17L 12s
↖ 16L 11s | ↑ 17L 11s | 18L 11s ↗ |
← 16L 12s | 17L 12s | 18L 12s → |
↙ 16L 13s | ↓ 17L 13s | 18L 13s ↘ |
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬┐ │║║│║│║║│║│║║│║│║│║║│║│║║│║│║││ │││││││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sLsLsLLsLsLLsLsLsLLsLsLLsLsLL
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 diatonic interval categories.
Intervals
The intervals of 17L 12s are named after the number of mossteps (L and s) they subtend. Each interval, apart from the root and octave (perfect 0-mosstep and perfect 29-mosstep), has two varieties, or sizes, each. Interval varieties are named major and minor for the large and small sizes, respectively, and augmented, perfect, and diminished for the scale's generators.
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
A chain of bright generators, each a perfect 17-mosstep, produces the following scale degrees. A chain of 29 bright generators contains the scale degrees of one of the modes of 17L 12s. Expanding the chain to 46 scale degrees produces the modes of either 29L 17s (for soft-of-basic tunings) or 17L 29s (for hard-of-basic tunings).
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 |