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

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{{Breadcrumb|Sequence of equal temperaments by error}}
; 2.3.5.11 subgroup
; 2.3.5.11 subgroup
: {{EDOs| '''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''', … }}
: {{EDOs| '''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''', … }}
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: {{Databox|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 }}
: {{Databox|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 }}
: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 27, 29} (omission of 25 is intentional)
: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 27, 29} (omission of 25 is intentional)
; 2.3.5.7.11.13.19.29.31 subgroup
: {{EDOs| 58hk, 72*, 77*, 80k*, 87*, 99efk, '''103h'''* (118), 121k, 130j*, 130, 152fj, 159k* (159), 166*, 183, '''190''', 217, 224, 270k*, '''270''', 311, 422, 525, 540, 552, 612, 692k, 718, 742, 908, 954hj, 1178, 1205, '''1308''', 1759, 1817h, 1920, 2159, 2190, 2684, 2901, 3125, 3395k, '''4190''', '''4501''', 5809, 6539, 7527, '''8539''', 11664j, 12307, 12618, 14124, 16066, '''16808''', … }}
: {{Databox|Exotemperaments*| 5cfk, 5f, 5, '''5ehj''', 7deeefhjjk, 7dfhjjk, 7k, '''7''', 8d, '''9jk''', 10h, 12e, 12fk, '''12fjk''', 14cfjj, 15, '''15k''', 19ehkk, 19eh, 19, 22, 22fh, 24, 26k, 27e, '''27ej''', 31, 34dhk, 34dhjk, 38dfj, 41f, '''41''', 53k }}
: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 25, 27, 29, 31}


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Revision as of 10:09, 23 May 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, …
Exotemperaments*
5, 5e
* monotonicity considered for {1, 3, 5, 9, 11}
2.3.5.7.11.13.19 subgroup
22fh, 24*, 26*, 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, ….
Exotemperaments*
5cf, 5f, 5, 5eh, 7dfh, 7dh, 7, 8d, 8dhh, 9, 12e, 12, 12f, 14cf, 15, 19eh, 22
* monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19}
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, ….
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, 21, 23}
2.3.5.7.11.13.19.29 subgroup
41, 53*, 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, ….
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)
2.3.5.7.11.13.19.29.31 subgroup
58hk, 72*, 77*, 80k*, 87*, 99efk, 103h* (118), 121k, 130j*, 130, 152fj, 159k* (159), 166*, 183, 190, 217, 224, 270k*, 270, 311, 422, 525, 540, 552, 612, 692k, 718, 742, 908, 954hj, 1178, 1205, 1308, 1759, 1817h, 1920, 2159, 2190, 2684, 2901, 3125, 3395k, 4190, 4501, 5809, 6539, 7527, 8539, 11664j, 12307, 12618, 14124, 16066, 16808, …
Exotemperaments*
5cfk, 5f, 5, 5ehj, 7deeefhjjk, 7dfhjjk, 7k, 7, 8d, 9jk, 10h, 12e, 12fk, 12fjk, 14cfjj, 15, 15k, 19ehkk, 19eh, 19, 22, 22fh, 24, 26k, 27e, 27ej, 31, 34dhk, 34dhjk, 38dfj, 41f, 41, 53k
* monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 25, 27, 29, 31}

sqrt (2).sqrt (3).5.7.11.13 subgroup
Relative: 10e, 10, 34d, 58, 72, 270, 2684, 13112, ….
sqrt (2).sqrt (3).5.7.11.13.17 subgroup
Relative: 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, ….
sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup
Relative: 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, ….