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|1231|2|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|1147|2|1|prec=4|columns=15|intervals=prime}}

Revision as of 18:53, 3 November 2024

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 1147edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.0000 +0.0502 -0.2631 -0.0378 +0.0334 -0.4230 -0.3347 -0.3901 +0.4964 -0.1090 -0.4846 -0.2542 -0.1173 +0.0778 -0.1187
Relative (%) +0.0 +4.8 -25.2 -3.6 +3.2 -40.4 -32.0 -37.3 +47.4 -10.4 -46.3 -24.3 -11.2 +7.4 -11.3
Steps
(reduced)
1147
(0)
1818
(671)
2663
(369)
3220
(926)
3968
(527)
4244
(803)
4688
(100)
4872
(284)
5189
(601)
5572
(984)
5682
(1094)
5975
(240)
6145
(410)
6224
(489)
6371
(636)