User:FloraC/Sequence of equal temperaments by error/Supplement - Revision history

FloraC at 11:25, 10 June 2026

2026-06-10T11:25:29Z

← Older revision		Revision as of 11:25, 10 June 2026
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	: {{Databox\|Exotemperaments*\| 5cf, 5f, 5, '''5eh''', 7dfh, 7dh, '''7''', 8d, 8dhh, '''9''', 12e, 12, 12f, 14cf, '''15''', 19eh, 22, 22fh, 24, 26 }}		: {{Databox\|Exotemperaments*\| 5cf, 5f, 5, '''5eh''', 7dfh, 7dh, '''7''', 8d, 8dhh, '''9''', 12e, 12, 12f, 14cf, '''15''', 19eh, 22, 22fh, 24, 26 }}
	: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21}		: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 19, 21}

	~~; 2.3.5.7.11.13.17.23 subgroup~~
	: {{EDOs\| '''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, … }}.

	: {{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, 23}~~

	~~----~~

	; 2.3.5.7.11.13.19.29 subgroup		; 2.3.5.7.11.13.19.29 subgroup
	: {{EDOs\| '''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''', … }}.		: {{EDOs\| '''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''', '''20203''', 28742, 33243, 36269, 40770, 46355, 47663, 54894, 56202, 60703, 60973, 67512, 80906, 87445, 94972, 115175, '''128215''', '''148418''', … }}.

	: {{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		; 2.3.5.7.11.13.17.23 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~~''', … }}		: {{EDOs\| '''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, … }}.

	: {{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*\| 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, ~~19, 21, 25, 27, 29~~, 31}		: <nowiki>*</nowiki> Monotonicity considered for {1, 3, 5, 7, 9, 11, 13, 15, 17, 23}

	----		----

FloraC at 16:36, 23 May 2026

2026-05-23T16:36:28Z

← Older revision		Revision as of 16:36, 23 May 2026
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	; 2.3.5.7.11.13.19 subgroup		; 2.3.5.7.11.13.19 subgroup
	: {{EDOs\| ~~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, … }}.		: {{EDOs\| '''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''', … }}.

	: {{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, 22fh, 24, 26 }}
	: <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, 21}

	; 2.3.5.7.11.13.17.23 subgroup		; 2.3.5.7.11.13.17.23 subgroup
	: {{EDOs\| '''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''', … }}.		: {{EDOs\| '''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, … }}.

	: {{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, 23}

	----		----

FloraC at 10:54, 23 May 2026

2026-05-23T10:54:15Z

← Older revision		Revision as of 10:54, 23 May 2026
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	; 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
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	: {{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}

	----		----

FloraC at 10:09, 23 May 2026

2026-05-23T10:09:06Z

← Older revision		Revision as of 10:09, 23 May 2026
Line 1:		Line 1:
			{{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''', … }}
Line 22:		Line 24:
	: {{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}

	----		----

FloraC at 10:07, 14 December 2025

2025-12-14T10:07:53Z

← Older revision		Revision as of 10:07, 14 December 2025
Line 1:		Line 1:
	; 2.3.5.11 subgroup		; 2.3.5.11 subgroup
	: {{EDOs\| ~~5, 5e,~~ '''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''', … }}

			: {{Databox\|Exotemperaments*\| 5, 5e }}
			: <nowiki>*</nowiki> monotonicity considered for {1, 3, 5, 9, 11}

	; 2.3.5.7.11.13.19 subgroup		; 2.3.5.7.11.13.19 subgroup
	: {{EDOs\| ~~5cf, 5f, 5, '''5eh''', 7dfh, 7dh, '''7''', 8d, 8dhh, '''9''', 12e, 12, 12f, 14cf, '''15''', 19eh, 22,~~ 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, … }}.		: {{EDOs\| 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, … }}.

			: {{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}

	; 2.3.5.7.11.13.17.23 subgroup		; 2.3.5.7.11.13.17.23 subgroup
	: {{EDOs\| ~~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''',~~ '''31''', 34d, 39dfgi, 41g, 41, 41i, 43, '''46''', 58i, 68, '''72i''', 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''', … }}.		: {{EDOs\| '''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''', … }}.

			: {{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}

	; 2.3.5.7.11.13.19.29 subgroup		; 2.3.5.7.11.13.19.29 subgroup
	: {{EDOs\| ~~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,~~ '''41''', 53, '''58h''', 72, 77, 80, 87, 99ef, '''103h''', 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''', … }}.		: {{EDOs\| '''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''', … }}.

			: {{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)

	----		----

FloraC at 19:30, 29 September 2025

2025-09-29T19:30:03Z

← Older revision		Revision as of 19:30, 29 September 2025
Line 1:		Line 1:
	; 2.3.5.11 subgroup		; 2.3.5.11 subgroup
	~~: Relative~~: {{EDOs\| 7, 65, 152, 342, 494, 1171, 11105, 12276, … }}		: {{EDOs\| 5, 5e, '''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''', … }}

	; 2.3.5.7.11.13.19 subgroup		; 2.3.5.7.11.13.19 subgroup
	~~: Relative~~: {{EDOs\| 5eh, 7, 9, 15, 27e, 41, 53, 72, 130, 152f, 270, 2190, 6079, 8269, 8539, ~~115175, 148418, 176148~~, ~~184417~~, … }}.		: {{EDOs\| 5cf, 5f, 5, '''5eh''', 7dfh, 7dh, '''7''', 8d, 8dhh, '''9''', 12e, 12, 12f, 14cf, '''15''', 19eh, 22, 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, … }}.

	; 2.3.5.7.11.13.17.23 subgroup		; 2.3.5.7.11.13.17.23 subgroup
	~~: Relative~~: {{EDOs\| 5eg, 8di, 10, 22f, 26i, 29g, 31, 46, 72i, 140, 183, 311, 494, 764, 1578, 2460, 7033, 16808, ~~102557~~, … }}.		: {{EDOs\| 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''', '''31''', 34d, 39dfgi, 41g, 41, 41i, 43, '''46''', 58i, 68, '''72i''', 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''', … }}.

			; 2.3.5.7.11.13.19.29 subgroup
			: {{EDOs\| 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, '''41''', 53, '''58h''', 72, 77, 80, 87, 99ef, '''103h''', 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''', … }}.

			----

	; sqrt (2).sqrt (3).5.7.11.13 subgroup		; sqrt (2).sqrt (3).5.7.11.13 subgroup
	: Relative: {{EDOs\| 10e, 10, 34d, 58, 72, 270, 2684, 13112, … }} ~~(up to 16808)~~.		: Relative: {{EDOs\| 10e, 10, 34d, 58, 72, 270, 2684, 13112, … }}.

	; sqrt (2).sqrt (3).5.7.11.13.17 subgroup		; sqrt (2).sqrt (3).5.7.11.13.17 subgroup
	: Relative: {{EDOs\| 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, … }} ~~(up to 16808)~~.		: Relative: {{EDOs\| 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, … }}.

	; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup		; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup
	: Relative: {{EDOs\| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.		: Relative: {{EDOs\| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.

FloraC: FloraC moved page User:FloraC/Sequence of ETs by error/Supplement to User:FloraC/Sequence of equal temperaments by error/Supplement without leaving a redirect: Avoid the acronym when there's no need

2025-08-08T07:53:06Z

FloraC moved page User:FloraC/Sequence of ETs by error/Supplement to User:FloraC/Sequence of equal temperaments by error/Supplement without leaving a redirect: Avoid the acronym when there's no need

← Older revision	Revision as of 07:53, 8 August 2025
(No difference)

FloraC at 12:08, 7 August 2025

2025-08-07T12:08:38Z

← Older revision		Revision as of 12:08, 7 August 2025
Line 15:		Line 15:

	; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup		; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup
	: Relative: {{EDOs\| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.		: Relative: {{EDOs\| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.

	~~== A mathematically defined tier list ==~~
	~~; 2.3.5.11 subgroup~~
	~~: Tier-0: {{EDOs\| 7, 65, 152, 342, 494, 1171, 11105, 12276, … }}.~~
	~~: Tier-1: {{EDOs\| 5, 5e, 8, 9, 12e, 12, 15, 22, 31, 53, 72, 87, 118, 270, 677, 1665, 2342, 9934, … }}.~~
	~~: Tier-2: {{EDOs\| 19, 34, 183, 407, 559, 5520, 6691, … }}.~~
	~~: Tier-3: {{EDOs\| 14, 24, 335, 612, 829, 901, 1513, 2836, 3513, 13347, … }}.~~
	~~: Tier-4: {{EDOs\| 41, 46, 159, 224, 2684, 7862, 8763, … }}.~~
	~~: Tier-5: {{EDOs\| 10, 19e, 137, 217, 836, 1019, 2072, 3855, … }}.~~

	~~; sqrt (2).sqrt (3).5.7.11.13 subgroup~~
	~~: Tier-0: {{EDOs\| 10e, 10, 34d, 58, 72, 270, 2684, 13112, … }}.~~
	~~: Tier-1: {{EDOs\| 14cf, 130, 954, 10428, 16808, … }}.~~
	~~: Tier-2: {{EDOs\| 24, 38df, 68, 198, 742, 814, 2000, 2954, 14124, … }}.~~
	~~: Tier-3: {{EDOs\| 62, 140, 612, 1012, 1730, … }}.~~
	~~: Tier-4: {{EDOs\| 14c, 34, 96d, 1084, 3696, 3768, 10158, 10356, 12158, 13040, … }}.~~
	~~: Tier-5: {{EDOs\| 10f, 24d, 202, 212, 342f, 13854, … }}.~~

	~~; sqrt (2).sqrt (3).5.7.11.13.17 subgroup~~
	~~: Tier-0: {{EDOs\| 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, … }}.~~
	~~: Tier-1: {{EDOs\| 14cf, 24, 68, 130, 140, 270, 814, … }}.~~
	~~: Tier-2: {{EDOs\| 38df, 212g, 400, 2414, 3638, 12842, … }}.~~
	~~: Tier-3: {{EDOs\| 10eg, 14c, 34, 58g, 130g, 328, 414, 684, 11170, 12428, 13112, 13170, … }}.~~
	~~: Tier-4: {{EDOs\| 14cfgg, 62, 96d, 198g, 342f, 882, … }}.~~
	~~: Tier-5: …~~.

FloraC: FloraC moved page User:FloraC/Sequence of ETs with lower relative error to User:FloraC/Sequence of ETs by error/Supplement without leaving a redirect: Subgroup stuff

2025-08-07T12:07:29Z

FloraC moved page User:FloraC/Sequence of ETs with lower relative error to User:FloraC/Sequence of ETs by error/Supplement without leaving a redirect: Subgroup stuff

← Older revision	Revision as of 12:07, 7 August 2025
(No difference)

FloraC: Split page

2025-08-07T12:04:55Z

Split page

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← Older revision		Revision as of 12:08, 7 August 2025
Line 15:		Line 15:

	; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup		; sqrt (2).sqrt (3).5.7.11.13.17.19.23 subgroup
	: Relative: {{EDOs\| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.		: Relative: {{EDOs\| 14cf, 34dh, 58hi, 72i, 130, 270, 718, 742i, 814, 954h, 2000, 4038, 12770, 16808, … }}.

	~~== A mathematically defined tier list ==~~
	~~; 2.3.5.11 subgroup~~
	~~: Tier-0: {{EDOs\| 7, 65, 152, 342, 494, 1171, 11105, 12276, … }}.~~
	~~: Tier-1: {{EDOs\| 5, 5e, 8, 9, 12e, 12, 15, 22, 31, 53, 72, 87, 118, 270, 677, 1665, 2342, 9934, … }}.~~
	~~: Tier-2: {{EDOs\| 19, 34, 183, 407, 559, 5520, 6691, … }}.~~
	~~: Tier-3: {{EDOs\| 14, 24, 335, 612, 829, 901, 1513, 2836, 3513, 13347, … }}.~~
	~~: Tier-4: {{EDOs\| 41, 46, 159, 224, 2684, 7862, 8763, … }}.~~
	~~: Tier-5: {{EDOs\| 10, 19e, 137, 217, 836, 1019, 2072, 3855, … }}.~~

	~~; sqrt (2).sqrt (3).5.7.11.13 subgroup~~
	~~: Tier-0: {{EDOs\| 10e, 10, 34d, 58, 72, 270, 2684, 13112, … }}.~~
	~~: Tier-1: {{EDOs\| 14cf, 130, 954, 10428, 16808, … }}.~~
	~~: Tier-2: {{EDOs\| 24, 38df, 68, 198, 742, 814, 2000, 2954, 14124, … }}.~~
	~~: Tier-3: {{EDOs\| 62, 140, 612, 1012, 1730, … }}.~~
	~~: Tier-4: {{EDOs\| 14c, 34, 96d, 1084, 3696, 3768, 10158, 10356, 12158, 13040, … }}.~~
	~~: Tier-5: {{EDOs\| 10f, 24d, 202, 212, 342f, 13854, … }}.~~

	~~; sqrt (2).sqrt (3).5.7.11.13.17 subgroup~~
	~~: Tier-0: {{EDOs\| 10e, 10, 34d, 58, 72, 742, 954, 2000, 2684, 10356, 10428, 16808, … }}.~~
	~~: Tier-1: {{EDOs\| 14cf, 24, 68, 130, 140, 270, 814, … }}.~~
	~~: Tier-2: {{EDOs\| 38df, 212g, 400, 2414, 3638, 12842, … }}.~~
	~~: Tier-3: {{EDOs\| 10eg, 14c, 34, 58g, 130g, 328, 414, 684, 11170, 12428, 13112, 13170, … }}.~~
	~~: Tier-4: {{EDOs\| 14cfgg, 62, 96d, 198g, 342f, 882, … }}.~~
	~~: Tier-5: …~~.