|
|
Line 40: |
Line 40: |
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| = Title2 = | | = Title2 = |
| === Possible tunings to be used on each page === | | === Placeholder === |
| You can remove some of these or add more that aren't listed here; this section is pretty much just brainstorming.
| |
| | |
| (Used https://x31eq.com/temper-pyscript/net.html, used WE instead of TE cause it kept defaulting to WE and I kept not remembering to switch it)
| |
| | |
| ; High-priority
| |
| | |
| 13edo
| |
| * Main: "13edo and optimal octave stretching"
| |
| * 2.5.11.13 WE (92.483c)
| |
| * 2.5.7.13 WE (92.804c)
| |
| * 2.3 WE (91.405c) (good for opposite 7 mapping)
| |
| * 38zpi (92.531c)
| |
| | |
| 14edo
| |
| * 22edt
| |
| * 36ed6
| |
| * 11-limit WE (85.842c)
| |
| * 13-limit WE (85.759c)
| |
| * 42zpi (86.329c)
| |
| | |
| 16edo
| |
| * 25edt
| |
| * 41ed6
| |
| * 57ed12
| |
| * 2.5.7.13 WE (75.105c)
| |
| * 13-limit WE (75.315c)
| |
| * 15zpi (75.262c)
| |
| | |
| 99edo
| |
| * 157edt
| |
| * 256ed6
| |
| * 7-limit WE (12.117c)
| |
| * 13-limit WE (12.123c)
| |
| * 567zpi (12.138c)
| |
| * 568zpi (12.115c)
| |
| | |
| 23edo (narrow down edonoi & ZPIs)
| |
| * Main: "23edo and octave stretching"
| |
| * 36edt
| |
| * 59ed6
| |
| * 60ed6
| |
| * 68ed8
| |
| * 11ed7/5
| |
| * 1ed33/32
| |
| * 2.3.5.13 WE (52.447c)
| |
| * 2.7.11 WE (51.962c)
| |
| * 13-limit WE (52.237c)
| |
| * 83zpi (53.105c)
| |
| * 84zpi (52.615c)
| |
| * 85zpi (52.114c)
| |
| * 86zpi (51.653c)
| |
| * 87zpi (51.201c)
| |
| | |
| 60edo (narrow down edonoi & ZPIs)
| |
| * 95edt
| |
| * 139ed5
| |
| * 155ed6
| |
| * 208ed11
| |
| * 255ed19
| |
| * 272ed23 (great for catnip temperament)
| |
| * 13-limit WE (20.013c)
| |
| * 299zpi (20.128c)
| |
| * 300zpi (20.093c)
| |
| * 301zpi (20.027c)
| |
| * 302zpi (19.962c)
| |
| * 303zpi (19.913c)
| |
| * 304zpi (19.869c)
| |
| | |
| ; Medium priority
| |
| | |
| 32edo (narrow down ZPIs)
| |
| * 90ed7
| |
| * 51edt
| |
| * 75ed5
| |
| * 1ed46/45
| |
| * 11-limit WE (37.453c)
| |
| * 13-limit WE (37.481c)
| |
| * 131zpi (37.862c)
| |
| * 132zpi (37.662c)
| |
| * 133zpi (37.418c)
| |
| * 134zpi (37.176c)
| |
| | |
| 33edo (narrow down edonoi)
| |
| * 76ed5
| |
| * 92ed7
| |
| * 52edt
| |
| * 1ed47/46
| |
| * 114ed11
| |
| * 122ed13
| |
| * 93ed7
| |
| * 23edPhi
| |
| * 77ed5
| |
| * 123ed13
| |
| * 115ed11
| |
| * 11-limit WE (36.349c)
| |
| * 13-limit WE (36.357c)
| |
| * 137zpi (36.628c)
| |
| * 138zpi (36.394c)
| |
| * 139zpi (36.179c)
| |
| | |
| 39edo
| |
| * 62edt
| |
| * 101ed6
| |
| * 18ed11/8
| |
| * 2.3.5.11 WE (30.703c)
| |
| * 2.3.7.11.13 WE (30.787c)
| |
| * 13-limit WE (30.757c)
| |
| * 171zpi (30.973c)
| |
| * 172zpi (30.836c)
| |
| * 173zpi (30.672c)
| |
| | |
| 42edo
| |
| * 42ed257/128 (replace w something similar but simpler)
| |
| * AS123/121 (1ed123/121)
| |
| * 11ed6/5
| |
| * 34ed7/4
| |
| * 7-limit WE (28.484c)
| |
| * 13-limit WE (28.534c)
| |
| * 189zpi (28.689c)
| |
| * 190zpi (28.572c)
| |
| * 191zpi (28.444c)
| |
| | |
| 45edo
| |
| * 126ed7
| |
| * 13ed11/9
| |
| * 7-limit WE (26.745c)
| |
| * 13-limit WE (26.695c)
| |
| * 207zpi (26.762)
| |
| * 208zpi (26.646)
| |
| * 209zpi (26.550)
| |
| | |
| 54edo
| |
| * 86edt
| |
| * 126ed5
| |
| * 152ed7
| |
| * 38ed5/3
| |
| * 40ed5/3
| |
| * 2.3.7.11.13 WE (22.180c)
| |
| * 13-limit WE (22.198c)
| |
| * 262zpi (22.313c)
| |
| * 263zpi (22.243c)
| |
| * 264zpi (22.175c)
| |
| | |
| 59edo (narrow down ZPIs)
| |
| * 93edt
| |
| * 166ed7
| |
| * 203ed11
| |
| * 7-limit WE (20.301c)
| |
| * 11-limit WE (20.310c)
| |
| * 13-limit WE (20.320c)
| |
| * 293zpi (20.454c)
| |
| * 294zpi (20.399c)
| |
| * 295zpi (20.342c)
| |
| * 296zpi (20.282c)
| |
| * 297zpi (20.229c)
| |
| | |
| 64edo (narrow down ZPIs)
| |
| * 149ed5
| |
| * 180ed7
| |
| * 222ed11
| |
| * 47ed5/3
| |
| * 11-limit WE (18.755c)
| |
| * 13-limit WE (18.752c)
| |
| * 325zpi (18.868c)
| |
| * 326zpi (18.816c)
| |
| * 327zpi (18.767c)
| |
| * 328zpi (18.721c)
| |
| * 329zpi (18.672c)
| |
| * 330zpi (18.630c)
| |
| | |
| 103edo (narrow down edonoi, choose ZPIS)
| |
| * 163edt
| |
| * 239ed5
| |
| * 289ed7
| |
| * 356ed11
| |
| * 381ed13
| |
| * 421ed17
| |
| * 466ed23
| |
| * 13-limit WE (11.658c)
| |
| * Best nearby ZPI(s)
| |
| | |
| 118edo (choose ZPIS)
| |
| * 187edt
| |
| * 69edf
| |
| * 13-limit WE (10.171c)
| |
| * Best nearby ZPI(s)
| |
| | |
| 152edo (choose ZPIS)
| |
| * 241edt
| |
| * 13-limit WE (7.894c)
| |
| * Best nearby ZPI(s)
| |
| | |
| ; Low priority
| |
| | |
| 111edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 125edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 145edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 159edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 166edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 182edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 198edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 212edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 243edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 247edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| ; Optional
| |
| | |
| 25edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 26edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 29edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 30edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 34edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 35edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 36edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 37edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 5edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 6edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 9edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 10edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 11edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 15edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 18edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 48edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 20edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 24edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
| | |
| 28edo
| |
| * Nearby edt, ed6, ed12 and/or edf
| |
| * Nearby ed5, ed10, ed7 and/or ed11 (optional)
| |
| * 1-2 WE tunings
| |
| * Best nearby ZPI(s)
| |
Title1
Octave stretch or compression
Having a flat tendency, 16et is best tuned with stretched octaves, which improve the accuracy of wide-voiced JI chords and rooted harmonics especially on inharmonic timbres such as bells and gamelan, with 37ed5 and 57ed12 being good options.
What follows is a comparison of stretched- and compressed-octave 16edo tunings.
- 16edo
- Step size: 75.000 ¢, octave size: 1200.0 ¢
Pure-octaves 16edo approximates all harmonics up to 16 within 36.7 ¢.
Approximation of harmonics in 16edo
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+0.0
|
-27.0
|
+0.0
|
-11.3
|
-27.0
|
+6.2
|
+0.0
|
+21.1
|
-11.3
|
-26.3
|
-27.0
|
Relative (%)
|
+0.0
|
-35.9
|
+0.0
|
-15.1
|
-35.9
|
+8.2
|
+0.0
|
+28.1
|
-15.1
|
-35.1
|
-35.9
|
Steps (reduced)
|
16 (0)
|
25 (9)
|
32 (0)
|
37 (5)
|
41 (9)
|
45 (13)
|
48 (0)
|
51 (3)
|
53 (5)
|
55 (7)
|
57 (9)
|
Approximation of harmonics in 16edo (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
-15.5
|
+6.2
|
+36.7
|
+0.0
|
-30.0
|
+21.1
|
+2.5
|
-11.3
|
-20.8
|
-26.3
|
-28.3
|
-27.0
|
Relative (%)
|
-20.7
|
+8.2
|
+49.0
|
+0.0
|
-39.9
|
+28.1
|
+3.3
|
-15.1
|
-27.7
|
-35.1
|
-37.7
|
-35.9
|
Steps (reduced)
|
59 (11)
|
61 (13)
|
63 (15)
|
64 (0)
|
65 (1)
|
67 (3)
|
68 (4)
|
69 (5)
|
70 (6)
|
71 (7)
|
72 (8)
|
73 (9)
|
- 16et, 2.5.7.13 WE tuning
- Step size: 75.105 ¢, octave size: 1201.7 ¢
Stretching the octave of 16edo by around 2 ¢ results in improved primes 3, 5, 11 and 13, but worse primes 2 and 7. This approximates all harmonics up to 16 within 31.8 ¢. Its 2.5.7.13 WE tuning and 2.5.7.13 TE tuning both do this.
Approximation of harmonics in 16et, 2.5.7.13 WE tuning
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+1.7
|
-24.3
|
+3.4
|
-7.4
|
-22.7
|
+10.9
|
+5.0
|
+26.4
|
-5.7
|
-20.5
|
-21.0
|
Relative (%)
|
+2.2
|
-32.4
|
+4.5
|
-9.9
|
-30.2
|
+14.5
|
+6.7
|
+35.2
|
-7.7
|
-27.4
|
-27.9
|
Step
|
16
|
25
|
32
|
37
|
41
|
45
|
48
|
51
|
53
|
55
|
57
|
Approximation of harmonics in 16et, 2.5.7.13 WE tuning (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
-9.3
|
+12.6
|
-31.8
|
+6.7
|
-23.1
|
+28.1
|
+9.6
|
-4.1
|
-13.4
|
-18.9
|
-20.7
|
-19.3
|
Relative (%)
|
-12.4
|
+16.7
|
-42.3
|
+8.9
|
-30.8
|
+37.4
|
+12.8
|
-5.4
|
-17.9
|
-25.1
|
-27.6
|
-25.7
|
Step
|
59
|
61
|
62
|
64
|
65
|
67
|
68
|
69
|
70
|
71
|
72
|
73
|
- 15zpi / 59ed13
- Step size: 75.262 ¢, octave size: 1204.2 ¢
Stretching the octave of 16edo by around 4 ¢ results in very improved primes 3, 5, 11 and 13, but much worse primes 2 and 7. This approximates all harmonics up to 16 within 34.5 ¢. The tunings 15zpi and 59ed13 do this.
Approximation of harmonics in 15zpi
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+4.2
|
-20.4
|
+8.4
|
-1.6
|
-16.2
|
+18.0
|
+12.6
|
+34.5
|
+2.6
|
-11.9
|
-12.0
|
Relative (%)
|
+5.6
|
-27.1
|
+11.1
|
-2.2
|
-21.5
|
+23.9
|
+16.7
|
+45.8
|
+3.4
|
-15.8
|
-16.0
|
Step
|
16
|
25
|
32
|
37
|
41
|
45
|
48
|
51
|
53
|
55
|
57
|
Approximation of harmonics in 15zpi (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
-0.1
|
+22.2
|
-22.0
|
+16.8
|
-12.9
|
-36.6
|
+20.3
|
+6.8
|
-2.4
|
-7.7
|
-9.4
|
-7.8
|
Relative (%)
|
-0.1
|
+29.4
|
-29.3
|
+22.3
|
-17.2
|
-48.7
|
+27.0
|
+9.0
|
-3.2
|
-10.3
|
-12.5
|
-10.4
|
Step
|
59
|
61
|
62
|
64
|
65
|
66
|
68
|
69
|
70
|
71
|
72
|
73
|
- 16et, 13-limit WE tuning / 37ed5
- Step size (WE 16et): 75.315 ¢, octave size (WE 16et): 1205.0 ¢
Stretching the octave of 16edo by around 5 ¢ results in very improved primes 3, 5, 11 and 13, but much worse primes 2 and 7. This approximates all harmonics up to 16 within 37.2 ¢. Its 13-limit WE tuning and 13-limit TE tuning both do this, so does the tuning 37ed5.
Approximation of harmonics in 16et, 13-limit WE tuning
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+5.0
|
-19.1
|
+10.1
|
+0.3
|
-14.0
|
+20.3
|
+15.1
|
+37.2
|
+5.4
|
-9.0
|
-9.0
|
Relative (%)
|
+6.7
|
-25.3
|
+13.4
|
+0.5
|
-18.6
|
+27.0
|
+20.1
|
+49.3
|
+7.1
|
-11.9
|
-11.9
|
Step
|
16
|
25
|
32
|
37
|
41
|
45
|
48
|
51
|
53
|
55
|
57
|
Approximation of harmonics in 16et, 13-limit WE tuning (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
+3.1
|
+25.4
|
-18.7
|
+20.2
|
-9.5
|
-33.1
|
+23.9
|
+10.4
|
+1.3
|
-4.0
|
-5.6
|
-4.0
|
Relative (%)
|
+4.1
|
+33.7
|
-24.9
|
+26.8
|
-12.6
|
-44.0
|
+31.7
|
+13.8
|
+1.7
|
-5.2
|
-7.4
|
-5.3
|
Step
|
59
|
61
|
62
|
64
|
65
|
66
|
68
|
69
|
70
|
71
|
72
|
73
|
Approximation of harmonics in 37ed5
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+4.9
|
-19.3
|
+9.8
|
+0.0
|
-14.4
|
+19.9
|
+14.7
|
+36.7
|
+4.9
|
-9.5
|
-9.5
|
Relative (%)
|
+6.5
|
-25.6
|
+13.0
|
+0.0
|
-19.1
|
+26.5
|
+19.5
|
+48.7
|
+6.5
|
-12.6
|
-12.6
|
Steps (reduced)
|
16 (16)
|
25 (25)
|
32 (32)
|
37 (0)
|
41 (4)
|
45 (8)
|
48 (11)
|
51 (14)
|
53 (16)
|
55 (18)
|
57 (20)
|
Approximation of harmonics in 37ed5 (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
+2.5
|
+24.8
|
-19.3
|
+19.6
|
-10.1
|
-33.7
|
+23.3
|
+9.8
|
+0.6
|
-4.6
|
-6.3
|
-4.6
|
Relative (%)
|
+3.3
|
+33.0
|
-25.6
|
+26.0
|
-13.4
|
-44.8
|
+30.9
|
+13.0
|
+0.8
|
-6.1
|
-8.3
|
-6.2
|
Steps (reduced)
|
59 (22)
|
61 (24)
|
62 (25)
|
64 (27)
|
65 (28)
|
66 (29)
|
68 (31)
|
69 (32)
|
70 (33)
|
71 (34)
|
72 (35)
|
73 (36)
|
- 57ed12 / 55ed11
- Step size (57ed12): 75.473 ¢, octave size (57ed12): 1207.6 ¢
Stretching the octave of 16edo by around 7.5 ¢ results in especially improved primes 3, 5 and 11, but far worse primes 2 and 7. This approximates all harmonics up to 16 within NNN ¢. The tunings 57ed12 and 55ed11 do this.
Approximation of harmonics in 57ed12
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+7.6
|
-15.1
|
+15.1
|
+6.2
|
-7.6
|
+27.5
|
+22.7
|
-30.3
|
+13.7
|
-0.3
|
+0.0
|
Relative (%)
|
+10.0
|
-20.1
|
+20.1
|
+8.2
|
-10.0
|
+36.4
|
+30.1
|
-40.1
|
+18.2
|
-0.4
|
+0.0
|
Steps (reduced)
|
16 (16)
|
25 (25)
|
32 (32)
|
37 (37)
|
41 (41)
|
45 (45)
|
48 (48)
|
50 (50)
|
53 (53)
|
55 (55)
|
57 (0)
|
Approximation of harmonics in 57ed12 (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
+12.4
|
+35.0
|
-8.9
|
+30.3
|
+0.8
|
-22.7
|
+34.6
|
+21.3
|
+12.3
|
+7.3
|
+5.8
|
+7.6
|
Relative (%)
|
+16.4
|
+46.4
|
-11.9
|
+40.1
|
+1.0
|
-30.1
|
+45.9
|
+28.2
|
+16.3
|
+9.6
|
+7.7
|
+10.0
|
Steps (reduced)
|
59 (2)
|
61 (4)
|
62 (5)
|
64 (7)
|
65 (8)
|
66 (9)
|
68 (11)
|
69 (12)
|
70 (13)
|
71 (14)
|
72 (15)
|
73 (16)
|
Approximation of harmonics in 55ed11
Harmonic
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
Error
|
Absolute (¢)
|
+7.7
|
-15.0
|
+15.3
|
+6.4
|
-7.3
|
+27.7
|
+23.0
|
-30.0
|
+14.0
|
+0.0
|
+0.3
|
Relative (%)
|
+10.1
|
-19.9
|
+20.3
|
+8.5
|
-9.7
|
+36.7
|
+30.4
|
-39.7
|
+18.6
|
+0.0
|
+0.4
|
Steps (reduced)
|
16 (16)
|
25 (25)
|
32 (32)
|
37 (37)
|
41 (41)
|
45 (45)
|
48 (48)
|
50 (50)
|
53 (53)
|
55 (0)
|
57 (2)
|
Approximation of harmonics in 55ed11 (continued)
Harmonic
|
13
|
14
|
15
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
23
|
24
|
Error
|
Absolute (¢)
|
+12.7
|
+35.4
|
-8.6
|
+30.6
|
+1.1
|
-22.3
|
+35.0
|
+21.7
|
+12.7
|
+7.7
|
+6.2
|
+8.0
|
Relative (%)
|
+16.8
|
+46.9
|
-11.4
|
+40.6
|
+1.5
|
-29.6
|
+46.4
|
+28.8
|
+16.8
|
+10.1
|
+8.2
|
+10.6
|
Steps (reduced)
|
59 (4)
|
61 (6)
|
62 (7)
|
64 (9)
|
65 (10)
|
66 (11)
|
68 (13)
|
69 (14)
|
70 (15)
|
71 (16)
|
72 (17)
|
73 (18)
|
Title2
Placeholder