User:Lériendil/ET harmonic testing page

Revision as of 00:09, 8 September 2025 by Lériendil (talk | contribs) (Undo revision 209540 by Lériendil (talk))
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 2815ed104
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) -0.35 +0.35 -1.41 -1.23 -1.09 +1.04 -0.66 +1.01 -1.28 +0.16 -1.04 +1.13 +0.50 +0.88 +1.13
Relative (%) -12.2 +12.3 -49.2 -43.1 -38.2 +36.5 -23.2 +35.4 -44.6 +5.7 -36.5 +39.6 +17.6 +30.9 +39.7
Steps
(reduced)
420
(420)
666
(666)
975
(975)
1179
(1179)
1453
(1453)
1555
(1555)
1717
(1717)
1785
(1785)
1900
(1900)
2041
(2041)
2081
(2081)
2189
(2189)
2251
(2251)
2280
(2280)
2334
(2334)
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 2380edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.0000 -0.1063 -0.0952 +0.2497 -0.2255 -0.0235 -0.0815 -0.0340 -0.0391 +0.0026 +0.0064 -0.2516 +0.0132 +0.2470 +0.0396
Relative (%) +0.0 -21.1 -18.9 +49.5 -44.7 -4.7 -16.2 -6.7 -7.7 +0.5 +1.3 -49.9 +2.6 +49.0 +7.9
Steps
(reduced)
2380
(0)
3772
(1392)
5526
(766)
6682
(1922)
8233
(1093)
8807
(1667)
9728
(208)
10110
(590)
10766
(1246)
11562
(2042)
11791
(2271)
12398
(498)
12751
(851)
12915
(1015)
13220
(1320)