User:BudjarnLambeth/Sooty fox scale

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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.

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	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-5.1	+4.7	-10.3	+10.1	-0.4	+12.4	+10.0	+9.4	+5.0	-7.5	-5.6
	Relative (%)	-20.2	+18.6	-40.5	+39.9	-1.7	+48.6	+39.3	+37.2	+19.7	-29.4	-21.9
Step		47	75	94	110	122	133	142	150	157	163	169

1syfx contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+8.4	+7.2	-10.5	+4.8	+1.6	+4.3	+12.4	-0.1	-8.3	-12.6	+12.1
	Relative (%)	+33.0	+28.3	-41.5	+19.0	+6.2	+16.9	+48.7	-0.6	-32.8	-49.6	+47.7
Step		175	180	184	189	193	197	201	204	207	210	214

47edo, 75edt for comparison:

Approximation of harmonics in 47edo

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.0	-12.6	+0.0	-3.3	-12.6	+1.4	+0.0	+0.3	-3.3	+10.4	-12.6
	Relative (%)	+0.0	-49.3	+0.0	-13.1	-49.3	+5.4	+0.0	+1.4	-13.1	+40.7	-49.3
Steps (reduced)		47 (0)	74 (27)	94 (0)	109 (15)	121 (27)	132 (38)	141 (0)	149 (8)	156 (15)	163 (22)	168 (27)

47edo contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+2.0	+1.4	+9.6	+0.0	-2.8	+0.3	+8.9	-3.3	-11.2	+10.4	+10.0
	Relative (%)	+7.9	+5.4	+37.6	+0.0	-11.1	+1.4	+34.7	-13.1	-43.9	+40.7	+39.3
Steps (reduced)		174 (33)	179 (38)	184 (43)	188 (0)	192 (4)	196 (8)	200 (12)	203 (15)	206 (18)	210 (22)	213 (25)

Approximation of harmonics in 75edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-8.1	+0.0	+9.1	+3.2	-8.1	+4.0	+1.0	+0.0	-4.9	+7.6	+9.1
	Relative (%)	-32.0	+0.0	+36.1	+12.7	-32.0	+15.7	+4.1	+0.0	-19.3	+30.1	+36.1
Steps (reduced)		47 (47)	75 (0)	95 (20)	110 (35)	122 (47)	133 (58)	142 (67)	150 (0)	157 (7)	164 (14)	170 (20)

75edt contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-2.6	-4.1	+3.2	-7.1	-10.6	-8.1	-0.3	+12.4	+4.0	-0.5	-1.4
	Relative (%)	-10.4	-16.3	+12.7	-27.9	-41.8	-32.0	-1.1	+48.8	+15.7	-1.9	-5.4
Steps (reduced)		175 (25)	180 (30)	185 (35)	189 (39)	193 (43)	197 (47)	201 (51)	205 (55)	208 (58)	211 (61)	214 (64)

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	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-5.15	+4.72	+2.42	-2.56	-0.42	-0.36	-2.73	-3.26	+5.00	+5.24	-5.57
	Relative (%)	-40.5	+37.2	+19.0	-20.2	-3.3	-2.8	-21.5	-25.7	+39.4	+41.3	-43.8
Steps (reduced)		94 (0)	150 (0)	189 (1)	219 (1)	244 (0)	265 (1)	283 (1)	299 (1)	314 (0)	327 (1)	338 (0)

2syfx contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-4.32	-5.51	+2.16	+4.83	+1.57	+4.30	-0.32	-0.14	+4.37	+0.10	-0.59
	Relative (%)	-34.0	-43.3	+17.0	+38.0	+12.3	+33.8	-2.5	-1.1	+34.3	+0.8	-4.7
Steps (reduced)		349 (1)	359 (1)	369 (1)	378 (0)	386 (0)	394 (0)	401 (1)	408 (0)	415 (1)	421 (1)	427 (1)

94edo, 150edt for comparison:

Approximation of harmonics in 94edo

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.00	+0.17	+0.00	-3.33	+0.17	+1.39	+0.00	+0.35	-3.33	-2.38	+0.17
	Relative (%)	+0.0	+1.4	+0.0	-26.1	+1.4	+10.9	+0.0	+2.7	-26.1	-18.7	+1.4
Steps (reduced)		94 (0)	149 (55)	188 (0)	218 (30)	243 (55)	264 (76)	282 (0)	298 (16)	312 (30)	325 (43)	337 (55)

94edo contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+2.03	+1.39	-3.16	+0.00	-2.83	+0.35	-3.90	-3.33	+1.56	-2.38	-2.74
	Relative (%)	+15.9	+10.9	-24.8	+0.0	-22.2	+2.7	-30.5	-26.1	+12.2	-18.7	-21.5
Steps (reduced)		348 (66)	358 (76)	367 (85)	376 (0)	384 (8)	392 (16)	399 (23)	406 (30)	413 (37)	419 (43)	425 (49)

Approximation of harmonics in 150edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+4.57	+0.00	-3.54	+3.22	+4.57	+3.97	+1.03	+0.00	-4.89	-5.06	-3.54
	Relative (%)	+36.1	+0.0	-27.9	+25.4	+36.1	+31.3	+8.2	+0.0	-38.5	-39.9	-27.9
Steps (reduced)		95 (95)	150 (0)	189 (39)	220 (70)	245 (95)	266 (116)	284 (134)	300 (0)	314 (14)	327 (27)	339 (39)

150edt contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-2.63	-4.13	+3.22	+5.61	+2.09	+4.57	-0.27	-0.32	+3.97	-0.48	-1.36
	Relative (%)	-20.8	-32.6	+25.4	+44.2	+16.5	+36.1	-2.2	-2.5	+31.3	-3.8	-10.7
Steps (reduced)		350 (50)	360 (60)	370 (70)	379 (79)	387 (87)	395 (95)	402 (102)	409 (109)	416 (116)	422 (122)	428 (128)

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	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+3.33	-3.75	-1.82	+1.68	-0.42	+3.88	+1.51	+0.98	-3.47	+1.01	+2.90
	Relative (%)	+39.3	-44.2	-21.5	+19.8	-5.0	+45.8	+17.8	+11.5	-41.0	+11.9	+34.3
Steps (reduced)		142 (1)	224 (2)	283 (1)	329 (2)	366 (0)	398 (2)	425 (2)	449 (2)	470 (2)	490 (1)	508 (1)

3syfx contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-0.08	-1.27	-2.07	-3.64	+1.57	-4.17	+3.91	-0.14	+0.13	-4.14	+3.64
	Relative (%)	-1.0	-15.0	-24.5	-43.0	+18.5	-49.2	+46.2	-1.7	+1.5	-48.9	+43.0
Steps (reduced)		524 (2)	539 (2)	553 (1)	566 (2)	579 (0)	590 (2)	602 (2)	612 (0)	622 (1)	631 (1)	641 (2)

142edo, 224edt for comparison:

Approximation of harmonics in 142edo

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.00	-0.55	+0.00	+2.42	-0.55	+3.01	+0.00	-1.09	+2.42	-2.02	-0.55
	Relative (%)	+0.0	-6.5	+0.0	+28.6	-6.5	+35.6	+0.0	-12.9	+28.6	-23.9	-6.5
Steps (reduced)		142 (0)	225 (83)	284 (0)	330 (46)	367 (83)	399 (115)	426 (0)	450 (24)	472 (46)	491 (65)	509 (83)

142edo contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-3.91	+3.01	+1.87	+0.00	-3.55	-1.09	-1.74	+2.42	+2.46	-2.02	-2.92
	Relative (%)	-46.2	+35.6	+22.2	+0.0	-42.0	-12.9	-20.6	+28.6	+29.1	-23.9	-34.6
Steps (reduced)		525 (99)	541 (115)	555 (129)	568 (0)	580 (12)	592 (24)	603 (35)	614 (46)	624 (56)	633 (65)	642 (74)

Approximation of harmonics in 224ed5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-5.87	+1.20	+0.71	+0.00	-4.67	+2.12	-5.16	+2.39	-5.87	+3.27	+1.90
	Relative (%)	-47.2	+9.6	+5.7	+0.0	-37.5	+17.0	-41.5	+19.2	-47.2	+26.3	+15.3
Steps (reduced)		96 (96)	153 (153)	193 (193)	224 (0)	249 (25)	271 (47)	289 (65)	306 (82)	320 (96)	334 (110)	346 (122)

224edt contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+0.16	-3.75	+1.20	+1.42	-4.03	-3.47	+2.44	+0.71	+3.31	-2.59	-4.91
	Relative (%)	+1.3	-30.1	+9.6	+11.4	-32.4	-27.9	+19.6	+5.7	+26.6	-20.8	-39.5
Steps (reduced)		357 (133)	367 (143)	377 (153)	386 (162)	394 (170)	402 (178)	410 (186)	417 (193)	424 (200)	430 (206)	436 (212)

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	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.21	-1.63	+2.42	-2.56	-0.42	-0.36	-2.73	+3.09	-1.35	-1.11	+0.79
	Relative (%)	+19.0	-25.7	+38.0	-40.3	-6.7	-5.6	-43.0	+48.7	-21.3	-17.5	+12.4
Steps (reduced)		189 (1)	299 (3)	378 (2)	438 (2)	488 (0)	530 (2)	566 (2)	599 (3)	627 (3)	653 (1)	677 (1)

4syfx contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+2.04	+0.85	+2.16	-1.52	+1.57	-2.05	-0.32	-0.14	-1.99	+0.10	-0.59
	Relative (%)	+32.0	+13.4	+34.0	-24.0	+24.7	-32.3	-5.1	-2.3	-31.3	+1.5	-9.3
Steps (reduced)		699 (3)	719 (3)	738 (2)	755 (3)	772 (0)	787 (3)	802 (2)	816 (0)	829 (1)	842 (2)	854 (2)

189edo, 299edt for comparison:

Approximation of harmonics in 189edo

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.00	+2.81	+0.00	+0.99	+2.81	+2.60	+0.00	-0.74	+0.99	+1.06	+2.81
	Relative (%)	+0.0	+44.2	+0.0	+15.6	+44.2	+41.0	+0.0	-11.6	+15.6	+16.7	+44.2
Steps (reduced)		189 (0)	300 (111)	378 (0)	439 (61)	489 (111)	531 (153)	567 (0)	599 (32)	628 (61)	654 (87)	678 (111)

189edo contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-2.43	+2.60	-2.55	+0.00	+2.98	-0.74	+0.90	+0.99	-0.94	+1.06	+0.30
	Relative (%)	-38.3	+41.0	-40.2	+0.0	+47.0	-11.6	+14.2	+15.6	-14.8	+16.7	+4.7
Steps (reduced)		699 (132)	720 (153)	738 (171)	756 (0)	773 (17)	788 (32)	803 (47)	817 (61)	830 (74)	843 (87)	855 (99)

Approximation of harmonics in 299edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+2.24	+0.00	-1.88	-0.17	+2.24	+2.53	+0.36	+0.00	+2.07	+2.45	-1.88
	Relative (%)	+35.2	+0.0	-29.6	-2.7	+35.2	+39.8	+5.6	+0.0	+32.5	+38.5	-29.6
Steps (reduced)		189 (189)	299 (0)	377 (78)	438 (139)	488 (189)	530 (231)	566 (267)	598 (0)	627 (29)	653 (55)	676 (78)

299edt contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-0.51	-1.59	-0.17	+2.60	-0.58	+2.24	-2.31	-2.06	+2.53	-1.67	-2.30
	Relative (%)	-8.1	-25.0	-2.7	+40.8	-9.2	+35.2	-36.3	-32.3	+39.8	-26.3	-36.1
Steps (reduced)		698 (100)	718 (120)	737 (139)	755 (157)	771 (173)	787 (189)	801 (203)	815 (217)	829 (231)	841 (243)	853 (255)

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	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-0.06	-0.36	-0.13	-0.02	-0.42	+2.18	-0.19	-0.72	-0.08	-2.38	-0.49
	Relative (%)	-1.2	-7.1	-2.5	-0.4	-8.3	+43.0	-3.7	-14.2	-1.6	-46.9	-9.6
Steps (reduced)		236 (1)	374 (4)	472 (2)	548 (3)	610 (0)	663 (3)	708 (3)	748 (3)	784 (4)	816 (1)	846 (1)

5syfx contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-1.78	+2.12	-0.38	-0.25	+1.57	-0.78	+2.22	-0.14	+1.82	-2.45	+1.95
	Relative (%)	-35.0	+41.7	-7.5	-4.9	+30.8	-15.4	+43.7	-2.9	+35.9	-48.1	+38.3
Steps (reduced)		873 (3)	899 (4)	922 (2)	944 (4)	965 (0)	984 (4)	1003 (3)	1020 (0)	1037 (2)	1052 (2)	1068 (3)

236edo, 374edt for comparison:

Approximation of harmonics in 236edo

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.00	-0.26	+0.00	+0.13	-0.26	+2.36	+0.00	-0.52	+0.13	-2.17	-0.26
	Relative (%)	+0.0	-5.1	+0.0	+2.5	-5.1	+46.4	+0.0	-10.2	+2.5	-42.6	-5.1
Steps (reduced)		236 (0)	374 (138)	472 (0)	548 (76)	610 (138)	663 (191)	708 (0)	748 (40)	784 (76)	816 (108)	846 (138)

236edo contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-1.54	+2.36	-0.13	+0.00	+1.82	-0.52	+2.49	+0.13	+2.10	-2.17	+2.23
	Relative (%)	-30.4	+46.4	-2.6	+0.0	+35.9	-10.2	+48.9	+2.5	+41.3	-42.6	+43.9
Steps (reduced)		873 (165)	899 (191)	922 (214)	944 (0)	965 (21)	984 (40)	1003 (59)	1020 (76)	1037 (93)	1052 (108)	1068 (124)

Approximation of harmonics in 374edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+0.16	+0.00	+0.33	+0.51	+0.16	-2.26	+0.49	+0.00	+0.67	-1.60	+0.33
	Relative (%)	+3.2	+0.0	+6.5	+10.0	+3.2	-44.5	+9.7	+0.0	+13.2	-31.4	+6.5
Steps (reduced)		236 (236)	374 (0)	472 (98)	548 (174)	610 (236)	662 (288)	708 (334)	748 (0)	784 (36)	816 (68)	846 (98)

374edt contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-0.94	-2.10	+0.51	+0.66	+2.50	+0.16	-1.90	+0.84	-2.26	-1.43	-2.11
	Relative (%)	-18.4	-41.3	+10.0	+12.9	+49.1	+3.2	-37.4	+16.4	-44.5	-28.2	-41.5
Steps (reduced)		873 (125)	898 (150)	922 (174)	944 (196)	965 (217)	984 (236)	1002 (254)	1020 (272)	1036 (288)	1052 (304)	1067 (319)