User:ArrowHead294/Purely consistent EDOs by odd limit: Difference between revisions
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Additionally, there are (12) 7-odd-limit purely-consistent EDOs less than 87, (3) 15-odd-limit purely-consistent EDOs less than 311, and (481) 31-odd-limit purely consistent EDOs less than 3159811. | Additionally, there are (12) 7-odd-limit purely-consistent EDOs less than 87, (3) 15-odd-limit purely-consistent EDOs less than 311, and (481) 31-odd-limit purely consistent EDOs less than 3159811. | ||
<div style="margin-bottom: | <div style="margin-bottom: 1em;"> | ||
{{Databox | {{Databox | ||
| 7-odd-limit purely-consistent EDOs less than 87 | | 7-odd-limit purely-consistent EDOs less than 87 | ||
| {{normal|{{EDOs| 10, 15, 22, 31, 41, 46, 53, 56, 68, 72, 77, 84 }}}} | | {{normal|{{EDOs| 10, 15, 22, 31, 41, 46, 53, 56, 68, 72, 77, 84 }}}} | ||
}} | }} | ||
</div><div style="margin-bottom: | </div><div style="margin-bottom: 1em;"> | ||
{{Databox | {{Databox | ||
| 15-odd-limit purely-consistent EDOs less than 311 | | 15-odd-limit purely-consistent EDOs less than 311 | ||
| {{normal|{{EDOs| 87, 224, 270 }}}} | | {{normal|{{EDOs| 87, 224, 270 }}}} | ||
}} | }} | ||
</div><div style="margin-bottom: | </div><div style="margin-bottom: 1em;"> | ||
{{Databox | {{Databox | ||
| 31-odd-limit purely consistent EDOs less than 3159811 | | 31-odd-limit purely consistent EDOs less than 3159811 | ||
Revision as of 06:22, 21 January 2025
Below is a table of the first 50 EDOs that are purely consistent (approximate all harmonics with <25% relative error) in the 7-, 15-, 31-, and 63-odd-limits.
The smallest EDOs purely consistent in the 7-, 15-, 31-, and 63-odd-limits are 10, 87, 311, and 3159811, respectively.
Additionally, there are (12) 7-odd-limit purely-consistent EDOs less than 87, (3) 15-odd-limit purely-consistent EDOs less than 311, and (481) 31-odd-limit purely consistent EDOs less than 3159811.
31-odd-limit purely consistent EDOs less than 3159811
EDOs not present in the table below are in italics
311, 16808, 20567, 25540, 28342, 31920, 34691, 60392, 65322, 90623, 93664, 116498, 124702, 143958, 148418, 164838, 165226, 165879, 175878, 185793, 195339, 195727, 209851, 210569, 212147, 220633, 241200, 248975, 256119, 263323, 265323, 266901, 285172, 286350, 292376, 298467, 301592, 308712, 318400, 324296, 328645, 330645, 334553, 339998, 344145, 346742, 349643, 351672, 354185, 358987, 360565, 363466, 370499, 371564, 373677, 377373, 385729, 385912, 389618, 395256, 405050, 406296, 406426, 414965, 431385, 439524, 451051, 459944, 460438, 470372, 477470, 482971, 490175, 490358, 491510, 494589, 530634, 536089, 536443, 536983, 542792, 547442, 550955, 570416, 571134, 579803, 587942, 589737, 590843, 597876, 606545, 607263, 610304, 610776, 612764, 642696, 643349, 646915, 649428, 652630, 666236, 669749, 675269, 684507, 687632, 710208, 729980, 732129, 736360, 739261, 739914, 744899, 746294, 751267, 753168, 763102, 763820, 766861, 771834, 775347, 775530, 785464, 791767, 824588, 829142, 836917, 839818, 849034, 850740, 852075, 855154, 859279, 861279, 866153, 876087, 891199, 896654, 905140, 911520, 920777, 922172, 934600, 937585, 948507, 948724, 951408, 958441, 965315, 965532, 971341, 977560, 986099, 1002907, 1003914, 1007697, 1024505, 1025223, 1030314, 1035157, 1041313, 1042031, 1044761, 1045072, 1051965, 1055543, 1078300, 1090545, 1095937, 1096925, 1099826, 1100479, 1109760, 1110083, 1117287, 1118576, 1122272, 1124385, 1132206, 1132399, 1141410, 1144451, 1146747, 1149207, 1152332, 1161259, 1161977, 1163331, 1173330, 1177679, 1183575, 1183898, 1200383, 1206732, 1220950, 1235074, 1236652, 1238652, 1248586, 1251882, 1265705, 1272803, 1281342, 1298150, 1306164, 1311973, 1326097, 1330723, 1334236, 1336031, 1336749, 1337137, 1349124, 1359058, 1359776, 1363472, 1371247, 1373406, 1385788, 1395722, 1402459, 1403748, 1405326, 1410952, 1412530, 1418879, 1430801, 1432379, 1441583, 1447221, 1456502, 1461044, 1464029, 1476274, 1477852, 1479141, 1501975, 1506905, 1507476, 1508194, 1510114, 1511909, 1521824, 1522542, 1536666, 1539350, 1542475, 1549284, 1553474, 1567297, 1577231, 1581515, 1594757, 1595639, 1598323, 1601448, 1612447, 1615348, 1626270, 1626795, 1660650, 1662269, 1667854, 1680894, 1691893, 1696307, 1697702, 1705229, 1711826, 1712544, 1714510, 1719623, 1726755, 1737149, 1749201, 1756675, 1771517, 1777866, 1785865, 1788325, 1791366, 1800753, 1810687, 1823016, 1824594, 1829312, 1833714, 1836528, 1836839, 1846120, 1853647, 1862540, 1867470, 1872474, 1887704, 1894106, 1895501, 1897231, 1908401, 1912309, 1918335, 1921159, 1953026, 1955322, 1959105, 1973012, 1975913, 1976631, 1984052, 2010604, 2026347, 2027412, 2027636, 2038064, 2044444, 2051887, 2052458, 2066011, 2073109, 2083614, 2086792, 2089917, 2092818, 2092958, 2095859, 2097931, 2109766, 2112279, 2114739, 2116970, 2126090, 2129087, 2132082, 2148890, 2151791, 2161135, 2169674, 2183581, 2186482, 2197404, 2202225, 2203290, 2207338, 2208403, 2222568, 2222751, 2224146, 2235863, 2268836, 2285644, 2287439, 2293658, 2296255, 2299768, 2307242, 2310466, 2313591, 2322655, 2327809, 2331117, 2355228, 2358741, 2372564, 2381821, 2382209, 2384281, 2387794, 2390090, 2396333, 2398629, 2427682, 2442601, 2448969, 2458496, 2461481, 2463951, 2475304, 2479535, 2488074, 2489652, 2504882, 2515127, 2526480, 2534619, 2543158, 2547047, 2556981, 2563855, 2570888, 2581738, 2595250, 2598546, 2599941, 2609328, 2619262, 2622303, 2626006, 2639829, 2640400, 2646426, 2651182, 2654223, 2663952, 2671031, 2676657, 2680900, 2685873, 2687839, 2688774, 2691005, 2702681, 2712926, 2719306, 2722207, 2722925, 2733182, 2739733, 2742774, 2753857, 2756898, 2757616, 2773706, 2774424, 2775819, 2784358, 2784488, 2787936, 2788247, 2793885, 2798181, 2809534, 2810693, 2814989, 2833397, 2839112, 2841541, 2861033, 2861751, 2881600, 2893789, 2895184, 2903723, 2904434, 2924420, 2932776, 2934354, 2940657, 2949196, 2949584, 2963407, 2969045, 2971946, 2972223, 2978249, 2981504, 2982157, 2986571, 2997710, 2999676, 3000394, 3008169, 3014906, 3037222, 3044366, 3046826, 3049339, 3051893, 3056760, 3068949, 3076392, 3083490, 3100298, 3103069, 3114422, 3128115, 3134271, 3134989, 3139285, 3144923, 3148812, 3151797, 3158746
311, 16808, 20567, 25540, 28342, 31920, 34691, 60392, 65322, 90623, 93664, 116498, 124702, 143958, 148418, 164838, 165226, 165879, 175878, 185793, 195339, 195727, 209851, 210569, 212147, 220633, 241200, 248975, 256119, 263323, 265323, 266901, 285172, 286350, 292376, 298467, 301592, 308712, 318400, 324296, 328645, 330645, 334553, 339998, 344145, 346742, 349643, 351672, 354185, 358987, 360565, 363466, 370499, 371564, 373677, 377373, 385729, 385912, 389618, 395256, 405050, 406296, 406426, 414965, 431385, 439524, 451051, 459944, 460438, 470372, 477470, 482971, 490175, 490358, 491510, 494589, 530634, 536089, 536443, 536983, 542792, 547442, 550955, 570416, 571134, 579803, 587942, 589737, 590843, 597876, 606545, 607263, 610304, 610776, 612764, 642696, 643349, 646915, 649428, 652630, 666236, 669749, 675269, 684507, 687632, 710208, 729980, 732129, 736360, 739261, 739914, 744899, 746294, 751267, 753168, 763102, 763820, 766861, 771834, 775347, 775530, 785464, 791767, 824588, 829142, 836917, 839818, 849034, 850740, 852075, 855154, 859279, 861279, 866153, 876087, 891199, 896654, 905140, 911520, 920777, 922172, 934600, 937585, 948507, 948724, 951408, 958441, 965315, 965532, 971341, 977560, 986099, 1002907, 1003914, 1007697, 1024505, 1025223, 1030314, 1035157, 1041313, 1042031, 1044761, 1045072, 1051965, 1055543, 1078300, 1090545, 1095937, 1096925, 1099826, 1100479, 1109760, 1110083, 1117287, 1118576, 1122272, 1124385, 1132206, 1132399, 1141410, 1144451, 1146747, 1149207, 1152332, 1161259, 1161977, 1163331, 1173330, 1177679, 1183575, 1183898, 1200383, 1206732, 1220950, 1235074, 1236652, 1238652, 1248586, 1251882, 1265705, 1272803, 1281342, 1298150, 1306164, 1311973, 1326097, 1330723, 1334236, 1336031, 1336749, 1337137, 1349124, 1359058, 1359776, 1363472, 1371247, 1373406, 1385788, 1395722, 1402459, 1403748, 1405326, 1410952, 1412530, 1418879, 1430801, 1432379, 1441583, 1447221, 1456502, 1461044, 1464029, 1476274, 1477852, 1479141, 1501975, 1506905, 1507476, 1508194, 1510114, 1511909, 1521824, 1522542, 1536666, 1539350, 1542475, 1549284, 1553474, 1567297, 1577231, 1581515, 1594757, 1595639, 1598323, 1601448, 1612447, 1615348, 1626270, 1626795, 1660650, 1662269, 1667854, 1680894, 1691893, 1696307, 1697702, 1705229, 1711826, 1712544, 1714510, 1719623, 1726755, 1737149, 1749201, 1756675, 1771517, 1777866, 1785865, 1788325, 1791366, 1800753, 1810687, 1823016, 1824594, 1829312, 1833714, 1836528, 1836839, 1846120, 1853647, 1862540, 1867470, 1872474, 1887704, 1894106, 1895501, 1897231, 1908401, 1912309, 1918335, 1921159, 1953026, 1955322, 1959105, 1973012, 1975913, 1976631, 1984052, 2010604, 2026347, 2027412, 2027636, 2038064, 2044444, 2051887, 2052458, 2066011, 2073109, 2083614, 2086792, 2089917, 2092818, 2092958, 2095859, 2097931, 2109766, 2112279, 2114739, 2116970, 2126090, 2129087, 2132082, 2148890, 2151791, 2161135, 2169674, 2183581, 2186482, 2197404, 2202225, 2203290, 2207338, 2208403, 2222568, 2222751, 2224146, 2235863, 2268836, 2285644, 2287439, 2293658, 2296255, 2299768, 2307242, 2310466, 2313591, 2322655, 2327809, 2331117, 2355228, 2358741, 2372564, 2381821, 2382209, 2384281, 2387794, 2390090, 2396333, 2398629, 2427682, 2442601, 2448969, 2458496, 2461481, 2463951, 2475304, 2479535, 2488074, 2489652, 2504882, 2515127, 2526480, 2534619, 2543158, 2547047, 2556981, 2563855, 2570888, 2581738, 2595250, 2598546, 2599941, 2609328, 2619262, 2622303, 2626006, 2639829, 2640400, 2646426, 2651182, 2654223, 2663952, 2671031, 2676657, 2680900, 2685873, 2687839, 2688774, 2691005, 2702681, 2712926, 2719306, 2722207, 2722925, 2733182, 2739733, 2742774, 2753857, 2756898, 2757616, 2773706, 2774424, 2775819, 2784358, 2784488, 2787936, 2788247, 2793885, 2798181, 2809534, 2810693, 2814989, 2833397, 2839112, 2841541, 2861033, 2861751, 2881600, 2893789, 2895184, 2903723, 2904434, 2924420, 2932776, 2934354, 2940657, 2949196, 2949584, 2963407, 2969045, 2971946, 2972223, 2978249, 2981504, 2982157, 2986571, 2997710, 2999676, 3000394, 3008169, 3014906, 3037222, 3044366, 3046826, 3049339, 3051893, 3056760, 3068949, 3076392, 3083490, 3100298, 3103069, 3114422, 3128115, 3134271, 3134989, 3139285, 3144923, 3148812, 3151797, 3158746
These lists were generated using JavaScript code run in Mozilla Firefox's console. The amount of time it took me to generate these lists is as follows:
- 7-odd-limit: 5ms
- 15-odd-limit: 62ms
- 31-odd-limit: 11.9s
- 63-odd-limit: 2h 53m 26.6s