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

From Xenharmonic Wiki
Jump to navigation Jump to search
Lériendil (talk | contribs)
No edit summary
Lériendil (talk | contribs)
No edit summary
Line 9: Line 9:
{{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|525|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|525|3|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|324296|2|1|prec=4|columns=15|intervals=prime}}
{{Harmonics in equal|324296|2|1|prec=4|columns=20|intervals=prime}}

Revision as of 14:42, 18 December 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 525edt
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) -0.8627 +0.0000 -0.4025 +0.3515 +0.3781 +0.9901 +0.2771 -0.2736 -1.3627 -0.5380 -0.0677 +1.5594 +1.3569 -1.3974 +0.3928
Relative (%) -23.8 +0.0 -11.1 +9.7 +10.4 +27.3 +7.6 -7.6 -37.6 -14.8 -1.9 +43.0 +37.5 -38.6 +10.8
Steps
(reduced)
331
(331)
525
(0)
769
(244)
930
(405)
1146
(96)
1226
(176)
1354
(304)
1407
(357)
1498
(448)
1609
(34)
1641
(66)
1726
(151)
1775
(200)
1797
(222)
1840
(265)
Approximation of prime harmonics in 324296edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71
Error Absolute (¢) +0.0000 +0.0000 +0.0000 +0.0001 +0.0006 +0.0007 +0.0006 +0.0004 -0.0002 +0.0007 -0.0002 +0.0004 +0.0012 +0.0002 +0.0002 +0.0011 +0.0014 -0.0015 -0.0017 -0.0015
Relative (%) +0.0 +0.1 +0.7 +2.8 +16.4 +20.1 +15.0 +9.9 -4.8 +19.5 -4.7 +11.1 +31.5 +4.5 +5.4 +30.8 +39.0 -39.6 -46.0 -39.2
Steps
(reduced)
324296
(0)
513997
(189701)
752992
(104400)
910414
(261822)
1121880
(148992)
1200038
(227150)
1325548
(28364)
1377586
(80402)
1466973
(169789)
1575424
(278240)
1606626
(309442)
1689405
(67925)
1737433
(115953)
1759716
(138236)
1801331
(179851)
1857542
(236062)
1907718
(286238)
1923314
(301834)
1967208
(21432)
1994338
(48562)