User:FloraC/Sequence of equal temperaments by error/Supplement: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 1: / Line 1: @@
-Below are the sequences of [[equal temperament]]s in various [[subgroup]]s by [[TE error|TE absolute error]] and [[TE relative error]], searched up to [[196608edo|196608]]. [[GPV]]s starting with 0 are skipped as they would meddle with the results otherwise. For readability reasons, equal temperaments smaller than 5 are not shown.
+Below are the sequences of [[equal temperament]]s in various [[subgroup]]s by [[TE error|TE absolute error]] (and [[TE relative error]], in '''bold'''), searched up to [[196608edo|196608]]. [[GPV]]s starting with 0 are skipped as they would meddle with the results otherwise. For readability reasons, equal temperaments smaller than 5 are not shown.
 These sequences are obtained with the [https://github.com/FloraCanou/temperament_evaluator Temperament Evaluator]. For a method to iterate thru all GPVs, see [[Patent val/Properties]].
 ; 3-limit
-: Absolute: {{EDOs| 5, 7, 12, 29, 41, 53, 200, 253, 306, 359, 665, 8286, 8951, 9616, 10281, 10946, 11611, 12276, 12941, 13606, 14271, 14936, 15601, … }}
+: {{EDOs| '''5''', 7, '''12''', 29, '''41''', '''53''', 200, 253, '''306''', 359, '''665''', 8286, 8951, 9616, 10281, 10946, 11611, 12276, 12941, 13606, 14271, 14936, '''15601''', '''31867''', '''79335''', '''111202''', '''190537''', … }} ({{OEIS|A060528}}).
-:: (continued) {{EDOs| 31867, 79335, 111202, 190537, … }} ({{OEIS|A060528}}).
-: Relative: {{EDOs| 5, 12, 41, 53, 306, 665, 15601, …}}
-:: (continued) {{EDOs| 31867, 79335, 111202, 190537, … }}.
 ; 5-limit
-: Absolute: {{EDOs| 5, 7, 12, 19, 31, 34, 46, 53, 118, 171, 289, 323, 388, 441, 559, 612, 1171, 1783, 2513, 3684, 4296, 12276, 16572, 20868, 25164, 46032, 48545, 52841, 73709, 78005, 151714, … }}.
+: {{EDOs| 5, '''7''', '''12''', '''19''', 31, '''34''', 46, '''53''', '''118''', 171, 289, 323, 388, '''441''', '''559''', '''612''', '''1171''', '''1783''', '''2513''', 3684, '''4296''', 12276, 16572, 20868, 25164, 46032, 48545, 52841, '''73709''', '''78005''', 151714, … }}.
-: Relative: {{EDOs| 7, 12, 19, 34, 53, 118, 441, 559, 612, 1171, 1783, 2513, 4296, 73709, 78005, … }}.
 ; 7-limit
-: Absolute: {{EDOs| 5, 7d, 8d, 9, 10, 12, 19, 27, 31, 41, 53, 72, 99, 171, 441, 612, 935, 1106, 1277, 1407, 1547, 1578, 1718, 1848, 2019, 2684, 2783, 2954, 3125, 6520, 6691, 9816, 11664, 14789, 18355, 33144, 51499, 51670, 63334, 70025, 81689, 84814, 103169, … }}.
+: {{EDOs| '''5''', 7d, 8d, 9, '''10''', '''12''', '''19''', 27, '''31''', 41, 53, '''72''', '''99''', '''171''', 441, 612, 935, 1106, 1277, 1407, 1547, 1578, 1718, 1848, 2019, 2684, 2783, 2954, '''3125''', 6520, 6691, 9816, '''11664''', 14789, '''18355''', 33144, 51499, 51670, 63334, 70025, 81689, '''84814''', '''103169''', … }}.
-: Relative: {{EDOs| 5, 10, 12, 19, 31, 72, 99, 171, 3125, 11664, 18355, 84814, 103169, … }}.
 ; 11-limit
-: Relative: {{EDOs| 5, 7d, 8d, 9, 12, 22, 31, 72, 270, 342, 1848, 6079, 6691, 40006, 54624, 121524, … }}.
+: {{EDOs| 5c, '''5''', '''7d''', '''8d''', '''9''', 10, 12e, '''12''', 15, 19e, 19, '''22''', 27e, '''31''', 41, 53, 58, '''72''', 118, 130, 152, 224, '''270''', '''342''', 612, 836, 1084, 1106, 1236, 1506, 1578, '''1848''', 2684, 3395, 3737, 4007, 4501, 4843, 5585, '''6079''', '''6691''', 12276, 12770, 14618, 14960, 21309, 25046, 26894, 33315, 39664, '''40006''', 47933, '''54624''', 81860, 94630, 96478, '''121524''', 176148, … }}.
 ; 13-limit
-: Relative: {{EDOs| 5e, 7, 8d, 9, 12f, 19e, 19, 27e, 31, 41, 53, 58, 72, 224, 270, 494, 1506, 2190, 2684, 5585, 6079, 14618, 73591, 81860, 87939, 96478, … }}.
+: {{EDOs| 5cf, 5f, 5, '''5e''', 7df, 7d, '''7''', '''8d''', '''9''', 10, 12, '''12f''', 14cf, 15, 17c, '''19e''', '''19''', 22, 26, '''27e''', 29, 31f, '''31''', '''41''', 46, '''53''', '''58''', '''72''', 87, 103, 111, 121, 130, 183, 190, 198, '''224''', '''270''', '''494''', 684, 764, 935, 954, 1178, 1236, 1448, '''1506''', '''2190''', '''2684''', 3395, 4079, 4349, 4843, '''5585''', '''6079''', 8269, 8539, 11664, 13112, 14348, '''14618''', 20203, 22887, 27236, 33315, 40276, 41584, 46355, 63163, 65062, 66558, 69242, '''73591''', '''81860''', '''87939''', '''96478''', 161530, 184417, … }}.
+----
 ; 17-limit