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

From Xenharmonic Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
(One intermediate revision by the same user not shown)
Line 46: Line 46:
----
----


; sqrt (2).sqrt (3).5.7.11.13 subgroup
; 2.sqrt(6).5.7 subgroup
: Relative: {{EDOs| 10e, 10, 34d, 58, 72, 270, 2684, 13112, … }}.
: {{EDOs| 10, 14c, 17c, 21, 24, 27, 31, 41, 58, 68, 72, 99, 171, 441, 612, 1730, 1901, 2072, 2171, 2342, 2513, 2684, 2783, 2954, 3125, 6520, 6691, … }}


; sqrt (2).sqrt (3).5.7.11.13.17 subgroup
; 2.sqrt(6).5.7.11.13 subgroup
: Relative: {{EDOs| 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, … }}.
: {{EDOs| 14c, 17c, 24, 27*, 27e, 31f*, 31, 41, 58, 72, 103, 130, 198, 270, 571, 581, 684, 814, 954, 1395, 1665, 1696, 1730, 2000, 2311, 2414, 2684, 3395, 4079, 4349, 5809, 6079, … }}


; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup
; 2.sqrt(6).5.7.11.13.19.29 subgroup
: Relative: {{EDOs| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.
: {{EDOs| 41, 58h, 72, 96?, 99?, 99ef, 103h* (113), 130?, 130, 140, 161, 198, 243e, 270j*, 270, 431, 472, 540, 581, 581j, 612, 684h, 711, 718, 742, 882, 954hj, 1224, 1282, 1395, 1593, 1802, 1942, 2000, 2311, 2684, 2742, 3026?, 3125, 3395, 4349, 5768, 5809, 5949, 6079, … }}

Latest revision as of 14:28, 5 September 2026

2.3.5.11 subgroup
7, 12, 15, 19, 22, 31, 34, 41, 46, 53, 65, 87, 118, 152, 224, 270, 335, 342, 494, 677, 1019, 1171, 3855, 4349, 5026, 5520, 6691, 7862, 8763, 9934, 11105, 12276, 35657, 41177, 42348, 53453, 54624, 66900, 121524, 149931, 161036, 173312, 192279, …
Exotemperaments*
5c, 5, 5e
* Monotonicity considered for {1, 3, 5, 9, 11}
2.3.7.11 subgroup
5, 9, 10, 12, 14, 17, 31, 41, 58, 63, 72, 94, 118, 130, 135, 342, 477, 670, 701, 836, 877, 1012, 1506, 1713, 1848, 4573, 4708, 6556, 11264, 17478, 19326, 22186, 24034, 28742, 35298, 59332, 64040, 94630, 123372, 158670, …
* Monotonicity considered for {1, 3, 7, 9, 11}
2.3.5.13 subgroup
5, 7, 10, 12, 15, 19, 34, 53, 130, 140, 164, 183, 217, 270, 354, 388, 407, 441, 494, 848, 901, 1289, 1342, 2901, 3395, 3802, 4243, 4737, 5638, 6079, 11717, 15960, 17302, 22039, 23381, 35098, 45420, 57137, 80518, 137655, 143734, 189154, …
Exotemperaments*
5f
* Monotonicity considered for {1, 3, 5, 9, 13}
2.3.7.13 subgroup
5, 7, 9, 10, 17, 26, 27, 36, 77, 94, 130, 207, 234, 270, 347, 364, 441, 477, 571, 1048, 1412, 1983, 5144, 6079, 6556, 7127, 8539, 9110, 20203, 49516, 58055, 67165, 69148, 78258, 87368, 98461, 107571, 127774, 179750, 190843, …
Exotemperaments*
5f
* Monotonicity considered for {1, 3, 7, 9, 13}

2.3.5.7.11.13.19 subgroup
27e, 31, 34dh*, 38df*, 41f*, 41, 50*, 53, 58h, 72, 87, 94, 103h, 111, 121, 130, 152f, 190, 217, 224, 270, 552, 581, 684h, 742, 935, 954h, 1012, 1178, 1308, 1448, 1578, 1730, 2000, 2190, 3125, 3395, 3768, 4079, 4190, 4349, 4771, 5585, 6079, 8269, 8539, 14618, 16808, 20203, 28472, 35999, 44538, 46355, 47663, 47933, 52434, 56202, 58973, 60973, 69242, 85255, 89445, 94972, 115175, 128215, 148418, 176148, 184417, ….
Exotemperaments*
5cf, 5f, 5, 5eh, 7dfh, 7dh, 7, 8d, 8dhh, 9, 12e, 12, 12f, 14cf, 15, 19eh, 22, 22fh, 24, 26
* Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21}
2.3.5.7.11.13.19.29 subgroup
41, 53* (53j), 58h, 72, 77, 80, 87* (94), 99ef, 103h* (113, 118f, 118), 121, 130, 140, 152fj, 159, 183, 190, 198, 217, 224, 243e, 270j*, 270, 422, 472, 494, 494h, 552, 590, 612, 684h, 692, 742, 795, 908, 935, 954hj, 1106, 1205, 1308, 1448, 1578, 1920, 2000, 2190, 3395, 4190, 4501, 5585, 6079, 6539, 7527, 8539, 10729, 11934, 12618, 13040, 14124, 14618, 16808, 20203, 28742, 33243, 36269, 40770, 46355, 47663, 54894, 56202, 60703, 60973, 67512, 80906, 87445, 94972, 115175, 128215, 148418, ….
Exotemperaments*
5cf, 5f, 5, 5ehj, 7deefhjj, 7dfhjj, 7dh, 7, 8d, 8dhhjj, 9j, 10h, 12e, 12, 12f, 12fj, 14cfjj, 15, 19eh, 22, 22fh, 24, 26, 27ej, 31j, 31, 34dhj, 38dfj, 41f
* Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 27, 29} (omission of 25 is intentional)
2.3.5.7.11.13.17.23 subgroup
31, 34d, 39dfgi*, 41g* 41* 41i*, 43*, 46, 58i, 68, 72i* (72), 94, 103, 111, 121i, 130, 140, 159, 183, 217, 224, 243e, 270, 311, 373g, 422, 494, 581, 684, 742i, 764, 814, 954, 1075, 1236, 1506i, 1578, 1889, 2414, 2460, 3696, 3809, 3855, 3992, 4038, 4349, 4573, 5455, 6079, 7033, 11664, 13112, 14348, 16808, 29053, 29236, 31156, 32231, 35132, 35505, 36269, 38189, 41584, 45861, 49039, 51940, 58973, 68748, 75781, 85749, 88209, 102557, 161530, 178338, ….
Exotemperaments*
5cfi, 5, 5g, 5eg, 7dfgi, 7dgi, 7, 8d, 8di, 10e, 10, 12e, 12, 12f, 12fi, 14cf, 15, 15g, 16, 17cg, 19egi, 19, 22i, 22, 22f, 26i, 27egi, 29g
* Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 17, 23}

2.sqrt(6).5.7 subgroup
10, 14c, 17c, 21, 24, 27, 31, 41, 58, 68, 72, 99, 171, 441, 612, 1730, 1901, 2072, 2171, 2342, 2513, 2684, 2783, 2954, 3125, 6520, 6691, …
2.sqrt(6).5.7.11.13 subgroup
14c, 17c, 24, 27*, 27e, 31f*, 31, 41, 58, 72, 103, 130, 198, 270, 571, 581, 684, 814, 954, 1395, 1665, 1696, 1730, 2000, 2311, 2414, 2684, 3395, 4079, 4349, 5809, 6079, …
2.sqrt(6).5.7.11.13.19.29 subgroup
41, 58h, 72, 96?, 99?, 99ef, 103h* (113), 130?, 130, 140, 161, 198, 243e, 270j*, 270, 431, 472, 540, 581, 581j, 612, 684h, 711, 718, 742, 882, 954hj, 1224, 1282, 1395, 1593, 1802, 1942, 2000, 2311, 2684, 2742, 3026?, 3125, 3395, 4349, 5768, 5809, 5949, 6079, …