User:BudjarnLambeth/Sooty fox scale: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,276 edits
mNo edit summary
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,276 edits
mNo edit summary
Line 10: Line 10:
* 4syfx = A pretty good [[dual-n|dual-5]] [[29-limit]] tuning
* 4syfx = A pretty good [[dual-n|dual-5]] [[29-limit]] tuning
* '''5syfx = An excellent [[5-limit]] tuning''', can be extended to an okay dual-7, [[dual-n|dual-11]] 17-limit tuning
* '''5syfx = An excellent [[5-limit]] tuning''', can be extended to an okay dual-7, [[dual-n|dual-11]] 17-limit tuning
* '''6syfx = An excellent full [[89-limit]] tuning!'''
* '''6syfx = An excellent full [[79-limit]] tuning!'''
* 7syfx = ''(poor JI approximation)''
* 7syfx = ''(poor JI approximation)''
* 8syfx = An okay [[dual-fifth|dual-3]] [[13-limit]] tuning
* 8syfx = An okay [[dual-fifth|dual-3]] [[13-limit]] tuning

Revision as of 21:35, 26 October 2024

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

A sooty fox scale[idiosyncratic term] (ed343/338 or syfx[idiosyncratic term]) is an equal-step tuning in which 343/338 is justly tuned and is divided in a given number of equal steps.

This type of scale is named after the Aleutian sooty fox sparrow, taxa #343388 on iNaturalist.

A quick overview of the sooty fox scales:

  • 1syfx = An okay dual-7 17-limit tuning
  • 2syfx = (poor JI approximation)
  • 3syfx = (poor JI approximation)
  • 4syfx = A pretty good dual-5 29-limit tuning
  • 5syfx = An excellent 5-limit tuning, can be extended to an okay dual-7, dual-11 17-limit tuning
  • 6syfx = An excellent full 79-limit tuning!
  • 7syfx = (poor JI approximation)
  • 8syfx = An okay dual-3 13-limit tuning
  • 9syfx = An okay full 13-limit tuning
  • 10syfx = An excellent full 47-limit tuning!
  • 11syfx = An okay full 41-limit tuning
  • 12syfx = An okay dual-2, dual-11 41-limit tuning


The first sooty fox scale

← 0ed343/338 1ed343/338 2ed343/338 →
Prime factorization n/a
Step size 25.4224 ¢ 
Octave 47\1ed343/338 (1194.85 ¢)
Twelfth 75\1ed343/338 (1906.68 ¢)
Consistency limit 3
Distinct consistency limit 3

1ed343/338 or 1syfx for short.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 25.4
2 50.8 31/30
3 76.3
4 101.7 18/17
5 127.1 14/13
6 152.5 12/11, 23/21
7 178 10/9, 21/19, 31/28
8 203.4
9 228.8
10 254.2
11 279.6 20/17, 27/23
12 305.1 25/21, 31/26
13 330.5 17/14, 23/19, 29/24
14 355.9
15 381.3
16 406.7 19/15
17 432.2 9/7
18 457.6 13/10, 30/23
19 483 29/22
20 508.4
21 533.9 19/14
22 559.3 18/13
23 584.7 7/5
24 610.1 27/19
25 635.5 13/9
26 661 19/13
27 686.4
28 711.8
29 737.2 23/15, 26/17
30 762.6 14/9, 31/20
31 788.1 30/19
32 813.5
33 838.9
34 864.3 23/14, 28/17
35 889.8 5/3
36 915.2 17/10
37 940.6 31/18
38 966
39 991.4 23/13
40 1016.9 9/5
41 1042.3 31/17
42 1067.7 13/7
43 1093.1
44 1118.5
45 1144
46 1169.4
47 1194.8 2/1

Harmonics

Approximation of harmonics in 1syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -5.1 +4.7 +10.1 +12.4 -7.5 +8.4 +1.6 +12.4 +12.1 -7.8 +3.8
Relative (%) -20.2 +18.6 +39.9 +48.6 -29.4 +33.0 +6.2 +48.7 +47.7 -30.9 +15.0
Step 47 75 110 133 163 175 193 201 214 229 234
1syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.6 +2.8 -3.4 -4.8 -9.5 +8.3 +1.4 -8.5 -7.2 -4.4 +11.3
Relative (%) +10.1 +11.0 -13.3 -19.0 -37.2 +32.5 +5.5 -33.4 -28.3 -17.5 +44.6
Step 246 253 256 262 270 278 280 286 290 292 298


47edo, 75edt, 28edf for comparison:

Approximation of prime harmonics in 47edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0 -12.6 -3.3 +1.4 +10.4 +2.0 -2.8 +8.9 +10.0 -8.3 +3.9
Relative (%) +0.0 -49.3 -13.1 +5.4 +40.7 +7.9 -11.1 +34.7 +39.3 -32.5 +15.3
Steps
(reduced) 		47
(0) 		74
(27) 		109
(15) 		132
(38) 		163
(22) 		174
(33) 		192
(4) 		200
(12) 		213
(25) 		228
(40) 		233
(45)
47edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +4.0 +5.0 -0.9 -1.7 -5.4 -12.4 +6.5 -2.7 -1.0 +2.0 -7.1
Relative (%) +15.6 +19.5 -3.4 -6.6 -21.2 -48.4 +25.5 -10.6 -3.8 +7.8 -27.8
Steps
(reduced) 		245
(10) 		252
(17) 		255
(20) 		261
(26) 		269
(34) 		276
(41) 		279
(44) 		285
(3) 		289
(7) 		291
(9) 		296
(14)
Approximation of prime harmonics in 75edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -8.1 +0.0 +3.2 +4.0 +7.6 -2.6 -10.6 -0.3 -1.4 +3.1 -10.9
Relative (%) -32.0 +0.0 +12.7 +15.7 +30.1 -10.4 -41.8 -1.1 -5.4 +12.2 -43.1
Steps
(reduced) 		47
(47) 		75
(0) 		110
(35) 		133
(58) 		164
(14) 		175
(25) 		193
(43) 		201
(51) 		214
(64) 		230
(5) 		234
(9)
75edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +12.4 +12.2 +5.8 +4.0 -1.1 -9.3 +9.1 -1.2 -0.1 +2.5 -7.4
Relative (%) +49.0 +48.2 +23.1 +15.8 -4.4 -36.5 +35.9 -4.6 -0.4 +9.9 -29.3
Steps
(reduced) 		247
(22) 		254
(29) 		257
(32) 		263
(38) 		271
(46) 		278
(53) 		281
(56) 		287
(62) 		291
(66) 		293
(68) 		298
(73)
Approximation of prime harmonics in 28edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +3.4 +3.4 -3.6 -9.5 +10.3 -3.2 +8.7 -8.3 +11.9 +11.7 -3.5
Relative (%) +13.4 +13.4 -14.2 -37.8 +41.0 -12.6 +34.8 -33.3 +47.4 +46.6 -13.9
Steps
(reduced) 		48
(20) 		76
(20) 		111
(27) 		134
(22) 		166
(26) 		177
(9) 		196
(0) 		203
(7) 		217
(21) 		233
(9) 		237
(13)
28edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -9.0 -11.2 +6.6 +3.1 -4.4 +10.5 +2.9 -9.1 -9.2 -7.1 +6.5
Relative (%) -35.7 -44.6 +26.5 +12.2 -17.4 +42.0 +11.7 -36.1 -36.6 -28.4 +26.1
Steps
(reduced) 		249
(25) 		256
(4) 		260
(8) 		266
(14) 		274
(22) 		282
(2) 		284
(4) 		290
(10) 		294
(14) 		296
(16) 		302
(22)


The second sooty fox scale

← 1ed343/338 2ed343/338 3ed343/338 →
Prime factorization 2 (prime) (highly composite)
Step size 12.7112 ¢ 
Octave 94\2ed343/338 (1194.85 ¢) (→ 47\1ed343/338)
Twelfth 150\2ed343/338 (1906.68 ¢) (→ 75\1ed343/338)
Consistency limit 2
Distinct consistency limit 2

2ed343/338 or 2syfx for short.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 12.7
2 25.4
3 38.1 43/42
4 50.8 35/34, 36/35
5 63.6
6 76.3 23/22
7 89 39/37, 41/39
8 101.7
9 114.4 31/29
10 127.1 14/13
11 139.8 13/12, 38/35
12 152.5
13 165.2
14 178 41/37
15 190.7 19/17
16 203.4
17 216.1 17/15, 43/38
18 228.8
19 241.5
20 254.2 22/19
21 266.9 7/6
22 279.6
23 292.3
24 305.1 37/31, 43/36
25 317.8 6/5
26 330.5 23/19
27 343.2
28 355.9 43/35
29 368.6
30 381.3
31 394
32 406.7 19/15, 43/34
33 419.5 37/29
34 432.2
35 444.9 22/17
36 457.6 30/23
37 470.3
38 483 41/31
39 495.7
40 508.4
41 521.1 23/17
42 533.9 34/25
43 546.6
44 559.3 29/21
45 572
46 584.7 7/5
47 597.4 41/29
48 610.1
49 622.8 43/30
50 635.5
51 648.3
52 661 22/15
53 673.7 31/21
54 686.4
55 699.1
56 711.8
57 724.5 35/23, 38/25
58 737.2
59 749.9
60 762.6
61 775.4 36/23
62 788.1
63 800.8
64 813.5
65 826.2 29/18
66 838.9
67 851.6 18/11
68 864.3
69 877
70 889.8
71 902.5 37/22
72 915.2 39/23
73 927.9
74 940.6 31/18, 43/25
75 953.3
76 966
77 978.7 37/21
78 991.4 39/22
79 1004.2 25/14
80 1016.9
81 1029.6
82 1042.3 31/17, 42/23
83 1055 35/19
84 1067.7
85 1080.4
86 1093.1
87 1105.8 36/19
88 1118.5 21/11
89 1131.3 25/13
90 1144 29/15
91 1156.7 41/21
92 1169.4
93 1182.1
94 1194.8

Harmonics

Approximation of harmonics in 2syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -5.15 +4.72 -2.56 -0.36 +5.24 -4.32 +1.57 -0.32 -0.59 +4.86 +3.81
Relative (%) -40.5 +37.2 -20.2 -2.8 +41.3 -34.0 +12.3 -2.5 -4.7 +38.3 +29.9
Steps
(reduced) 		94
(0) 		150
(0) 		219
(1) 		265
(1) 		327
(1) 		349
(1) 		386
(0) 		401
(1) 		427
(1) 		459
(1) 		468
(0)
2syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.57 +2.80 -3.38 -4.84 +3.25 -4.46 +1.39 +4.21 +5.51 -4.45 -1.37
Relative (%) +20.2 +22.1 -26.6 -38.1 +25.6 -35.1 +10.9 +33.1 +43.3 -35.0 -10.8
Steps
(reduced) 		492
(0) 		506
(0) 		512
(0) 		524
(0) 		541
(1) 		555
(1) 		560
(0) 		573
(1) 		581
(1) 		584
(0) 		595
(1)


94edo, 150edt, 55edf, for comparison:

Approximation of prime harmonics in 94edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.17 -3.33 +1.39 -2.38 +2.03 -2.83 -3.90 -2.74 +4.47 +3.90
Relative (%) +0.0 +1.4 -26.1 +10.9 -18.7 +15.9 -22.2 -30.5 -21.5 +35.0 +30.6
Steps
(reduced) 		94
(0) 		149
(55) 		218
(30) 		264
(76) 		325
(43) 		348
(66) 		384
(8) 		399
(23) 		425
(49) 		457
(81) 		466
(90)
94edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +3.98 +4.98 -0.88 -1.68 -5.42 +0.40 -6.25 -2.71 -0.97 +2.00 +5.68
Relative (%) +31.1 +39.0 -6.9 -13.1 -42.5 +3.2 -48.9 -21.2 -7.6 +15.6 +44.5
Steps
(reduced) 		490
(20) 		504
(34) 		510
(40) 		522
(52) 		538
(68) 		553
(83) 		557
(87) 		570
(6) 		578
(14) 		582
(18) 		593
(29)
Approximation of prime harmonics in 150edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +4.57 +0.00 +3.22 +3.97 -5.06 -2.63 +2.09 -0.27 -1.36 +3.08 +1.74
Relative (%) +36.1 +0.0 +25.4 +31.3 -39.9 -20.8 +16.5 -2.2 -10.7 +24.3 +13.8
Steps
(reduced) 		95
(95) 		150
(0) 		220
(70) 		266
(116) 		327
(27) 		350
(50) 		387
(87) 		402
(102) 		428
(128) 		460
(10) 		469
(19)
150edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.25 -0.45 +5.85 +4.02 -1.11 +3.42 -3.57 -1.16 -0.11 +2.51 +5.24
Relative (%) -2.0 -3.6 +46.1 +31.7 -8.7 +27.0 -28.2 -9.1 -0.9 +19.8 +41.4
Steps
(reduced) 		493
(43) 		507
(57) 		514
(64) 		526
(76) 		542
(92) 		557
(107) 		561
(111) 		574
(124) 		582
(132) 		586
(136) 		597
(147)
Approximation of prime harmonics in 55edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.30 -0.30 -4.02 +0.56 -3.40 +0.93 -4.03 -5.15 -4.08 +3.03 +2.44
Relative (%) -2.3 -2.3 -31.5 +4.4 -26.7 +7.3 -31.6 -40.3 -31.9 +23.7 +19.1
Steps
(reduced) 		94
(39) 		149
(39) 		218
(53) 		264
(44) 		325
(50) 		348
(18) 		384
(54) 		399
(14) 		425
(40) 		457
(17) 		466
(26)
55edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.44 +3.40 -2.48 -3.32 +5.65 -1.33 +4.77 -4.50 -2.79 +0.17 +3.81
Relative (%) +19.1 +26.6 -19.4 -26.0 +44.3 -10.4 +37.4 -35.3 -21.8 +1.3 +29.9
Steps
(reduced) 		490
(50) 		504
(9) 		510
(15) 		522
(27) 		539
(44) 		553
(3) 		558
(8) 		570
(20) 		578
(28) 		582
(32) 		593
(43)


The third sooty fox scale

← 2ed343/338 3ed343/338 4ed343/338 →
Prime factorization 3 (prime)
Step size 8.47413 ¢ 
Octave 142\3ed343/338 (1203.33 ¢)
Twelfth 224\3ed343/338 (1898.21 ¢)
(semiconvergent)
Consistency limit 2
Distinct consistency limit 2

3ed343/338 or 3syfx for short.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 8.5
2 16.9
3 25.4
4 33.9 50/49
5 42.4 42/41
6 50.8 35/34
7 59.3 30/29
8 67.8 26/25
9 76.3 23/22
10 84.7
11 93.2
12 101.7 52/49
13 110.2 49/46
14 118.6
15 127.1
16 135.6
17 144.1 25/23
18 152.5
19 161 34/31
20 169.5 43/39
21 178 41/37
22 186.4 49/44
23 194.9 47/42
24 203.4
25 211.9 26/23
26 220.3 25/22, 42/37
27 228.8
28 237.3 47/41
29 245.8
30 254.2 22/19
31 262.7
32 271.2 55/47
33 279.7
34 288.1 13/11
35 296.6 51/43
36 305.1 31/26, 37/31
37 313.6
38 322
39 330.5 23/19
40 339
41 347.4
42 355.9
43 364.4 21/17, 37/30
44 372.9 31/25, 36/29
45 381.3
46 389.8
47 398.3
48 406.8
49 415.2 47/37
50 423.7
51 432.2
52 440.7 49/38
53 449.1
54 457.6 43/33
55 466.1 55/42
56 474.6 25/19, 46/35
57 483 41/31
58 491.5
59 500
60 508.5 55/41
61 516.9 31/23
62 525.4 42/31
63 533.9 34/25
64 542.4 26/19, 41/30
65 550.8
66 559.3 29/21, 47/34
67 567.8
68 576.3
69 584.7
70 593.2 31/22
71 601.7 17/12
72 610.2 37/26
73 618.6 10/7
74 627.1
75 635.6
76 644.1
77 652.5 35/24
78 661
79 669.5
80 677.9 34/23, 37/25
81 686.4 52/35, 55/37
82 694.9
83 703.4
84 711.8
85 720.3 47/31
86 728.8
87 737.3
88 745.7
89 754.2 17/11
90 762.7
91 771.2
92 779.6
93 788.1 41/26
94 796.6 19/12
95 805.1 35/22
96 813.5
97 822 37/23
98 830.5 21/13
99 839
100 847.4 31/19
101 855.9 41/25
102 864.4
103 872.9
104 881.3
105 889.8
106 898.3 42/25
107 906.8
108 915.2
109 923.7 29/17
110 932.2 12/7
111 940.7
112 949.1
113 957.6
114 966.1
115 974.6
116 983 30/17
117 991.5 55/31
118 1000 41/23
119 1008.4 34/19
120 1016.9
121 1025.4 47/26
122 1033.9
123 1042.3 42/23
124 1050.8 11/6
125 1059.3
126 1067.8
127 1076.2 41/22
128 1084.7
129 1093.2 47/25
130 1101.7
131 1110.1 19/10
132 1118.6 21/11
133 1127.1 23/12
134 1135.6
135 1144
136 1152.5 37/19
137 1161
138 1169.5
139 1177.9
140 1186.4
141 1194.9
142 1203.4

Harmonics

Approximation of harmonics in 3syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +3.33 -3.75 +1.68 +3.88 +1.01 -0.08 +1.57 +3.91 +3.64 +0.63 +3.81
Relative (%) +39.3 -44.2 +19.8 +45.8 +11.9 -1.0 +18.5 +46.2 +43.0 +7.4 +44.9
Steps
(reduced) 		142
(1) 		224
(2) 		329
(2) 		398
(2) 		490
(1) 		524
(2) 		579
(0) 		602
(2) 		641
(2) 		688
(1) 		702
(0)
3syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.57 +2.80 -3.38 +3.64 -0.98 -0.22 +1.39 -0.03 +1.27 +4.02 +2.86
Relative (%) +30.3 +33.1 -39.9 +42.9 -11.6 -2.6 +16.4 -0.3 +15.0 +47.5 +33.8
Steps
(reduced) 		738
(0) 		759
(0) 		768
(0) 		787
(1) 		811
(1) 		833
(2) 		840
(0) 		859
(1) 		871
(1) 		877
(1) 		893
(2)


142edo, 224edt, 83edf for comparison:

Approximation of prime harmonics in 142edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.55 +2.42 +3.01 -2.02 -3.91 -3.55 -1.74 -2.92 +1.41 -4.19
Relative (%) +0.0 -6.5 +28.6 +35.6 -23.9 -46.2 -42.0 -20.6 -34.6 +16.7 -49.6
Steps
(reduced) 		142
(0) 		225
(83) 		330
(46) 		399
(115) 		491
(65) 		525
(99) 		580
(12) 		603
(35) 		642
(74) 		690
(122) 		703
(135)
142edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.18 +1.92 +3.98 +2.10 -3.08 -2.83 -1.39 -3.25 -2.23 +0.38 -1.16
Relative (%) +25.8 +22.8 +47.0 +24.8 -36.5 -33.5 -16.5 -38.5 -26.4 +4.5 -13.7
Steps
(reduced) 		740
(30) 		761
(51) 		771
(61) 		789
(79) 		813
(103) 		835
(125) 		842
(132) 		861
(9) 		873
(21) 		879
(27) 		895
(43)
Approximation of prime harmonics in 224edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -2.79 +0.00 -1.31 +2.05 +0.72 +0.20 +2.77 -2.99 -2.61 +3.65 -1.43
Relative (%) -32.8 +0.0 -15.4 +24.1 +8.5 +2.3 +32.6 -35.2 -30.7 +43.0 -16.8
Steps
(reduced) 		141
(141) 		224
(0) 		328
(104) 		397
(173) 		489
(41) 		523
(75) 		578
(130) 		600
(152) 		639
(191) 		687
(15) 		700
(28)
224edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -2.06 -1.47 +0.98 -0.17 +4.10 -3.26 -1.54 -2.63 -1.13 +1.72 +0.83
Relative (%) -24.3 -17.4 +11.5 -2.0 +48.3 -38.4 -18.1 -31.0 -13.3 +20.3 +9.8
Steps
(reduced) 		736
(64) 		757
(85) 		767
(95) 		785
(113) 		810
(138) 		831
(159) 		838
(166) 		857
(185) 		869
(197) 		875
(203) 		891
(219)
Approximation of prime harmonics in 83edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.94 +0.94 -3.87 -2.82 +1.21 -0.45 +0.27 +2.23 +1.31 -2.50 +0.44
Relative (%) +11.1 +11.1 -45.7 -33.4 +14.3 -5.3 +3.2 +26.4 +15.4 -29.6 +5.2
Steps
(reduced) 		142
(59) 		225
(59) 		329
(80) 		398
(66) 		491
(76) 		525
(27) 		580
(82) 		603
(22) 		642
(61) 		689
(25) 		703
(39)
83edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.41 -1.52 +0.59 -1.16 +2.27 +2.66 +4.15 +2.42 +3.52 -2.29 -3.72
Relative (%) -16.6 -18.0 +7.0 -13.7 +26.9 +31.5 +49.1 +28.6 +41.6 -27.1 -44.0
Steps
(reduced) 		739
(75) 		760
(13) 		770
(23) 		788
(41) 		813
(66) 		835
(5) 		842
(12) 		861
(31) 		873
(43) 		878
(48) 		894
(64)


The fourth sooty fox scale

← 3ed343/338 4ed343/338 5ed343/338 →
Prime factorization 22 (highly composite)
Step size 6.3556 ¢ 
Octave 189\4ed343/338 (1201.21 ¢)
(convergent)
Twelfth 299\4ed343/338 (1900.32 ¢)
(semiconvergent)
Consistency limit 3
Distinct consistency limit 3

4ed343/338 or 4syfx for short.

Harmonics

Approximation of harmonics in 4syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.21 -1.63 -2.56 -0.36 -1.11 +2.04 +1.57 -0.32 -0.59 -1.49 -2.55
Relative (%) +19.0 -25.7 -40.3 -5.6 -17.5 +32.0 +24.7 -5.1 -9.3 -23.5 -40.1
Steps
(reduced) 		189
(1) 		299
(3) 		438
(2) 		530
(2) 		653
(1) 		699
(3) 		772
(0) 		802
(2) 		854
(2) 		917
(1) 		935
(3)
4syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.57 +2.80 +2.97 +1.52 -3.10 +1.90 +1.39 -2.15 -0.85 +1.91 -1.37
Relative (%) +40.4 +44.1 +46.7 +23.9 -48.8 +29.9 +21.8 -33.8 -13.3 +30.0 -21.6
Steps
(reduced) 		984
(0) 		1012
(0) 		1025
(1) 		1049
(1) 		1081
(1) 		1111
(3) 		1120
(0) 		1145
(1) 		1161
(1) 		1169
(1) 		1190
(2)


189edo, 299edt, 110edf for comparison:

Approximation of prime harmonics in 189edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +2.81 +0.99 +2.60 +1.06 -2.43 +2.98 +0.90 +0.30 -1.01 -2.18
Relative (%) +0.0 +44.2 +15.6 +41.0 +16.7 -38.3 +47.0 +14.2 +4.7 -15.8 -34.3
Steps
(reduced) 		189
(0) 		300
(111) 		439
(61) 		531
(153) 		654
(87) 		699
(132) 		773
(17) 		803
(47) 		855
(99) 		918
(162) 		936
(180)
189edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.62 +2.68 +2.77 +1.16 +2.69 +1.15 +0.58 -3.12 -1.92 +0.78 -2.63
Relative (%) +41.3 +42.3 +43.6 +18.3 +42.3 +18.0 +9.1 -49.1 -30.2 +12.3 -41.5
Steps
(reduced) 		985
(40) 		1013
(68) 		1026
(81) 		1050
(105) 		1083
(138) 		1112
(167) 		1121
(176) 		1146
(12) 		1162
(28) 		1170
(36) 		1191
(57)
Approximation of prime harmonics in 299edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +2.24 +0.00 -0.17 +2.53 +2.45 -0.51 -0.58 -2.31 -2.30 -2.85 +2.55
Relative (%) +35.2 +0.0 -2.7 +39.8 +38.5 -8.1 -9.2 -36.3 -36.1 -44.8 +40.1
Steps
(reduced) 		189
(189) 		299
(0) 		438
(139) 		530
(231) 		653
(55) 		698
(100) 		771
(173) 		801
(203) 		853
(255) 		916
(19) 		935
(38)
299edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +1.57 +1.96 +2.20 +0.88 +2.79 +1.60 +1.13 -2.26 -0.87 +1.92 -1.24
Relative (%) +24.7 +30.9 +34.6 +13.8 +43.9 +25.1 +17.8 -35.6 -13.7 +30.2 -19.6
Steps
(reduced) 		983
(86) 		1011
(114) 		1024
(127) 		1048
(151) 		1081
(184) 		1110
(213) 		1119
(222) 		1144
(247) 		1160
(263) 		1168
(271) 		1189
(292)
Approximation of prime harmonics in 110edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.30 -0.30 +2.36 +0.56 +2.98 +0.93 +2.35 +1.23 +2.30 +3.03 +2.44
Relative (%) -4.6 -4.6 +37.0 +8.7 +46.7 +14.6 +36.8 +19.3 +36.1 +47.5 +38.2
Steps
(reduced) 		188
(78) 		298
(78) 		437
(107) 		528
(88) 		651
(101) 		696
(36) 		769
(109) 		799
(29) 		851
(81) 		914
(34) 		932
(52)
110edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +2.44 -2.98 -2.48 +3.07 -0.73 -1.33 -1.61 +1.88 -2.79 +0.17 -2.57
Relative (%) +38.2 -46.8 -38.9 +48.0 -11.4 -20.9 -25.3 +29.5 -43.7 +2.7 -40.2
Steps
(reduced) 		980
(100) 		1007
(17) 		1020
(30) 		1045
(55) 		1077
(87) 		1106
(6) 		1115
(15) 		1141
(41) 		1156
(56) 		1164
(64) 		1185
(85)


The fifth sooty fox scale

← 4ed343/338 5ed343/338 6ed343/338 →
Prime factorization 5 (prime)
Step size 5.08448 ¢ 
Octave 236\5ed343/338 (1199.94 ¢)
(convergent)
Twelfth 374\5ed343/338 (1901.6 ¢)
(convergent)
Consistency limit 6
Distinct consistency limit 6

5ed343/338 or 5syfx for short.

Harmonics

Approximation of harmonics in 5syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.06 -0.36 -0.02 +2.18 -2.38 -1.78 +1.57 +2.22 +1.95 +2.32 -1.28
Relative (%) -1.2 -7.1 -0.4 +43.0 -46.9 -35.0 +30.8 +43.7 +38.3 +45.6 -25.2
Steps
(reduced) 		236
(1) 		374
(4) 		548
(3) 		663
(3) 		816
(1) 		873
(3) 		965
(0) 		1003
(3) 		1068
(3) 		1147
(2) 		1169
(4)
5syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -2.52 -2.28 +1.70 +0.25 +0.71 -1.91 +1.39 +1.67 -2.12 +0.63 +1.17
Relative (%) -49.5 -44.9 +33.4 +4.8 +14.0 -37.7 +27.3 +32.8 -41.6 +12.5 +23.0
Steps
(reduced) 		1229
(4) 		1264
(4) 		1281
(1) 		1311
(1) 		1352
(2) 		1388
(3) 		1400
(0) 		1432
(2) 		1451
(1) 		1461
(1) 		1488
(3)


236edo, 374edt, 138edf for comparison:

Approximation of prime harmonics in 236edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.26 +0.13 +2.36 -2.17 -1.54 +1.82 +2.49 +2.23 -2.46 -0.97
Relative (%) +0.0 -5.1 +2.5 +46.4 -42.6 -30.4 +35.9 +48.9 +43.9 -48.4 -19.0
Steps
(reduced) 		236
(0) 		374
(138) 		548
(76) 		663
(191) 		816
(108) 		873
(165) 		965
(21) 		1003
(59) 		1068
(124) 		1146
(202) 		1169
(225)
236edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -2.19 -1.94 +2.04 +0.60 +1.07 -1.54 +1.76 +2.05 -1.73 +1.02 +1.56
Relative (%) -43.1 -38.2 +40.2 +11.7 +21.1 -30.4 +34.6 +40.3 -34.0 +20.1 +30.8
Steps
(reduced) 		1229
(49) 		1264
(84) 		1281
(101) 		1311
(131) 		1352
(172) 		1388
(208) 		1400
(220) 		1432
(16) 		1451
(35) 		1461
(45) 		1488
(72)
Approximation of prime harmonics in 374edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.16 +0.00 +0.51 -2.26 -1.60 -0.94 +2.50 -1.90 -2.11 -1.66 -0.15
Relative (%) +3.2 +0.0 +10.0 -44.5 -31.4 -18.4 +49.1 -37.4 -41.5 -32.7 -3.0
Steps
(reduced) 		236
(236) 		374
(0) 		548
(174) 		662
(288) 		816
(68) 		873
(125) 		965
(217) 		1002
(254) 		1067
(319) 		1146
(24) 		1169
(47)
374edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.34 -1.06 -2.15 +1.51 +2.01 -0.58 -2.35 -2.04 -0.72 +2.04 -2.49
Relative (%) -26.3 -20.9 -42.3 +29.6 +39.6 -11.4 -46.3 -40.1 -14.2 +40.1 -48.9
Steps
(reduced) 		1229
(107) 		1264
(142) 		1280
(158) 		1311
(189) 		1352
(230) 		1388
(266) 		1399
(277) 		1431
(309) 		1451
(329) 		1461
(339) 		1487
(365)
Approximation of prime harmonics in 138edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.44 +0.44 +1.16 -1.48 -0.63 +0.10 -1.44 -0.71 -0.84 -0.30 +1.24
Relative (%) +8.7 +8.7 +22.8 -29.0 -12.3 +2.0 -28.4 -13.9 -16.5 -5.9 +24.3
Steps
(reduced) 		236
(98) 		374
(98) 		548
(134) 		662
(110) 		816
(126) 		873
(45) 		964
(136) 		1002
(36) 		1067
(101) 		1146
(42) 		1169
(65)
138edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.12 +0.44 -0.63 -2.02 -1.47 +1.07 -0.69 -0.34 +1.00 -1.31 -0.72
Relative (%) +2.5 +8.6 -12.4 -39.7 -28.8 +21.1 -13.5 -6.7 +19.7 -25.7 -14.1
Steps
(reduced) 		1229
(125) 		1264
(22) 		1280
(38) 		1310
(68) 		1351
(109) 		1388
(8) 		1399
(19) 		1431
(51) 		1451
(71) 		1460
(80) 		1487
(107)


The sixth sooty fox scale

← 5ed343/338 6ed343/338 7ed343/338 →
Prime factorization 2 × 3 (highly composite)
Step size 4.23707 ¢ 
Octave 283\6ed343/338 (1199.09 ¢)
Twelfth 449\6ed343/338 (1902.44 ¢)
(semiconvergent)
Consistency limit 3
Distinct consistency limit 3

6ed343/338 or 6syfx for short.

Harmonics

Approximation of harmonics in 6syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.91 +0.49 +1.68 -0.36 +1.01 -0.08 +1.57 -0.32 -0.59 +0.63 -0.43
Relative (%) -21.5 +11.5 +39.5 -8.5 +23.8 -1.9 +37.0 -7.6 -14.0 +14.8 -10.2
Steps
(reduced) 		283
(1) 		449
(5) 		658
(4) 		795
(3) 		980
(2) 		1048
(4) 		1158
(0) 		1203
(3) 		1281
(3) 		1376
(2) 		1403
(5)
6syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.67 -1.43 +0.85 -0.60 -0.98 -0.22 +1.39 -0.03 +1.27 -0.21 -1.37
Relative (%) -39.5 -33.8 +20.1 -14.2 -23.2 -5.2 +32.7 -0.7 +30.0 -5.0 -32.4
Steps
(reduced) 		1475
(5) 		1517
(5) 		1537
(1) 		1573
(1) 		1622
(2) 		1666
(4) 		1680
(0) 		1718
(2) 		1742
(2) 		1753
(1) 		1785
(3)


283edo, 449edt, 166edf for comparison:

Approximation of prime harmonics in 283edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +1.93 -0.45 -2.04 -0.08 -0.95 +1.05 -0.69 -0.71 +0.81 -0.16
Relative (%) +0.0 +45.6 -10.6 -48.1 -1.9 -22.4 +24.8 -16.3 -16.8 +19.1 -3.8
Steps
(reduced) 		283
(0) 		449
(166) 		657
(91) 		794
(228) 		979
(130) 		1047
(198) 		1157
(25) 		1202
(70) 		1280
(148) 		1375
(243) 		1402
(270)
283edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.17 -0.79 +1.56 +0.22 -0.01 +0.90 -1.69 +1.26 -1.60 +1.19 +0.13
Relative (%) -27.5 -18.7 +36.7 +5.1 -0.1 +21.2 -39.9 +29.7 -37.8 +28.0 +3.0
Steps
(reduced) 		1474
(59) 		1516
(101) 		1536
(121) 		1572
(157) 		1621
(206) 		1665
(250) 		1678
(263) 		1717
(19) 		1740
(42) 		1752
(54) 		1784
(86)
Approximation of prime harmonics in 449edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -1.22 +0.00 +0.96 -1.22 -0.06 -1.22 +0.31 -1.63 -1.98 -0.87 -1.96
Relative (%) -28.7 +0.0 +22.7 -28.8 -1.4 -28.8 +7.3 -38.5 -46.8 -20.5 -46.2
Steps
(reduced) 		283
(283) 		449
(0) 		658
(209) 		795
(346) 		980
(82) 		1048
(150) 		1158
(260) 		1203
(305) 		1281
(383) 		1376
(29) 		1403
(56)
449edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.96 +1.16 -0.82 +1.93 +1.49 -2.03 -0.44 -1.89 -0.62 -2.12 +0.92
Relative (%) +22.7 +27.3 -19.3 +45.5 +35.2 -47.9 -10.4 -44.7 -14.6 -50.0 +21.8
Steps
(reduced) 		1476
(129) 		1518
(171) 		1537
(190) 		1574
(227) 		1623
(276) 		1666
(319) 		1680
(333) 		1718
(371) 		1742
(395) 		1753
(406) 		1786
(439)
Approximation of prime harmonics in 166edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.94 +0.94 +0.36 +1.40 +1.21 -0.45 +0.27 -2.00 +1.31 +1.72 +0.44
Relative (%) +22.1 +22.1 +8.6 +33.2 +28.6 -10.7 +6.4 -47.2 +30.9 +40.8 +10.4
Steps
(reduced) 		284
(118) 		450
(118) 		659
(161) 		797
(133) 		982
(152) 		1050
(54) 		1160
(164) 		1205
(43) 		1284
(122) 		1379
(51) 		1406
(78)
166edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.41 -1.52 +0.59 -1.16 -1.96 -1.56 -0.08 -1.81 -0.71 +1.94 +0.51
Relative (%) -33.3 -36.0 +14.1 -27.5 -46.3 -37.0 -1.8 -42.8 -16.8 +45.9 +12.0
Steps
(reduced) 		1478
(150) 		1520
(26) 		1540
(46) 		1576
(82) 		1625
(131) 		1669
(9) 		1683
(23) 		1721
(61) 		1745
(85) 		1757
(97) 		1789
(129)


The seventh sooty fox scale

← 6ed343/338 7ed343/338 8ed343/338 →
Prime factorization 7 (prime)
Step size 3.63177 ¢ 
Octave 330\7ed343/338 (1198.48 ¢)
Twelfth 524\7ed343/338 (1903.05 ¢)
Consistency limit 2
Distinct consistency limit 2

7ed343/338 or 7syfx for short.

Harmonics

Approximation of harmonics in 7syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -1.52 +1.09 -0.75 +1.46 -0.20 +1.13 +1.57 +1.49 +1.22 -0.58 +0.17
Relative (%) -41.7 +30.1 -20.5 +40.1 -5.6 +31.1 +43.1 +41.1 +33.7 -16.1 +4.8
Steps
(reduced) 		330
(1) 		524
(6) 		767
(4) 		928
(4) 		1143
(2) 		1223
(5) 		1351
(0) 		1404
(4) 		1495
(4) 		1605
(2) 		1637
(6)
7syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.07 -0.83 +0.25 -1.21 +1.44 +0.99 +1.39 -1.24 +0.06 -0.82 +0.44
Relative (%) -29.4 -22.8 +6.8 -33.2 +39.6 +27.3 +38.2 -34.1 +1.7 -22.5 +12.2
Steps
(reduced) 		1721
(6) 		1770
(6) 		1793
(1) 		1835
(1) 		1893
(3) 		1944
(5) 		1960
(0) 		2004
(2) 		2032
(2) 		2045
(1) 		2083
(4)


320edo, 524edt, 187edf for comparison:

Approximation of prime harmonics in 320edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.71 -0.06 -1.33 -0.07 -0.53 +0.04 -1.26 +1.73 +1.67 -1.29
Relative (%) +0.0 -18.8 -1.7 -35.4 -1.8 -14.1 +1.2 -33.7 +46.0 +44.6 -34.3
Steps
(reduced) 		320
(0) 		507
(187) 		743
(103) 		898
(258) 		1107
(147) 		1184
(224) 		1308
(28) 		1359
(79) 		1448
(168) 		1555
(275) 		1585
(305)
320edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.09 -1.56 -1.52 -1.76 +0.25 -1.67 +0.62 -0.56 +0.30 +0.96 -0.79
Relative (%) -2.5 -41.7 -40.5 -46.8 +6.5 -44.6 +16.4 -14.9 +8.1 +25.6 -21.0
Steps
(reduced) 		1667
(67) 		1714
(114) 		1736
(136) 		1777
(177) 		1833
(233) 		1882
(282) 		1898
(298) 		1941
(21) 		1968
(48) 		1981
(61) 		2017
(97)
Approximation of prime harmonics in 524edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.43 +0.00 +1.28 -0.48 +1.04 -1.42 -1.25 -1.44 +1.73 -0.30 +0.39
Relative (%) +39.3 +0.0 +35.4 -13.2 +28.7 -39.2 -34.5 -39.5 +47.8 -8.3 +10.7
Steps
(reduced) 		331
(331) 		524
(0) 		768
(244) 		928
(404) 		1144
(96) 		1223
(175) 		1351
(303) 		1404
(356) 		1496
(448) 		1606
(34) 		1638
(66)
524edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.03 -0.89 +0.14 -1.40 +1.12 +0.57 +0.93 -1.79 -0.55 -1.45 -0.27
Relative (%) -28.3 -24.5 +3.8 -38.7 +30.8 +15.6 +25.6 -49.3 -15.1 -40.1 -7.5
Steps
(reduced) 		1722
(150) 		1771
(199) 		1794
(222) 		1836
(264) 		1894
(322) 		1945
(373) 		1961
(389) 		2005
(433) 		2033
(461) 		2046
(474) 		2084
(512)
Approximation of prime harmonics in 187edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.21 +1.21 -1.02 -1.69 +0.35 +0.18 +1.22 +0.11 -0.32 +0.03 +0.94
Relative (%) +32.1 +32.1 -27.1 -45.1 +9.4 +4.9 +32.6 +2.8 -8.6 +0.7 +24.9
Steps
(reduced) 		320
(133) 		507
(133) 		742
(181) 		897
(149) 		1106
(171) 		1183
(61) 		1307
(185) 		1358
(49) 		1446
(137) 		1553
(57) 		1584
(88)
187edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.32 +1.15 +1.27 +1.19 -0.35 +1.67 +0.26 -0.75 +0.22 +0.92 -0.69
Relative (%) -35.1 +30.5 +33.9 +31.7 -9.4 +44.5 +7.0 -19.9 +5.7 +24.5 -18.4
Steps
(reduced) 		1665
(169) 		1713
(30) 		1735
(52) 		1776
(93) 		1831
(148) 		1881
(11) 		1896
(26) 		1939
(69) 		1966
(96) 		1979
(109) 		2015
(145)


The eighth sooty fox scale

← 7ed343/338 8ed343/338 9ed343/338 →
Prime factorization 23
Step size 3.1778 ¢ 
Octave 378\8ed343/338 (1201.21 ¢) (→ 189\4ed343/338)
Twelfth 599\8ed343/338 (1903.5 ¢)
Consistency limit 3
Distinct consistency limit 3

8ed343/338 or 8syfx for short.

Harmonics

Approximation of harmonics in 8syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.21 +1.55 +0.62 -0.36 -1.11 -1.14 +1.57 -0.32 -0.59 -1.49 +0.63
Relative (%) +38.0 +48.7 +19.4 -11.3 -35.0 -35.9 +49.3 -10.2 -18.7 -47.0 +19.7
Steps
(reduced) 		378
(2) 		599
(7) 		877
(5) 		1060
(4) 		1306
(2) 		1397
(5) 		1544
(0) 		1604
(4) 		1708
(4) 		1834
(2) 		1871
(7)
8syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.61 -0.37 -0.21 +1.52 +0.08 -1.28 +1.39 +1.03 -0.85 -1.27 -1.37
Relative (%) -19.3 -11.8 -6.5 +47.7 +2.4 -40.2 +43.6 +32.5 -26.6 -40.0 -43.2
Steps
(reduced) 		1967
(7) 		2023
(7) 		2049
(1) 		2098
(2) 		2163
(3) 		2221
(5) 		2240
(0) 		2291
(3) 		2322
(2) 		2337
(1) 		2380
(4)


378edo, 599edt, 221edf for comparison:

Approximation of prime harmonics in 378edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.37 +0.99 -0.57 +1.06 +0.74 -0.19 +0.90 +0.30 -1.01 +1.00
Relative (%) +0.0 -11.6 +31.1 -18.0 +33.5 +23.4 -6.1 +28.3 +9.4 -31.7 +31.4
Steps
(reduced) 		378
(0) 		599
(221) 		878
(122) 		1061
(305) 		1308
(174) 		1399
(265) 		1545
(33) 		1606
(94) 		1710
(198) 		1836
(324) 		1873
(361)
378edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.55 -0.49 -0.41 +1.16 -0.49 +1.15 +0.58 +0.06 +1.26 +0.78 +0.54
Relative (%) -17.3 -15.5 -12.8 +36.5 -15.4 +36.1 +18.1 +1.8 +39.6 +24.6 +17.1
Steps
(reduced) 		1969
(79) 		2025
(135) 		2051
(161) 		2100
(210) 		2165
(275) 		2224
(334) 		2242
(352) 		2293
(25) 		2325
(57) 		2340
(72) 		2383
(115)
Approximation of prime harmonics in 599edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.23 +0.00 +1.53 +0.08 -1.31 -1.57 +0.75 -1.29 +1.35 +0.12 -1.03
Relative (%) +7.3 +0.0 +48.1 +2.5 -41.2 -49.6 +23.8 -40.6 +42.4 +3.8 -32.4
Steps
(reduced) 		378
(378) 		599
(0) 		878
(279) 		1061
(462) 		1307
(109) 		1398
(200) 		1545
(347) 		1605
(407) 		1710
(512) 		1836
(39) 		1872
(75)
599edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.66 +0.75 +0.85 -0.73 +0.84 -0.66 -1.22 +1.47 -0.49 -0.96 -1.17
Relative (%) +20.7 +23.7 +26.8 -22.9 +26.5 -20.9 -38.5 +46.2 -15.5 -30.1 -36.8
Steps
(reduced) 		1969
(172) 		2025
(228) 		2051
(254) 		2099
(302) 		2165
(368) 		2223
(426) 		2241
(444) 		2293
(496) 		2324
(527) 		2339
(542) 		2382
(585)
Approximation of prime harmonics in 221edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.63 +0.63 -0.73 +1.19 +0.06 -0.11 -0.80 +0.40 -0.03 -1.13 +0.94
Relative (%) +19.8 +19.8 -22.9 +37.6 +2.0 -3.4 -25.2 +12.5 -1.1 -35.5 +29.5
Steps
(reduced) 		378
(157) 		599
(157) 		877
(214) 		1061
(177) 		1307
(202) 		1398
(72) 		1544
(218) 		1605
(58) 		1709
(162) 		1835
(67) 		1872
(104)
221edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.45 -0.30 -0.17 +1.48 -0.06 -1.51 +1.13 +0.70 -1.23 +1.50 +1.33
Relative (%) -14.2 -9.4 -5.4 +46.5 -2.0 -47.4 +35.6 +21.9 -38.7 +47.2 +41.9
Steps
(reduced) 		1968
(200) 		2024
(35) 		2050
(61) 		2099
(110) 		2164
(175) 		2222
(12) 		2241
(31) 		2292
(82) 		2323
(113) 		2339
(129) 		2382
(172)


The ninth sooty fox scale

← 8ed343/338 9ed343/338 10ed343/338 →
Prime factorization 32
Step size 2.82471 ¢ 
Octave 425\9ed343/338 (1200.5 ¢)
(semiconvergent)
Twelfth 673\9ed343/338 (1901.03 ¢)
Consistency limit 2
Distinct consistency limit 2

9ed343/338 or 9syfx for short.

Harmonics

Approximation of harmonics in 9syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.50 -0.92 -1.15 +1.05 +1.01 -0.08 -1.26 +1.09 +0.82 +0.63 +0.98
Relative (%) +17.8 -32.7 -40.7 +37.3 +35.6 -2.9 -44.5 +38.6 +29.0 +22.1 +34.7
Steps
(reduced) 		425
(2) 		673
(7) 		986
(5) 		1193
(5) 		1470
(3) 		1572
(6) 		1736
(8) 		1805
(5) 		1922
(5) 		2064
(3) 		2105
(8)
9syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.26 -0.02 -0.56 +0.81 -0.98 -0.22 +1.39 -0.03 +1.27 +1.20 +0.04
Relative (%) -9.2 -0.7 -19.8 +28.7 -34.8 -7.8 +49.1 -1.0 +45.0 +42.5 +1.4
Steps
(reduced) 		2213
(8) 		2276
(8) 		2305
(1) 		2360
(2) 		2433
(3) 		2499
(6) 		2520
(0) 		2577
(3) 		2613
(3) 		2630
(2) 		2678
(5)


425edo, 673edt, 249edf for comparison:

Approximation of prime harmonics in 425edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +1.10 +0.51 -0.36 -0.73 +0.88 -0.48 -1.04 +1.37 +1.01 +1.32
Relative (%) +0.0 +39.1 +18.1 -12.6 -25.8 +31.3 -17.2 -36.9 +48.6 +35.8 +46.7
Steps
(reduced) 		425
(0) 		674
(249) 		987
(137) 		1193
(343) 		1470
(195) 		1573
(298) 		1737
(37) 		1805
(105) 		1923
(223) 		2065
(365) 		2106
(406)
425edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.05 +0.11 -0.46 +0.85 -1.03 -0.35 +1.23 -0.25 +1.01 +0.92 -0.30
Relative (%) -1.8 +4.0 -16.3 +30.0 -36.6 -12.3 +43.7 -8.8 +35.7 +32.5 -10.7
Steps
(reduced) 		2214
(89) 		2277
(152) 		2306
(181) 		2361
(236) 		2434
(309) 		2500
(375) 		2521
(396) 		2578
(28) 		2614
(64) 		2631
(81) 		2679
(129)
Approximation of prime harmonics in 673edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.09 +0.00 +0.21 -0.13 +0.20 -0.75 +1.13 +0.74 +0.63 +0.64 +1.05
Relative (%) +38.4 +0.0 +7.3 -4.7 +7.1 -26.5 +39.9 +26.3 +22.4 +22.5 +37.0
Steps
(reduced) 		425
(425) 		673
(0) 		986
(313) 		1192
(519) 		1469
(123) 		1571
(225) 		1736
(390) 		1804
(458) 		1921
(575) 		2063
(44) 		2104
(85)
673edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.04 +0.28 -0.22 +1.23 -0.47 +0.39 -0.80 +0.69 -0.79 -0.84 +0.89
Relative (%) -1.6 +9.9 -7.7 +43.4 -16.5 +13.7 -28.4 +24.3 -27.9 -29.7 +31.6
Steps
(reduced) 		2212
(193) 		2275
(256) 		2304
(285) 		2359
(340) 		2432
(413) 		2498
(479) 		2518
(499) 		2576
(557) 		2611
(592) 		2628
(609) 		2677
(658)
Approximation of prime harmonics in 249edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.94 +0.94 -1.05 -0.01 +1.21 -0.45 +0.27 -0.59 +1.31 +0.31 +0.44
Relative (%) +33.2 +33.2 -37.1 -0.2 +43.0 -16.0 +9.7 -20.8 +46.3 +11.1 +15.6
Steps
(reduced) 		426
(177) 		675
(177) 		988
(241) 		1195
(199) 		1473
(228) 		1575
(81) 		1740
(246) 		1808
(65) 		1926
(183) 		2068
(76) 		2109
(117)
249edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -1.41 +1.30 +0.59 -1.16 -0.55 -0.15 +1.33 -0.40 +0.70 +0.53 -0.90
Relative (%) -49.9 +46.0 +21.1 -41.2 -19.4 -5.5 +47.3 -14.2 +24.8 +18.8 -32.0
Steps
(reduced) 		2217
(225) 		2281
(40) 		2310
(69) 		2364
(123) 		2438
(197) 		2504
(14) 		2525
(35) 		2582
(92) 		2618
(128) 		2635
(145) 		2683
(193)


The tenth sooty fox scale

← 9ed343/338 10ed343/338 11ed343/338 →
Prime factorization 2 × 5
Step size 2.54224 ¢ 
Octave 472\10ed343/338 (1199.94 ¢) (→ 236\5ed343/338)
Twelfth 748\10ed343/338 (1901.6 ¢) (→ 374\5ed343/338)
Consistency limit 12
Distinct consistency limit 12

10ed343/338 or 10syfx for short.

Harmonics

Approximation of harmonics in 10syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.06 -0.36 -0.02 -0.36 +0.16 +0.76 -0.98 -0.32 -0.59 -0.22 +1.26
Relative (%) -2.5 -14.2 -0.8 -14.1 +6.3 +30.1 -38.4 -12.7 -23.3 -8.7 +49.7
Steps
(reduced) 		472
(2) 		748
(8) 		1096
(6) 		1325
(5) 		1633
(3) 		1747
(7) 		1929
(9) 		2005
(5) 		2135
(5) 		2293
(3) 		2339
(9)
10syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.02 +0.26 -0.84 +0.25 +0.71 +0.63 -1.16 -0.88 +0.42 +0.63 +1.17
Relative (%) +0.9 +10.3 -33.1 +9.7 +28.0 +24.7 -45.5 -34.4 +16.7 +25.0 +45.9
Steps
(reduced) 		2459
(9) 		2529
(9) 		2561
(1) 		2622
(2) 		2704
(4) 		2777
(7) 		2799
(9) 		2863
(3) 		2903
(3) 		2922
(2) 		2976
(6)


472edo, 748edt, 276edf for comparison:

Approximation of prime harmonics in 472edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.26 +0.13 -0.18 +0.38 +1.00 -0.72 -0.06 -0.31 +0.08 -0.97
Relative (%) +0.0 -10.2 +5.0 -7.2 +14.8 +39.2 -28.2 -2.2 -12.1 +3.3 -38.1
Steps
(reduced) 		472
(0) 		748
(276) 		1096
(152) 		1325
(381) 		1633
(217) 		1747
(331) 		1929
(41) 		2005
(117) 		2135
(247) 		2293
(405) 		2338
(450)
472edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.35 +0.60 -0.50 +0.60 +1.07 +1.00 -0.78 -0.49 +0.81 +1.02 -0.98
Relative (%) +13.8 +23.5 -19.7 +23.4 +42.2 +39.2 -30.8 -19.4 +31.9 +40.3 -38.5
Steps
(reduced) 		2459
(99) 		2529
(169) 		2561
(201) 		2622
(262) 		2704
(344) 		2777
(417) 		2799
(439) 		2863
(31) 		2903
(71) 		2922
(90) 		2975
(143)
Approximation of prime harmonics in 748edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.16 +0.00 +0.51 +0.28 +0.94 -0.94 -0.05 +0.64 +0.43 +0.88 -0.15
Relative (%) +6.5 +0.0 +20.0 +11.0 +37.2 -36.9 -1.9 +25.2 +17.1 +34.7 -6.1
Steps
(reduced) 		472
(472) 		748
(0) 		1096
(348) 		1325
(577) 		1633
(137) 		1746
(250) 		1929
(433) 		2005
(509) 		2135
(639) 		2293
(49) 		2338
(94)
748edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +1.21 -1.06 +0.39 -1.04 -0.53 -0.58 +0.19 +0.50 -0.72 -0.50 +0.06
Relative (%) +47.4 -41.9 +15.3 -40.7 -20.9 -22.8 +7.5 +19.7 -28.4 -19.8 +2.2
Steps
(reduced) 		2459
(215) 		2528
(284) 		2561
(317) 		2621
(377) 		2703
(459) 		2776
(532) 		2799
(555) 		2863
(619) 		2902
(658) 		2921
(677) 		2975
(731)
Approximation of prime harmonics in 276edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.44 +0.44 +1.16 +1.07 -0.63 +0.10 +1.10 -0.71 -0.84 -0.30 +1.24
Relative (%) +17.5 +17.5 +45.6 +41.9 -24.7 +4.0 +43.2 -27.9 -33.0 -11.7 +48.6
Steps
(reduced) 		472
(196) 		748
(196) 		1096
(268) 		1325
(221) 		1632
(252) 		1746
(90) 		1929
(273) 		2004
(72) 		2134
(202) 		2292
(84) 		2338
(130)
276edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.12 +0.44 -0.63 +0.52 +1.08 +1.07 -0.69 -0.34 +1.00 +1.23 -0.72
Relative (%) +4.9 +17.2 -24.8 +20.5 +42.3 +42.1 -27.1 -13.3 +39.5 +48.5 -28.2
Steps
(reduced) 		2458
(250) 		2528
(44) 		2560
(76) 		2621
(137) 		2703
(219) 		2776
(16) 		2798
(38) 		2862
(102) 		2902
(142) 		2921
(161) 		2974
(214)


The eleventh sooty fox scale

← 10ed343/338 11ed343/338 12ed343/338 →
Prime factorization 11 (prime)
Step size 2.31113 ¢ 
Octave 519\11ed343/338 (1199.47 ¢)
Twelfth 823\11ed343/338 (1902.06 ¢)
(convergent)
Consistency limit 4
Distinct consistency limit 4

11ed343/338 or 11syfx for short.

Harmonics

Approximation of harmonics in 11syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.53 +0.10 +0.91 +0.80 -0.53 -0.85 -0.74 +0.83 +0.56 -0.92 -0.82
Relative (%) -22.7 +4.4 +39.2 +34.5 -23.1 -36.9 -32.2 +36.0 +24.3 -39.6 -35.4
Steps
(reduced) 		519
(2) 		823
(9) 		1206
(7) 		1458
(6) 		1796
(3) 		1921
(7) 		2122
(10) 		2206
(6) 		2349
(6) 		2522
(3) 		2572
(9)
11syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.25 +0.49 -1.07 -0.22 -0.21 -0.99 -0.93 +0.74 -0.27 +0.17 -0.22
Relative (%) +11.0 +21.3 -46.4 -9.4 -9.2 -42.8 -40.0 +32.1 -11.6 +7.5 -9.5
Steps
(reduced) 		2705
(10) 		2782
(10) 		2817
(1) 		2884
(2) 		2974
(4) 		3054
(7) 		3079
(10) 		3150
(4) 		3193
(3) 		3214
(2) 		3273
(6)


519edo, 823edt, 304edf, for comparison:

Approximation of prime harmonics in 519edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.94 -0.19 -0.04 -1.03 +1.09 -0.91 +0.75 +0.63 -0.68 -0.53
Relative (%) +0.0 +40.4 -8.1 -1.7 -44.5 +47.2 -39.3 +32.6 +27.1 -29.2 -22.8
Steps
(reduced) 		519
(0) 		823
(304) 		1205
(167) 		1457
(419) 		1795
(238) 		1921
(364) 		2121
(45) 		2205
(129) 		2348
(272) 		2521
(445) 		2571
(495)
519edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.68 +1.00 -0.54 +0.39 +0.48 -0.21 -0.12 -0.69 +0.65 +1.11 +0.78
Relative (%) +29.4 +43.1 -23.1 +16.8 +20.9 -9.2 -5.3 -30.0 +28.1 +48.1 +33.8
Steps
(reduced) 		2704
(109) 		2781
(186) 		2816
(221) 		2883
(288) 		2973
(378) 		3053
(458) 		3078
(483) 		3148
(34) 		3192
(78) 		3213
(99) 		3272
(158)
Approximation of prime harmonics in 823edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.59 +0.00 +0.76 +0.62 -0.76 -1.09 -1.01 +0.56 +0.27 +1.08 -1.14
Relative (%) -25.5 +0.0 +32.7 +26.6 -32.8 -47.3 -43.6 +24.2 +11.7 +46.8 -49.2
Steps
(reduced) 		519
(519) 		823
(0) 		1206
(383) 		1458
(635) 		1796
(150) 		1921
(275) 		2122
(476) 		2206
(560) 		2349
(703) 		2523
(54) 		2572
(103)
823edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.08 +0.15 +0.89 -0.58 -0.58 +0.94 +1.00 +0.35 -0.67 -0.23 -0.63
Relative (%) -3.6 +6.3 +38.4 -24.9 -25.2 +40.7 +43.4 +15.2 -28.8 -9.9 -27.1
Steps
(reduced) 		2705
(236) 		2782
(313) 		2818
(349) 		2884
(415) 		2974
(505) 		3055
(586) 		3080
(611) 		3150
(681) 		3193
(724) 		3214
(745) 		3273
(804)
Approximation of prime harmonics in 304edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.71 +0.71 +0.72 +0.10 +0.38 -0.20 -0.51 +0.90 +0.33 +0.81 +0.80
Relative (%) +30.9 +30.9 +31.4 +4.2 +16.3 -8.7 -21.9 +38.8 +14.4 +34.9 +34.7
Steps
(reduced) 		520
(216) 		824
(216) 		1207
(295) 		1459
(243) 		1798
(278) 		1923
(99) 		2124
(300) 		2208
(80) 		2351
(223) 		2525
(93) 		2575
(143)
304edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.71 -0.63 +0.04 +0.76 +0.57 -0.37 -0.35 -1.14 +0.07 +0.46 -0.05
Relative (%) -30.8 -27.4 +1.7 +32.8 +24.9 -15.9 -15.3 -49.5 +2.9 +20.1 -2.1
Steps
(reduced) 		2707
(275) 		2784
(48) 		2820
(84) 		2887
(151) 		2977
(241) 		3057
(17) 		3082
(42) 		3152
(112) 		3196
(156) 		3217
(177) 		3276
(236)


The twelfth sooty fox scale

← 11ed343/338 12ed343/338 13ed343/338 →
Prime factorization 22 × 3 (highly composite)
Step size 2.11853 ¢ 
Octave 566\12ed343/338 (1199.09 ¢) (→ 283\6ed343/338)
Twelfth 898\12ed343/338 (1902.44 ¢) (→ 449\6ed343/338)
Consistency limit 2
Distinct consistency limit 2

12ed343/338 or 12syfx for short.

Harmonics

Approximation of harmonics in 12syfx
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.910 +0.488 -0.443 -0.358 +1.007 -0.083 -0.552 -0.323 -0.593 +0.626 -0.432
Relative (%) -43.0 +23.0 -20.9 -16.9 +47.5 -3.9 -26.0 -15.2 -28.0 +29.5 -20.4
Steps
(reduced) 		566
(2) 		898
(10) 		1315
(7) 		1590
(6) 		1960
(4) 		2096
(8) 		2315
(11) 		2406
(6) 		2562
(6) 		2752
(4) 		2806
(10)
12syfx contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.447 +0.685 +0.853 -0.602 -0.984 -0.220 -0.732 -0.028 -0.846 -0.213 +0.744
Relative (%) +21.1 +32.3 +40.2 -28.4 -46.4 -10.4 -34.6 -1.3 -39.9 -10.0 +35.1
Steps
(reduced) 		2951
(11) 		3035
(11) 		3074
(2) 		3146
(2) 		3244
(4) 		3332
(8) 		3359
(11) 		3436
(4) 		3483
(3) 		3506
(2) 		3571
(7)


566edo, 898edt, 331edf, for comparison:

Approximation of prime harmonics in 566edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.188 -0.448 +0.079 -0.081 -0.952 +1.052 -0.693 -0.713 +0.811 -0.159
Relative (%) +0.0 -8.9 -21.1 +3.7 -3.8 -44.9 +49.6 -32.7 -33.6 +38.3 -7.5
Steps
(reduced) 		566
(0) 		897
(331) 		1314
(182) 		1589
(457) 		1958
(260) 		2094
(396) 		2314
(50) 		2404
(140) 		2560
(296) 		2750
(486) 		2804
(540)
566edo contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.953 -0.794 -0.564 +0.218 -0.006 +0.899 +0.430 -0.862 +0.515 -0.934 +0.127
Relative (%) +44.9 -37.4 -26.6 +10.3 -0.3 +42.4 +20.3 -40.6 +24.3 -44.1 +6.0
Steps
(reduced) 		2949
(119) 		3032
(202) 		3071
(241) 		3144
(314) 		3242
(412) 		3330
(500) 		3357
(527) 		3433
(37) 		3481
(85) 		3503
(107) 		3568
(172)
Approximation of prime harmonics in 898edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.900 +0.000 +0.961 +0.896 -0.058 +0.897 +0.309 +0.489 +0.134 -0.869 +0.162
Relative (%) +42.5 +0.0 +45.4 +42.3 -2.7 +42.4 +14.6 +23.1 +6.3 -41.0 +7.7
Steps
(reduced) 		567
(567) 		898
(0) 		1316
(418) 		1591
(693) 		1960
(164) 		2097
(301) 		2316
(520) 		2407
(611) 		2563
(767) 		2752
(58) 		2807
(113)
898edt contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.962 -0.963 -0.817 -0.192 -0.627 +0.089 -0.438 +0.225 -0.619 +0.001 +0.923
Relative (%) +45.4 -45.5 -38.6 -9.1 -29.6 +4.2 -20.7 +10.6 -29.2 +0.1 +43.6
Steps
(reduced) 		2952
(258) 		3035
(341) 		3074
(380) 		3147
(453) 		3245
(551) 		3333
(639) 		3360
(666) 		3437
(743) 		3484
(790) 		3507
(813) 		3572
(878)
Approximation of prime harmonics in 331edf
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.322 +0.322 +0.299 +0.982 +1.032 +0.239 +0.247 +0.674 +0.743 +0.255 -0.686
Relative (%) +15.2 +15.2 +14.1 +46.3 +48.7 +11.3 +11.6 +31.8 +35.0 +12.0 -32.3
Steps
(reduced) 		566
(235) 		897
(235) 		1314
(321) 		1589
(265) 		1958
(303) 		2094
(108) 		2313
(327) 		2404
(87) 		2560
(243) 		2749
(101) 		2803
(155)
331edf contd.
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.509 +0.930 -0.938 -0.115 -0.284 +0.672 +0.218 -1.030 +0.374 +1.058 +0.036
Relative (%) +24.0 +43.9 -44.2 -5.4 -13.4 +31.7 +10.3 -48.6 +17.6 +49.9 +1.7
Steps
(reduced) 		2948
(300) 		3032
(53) 		3070
(91) 		3143
(164) 		3241
(262) 		3329
(19) 		3356
(46) 		3432
(122) 		3480
(170) 		3503
(193) 		3567
(257)
Retrieved from "https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Sooty_fox_scale&oldid=162388"