User:BudjarnLambeth/Sandbox: Difference between revisions

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== Sandbox ==
== Sandbox ==


{{Harmonics in equal|41|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|61|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|43|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|63|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|45|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|65|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|47|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|67|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|49|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|69|9|4|intervals=prime|columns=6}}




{{Harmonics in equal|51|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|71|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|53|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|73|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|55|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|75|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|57|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|77|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|59|9|4|intervals=prime|columns=6}}
{{Harmonics in equal|79|9|4|intervals=prime|columns=6}}
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Revision as of 01:50, 22 May 2025

This is a working out sandbox page, not a content page.


Sandbox

Approximation of prime harmonics in 61ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) -3.2 +8.3 -1.5 -8.6 -8.6 +1.4
Relative (%) -14.0 +36.0 -6.6 -37.6 -37.5 +5.9
Steps
(reduced)
52
(52)
83
(22)
121
(60)
146
(24)
180
(58)
193
(10)
Approximation of prime harmonics in 63ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +3.35 -7.79 -0.78 -3.90 -6.44 -5.95
Relative (%) +15.0 -35.0 -3.5 -17.5 -28.9 -26.7
Steps
(reduced)
54
(54)
85
(22)
125
(62)
151
(25)
186
(60)
199
(10)
Approximation of prime harmonics in 65ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +9.52 -1.28 -0.09 +0.56 -4.38 +8.79
Relative (%) +44.1 -5.9 -0.4 +2.6 -20.3 +40.7
Steps
(reduced)
56
(56)
88
(23)
129
(64)
156
(26)
192
(62)
206
(11)
Approximation of prime harmonics in 67ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) -5.63 +4.85 +0.55 +4.75 -2.45 +1.70
Relative (%) -26.9 +23.1 +2.6 +22.7 -11.7 +8.1
Steps
(reduced)
57
(57)
91
(24)
133
(66)
161
(27)
198
(64)
212
(11)
Approximation of prime harmonics in 69ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +0.44 -9.73 +1.16 +8.70 -0.63 -4.99
Relative (%) +2.2 -47.8 +5.7 +42.7 -3.1 -24.5
Steps
(reduced)
59
(59)
93
(24)
137
(68)
166
(28)
204
(66)
218
(11)


Approximation of prime harmonics in 71ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +6.18 -3.71 +1.73 -7.35 +1.09 +8.48
Relative (%) +31.2 -18.8 +8.8 -37.2 +5.5 +42.9
Steps
(reduced)
61
(61)
96
(25)
141
(70)
170
(28)
210
(68)
225
(12)
Approximation of prime harmonics in 73ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) -7.64 +1.98 +2.27 -3.29 +2.72 +1.98
Relative (%) -39.7 +10.3 +11.8 -17.1 +14.1 +10.3
Steps
(reduced)
62
(62)
99
(26)
145
(72)
175
(29)
216
(70)
231
(12)
Approximation of prime harmonics in 75ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) -2.00 +7.36 +2.79 +0.56 +4.26 -4.17
Relative (%) -10.7 +39.3 +14.9 +3.0 +22.7 -22.3
Steps
(reduced)
64
(64)
102
(27)
149
(74)
180
(30)
222
(72)
237
(12)
Approximation of prime harmonics in 77ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +3.35 -5.76 +3.27 +4.20 +5.71 +8.23
Relative (%) +18.4 -31.6 +18.0 +23.1 +31.3 +45.1
Steps
(reduced)
66
(66)
104
(27)
153
(76)
185
(31)
228
(74)
244
(13)
Approximation of prime harmonics in 79ed9/4
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +8.43 -0.46 +3.74 +7.67 +7.10 +2.23
Relative (%) +47.4 -2.6 +21.0 +43.1 +39.9 +12.5
Steps
(reduced)
68
(68)
107
(28)
157
(78)
190
(32)
234
(76)
250
(13)

































































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