢ to 352.9 ¢ | |
8-mosstep | Minor 8-mosstep | m8ms | 4L + 4s | 282.4 ¢ to 331.0 ¢ |
Major 8-mosstep | M8ms | 5L + 3s | 331.0 ¢ to 352.9 ¢ | |
9-mosstep | Minor 9-mosstep | m9ms | 5L + 4s | 352.9 ¢ to 372.4 ¢ |
Major 9-mosstep | M9ms | 6L + 3s | 372.4 ¢ to 423.5 ¢ | |
10-mosstep | Minor 10-mosstep | m10ms | 5L + 5s | 352.9 ¢ to 413.8 ¢ |
Major 10-mosstep | M10ms | 6L + 4s | 413.8 ¢ to 423.5 ¢ | |
11-mosstep | Minor 11-mosstep | m11ms | 6L + 5s | 423.5 ¢ to 455.2 ¢ |
Major 11-mosstep | M11ms | 7L + 4s | 455.2 ¢ to 494.1 ¢ | |
12-mosstep | Perfect 12-mosstep | P12ms | 7L + 5s | 494.1 ¢ to 496.6 ¢ |
Augmented 12-mosstep | A12ms | 8L + 4s | 496.6 ¢ to 564.7 ¢ | |
13-mosstep | Minor 13-mosstep | m13ms | 7L + 6s | 494.1 ¢ to 537.9 ¢ |
Major 13-mosstep | M13ms | 8L + 5s | 537.9 ¢ to 564.7 ¢ | |
14-mosstep | Minor 14-mosstep | m14ms | 8L + 6s | 564.7 ¢ to 579.3 ¢ |
Major 14-mosstep | M14ms | 9L + 5s | 579.3 ¢ to 635.3 ¢ | |
15-mosstep | Minor 15-mosstep | m15ms | 8L + 7s | 564.7 ¢ to 620.7 ¢ |
Major 15-mosstep | M15ms | 9L + 6s | 620.7 ¢ to 635.3 ¢ | |
16-mosstep | Minor 16-mosstep | m16ms | 9L + 7s | 635.3 ¢ to 662.1 ¢ |
Major 16-mosstep | M16ms | 10L + 6s | 662.1 ¢ to 705.9 ¢ | |
17-mosstep | Diminished 17-mosstep | d17ms | 9L + 8s | 635.3 ¢ to 703.4 ¢ |
Perfect 17-mosstep | P17ms | 10L + 7s | 703.4 ¢ to 705.9 ¢ | |
18-mosstep | Minor 18-mosstep | m18ms | 10L + 8s | 705.9 ¢ to 744.8 ¢ |
Major 18-mosstep | M18ms | 11L + 7s | 744.8 ¢ to 776.5 ¢ | |
19-mosstep | Minor 19-mosstep | m19ms | 11L + 8s | 776.5 ¢ to 786.2 ¢ |
Major 19-mosstep | M19ms | 12L + 7s | 786.2 ¢ to 847.1 ¢ | |
20-mosstep | Minor 20-mosstep | m20ms | 11L + 9s | 776.5 ¢ to 827.6 ¢ |
Major 20-mosstep | M20ms | 12L + 8s | 827.6 ¢ to 847.1 ¢ | |
21-mosstep | Minor 21-mosstep | m21ms | 12L + 9s | 847.1 ¢ to 869.0 ¢ |
Major 21-mosstep | M21ms | 13L + 8s | 869.0 ¢ to 917.6 ¢ | |
22-mosstep | Minor 22-mosstep | m22ms | 12L + 10s | 847.1 ¢ to 910.3 ¢ |
Major 22-mosstep | M22ms | 13L + 9s | 910.3 ¢ to 917.6 ¢ | |
23-mosstep | Minor 23-mosstep | m23ms | 13L + 10s | 917.6 ¢ to 951.7 ¢ |
Major 23-mosstep | M23ms | 14L + 9s | 951.7 ¢ to 988.2 ¢ | |
24-mosstep | Minor 24-mosstep | m24ms | 14L + 10s | 988.2 ¢ to 993.1 ¢ |
Major 24-mosstep | M24ms | 15L + 9s | 993.1 ¢ to 1058.8 ¢ | |
25-mosstep | Minor 25-mosstep | m25ms | 14L + 11s | 988.2 ¢ to 1034.5 ¢ |
Major 25-mosstep | M25ms | 15L + 10s | 1034.5 ¢ to 1058.8 ¢ | |
26-mosstep | Minor 26-mosstep | m26ms | 15L + 11s | 1058.8 ¢ to 1075.9 ¢ |
Major 26-mosstep | M26ms | 16L + 10s | 1075.9 ¢ to 1129.4 ¢ | |
27-mosstep | Minor 27-mosstep | m27ms | 15L + 12s | 1058.8 ¢ to 1117.2 ¢ |
Major 27-mosstep | M27ms | 16L + 11s | 1117.2 ¢ to 1129.4 ¢ | |
28-mosstep | Minor 28-mosstep | m28ms | 16L + 12s | 1129.4 ¢ to 1158.6 ¢ |
Major 28-mosstep | M28ms | 17L + 11s | 1158.6 ¢ to 1200.0 ¢ | |
29-mosstep | Perfect 29-mosstep | P29ms | 17L + 12s | 1200.0 ¢ |
Generator chain
Bright gens | Scale degree | Abbrev. |
---|---|---|
45 | Augmented 11-mosdegree | A11md |
44 | Augmented 23-mosdegree | A23md |
43 | Augmented 6-mosdegree | A6md |
42 | Augmented 18-mosdegree | A18md |
41 | Augmented 1-mosdegree | A1md |
40 | Augmented 13-mosdegree | A13md |
39 | Augmented 25-mosdegree | A25md |
38 | Augmented 8-mosdegree | A8md |
37 | Augmented 20-mosdegree | A20md |
36 | Augmented 3-mosdegree | A3md |
35 | Augmented 15-mosdegree | A15md |
34 | Augmented 27-mosdegree | A27md |
33 | Augmented 10-mosdegree | A10md |
32 | Augmented 22-mosdegree | A22md |
31 | Augmented 5-mosdegree | A5md |
30 | Augmented 17-mosdegree | A17md |
29 | Augmented 0-mosdegree | A0md |
28 | Augmented 12-mosdegree | A12md |
27 | Major 24-mosdegree | M24md |
26 | Major 7-mosdegree | M7md |
25 | Major 19-mosdegree | M19md |
24 | Major 2-mosdegree | M2md |
23 | Major 14-mosdegree | M14md |
22 | Major 26-mosdegree | M26md |
21 | Major 9-mosdegree | M9md |
20 | Major 21-mosdegree | M21md |
19 | Major 4-mosdegree | M4md |
18 | Major 16-mosdegree | M16md |
17 | Major 28-mosdegree | M28md |
16 | Major 11-mosdegree | M11md |
15 | Major 23-mosdegree | M23md |
14 | Major 6-mosdegree | M6md |
13 | Major 18-mosdegree | M18md |
12 | Major 1-mosdegree | M1md |
11 | Major 13-mosdegree | M13md |
10 | Major 25-mosdegree | M25md |
9 | Major 8-mosdegree | M8md |
8 | Major 20-mosdegree | M20md |
7 | Major 3-mosdegree | M3md |
6 | Major 15-mosdegree | M15md |
5 | Major 27-mosdegree | M27md |
4 | Major 10-mosdegree | M10md |
3 | Major 22-mosdegree | M22md |
2 | Major 5-mosdegree | M5md |
1 | Perfect 17-mosdegree | P17md |
0 | Perfect 0-mosdegree Perfect 29-mosdegree |
P0md P29md |
−1 | Perfect 12-mosdegree | P12md |
−2 | Minor 24-mosdegree | m24md |
−3 | Minor 7-mosdegree | m7md |
−4 | Minor 19-mosdegree | m19md |
−5 | Minor 2-mosdegree | m2md |
−6 | Minor 14-mosdegree | m14md |
−7 | Minor 26-mosdegree | m26md |
−8 | Minor 9-mosdegree | m9md |
−9 | Minor 21-mosdegree | m21md |
−10 | Minor 4-mosdegree | m4md |
−11 | Minor 16-mosdegree | m16md |
−12 | Minor 28-mosdegree | m28md |
−13 | Minor 11-mosdegree | m11md |
−14 | Minor 23-mosdegree | m23md |
−15 | Minor 6-mosdegree | m6md |
−16 | Minor 18-mosdegree | m18md |
−17 | Minor 1-mosdegree | m1md |
−18 | Minor 13-mosdegree | m13md |
−19 | Minor 25-mosdegree | m25md |
−20 | Minor 8-mosdegree | m8md |
−21 | Minor 20-mosdegree | m20md |
−22 | Minor 3-mosdegree | m3md |
−23 | Minor 15-mosdegree | m15md |
−24 | Minor 27-mosdegree | m27md |
−25 | Minor 10-mosdegree | m10md |
−26 | Minor 22-mosdegree | m22md |
−27 | Minor 5-mosdegree | m5md |
−28 | Diminished 17-mosdegree | d17md |
−29 | Diminished 29-mosdegree | d29md |
−30 | Diminished 12-mosdegree | d12md |
−31 | Diminished 24-mosdegree | d24md |
−32 | Diminished 7-mosdegree | d7md |
−33 | Diminished 19-mosdegree | d19md |
−34 | Diminished 2-mosdegree | d2md |
−35 | Diminished 14-mosdegree | d14md |
−36 | Diminished 26-mosdegree | d26md |
−37 | Diminished 9-mosdegree | d9md |
−38 | Diminished 21-mosdegree | d21md |
−39 | Diminished 4-mosdegree | d4md |
−40 | Diminished 16-mosdegree | d16md |
−41 | Diminished 28-mosdegree | d28md |
−42 | Diminished 11-mosdegree | d11md |
−43 | Diminished 23-mosdegree | d23md |
−44 | Diminished 6-mosdegree | d6md |
−45 | Diminished 18-mosdegree | d18md |
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 | |||
28|0 | 1 | LLsLsLLsLsLLsLsLsLLsLsLLsLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Aug. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. |
27|1 | 18 | LLsLsLLsLsLsLLsLsLLsLsLLsLsLs | Perf. | Maj. | 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. | Maj. | Perf. |
26|2 | 6 | LLsLsLLsLsLsLLsLsLLsLsLsLLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
25|3 | 23 | LLsLsLsLLsLsLLsLsLLsLsLsLLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
24|4 | 11 | LLsLsLsLLsLsLLsLsLsLLsLsLLsLs | Perf. | Maj. | Maj. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
23|5 | 28 | LsLLsLsLLsLsLLsLsLsLLsLsLLsLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
22|6 | 16 | LsLLsLsLLsLsLsLLsLsLLsLsLLsLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. |
21|7 | 4 | LsLLsLsLLsLsLsLLsLsLLsLsLsLLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
20|8 | 21 | LsLLsLsLsLLsLsLLsLsLLsLsLsLLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
19|9 | 9 | LsLLsLsLsLLsLsLLsLsLsLLsLsLLs | Perf. | Maj. | Min. | Maj. | Maj. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
18|10 | 26 | LsLsLLsLsLLsLsLLsLsLsLLsLsLLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
17|11 | 14 | LsLsLLsLsLLsLsLsLLsLsLLsLsLLs | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. |
16|12 | 2 | LsLsLLsLsLLsLsLsLLsLsLLsLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
15|13 | 19 | LsLsLLsLsLsLLsLsLLsLsLLsLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
14|14 | 7 | LsLsLLsLsLsLLsLsLLsLsLsLLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
13|15 | 24 | LsLsLsLLsLsLLsLsLLsLsLsLLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
12|16 | 12 | LsLsLsLLsLsLLsLsLsLLsLsLLsLsL | Perf. | Maj. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
11|17 | 29 | sLLsLsLLsLsLLsLsLsLLsLsLLsLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
10|18 | 17 | sLLsLsLLsLsLsLLsLsLLsLsLLsLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. |
9|19 | 5 | sLLsLsLLsLsLsLLsLsLLsLsLsLLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Maj. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
8|20 | 22 | sLLsLsLsLLsLsLLsLsLLsLsLsLLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
7|21 | 10 | sLLsLsLsLLsLsLLsLsLsLLsLsLLsL | Perf. | Min. | Min. | Maj. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
6|22 | 27 | sLsLLsLsLLsLsLLsLsLsLLsLsLLsL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
5|23 | 15 | sLsLLsLsLLsLsLsLLsLsLLsLsLLsL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. |
4|24 | 3 | sLsLLsLsLLsLsLsLLsLsLLsLsLsLL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Maj. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
3|25 | 20 | sLsLLsLsLsLLsLsLLsLsLLsLsLsLL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
2|26 | 8 | sLsLLsLsLsLLsLsLLsLsLsLLsLsLL | Perf. | Min. | Min. | Min. | Min. | Maj. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
1|27 | 25 | sLsLsLLsLsLLsLsLLsLsLsLLsLsLL | Perf. | Min. | 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. | Min. | Perf. |
0|28 | 13 | sLsLsLLsLsLLsLsLsLLsLsLLsLsLL | Perf. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. | Min. | Min. | Min. | Min. | Dim. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Min. | Perf. |
Scale tree
Generator(edo) | Cents | Step ratio | Comments | |||||||
---|---|---|---|---|---|---|---|---|---|---|
Bright | Dark | L:s | Hardness | |||||||
17\29 | 703.448 | 496.552 | 1:1 | 1.000 | Equalized 17L 12s | |||||
95\162 | 703.704 | 496.296 | 6:5 | 1.200 | ||||||
78\133 | 703.759 | 496.241 | 5:4 | 1.250 | ||||||
139\237 | 703.797 | 496.203 | 9:7 | 1.286 | ||||||
61\104 | 703.846 | 496.154 | 4:3 | 1.333 | Supersoft 17L 12s | |||||
166\283 | 703.887 | 496.113 | 11:8 | 1.375 | ||||||
105\179 | 703.911 | 496.089 | 7:5 | 1.400 | ||||||
149\254 | 703.937 | 496.063 | 10:7 | 1.429 | ||||||
44\75 | 704.000 | 496.000 | 3:2 | 1.500 | Soft 17L 12s | |||||
159\271 | 704.059 | 495.941 | 11:7 | 1.571 | ||||||
115\196 | 704.082 | 495.918 | 8:5 | 1.600 | ||||||
186\317 | 704.101 | 495.899 | 13:8 | 1.625 | Golden neogothic (704.096 ¢) | |||||
71\121 | 704.132 | 495.868 | 5:3 | 1.667 | Semisoft 17L 12s | |||||
169\288 | 704.167 | 495.833 | 12:7 | 1.714 | ||||||
98\167 | 704.192 | 495.808 | 7:4 | 1.750 | Polypyth | |||||
125\213 | 704.225 | 495.775 | 9:5 | 1.800 | ||||||
27\46 | 704.348 | 495.652 | 2:1 | 2.000 | Basic 17L 12s Scales with tunings softer than this are proper | |||||
118\201 | 704.478 | 495.522 | 9:4 | 2.250 | ||||||
91\155 | 704.516 | 495.484 | 7:3 | 2.333 | ||||||
155\264 | 704.545 | 495.455 | 12:5 | 2.400 | ||||||
64\109 | 704.587 | 495.413 | 5:2 | 2.500 | Semihard 17L 12s Leapweek | |||||
165\281 | 704.626 | 495.374 | 13:5 | 2.600 | ||||||
101\172 | 704.651 | 495.349 | 8:3 | 2.667 | ||||||
138\235 | 704.681 | 495.319 | 11:4 | 2.750 | ||||||
37\63 | 704.762 | 495.238 | 3:1 | 3.000 | Hard 17L 12s Leapfrog | |||||
121\206 | 704.854 | 495.146 | 10:3 | 3.333 | ||||||
84\143 | 704.895 | 495.105 | 7:2 | 3.500 | ||||||
131\223 | 704.933 | 495.067 | 11:3 | 3.667 | ||||||
47\80 | 705.000 | 495.000 | 4:1 | 4.000 | Superhard 17L 12s | |||||
104\177 | 705.085 | 494.915 | 9:2 | 4.500 | ||||||
57\97 | 705.155 | 494.845 | 5:1 | 5.000 | ||||||
67\114 | 705.263 | 494.737 | 6:1 | 6.000 | ||||||
10\17 | 705.882 | 494.118 | 1:0 | → ∞ | Collapsed 17L 12s |