User:Lériendil/ET harmonic testing page

Revision as of 20:32, 5 October 2024 by Lériendil (talk | contribs) (Undo revision 158660 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 odd harmonics in 76ed7/3
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) +8.84 -6.98 +8.84 -1.63 -1.62 -1.31 +1.86 -2.52 -2.07 -1.63 -4.71 +5.34 +7.21 -0.70 -0.35
Relative (%) +45.8 -36.2 +45.8 -8.4 -8.4 -6.8 +9.6 -13.0 -10.7 -8.4 -24.4 +27.7 +37.4 -3.6 -1.8
Steps
(reduced)
99
(23)
144
(68)
175
(23)
197
(45)
215
(63)
230
(2)
243
(15)
254
(26)
264
(36)
273
(45)
281
(53)
289
(61)
296
(68)
302
(74)
308
(4)
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 47521edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.00 -0.00 -0.01 -0.01 +0.01 +0.01 -0.01 +0.01 -0.00 -0.00 -0.01 -0.01 -0.01 +0.01 +0.01
Relative (%) +0.0 -0.3 -34.5 -31.3 +35.0 +40.4 -32.2 +23.7 -18.8 -11.5 -36.3 -43.3 -22.9 +47.3 +38.3
Steps
(reduced)
47521
(0)
75319
(27798)
110340
(15298)
133408
(38366)
164396
(21833)
175849
(33286)
194240
(4156)
201866
(11782)
214964
(24880)
230856
(40772)
235428
(45344)
247558
(9953)
254596
(16991)
257862
(20257)
263960
(26355)
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