User:Lériendil/ET harmonic testing page

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Interval information
Name deciennealimma

Harmonics

Approximation of prime harmonics in 46ed5/3
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) -8.04 +1.34 +1.34 -4.42 +1.32 +0.49 -2.53 -2.84 -6.77 -4.34 -4.45 -3.16 -7.85 +5.82 +5.63
Relative (%) -41.8 +7.0 +7.0 -23.0 +6.9 +2.6 -13.2 -14.8 -35.2 -22.6 -23.2 -16.4 -40.8 +30.3 +29.3
Steps
(reduced)
62
(16)
99
(7)
145
(7)
175
(37)
216
(32)
231
(1)
255
(25)
265
(35)
282
(6)
303
(27)
309
(33)
325
(3)
334
(12)
339
(17)
347
(25)
Approximation of prime harmonics in 127ed6
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) -3.18 +3.18 -1.88 +1.80 +0.91 +4.79 +4.44 +7.28 -5.96 +7.96 -9.80 +1.42 -5.33 +9.92 +2.48
Relative (%) -13.0 +13.0 -7.7 +7.4 +3.7 +19.6 +18.2 +29.8 -24.4 +32.6 -40.1 +5.8 -21.8 +40.6 +10.1
Steps
(reduced)
49
(49)
78
(78)
114
(114)
138
(11)
170
(43)
182
(55)
201
(74)
209
(82)
222
(95)
239
(112)
243
(116)
256
(2)
263
(9)
267
(13)
273
(19)
Approximation of odd harmonics in 152ed7/3
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) -0.81 +2.67 -0.81 -1.63 -1.62 -1.31 +1.86 -2.52 -2.07 -1.63 -4.71 -4.31 -2.44 -0.70 -0.35
Relative (%) -8.4 +27.7 -8.4 -16.9 -16.8 -13.6 +19.3 -26.1 -21.4 -16.9 -48.8 -44.6 -25.3 -7.2 -3.6
Steps
(reduced)
197
(45)
289
(137)
349
(45)
394
(90)
430
(126)
460
(4)
486
(30)
508
(52)
528
(72)
546
(90)
562
(106)
577
(121)
591
(135)
604
(148)
616
(8)
Approximation of prime harmonics in 6181edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.0687 +0.0000 -0.0004 -0.0177 -0.0034 +0.0342 -0.0593 +0.0095 +0.0363 -0.0128 -0.0800 +0.0906 -0.0791 -0.0681 +0.1056
Relative (%) +22.3 +0.0 -0.1 -5.8 -1.1 +11.1 -19.3 +3.1 +11.8 -4.2 -26.0 +29.5 -25.7 -22.1 +34.3
Steps
(reduced)
3900
(3900)
6181
(0)
9055
(2874)
10948
(4767)
13491
(1129)
14431
(2069)
15940
(3578)
16566
(4204)
17641
(5279)
18945
(402)
19320
(777)
20316
(1773)
20893
(2350)
21161
(2618)
21662
(3119)
Approximation of prime harmonics in 13822009edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0000 -0.0000 +0.0000 +0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 +0.0000
Relative (%) +0.0 +5.0 -2.5 +0.1 +3.2 -8.8 -17.9 -32.2 -6.9 -3.6 +1.0
Steps
(reduced)
13822009
(0)
21907366
(8085357)
32093711
(4449693)
38803285
(11159267)
47816295
(6350268)
51147511
(9681484)
56496948
(1208912)
58714892
(3426856)
62524714
(7236678)
67147057
(11859021)
68476946
(13188910)
Approximation of prime harmonics in 13822009edo
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 +0.0000 -0.0000 -0.0000 +0.0000 -0.0000
Relative (%) -30.5 -2.6 -27.6 -9.9 -7.4 -17.2 +14.4 -38.5 -3.4 +23.9 -23.5
Steps
(reduced)
72005111
(2895066)
74052132
(4942087)
75001880
(5891835)
76775577
(7665532)
79171368
(10061323)
81309945
(12199900)
81974705
(12864660)
83845539
(913485)
85001860
(2069806)
85555811
(2623757)
87130914
(4198860)