User:Aura/Archangelic EDO checks: Difference between revisions

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This page is dedicated to collecting data on EDOs tempering out the [[Archangelic comma]].
This page is dedicated to collecting data on EDOs tempering out the [[Archangelic comma]].


== 1X ==
{{Infobox ET|190537edo}}
{{Harmonics in equal|190537}}
{{Harmonics in equal|190537}}


== 2X ==
{{Infobox ET|381074edo}}
{{Harmonics in equal|381074}}
{{Harmonics in equal|381074}}


== 3X ==
{{Infobox ET|571611edo}}
{{Harmonics in equal|571611}}
{{Harmonics in equal|571611}}


== 4X ==
{{Infobox ET|762148edo}}
{{Harmonics in equal|762148}}
{{Harmonics in equal|762148}}


== 5X ==
{{Infobox ET|952685edo}}
{{Harmonics in equal|952685}}
{{Harmonics in equal|952685}}


== 6X ==
{{Infobox ET|1143222edo}}
{{Harmonics in equal|1143222}}
{{Harmonics in equal|1143222}}


== 7X ==
{{Infobox ET|1333759edo}}
{{Harmonics in equal|1333759}}
{{Harmonics in equal|1333759}}


== 8X ==
{{Infobox ET|1524296edo}}
{{Harmonics in equal|1524296}}
{{Harmonics in equal|1524296}}


== 9X ==
{{Infobox ET|1714833edo}}
{{Harmonics in equal|1714833}}
{{Harmonics in equal|1714833}}


== 10X ==
{{Infobox ET|1905370edo}}
{{Harmonics in equal|1905370}}
{{Harmonics in equal|1905370}}


== 11X ==
{{Infobox ET|2095907edo}}
{{Harmonics in equal|2095907}}
{{Harmonics in equal|2095907}}


== 12X ==
{{Infobox ET|2286444edo}}
{{Harmonics in equal|2286444}}
{{Harmonics in equal|2286444}}


== 13X ==
{{Infobox ET|2476981edo}}
{{Harmonics in equal|2476981}}
{{Harmonics in equal|2476981}}


== 14X ==
{{Infobox ET|2667518edo}}
{{Harmonics in equal|2667518}}
{{Harmonics in equal|2667518}}


== 15X ==
{{Infobox ET|2858055edo}}
{{Harmonics in equal|2858055}}
{{Harmonics in equal|2858055}}


== 16X ==
{{Infobox ET|3048592edo}}
{{Harmonics in equal|3048592}}
{{Harmonics in equal|3048592}}


== 17X ==
{{Infobox ET|3239129edo}}
{{Harmonics in equal|3239129}}
{{Harmonics in equal|3239129}}


== 18X ==
{{Infobox ET|3429666edo}}
{{Harmonics in equal|3429666}}
{{Harmonics in equal|3429666}}


== 19X ==
{{Infobox ET|3620203edo}}
{{Harmonics in equal|3620203}}
{{Harmonics in equal|3620203}}


== 20X ==
{{Infobox ET|3810740edo}}
{{Harmonics in equal|3810740}}
{{Harmonics in equal|3810740}}


== 21X ==
{{Infobox ET|4001277edo}}
{{Harmonics in equal|4001277}}
{{Harmonics in equal|4001277}}


== 22X ==
{{Infobox ET|4191814edo}}
{{Harmonics in equal|4191814}}
{{Harmonics in equal|4191814}}


== 23X ==
{{Infobox ET|4382351edo}}
{{Harmonics in equal|4382351}}
{{Harmonics in equal|4382351}}


== 24X ==
{{Infobox ET|4572888edo}}
{{Harmonics in equal|4572888}}
{{Harmonics in equal|4572888}}


== 25X ==
{{Infobox ET|4763425edo}}
{{Harmonics in equal|4763425}}
{{Harmonics in equal|4763425}}


== 26X ==
{{Infobox ET|4953962edo}}
{{Harmonics in equal|4953962}}
{{Harmonics in equal|4953962}}


== 27X ==
{{Infobox ET|5144499edo}}
{{Harmonics in equal|5144499}}
{{Harmonics in equal|5144499}}


== 28X ==
{{Infobox ET|5335036edo}}
{{Harmonics in equal|5335036}}
{{Harmonics in equal|5335036}}

Revision as of 16:46, 22 December 2022

This page is dedicated to collecting data on EDOs tempering out the Archangelic comma.

1X

← 190536edo 190537edo 190538edo →
Prime factorization 190537 (prime)
Step size 0.00629799 ¢ 
Fifth 111457\190537 (701.955 ¢)
(convergent)
Semitones (A1:m2) 18051:14326 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 190537edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00000 +0.00000 -0.00134 +0.00010 +0.00175 +0.00200 +0.00058 -0.00230 +0.00048 -0.00079 +0.00187
Relative (%) +0.0 +0.0 -21.3 +1.5 +27.8 +31.7 +9.3 -36.5 +7.6 -12.5 +29.8
Steps
(reduced) 		190537
(0) 		301994
(111457) 		442413
(61339) 		534905
(153831) 		659150
(87539) 		705071
(133460) 		778813
(16665) 		809387
(47239) 		861906
(99758) 		925625
(163477) 		943958
(181810)

2X

← 381073edo 381074edo 381075edo →
Prime factorization 2 × 190537
Step size 0.00314899 ¢ 
Fifth 222914\381074 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 36102:28652 (113.7 ¢ : 90.22 ¢)
Consistency limit 15
Distinct consistency limit 15
Approximation of prime harmonics in 381074edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00000 +0.00000 -0.00134 +0.00010 -0.00140 -0.00115 +0.00058 +0.00085 +0.00048 -0.00079 -0.00127
Relative (%) +0.0 +0.0 -42.7 +3.0 -44.5 -36.5 +18.5 +27.1 +15.1 -25.0 -40.5
Steps
(reduced) 		381074
(0) 		603988
(222914) 		884826
(122678) 		1069810
(307662) 		1318299
(175077) 		1410141
(266919) 		1557626
(33330) 		1618775
(94479) 		1723812
(199516) 		1851250
(326954) 		1887915
(363619)

3X

← 571610edo 571611edo 571612edo →
Prime factorization 3 × 190537
Step size 0.00209933 ¢ 
Fifth 334371\571611 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 54153:42978 (113.7 ¢ : 90.22 ¢)
Consistency limit 9
Distinct consistency limit 9
Approximation of prime harmonics in 571611edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000755 +0.000096 -0.000351 -0.000100 +0.000583 -0.000197 +0.000476 -0.000786 -0.000225
Relative (%) +0.0 +0.0 +36.0 +4.6 -16.7 -4.8 +27.8 -9.4 +22.7 -37.5 -10.7
Steps
(reduced) 		571611
(0) 		905982
(334371) 		1327240
(184018) 		1604715
(461493) 		1977449
(262616) 		2115212
(400379) 		2336439
(49995) 		2428162
(141718) 		2585718
(299274) 		2776875
(490431) 		2831873
(545429)

4X

← 762147edo 762148edo 762149edo →
Prime factorization 22 × 190537
Step size 0.0015745 ¢ 
Fifth 445828\762148 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 72204:57304 (113.7 ¢ : 90.22 ¢)
Consistency limit 17
Distinct consistency limit 17
Approximation of prime harmonics in 762148edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000230 +0.000096 +0.000174 +0.000425 +0.000583 -0.000722 +0.000476 -0.000786 +0.000300
Relative (%) +0.0 +0.0 +14.6 +6.1 +11.1 +27.0 +37.0 -45.9 +30.2 -49.9 +19.0
Steps
(reduced) 		762148
(0) 		1207976
(445828) 		1769653
(245357) 		2139620
(615324) 		2636599
(350155) 		2820283
(533839) 		3115252
(66660) 		3237549
(188957) 		3447624
(399032) 		3702500
(653908) 		3775831
(727239)

5X

← 952684edo 952685edo 952686edo →
Prime factorization 5 × 190537
Step size 0.0012596 ¢ 
Fifth 557285\952685 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 90255:71630 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 952685edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 +0.000489 -0.000520 +0.000583 +0.000223 +0.000476 +0.000473 +0.000615
Relative (%) +0.0 +0.0 -6.7 +7.6 +38.8 -41.3 +46.3 +17.7 +37.8 +37.6 +48.8
Steps
(reduced) 		952685
(0) 		1509970
(557285) 		2212066
(306696) 		2674525
(769155) 		3295749
(437694) 		3525353
(667298) 		3894065
(83325) 		4046937
(236197) 		4309530
(498790) 		4628126
(817386) 		4719789
(909049)

6X

← 1143221edo 1143222edo 1143223edo →
Prime factorization 2 × 3 × 190537
Step size 0.00104966 ¢ 
Fifth 668742\1143222 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 108306:85956 (113.7 ¢ : 90.22 ¢)
Consistency limit 15
Distinct consistency limit 15
Approximation of prime harmonics in 1143222edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 -0.000294 +0.000096 -0.000351 -0.000100 -0.000466 -0.000197 +0.000476 +0.000263 -0.000225
Relative (%) +0.0 +0.0 -28.0 +9.1 -33.4 -9.5 -44.4 -18.8 +45.3 +25.1 -21.4
Steps
(reduced) 		1143222
(0) 		1811964
(668742) 		2654479
(368035) 		3209430
(922986) 		3954898
(525232) 		4230424
(800758) 		4672877
(99989) 		4856324
(283436) 		5171436
(598548) 		5553751
(980863) 		5663746
(1090858)

7X

← 1333758edo 1333759edo 1333760edo →
Prime factorization 7 × 190537
Step size 0.000899713 ¢ 
Fifth 780199\1333759 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 126357:100282 (113.7 ¢ : 90.22 ¢)
Consistency limit 5
Distinct consistency limit 5
Approximation of prime harmonics in 1333759edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 -0.000444 +0.000096 -0.000051 +0.000200 -0.000316 +0.000403 -0.000424 +0.000113 +0.000075
Relative (%) +0.0 +0.0 -49.4 +10.7 -5.6 +22.2 -35.2 +44.8 -47.1 +12.6 +8.3
Steps
(reduced) 		1333759
(0) 		2113958
(780199) 		3096892
(429374) 		3744335
(1076817) 		4614048
(612771) 		4935495
(934218) 		5451690
(116654) 		5665712
(330676) 		6033341
(698305) 		6479376
(1144340) 		6607704
(1272668)

8X

← 1524295edo 1524296edo 1524297edo →
Prime factorization 23 × 190537
Step size 0.000787249 ¢ 
Fifth 891656\1524296 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 144408:114608 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 1524296edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000230 +0.000096 +0.000174 -0.000363 -0.000204 +0.000065 -0.000311 +0.000001 +0.000300
Relative (%) +0.0 +0.0 +29.3 +12.2 +22.1 -46.1 -25.9 +8.3 -39.5 +0.1 +38.1
Steps
(reduced) 		1524296
(0) 		2415952
(891656) 		3539306
(490714) 		4279240
(1230648) 		5273198
(700310) 		5640565
(1067677) 		6230503
(133319) 		6475099
(377915) 		6895247
(798063) 		7405001
(1307817) 		7551662
(1454478)

9X

← 1714832edo 1714833edo 1714834edo →
Prime factorization 32 × 190537
Step size 0.000699777 ¢ 
Fifth 1003113\1714833 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 162459:128934 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 1714833edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 +0.000349 -0.000100 -0.000116 -0.000197 -0.000224 -0.000087 -0.000225
Relative (%) +0.0 +0.0 +7.9 +13.7 +49.9 -14.3 -16.6 -28.2 -32.0 -12.4 -32.2
Steps
(reduced) 		1714833
(0) 		2717946
(1003113) 		3981719
(552053) 		4814145
(1384479) 		5932348
(787849) 		6345636
(1201137) 		7009316
(149984) 		7284486
(425154) 		7757153
(897821) 		8330626
(1471294) 		8495619
(1636287)

10X

← 1905369edo 1905370edo 1905371edo →
Prime factorization 2 × 5 × 190537
Step size 0.000629799 ¢ 
Fifth 1114570\1905370 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 180510:143260 (113.7 ¢ : 90.22 ¢)
Consistency limit 17
Distinct consistency limit 17
Approximation of prime harmonics in 1905370edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 -0.000141 +0.000110 -0.000047 +0.000223 -0.000154 -0.000157 -0.000015
Relative (%) +0.0 +0.0 -13.4 +15.2 -22.3 +17.4 -7.4 +35.4 -24.4 -24.9 -2.4
Steps
(reduced) 		1905370
(0) 		3019940
(1114570) 		4424132
(613392) 		5349050
(1538310) 		6591497
(875387) 		7050707
(1334597) 		7788129
(166649) 		8093874
(472394) 		8619059
(997579) 		9256251
(1634771) 		9439577
(1818097)

11X

← 2095906edo 2095907edo 2095908edo →
Prime factorization 11 × 190537
Step size 0.000572544 ¢ 
Fifth 1226027\2095907 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 198561:157586 (113.7 ¢ : 90.22 ¢)
Consistency limit 5
Distinct consistency limit 5
Approximation of prime harmonics in 2095907edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 -0.000199 +0.000096 +0.000031 +0.000282 +0.000011 -0.000006 -0.000097 -0.000214 +0.000157
Relative (%) +0.0 +0.0 -34.8 +16.7 +5.4 +49.2 +1.9 -1.1 -16.9 -37.4 +27.4
Steps
(reduced) 		2095907
(0) 		3321934
(1226027) 		4866545
(674731) 		5883955
(1692141) 		7250647
(962926) 		7755778
(1468057) 		8566942
(183314) 		8903261
(519633) 		9480965
(1097337) 		10181876
(1798248) 		10383535
(1999907)

12X

← 2286443edo 2286444edo 2286445edo →
Prime factorization 22 × 3 × 190537
Step size 0.000524832 ¢ 
Fifth 1337484\2286444 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 216612:171912 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 2286444edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000230 +0.000096 +0.000174 -0.000100 +0.000058 -0.000197 -0.000049 -0.000262 -0.000225
Relative (%) +0.0 +0.0 +43.9 +18.3 +33.2 -19.1 +11.1 -37.6 -9.3 -49.8 -42.9
Steps
(reduced) 		2286444
(0) 		3623928
(1337484) 		5308959
(736071) 		6418860
(1845972) 		7909797
(1050465) 		8460848
(1601516) 		9345755
(199979) 		9712648
(566872) 		10342871
(1197095) 		11107501
(1961725) 		11327492
(2181716)

13X

← 2476980edo 2476981edo 2476982edo →
Prime factorization 13 × 190537
Step size 0.000484461 ¢ 
Fifth 1448941\2476981 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 234663:186238 (113.7 ¢ : 90.22 ¢)
Consistency limit 9
Distinct consistency limit 9
Approximation of prime harmonics in 2476981edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000109 +0.000096 -0.000189 +0.000061 +0.000099 +0.000126 -0.000008 +0.000183 -0.000064
Relative (%) +0.0 +0.0 +22.6 +19.8 -39.0 +12.7 +20.4 +26.0 -1.7 +37.7 -13.1
Steps
(reduced) 		2476981
(0) 		3925922
(1448941) 		5751372
(797410) 		6953765
(1999803) 		8568946
(1138003) 		9165919
(1734976) 		10124568
(216644) 		10522036
(614112) 		11204777
(1296853) 		12033127
(2125203) 		12271450
(2363526)

14X

← 2667517edo 2667518edo 2667519edo →
Prime factorization 2 × 7 × 190537
Step size 0.000449856 ¢ 
Fifth 1560398\2667518 (701.955 ¢) (→ 111457\190537)
Semitones (A1:m2) 252714:200564 (113.7 ¢ : 90.22 ¢)
Consistency limit 11
Distinct consistency limit 11
Approximation of prime harmonics in 2667518edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000005 +0.000096 -0.000051 +0.000200 +0.000133 -0.000047 +0.000026 +0.000113 +0.000075
Relative (%) +0.0 +0.0 +1.2 +21.3 -11.2 +44.4 +29.7 -10.5 +5.8 +25.2 +16.7
Steps
(reduced) 		2667518
(0) 		4227916
(1560398) 		6193785
(858749) 		7488670
(2153634) 		9228096
(1225542) 		9870990
(1868436) 		10903381
(233309) 		11331423
(661351) 		12066683
(1396611) 		12958752
(2288680) 		13215408
(2545336)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 +0.000069 -0.000100 +0.000163 -0.000197 +0.000056 +0.000053 +0.000195
Relative (%) +0.0 +0.0 -20.1 +22.8 +16.5 -23.9 +38.9 -46.9 +13.4 +12.7 +46.4
Steps
(reduced) 		2858055
(0) 		4529910
(1671855) 		6636198
(920088) 		8023575
(2307465) 		9887246
(1313081) 		10576060
(2001895) 		11682194
(249974) 		12140810
(708590) 		12928589
(1496369) 		13884377
(2452157) 		14159366
(2727146)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000163 +0.000096 +0.000174 +0.000031 +0.000190 +0.000065 +0.000082 +0.000001 -0.000094
Relative (%) +0.0 +0.0 -41.5 +24.3 +44.3 +7.9 +48.2 +16.6 +20.9 +0.2 -23.8
Steps
(reduced) 		3048592
(0) 		4831904
(1783312) 		7078611
(981427) 		8558480
(2461296) 		10546396
(1400620) 		11281131
(2135355) 		12461007
(266639) 		12950198
(755830) 		13790495
(1596127) 		14810002
(2615634) 		15103323
(2908955)

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
Error Absolute (¢) +0.000000 +0.000000 +0.000138 +0.000096 -0.000104 +0.000147 -0.000158 -0.000074 +0.000106 -0.000045 +0.000022
Relative (%) +0.0 +0.0 +37.2 +25.9 -27.9 +39.6 -42.6 -19.9 +28.5 -12.3 +5.9
Steps
(reduced) 		3239129
(0) 		5133898
(1894769) 		7521025
(1042767) 		9093385
(2615127) 		11205545
(1488158) 		11986202
(2268815) 		13239819
(283303) 		13759585
(803069) 		14652401
(1695885) 		15735627
(2779111) 		16047281
(3090765)

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
Error Absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 -0.000001 -0.000100 -0.000116 +0.000153 +0.000126 -0.000087 +0.000125
Relative (%) +0.0 +0.0 +15.9 +27.4 -0.2 -28.6 -33.3 +43.7 +36.0 -24.8 +35.7
Steps
(reduced) 		3429666
(0) 		5435892
(2006226) 		7963438
(1104106) 		9628290
(2768958) 		11864695
(1575697) 		12691272
(2402274) 		14018632
(299968) 		14568973
(850309) 		15514307
(1795643) 		16661252
(2942588) 		16991239
(3272575)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000018 +0.000096 +0.000091 +0.000010 -0.000080 +0.000024 +0.000145 -0.000123 -0.000115
Relative (%) +0.0 +0.0 -5.5 +28.9 +27.6 +3.1 -24.0 +7.2 +43.6 -37.3 -34.5
Steps
(reduced) 		3620203
(0) 		5737886
(2117683) 		8405851
(1165445) 		10163195
(2922789) 		12523845
(1663236) 		13396343
(2535734) 		14797445
(316633) 		15378360
(897548) 		16376213
(1895401) 		17586877
(3106065) 		17935196
(3454384)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 -0.000141 +0.000110 -0.000047 -0.000092 -0.000154 -0.000157 -0.000015
Relative (%) +0.0 +0.0 -26.8 +30.4 -44.6 +34.8 -14.8 -29.3 -48.8 -49.7 -4.8
Steps
(reduced) 		3810740
(0) 		6039880
(2229140) 		8848264
(1226784) 		10698100
(3076620) 		13182994
(1750774) 		14101414
(2669194) 		15576258
(333298) 		16187747
(944787) 		17238118
(1995158) 		18512502
(3269542) 		18879154
(3636194)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000144 +0.000096 -0.000051 -0.000100 -0.000017 +0.000103 -0.000124 +0.000113 +0.000075
Relative (%) +0.0 +0.0 -48.2 +32.0 -16.9 -33.4 -5.5 +34.3 -41.3 +37.8 +25.0
Steps
(reduced) 		4001277
(0) 		6341874
(2340597) 		9290677
(1288123) 		11233005
(3230451) 		13842144
(1838313) 		14806484
(2802653) 		16355071
(349963) 		16997135
(992027) 		18100024
(2094916) 		19438128
(3433020) 		19823112
(3818004)

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
Error Absolute (¢) +0.000000 +0.000000 +0.000087 +0.000096 +0.000031 -0.000005 +0.000011 -0.000006 -0.000097 +0.000072 -0.000130
Relative (%) +0.0 +0.0 +30.5 +33.5 +10.9 -1.7 +3.8 -2.2 -33.7 +25.3 -45.3
Steps
(reduced) 		4191814
(0) 		6643868
(2452054) 		9733091
(1349463) 		11767910
(3384282) 		14501294
(1925852) 		15511555
(2936113) 		17133884
(366628) 		17806522
(1039266) 		18961930
(2194674) 		20363753
(3596497) 		20767069
(3999813)

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
Error Absolute (¢) +0.000000 +0.000000 +0.000025 +0.000096 +0.000106 +0.000082 +0.000036 -0.000106 -0.000072 +0.000035 -0.000042
Relative (%) +0.0 +0.0 +9.1 +35.0 +38.7 +30.1 +13.0 -38.6 -26.2 +12.8 -15.5
Steps
(reduced) 		4382351
(0) 		6945862
(2563511) 		10175504
(1410802) 		12302815
(3538113) 		15160444
(2013391) 		16216626
(3069573) 		17912697
(383293) 		18615909
(1086505) 		19823836
(2294432) 		21289378
(3759974) 		21711027
(4181623)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000032 +0.000096 -0.000088 -0.000100 +0.000058 +0.000065 -0.000049 +0.000001 +0.000037
Relative (%) +0.0 +0.0 -12.2 +36.5 -33.6 -38.2 +22.3 +24.9 -18.6 +0.3 +14.3
Steps
(reduced) 		4572888
(0) 		7247856
(2674968) 		10617917
(1472141) 		12837720
(3691944) 		15819593
(2100929) 		16921696
(3203032) 		18691510
(399958) 		19425297
(1133745) 		20685742
(2394190) 		22215003
(3923451) 		22654985
(4363433)

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
Error Absolute (¢) +0.000000 +0.000000 -0.000084 +0.000096 -0.000015 -0.000016 +0.000079 -0.000029 -0.000028 -0.000031 +0.000111
Relative (%) +0.0 +0.0 -33.5 +38.0 -5.8 -6.4 +31.5 -11.6 -11.1 -12.2 +44.0
Steps
(reduced) 		4763425
(0) 		7549850
(2786425) 		11060330
(1533480) 		13372625
(3845775) 		16478743
(2188468) 		17626767
(3336492) 		19470323
(416623) 		20234684
(1180984) 		21547648
(2493948) 		23140628
(4086928) 		23598943
(4545243)

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
Error Absolute (¢) +0.000000 +0.000000 +0.000109 +0.000096 +0.000053 +0.000061 +0.000099 -0.000116 -0.000008 -0.000060 -0.000064
Relative (%) +0.0 +0.0 +45.1 +39.6 +22.0 +25.3 +40.8 -48.0 -3.5 -24.7 -26.2
Steps
(reduced) 		4953962
(0) 		7851844
(2897882) 		11502744
(1594820) 		13907530
(3999606) 		17137893
(2276007) 		18331838
(3469952) 		20249136
(433288) 		21044071
(1228223) 		22409554
(2593706) 		24066253
(4250405) 		24542900
(4727052)

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
Error Absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 +0.000116 -0.000100 -0.000116 +0.000036 +0.000009 -0.000087 +0.000008
Relative (%) +0.0 +0.0 +23.8 +41.1 +49.7 -43.0 -49.9 +15.5 +4.1 -37.1 +3.5
Steps
(reduced) 		5144499
(0) 		8153838
(3009339) 		11945157
(1656159) 		14442435
(4153437) 		17797043
(2363546) 		19036908
(3603411) 		21027948
(449952) 		21853459
(1275463) 		23271460
(2693464) 		24991878
(4413882) 		25486858
(4908862)

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
Error Absolute (¢) +0.0000000 +0.0000000 +0.0000055 +0.0000958 -0.0000506 -0.0000252 -0.0000915 -0.0000471 +0.0000261 -0.0001116 +0.0000749
Relative (%) +0.0 +0.0 +2.4 +42.6 -22.5 -11.2 -40.7 -21.0 +11.6 -49.6 +33.3
Steps
(reduced) 		5335036
(0) 		8455832
(3120796) 		12387570
(1717498) 		14977340
(4307268) 		18456192
(2451084) 		19741979
(3736871) 		21806761
(466617) 		22662846
(1322702) 		24133366
(2793222) 		25917503
(4577359) 		26430816
(5090672)
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