2901533edo: Difference between revisions

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Hardcode consistency to fix Lua error (CPU time limit exceeded), values taken from Minimal consistent edos
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m Extend prime harmonics table as far as the system will permit.
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== Theory ==
== Theory ==
{{Harmonics in equal|2901533}}
{{Harmonics in equal|2901533}}
{{Harmonics in equal|2901533|columns=11|start=12|title=Approximation of prime harmonics in 2901533edo (continued)}}
{{Harmonics in equal|2901533|columns=11|start=23|title=Approximation of prime harmonics in 2901533edo (continued)}}

Revision as of 00:09, 10 May 2023

← 2901532edo 2901533edo 2901534edo →
Prime factorization 433 × 6701
Step size 0.000413574 ¢ 
Fifth 1697288\2901533 (701.955 ¢)
Semitones (A1:m2) 274884:218159 (113.7 ¢ : 90.22 ¢)
Consistency limit 131
Distinct consistency limit 131

Template:EDO intro

Theory

Approximation of prime harmonics in 2901533edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000004 +0.000021 -0.000001 +0.000018 -0.000132 +0.000057 -0.000121 -0.000071 -0.000034
Relative (%) +0.0 +0.0 +0.9 +5.1 -0.3 +4.3 -32.0 +13.8 -29.3 -17.1 -8.3
Steps
(reduced)
2901533
(0)
4598821
(1697288)
6737151
(934085)
8145633
(2342567)
10037655
(1333056)
10736948
(2032349)
11859908
(253776)
12325502
(719370)
13125264
(1519132)
14095592
(2489460)
14374764
(2768632)
Approximation of prime harmonics in 2901533edo (continued)
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +0.000061 +0.000025 -0.000104 +0.000060 -0.000091 +0.000027 -0.000041 +0.000014 -0.000086 -0.000092 +0.000056
Relative (%) +14.8 +5.9 -25.3 +14.5 -22.0 +6.5 -9.9 +3.3 -20.9 -22.2 +13.4
Steps
(reduced)
15115401
(607736)
15545114
(1037449)
15744486
(1236821)
16116823
(1609158)
16619750
(2112085)
17068683
(2561018)
17208230
(2700565)
17600958
(191760)
17843694
(434496)
17959980
(550782)
18290628
(881430)
Approximation of prime harmonics in 2901533edo (continued)
Harmonic 83 89 97 101 103 107 109 113 127 131 137
Error Absolute (¢) -0.000118 -0.000103 +0.000038 -0.000140 +0.000027 +0.000029 -0.000070 -0.000135 -0.000101 +0.000024 -0.000134
Relative (%) -28.6 -24.9 +9.1 -33.8 +6.6 +7.1 -16.8 -32.5 -24.5 +5.8 -32.4
Steps
(reduced)
18497387
(1088189)
18789554
(1380356)
19149865
(1740667)
19319020
(1909822)
19401102
(1991904)
19560589
(2151391)
19638110
(2228912)
19788974
(2379776)
20277899
(2868701)
20407709
(96978)
20595174
(284443)