User:Lériendil/ET harmonic testing page: Difference between revisions

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{{Harmonics in equal|76|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|76|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|152|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|152|7|3|prec=2|columns=15|intervals=odd}}
{{Harmonics in equal|328|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|722|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|1304|2|1|prec=4|columns=15|intervals=odd}}
{{Harmonics in equal|1304|2|1|prec=4|columns=15|intervals=odd}}

Revision as of 13:52, 21 January 2025

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 722edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +1.2347 +0.0000 +0.7616 +0.4268 +0.3179 +0.8797 +0.0864 -0.1682 +0.9906 +0.0993 +0.5495 -0.1817 +1.2314 +0.4390 -0.7613
Relative (%) +46.9 +0.0 +28.9 +16.2 +12.1 +33.4 +3.3 -6.4 +37.6 +3.8 +20.9 -6.9 +46.7 +16.7 -28.9
Steps
(reduced)
456
(456)
722
(0)
1058
(336)
1279
(557)
1576
(132)
1686
(242)
1862
(418)
1935
(491)
2061
(617)
2213
(47)
2257
(91)
2373
(207)
2441
(275)
2472
(306)
2530
(364)
Approximation of odd harmonics in 1304edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) +0.1922 +0.1894 +0.1925 +0.3845 -0.0909 -0.3436 +0.3816 -0.0474 -0.2738 +0.3847 +0.2533 +0.3787 -0.3435 +0.1774 -0.2503
Relative (%) +20.9 +20.6 +20.9 +41.8 -9.9 -37.3 +41.5 -5.2 -29.7 +41.8 +27.5 +41.2 -37.3 +19.3 -27.2
Steps
(reduced)
2067
(763)
3028
(420)
3661
(1053)
4134
(222)
4511
(599)
4825
(913)
5095
(1183)
5330
(114)
5539
(323)
5728
(512)
5899
(683)
6056
(840)
6200
(984)
6335
(1119)
6460
(1244)