User:Aura/Archangelic EDO checks (continued)

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This picks up from where Archangelic EDO checking left off.

15X

← 2858054edo 2858055edo 2858056edo →
Prime factorization 3 × 5 × 190537
Step size 0.000419866¢ 
Fifth 1671855\2858055 (701.955¢) (→111457\190537)
Semitones (A1:m2) 270765:214890 (113.7¢ : 90.22¢)
Consistency limit 15
Distinct consistency limit 15
Approximation of prime harmonics in 2858055edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 +0.000069 -0.000100 +0.000163 -0.000197 +0.000056 +0.000053 +0.000195 -0.000100
Relative (%) +0.0 +0.0 -20.1 +22.8 +16.5 -23.9 +38.9 -46.9 +13.4 +12.7 +46.4 -23.9
Steps
(reduced) 		2858055
(0) 		4529910
(1671855) 		6636198
(920088) 		8023575
(2307465) 		9887246
(1313081) 		10576060
(2001895) 		11682194
(249974) 		12140810
(708590) 		12928589
(1496369) 		13884377
(2452157) 		14159366
(2727146) 		14888904
(598629)

16X

← 3048591edo 3048592edo 3048593edo →
Prime factorization 24 × 190537
Step size 0.000393624¢ 
Fifth 1783312\3048592 (701.955¢) (→111457\190537)
Semitones (A1:m2) 288816:229216 (113.7¢ : 90.22¢)
Consistency limit 5
Distinct consistency limit 5
Approximation of prime harmonics in 3048592edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000163 +0.000096 +0.000174 +0.000031 +0.000190 +0.000065 +0.000082 +0.000001 -0.000094 +0.000057
Relative (%) +0.0 +0.0 -41.5 +24.3 +44.3 +7.9 +48.2 +16.6 +20.9 +0.2 -23.8 +14.5
Steps
(reduced) 		3048592
(0) 		4831904
(1783312) 		7078611
(981427) 		8558480
(2461296) 		10546396
(1400620) 		11281131
(2135355) 		12461007
(266639) 		12950198
(755830) 		13790495
(1596127) 		14810002
(2615634) 		15103323
(2908955) 		15881498
(638538)

17X

← 3239128edo 3239129edo 3239130edo →
Prime factorization 17 × 190537
Step size 0.00037047¢ 
Fifth 1894769\3239129 (701.955¢) (→111457\190537)
Semitones (A1:m2) 306867:243542 (113.7¢ : 90.22¢)
Consistency limit 9
Distinct consistency limit 9
Approximation of prime harmonics in 3239129edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 +0.000138 +0.000096 -0.000104 +0.000147 -0.000158 -0.000074 +0.000106 -0.000045 +0.000022 -0.000174
Relative (%) +0.0 +0.0 +37.2 +25.9 -27.9 +39.6 -42.6 -19.9 +28.5 -12.3 +5.9 -47.1
Steps
(reduced) 		3239129
(0) 		5133898
(1894769) 		7521025
(1042767) 		9093385
(2615127) 		11205545
(1488158) 		11986202
(2268815) 		13239819
(283303) 		13759585
(803069) 		14652401
(1695885) 		15735627
(2779111) 		16047281
(3090765) 		16874091
(678446)

18X

← 3429665edo 3429666edo 3429667edo →
Prime factorization 2 × 32 × 190537
Step size 0.000349888¢ 
Fifth 2006226\3429666 (701.955¢) (→111457\190537)
Semitones (A1:m2) 324918:257868 (113.7¢ : 90.22¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 3429666edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 -0.000001 -0.000100 -0.000116 +0.000153 +0.000126 -0.000087 +0.000125 -0.000030
Relative (%) +0.0 +0.0 +15.9 +27.4 -0.2 -28.6 -33.3 +43.7 +36.0 -24.8 +35.7 -8.7
Steps
(reduced) 		3429666
(0) 		5435892
(2006226) 		7963438
(1104106) 		9628290
(2768958) 		11864695
(1575697) 		12691272
(2402274) 		14018632
(299968) 		14568973
(850309) 		15514307
(1795643) 		16661252
(2942588) 		16991239
(3272575) 		17866685
(718355)

19X

← 3620202edo 3620203edo 3620204edo →
Prime factorization 19 × 190537
Step size 0.000331473¢ 
Fifth 2117683\3620203 (701.955¢) (→111457\190537)
Semitones (A1:m2) 342969:272194 (113.7¢ : 90.22¢)
Consistency limit 15
Distinct consistency limit 15
Approximation of prime harmonics in 3620203edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000018 +0.000096 +0.000091 +0.000010 -0.000080 +0.000024 +0.000145 -0.000123 -0.000115 +0.000099
Relative (%) +0.0 +0.0 -5.5 +28.9 +27.6 +3.1 -24.0 +7.2 +43.6 -37.3 -34.5 +29.7
Steps
(reduced) 		3620203
(0) 		5737886
(2117683) 		8405851
(1165445) 		10163195
(2922789) 		12523845
(1663236) 		13396343
(2535734) 		14797445
(316633) 		15378360
(897548) 		16376213
(1895401) 		17586877
(3106065) 		17935196
(3454384) 		18859279
(758264)

20X

← 3810739edo 3810740edo 3810741edo →
Prime factorization 22 × 5 × 190537
Step size 0.000314899¢ 
Fifth 2229140\3810740 (701.955¢) (→111457\190537)
Semitones (A1:m2) 361020:286520 (113.7¢ : 90.22¢)
Consistency limit 5
Distinct consistency limit 5
Approximation of prime harmonics in 3810740edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 -0.000141 +0.000110 -0.000047 -0.000092 -0.000154 -0.000157 -0.000015 -0.000100
Relative (%) +0.0 +0.0 -26.8 +30.4 -44.6 +34.8 -14.8 -29.3 -48.8 -49.7 -4.8 -31.9
Steps
(reduced) 		3810740
(0) 		6039880
(2229140) 		8848264
(1226784) 		10698100
(3076620) 		13182994
(1750774) 		14101414
(2669194) 		15576258
(333298) 		16187747
(944787) 		17238118
(1995158) 		18512502
(3269542) 		18879154
(3636194) 		19851872
(798172)

21X

← 4001276edo 4001277edo 4001278edo →
Prime factorization 3 × 7 × 190537
Step size 0.000299904¢ 
Fifth 2340597\4001277 (701.955¢) (→111457\190537)
Semitones (A1:m2) 379071:300846 (113.7¢ : 90.22¢)
Consistency limit 5
Distinct consistency limit 5
Approximation of prime harmonics in 4001277edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000144 +0.000096 -0.000051 -0.000100 -0.000017 +0.000103 -0.000124 +0.000113 +0.000075 +0.000020
Relative (%) +0.0 +0.0 -48.2 +32.0 -16.9 -33.4 -5.5 +34.3 -41.3 +37.8 +25.0 +6.6
Steps
(reduced) 		4001277
(0) 		6341874
(2340597) 		9290677
(1288123) 		11233005
(3230451) 		13842144
(1838313) 		14806484
(2802653) 		16355071
(349963) 		16997135
(992027) 		18100024
(2094916) 		19438128
(3433020) 		19823112
(3818004) 		20844466
(838081)

22X

← 4191813edo 4191814edo 4191815edo →
Prime factorization 2 × 11 × 190537
Step size 0.000286272¢ 
Fifth 2452054\4191814 (701.955¢) (→111457\190537)
Semitones (A1:m2) 397122:315172 (113.7¢ : 90.22¢)
Consistency limit 21
Distinct consistency limit 21
Approximation of prime harmonics in 4191814edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 +0.000087 +0.000096 +0.000031 -0.000005 +0.000011 -0.000006 -0.000097 +0.000072 -0.000130 +0.000129
Relative (%) +0.0 +0.0 +30.5 +33.5 +10.9 -1.7 +3.8 -2.2 -33.7 +25.3 -45.3 +45.0
Steps
(reduced) 		4191814
(0) 		6643868
(2452054) 		9733091
(1349463) 		11767910
(3384282) 		14501294
(1925852) 		15511555
(2936113) 		17133884
(366628) 		17806522
(1039266) 		18961930
(2194674) 		20363753
(3596497) 		20767069
(3999813) 		21837060
(877990)

23X

← 4382350edo 4382351edo 4382352edo →
Prime factorization 23 × 190537
Step size 0.000273826¢ 
Fifth 2563511\4382351 (701.955¢) (→111457\190537)
Semitones (A1:m2) 415173:329498 (113.7¢ : 90.22¢)
Consistency limit 17
Distinct consistency limit 17
Approximation of prime harmonics in 4382351edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 +0.000025 +0.000096 +0.000106 +0.000082 +0.000036 -0.000106 -0.000072 +0.000035 -0.000042 -0.000046
Relative (%) +0.0 +0.0 +9.1 +35.0 +38.7 +30.1 +13.0 -38.6 -26.2 +12.8 -15.5 -16.6
Steps
(reduced) 		4382351
(0) 		6945862
(2563511) 		10175504
(1410802) 		12302815
(3538113) 		15160444
(2013391) 		16216626
(3069573) 		17912697
(383293) 		18615909
(1086505) 		19823836
(2294432) 		21289378
(3759974) 		21711027
(4181623) 		22829653
(917898)

24X

← 4572887edo 4572888edo 4572889edo →
Prime factorization 23 × 3 × 190537
Step size 0.000262416¢ 
Fifth 2674968\4572888 (701.955¢) (→111457\190537)
Semitones (A1:m2) 433224:343824 (113.7¢ : 90.22¢)
Consistency limit 9
Distinct consistency limit 9
Approximation of prime harmonics in 4572888edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000032 +0.000096 -0.000088 -0.000100 +0.000058 +0.000065 -0.000049 +0.000001 +0.000037 +0.000057
Relative (%) +0.0 +0.0 -12.2 +36.5 -33.6 -38.2 +22.3 +24.9 -18.6 +0.3 +14.3 +21.8
Steps
(reduced) 		4572888
(0) 		7247856
(2674968) 		10617917
(1472141) 		12837720
(3691944) 		15819593
(2100929) 		16921696
(3203032) 		18691510
(399958) 		19425297
(1133745) 		20685742
(2394190) 		22215003
(3923451) 		22654985
(4363433) 		23822247
(957807)

25X

← 4763424edo 4763425edo 4763426edo →
Prime factorization 52 × 190537
Step size 0.00025192¢ 
Fifth 2786425\4763425 (701.955¢) (→111457\190537)
Semitones (A1:m2) 451275:358150 (113.7¢ : 90.22¢)
Consistency limit 5
Distinct consistency limit 5
Approximation of prime harmonics in 4763425edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 -0.000015 -0.000016 +0.000079 -0.000029 -0.000028 -0.000031 +0.000111 -0.000100
Relative (%) +0.0 +0.0 -33.5 +38.0 -5.8 -6.4 +31.5 -11.6 -11.1 -12.2 +44.0 -39.8
Steps
(reduced) 		4763425
(0) 		7549850
(2786425) 		11060330
(1533480) 		13372625
(3845775) 		16478743
(2188468) 		17626767
(3336492) 		19470323
(416623) 		20234684
(1180984) 		21547648
(2493948) 		23140628
(4086928) 		23598943
(4545243) 		24814840
(997715)

26X

← 4953961edo 4953962edo 4953963edo →
Prime factorization 2 × 13 × 190537
Step size 0.00024223¢ 
Fifth 2897882\4953962 (701.955¢) (→111457\190537)
Semitones (A1:m2) 469326:372476 (113.7¢ : 90.22¢)
Consistency limit 17
Distinct consistency limit 17
Approximation of prime harmonics in 4953962edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 +0.000109 +0.000096 +0.000053 +0.000061 +0.000099 -0.000116 -0.000008 -0.000060 -0.000064 -0.000003
Relative (%) +0.0 +0.0 +45.1 +39.6 +22.0 +25.3 +40.8 -48.0 -3.5 -24.7 -26.2 -1.4
Steps
(reduced) 		4953962
(0) 		7851844
(2897882) 		11502744
(1594820) 		13907530
(3999606) 		17137893
(2276007) 		18331838
(3469952) 		20249136
(433288) 		21044071
(1228223) 		22409554
(2593706) 		24066253
(4250405) 		24542900
(4727052) 		25807434
(1037624)

27X

← 5144498edo 5144499edo 5144500edo →
Prime factorization 33 × 190537
Step size 0.000233259¢ 
Fifth 3009339\5144499 (701.955¢) (→111457\190537)
Semitones (A1:m2) 487377:386802 (113.7¢ : 90.22¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 5144499edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 +0.000116 -0.000100 -0.000116 +0.000036 +0.000009 -0.000087 +0.000008 +0.000086
Relative (%) +0.0 +0.0 +23.8 +41.1 +49.7 -43.0 -49.9 +15.5 +4.1 -37.1 +3.5 +37.0
Steps
(reduced) 		5144499
(0) 		8153838
(3009339) 		11945157
(1656159) 		14442435
(4153437) 		17797043
(2363546) 		19036908
(3603411) 		21027948
(449952) 		21853459
(1275463) 		23271460
(2693464) 		24991878
(4413882) 		25486858
(4908862) 		26800028
(1077533)

28X

← 5335035edo 5335036edo 5335037edo →
Prime factorization 22 × 7 × 190537
Step size 0.000224928¢ 
Fifth 3120796\5335036 (701.955¢) (→111457\190537)
Semitones (A1:m2) 505428:401128 (113.7¢ : 90.22¢)
Consistency limit 9
Distinct consistency limit 9
Approximation of prime harmonics in 5335036edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37
Error Absolute (¢) +0.0000000 +0.0000000 +0.0000055 +0.0000958 -0.0000506 -0.0000252 -0.0000915 -0.0000471 +0.0000261 -0.0001116 +0.0000749 -0.0000553
Relative (%) +0.0 +0.0 +2.4 +42.6 -22.5 -11.2 -40.7 -21.0 +11.6 -49.6 +33.3 -24.6
Steps
(reduced) 		5335036
(0) 		8455832
(3120796) 		12387570
(1717498) 		14977340
(4307268) 		18456192
(2451084) 		19741979
(3736871) 		21806761
(466617) 		22662846
(1322702) 		24133366
(2793222) 		25917503
(4577359) 		26430816
(5090672) 		27792621
(1117441)
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