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|2035|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|914|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|825|2|1|prec=4|columns=15|intervals=odd}}
{{Harmonics in equal|825|2|1|prec=4|columns=15|intervals=odd}}

Revision as of 22:35, 10 April 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 914edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.6871 +0.0000 +0.0296 +0.1732 +0.1046 +0.1419 -0.2421 +0.7252 +0.8292 -0.9383 +0.1345 -0.2797 +0.9605 -0.3392 -0.3405
Relative (%) +33.0 +0.0 +1.4 +8.3 +5.0 +6.8 -11.6 +34.9 +39.8 -45.1 +6.5 -13.4 +46.2 -16.3 -16.4
Steps
(reduced)
577
(577)
914
(0)
1339
(425)
1619
(705)
1995
(167)
2134
(306)
2357
(529)
2450
(622)
2609
(781)
2801
(59)
2857
(115)
3004
(262)
3090
(348)
3129
(387)
3203
(461)
Approximation of odd harmonics in 825edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) +0.5905 +0.5954 -0.0986 -0.2736 -0.0452 +0.1996 -0.2687 -0.2281 +0.6688 +0.4918 +0.0893 -0.2638 +0.3168 +0.2410 -0.3083
Relative (%) +40.6 +40.9 -6.8 -18.8 -3.1 +13.7 -18.5 -15.7 +46.0 +33.8 +6.1 -18.1 +21.8 +16.6 -21.2
Steps
(reduced)
1308
(483)
1916
(266)
2316
(666)
2615
(140)
2854
(379)
3053
(578)
3223
(748)
3372
(72)
3505
(205)
3624
(324)
3732
(432)
3831
(531)
3923
(623)
4008
(708)
4087
(787)