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

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
No edit summary
Line 2: Line 2:


; 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''', 35657, 41177, 42348, 53453, '''54624''', 66900, 121524, 149931, 161036, 173312, 192279, … }}


: {{Databox|Exotemperaments*| 5, 5e }}
: {{Databox|Exotemperaments*| 5c, 5, 5e }}
: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 9, 11}  
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 9, 11}  
 
; 2.3.7.11 subgroup
: {{EDOs| '''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, … }}
 
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 7, 9, 11}
 
; 2.3.5.13 subgroup
: {{EDOs| '''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, … }}
 
: {{Databox|Exotemperaments*| 5f }}
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 9, 13}
 
; 2.3.7.13 subgroup
: {{EDOs| '''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, … }}
 
: {{Databox|Exotemperaments*| '''5f''' }}
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 7, 9, 13}
 
----


; 2.3.5.7.11.13.19 subgroup
; 2.3.5.7.11.13.19 subgroup
Line 11: Line 30:


: {{Databox|Exotemperaments*| 5cf, 5f, 5, '''5eh''', 7dfh, 7dh, '''7''', 8d, 8dhh, '''9''', 12e, 12, 12f, 14cf, '''15''', 19eh, 22 }}
: {{Databox|Exotemperaments*| 5cf, 5f, 5, '''5eh''', 7dfh, 7dh, '''7''', 8d, 8dhh, '''9''', 12e, 12, 12f, 14cf, '''15''', 19eh, 22 }}
: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19}  
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19}  


; 2.3.5.7.11.13.17.23 subgroup
; 2.3.5.7.11.13.17.23 subgroup
Line 17: Line 36:


: {{Databox|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''' }}
: {{Databox|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''' }}
: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23}  
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23}  
 
----


; 2.3.5.7.11.13.19.29 subgroup
; 2.3.5.7.11.13.19.29 subgroup
Line 23: Line 44:


: {{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
; 2.3.5.7.11.13.19.29.31 subgroup
Line 29: Line 50:


: {{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 }}
: {{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}
: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 25, 27, 29, 31}


----
----

Revision as of 10:54, 23 May 2026

< Sequence of equal temperaments by error
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
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, ….
Retrieved from "https://en.xen.wiki/index.php?title=User:FloraC/Sequence_of_equal_temperaments_by_error/Supplement&oldid=230792"