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

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{{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|2035|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|2564|2|1|prec=4|columns=15|intervals=odd}}
{{Harmonics in equal|3111|2|1|prec=4|columns=15|intervals=odd}}

Revision as of 23:34, 28 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 2035edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.0542 +0.0000 -0.2067 -0.4496 +0.2713 -0.1403 -0.0611 -0.0867 +0.0080 -0.3421 +0.0926 +0.3400 +0.1997 -0.0089 +0.2148
Relative (%) +5.8 +0.0 -22.1 -48.1 +29.0 -15.0 -6.5 -9.3 +0.9 -36.6 +9.9 +36.4 +21.4 -0.9 +23.0
Steps
(reduced)
1284
(1284)
2035
(0)
2981
(946)
3604
(1569)
4442
(372)
4751
(681)
5248
(1178)
5454
(1384)
5808
(1738)
6237
(132)
6361
(256)
6689
(584)
6879
(774)
6967
(862)
7132
(1027)
Approximation of odd harmonics in 3111edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31
Error Absolute (¢) +0.0701 +0.1858 +0.1230 +0.1401 -0.1125 -0.0262 -0.1299 -0.0374 -0.1167 -0.1927 +0.0767 -0.0141 -0.1755 -0.0690 +0.1910
Relative (%) +18.2 +48.2 +31.9 +36.3 -29.2 -6.8 -33.7 -9.7 -30.2 -50.0 +19.9 -3.7 -45.5 -17.9 +49.5
Steps
(reduced)
4931
(1820)
7224
(1002)
8734
(2512)
9862
(529)
10762
(1429)
11512
(2179)
12154
(2821)
12716
(272)
13215
(771)
13664
(1220)
14073
(1629)
14447
(2003)
14792
(2348)
15113
(2669)
15413
(2969)