User:Overthink/Table of 205edo intervals - Revision history

Overthink: mark gaps

2026-04-10T21:56:24Z

mark gaps

← Older revision		Revision as of 21:56, 10 April 2026
Line 1:		Line 1:
	{{Editable user page}}		{{Editable user page}}
	This table assumes the 19-limit patent val of [[205edo]].		This table assumes the 19-limit patent val of [[205edo]].


			(Gaps: 10, 14, 25, 29, 36, 41, 44, 49, 53, 56, 60, 64, 71, 83, 95, 99,
			106, 110, 122, 134, 141, 145, 152, 153, 156, 161, 164, 169, 176, 180, 191, 195

	{\| class="wikitable center-1 right-2"		{\| class="wikitable center-1 right-2"
Line 1,235:		Line 1,239:
	\|		\|
	\|		\|
	\|		\| ''[[121/72]]''
	\|		\|
	\|		\|
Line 1,273:		Line 1,277:
	\| 158		\| 158
	\| 924.88		\| 924.88
	\|		\| [[128/75]]
	\|		\|
	\|		\|
Line 1,434:		Line 1,438:
	\| 1041.95		\| 1041.95
	\|		\|
	\|		\| [[64/35]]
	\|		\|
	\|		\|
Line 1,635:		Line 1,639:
	\|		\|
	\|		\|
	\|		\| [[240/121]]
	\|		\| [[143/72]]
	\|		\|
	\|-		\|-

Overthink: fill in some more

2026-04-10T21:50:15Z

fill in some more

← Older revision		Revision as of 21:50, 10 April 2026
Line 517:		Line 517:
	\| [[99/80]]		\| [[99/80]]
	\| [[26/21]]		\| [[26/21]]
	\| ''[[21/17]]''		\| ''[[21/17]]'', [[68/55]]
	\|-		\|-
	\| 64		\| 64
Line 741:		Line 741:
	\|		\|
	\|		\|
	\|		\| [[34/25]]
	\|-		\|-
	\| 92		\| 92
Line 757:		Line 757:
	\|		\|
	\|		\|
	\|		\| [[26/19]]
	\|-		\|-
	\| 94		\| 94
Line 785:		Line 785:
	\| 97		\| 97
	\| 567.80		\| 567.80
	\|		\| [[25/18]]
	\|		\|
	\|		\|
Line 820:		Line 820:
	\|		\|
	\|		\|
	\|		\| ''[[55/39]]''
	\| [[38/27]]		\| [[38/27]]
	\|-		\|-
Line 844:		Line 844:
	\|		\|
	\|		\|
	\|		\| ''[[78/55]]''
	\| [[27/19]]		\| [[27/19]]
	\|-		\|-
Line 868:		Line 868:
	\|		\|
	\|		\|
	\|		\| [[56/39]]
	\|		\|
	\|-		\|-
	\| 108		\| 108
	\| 632.20		\| 632.20
	\|		\| [[36/25]]
	\|		\|
	\|		\|
Line 884:		Line 884:
	\|		\|
	\|		\|
	\|		\| [[13/9]]
	\|		\|
	\|-		\|-
Line 899:		Line 899:
	\|		\|
	\|		\|
	\|		\| [[16/11]]
	\|		\|
	\|		\|
Line 909:		Line 909:
	\|		\|
	\|		\|
	\|		\| [[19/13]]
	\|-		\|-
	\| 113		\| 113
Line 915:		Line 915:
	\|		\|
	\|		\|
	\|		\| [[22/15]]
	\|		\|
	\|		\|
Line 925:		Line 925:
	\|		\|
	\|		\|
	\|		\| [[25/17]]
	\|-		\|-
	\| 115		\| 115
Line 933:		Line 933:
	\|		\|
	\|		\|
	\|		\| [[28/19]]
	\|-		\|-
	\| 116		\| 116
Line 1,034:		Line 1,034:
	\| 749.27		\| 749.27
	\|		\|
	\|		\| [[54/35]]
	\|		\|
	\|		\|
Line 1,045:		Line 1,045:
	\|		\|
	\|		\|
	\|		\| [[17/11]]
	\|-		\|-
	\| 130		\| 130
Line 1,149:		Line 1,149:
	\| [[160/99]]		\| [[160/99]]
	\| [[21/13]]		\| [[21/13]]
	\|		\| ''[[34/21]]'', [[55/34]]
	\|-		\|-
	\| 143		\| 143
Line 1,197:		Line 1,197:
	\| [[33/20]]		\| [[33/20]]
	\| [[104/63]]		\| [[104/63]]
	\|		\| [[28/17]]
	\|-		\|-
	\| 149		\| 149

Overthink: intervals of 55

2026-04-10T21:43:48Z

intervals of 55

← Older revision		Revision as of 21:43, 10 April 2026
Line 140:		Line 140:
	\|		\|
	\|		\|
	\|		\| ''[[55/52]]''
	\| [[19/18]]		\| [[19/18]]
	\|-		\|-
Line 331:		Line 331:
	\|		\|
	\|		\|
	\|		\| [[55/48]]
	\|		\|
	\|		\|
Line 1,011:		Line 1,011:
	\|		\|
	\|		\|
	\|		\| [[55/36]]
	\|		\|
	\|		\|
Line 1,019:		Line 1,019:
	\|		\|
	\|		\|
	\|		\| ''[[84/55]]''
	\|		\|
	\|		\|
Line 1,051:		Line 1,051:
	\|		\|
	\|		\|
	\|		\| [[256/165]]
	\|		\|
	\|		\|
Line 1,331:		Line 1,331:
	\|		\|
	\|		\|
	\|		\| [[96/55]]
	\|		\|
	\|		\|
Line 1,483:		Line 1,483:
	\|		\|
	\|		\|
	\|		\| [[512/275]]
	\|		\|
	\|		\|
Line 1,603:		Line 1,603:
	\|		\|
	\|		\|
	\| [[55/28]]		\| ''[[55/28]]''
	\|		\|
	\|		\|
Line 1,611:		Line 1,611:
	\|		\|
	\| ''[[49/25]]''		\| ''[[49/25]]''
	\|		\| [[108/55]]
	\|		\|
	\|		\|

Overthink: correct step

2026-04-10T21:38:43Z

correct step

← Older revision		Revision as of 21:38, 10 April 2026
Line 363:		Line 363:
	\|		\|
	\|		\|
	\| ~~[[64/55]]~~		\|
	\|		\|
	\|		\|
Line 371:		Line 371:
	\|		\|
	\|		\|
	\|		\| [[64/55]]
	\|		\|
	\|		\|

Overthink: add some more comma-sized ones

2026-04-10T21:37:51Z

add some more comma-sized ones

← Older revision		Revision as of 21:37, 10 April 2026
Line 37:		Line 37:
	\| [[100/99]]		\| [[100/99]]
	\|		\|
	\| ''[[85/84]]''		\| ''[[85/84]]'', [[96/95]]
	\|-		\|-
	\| 4		\| 4
Line 45:		Line 45:
	\|		\|
	\| ''[[66/65]]'', [[78/77]]		\| ''[[66/65]]'', [[78/77]]
	\|		\| [[76/75]], [[77/76]]
	\|-		\|-
	\| 5		\| 5

Overthink: add some more

2026-04-10T21:36:07Z

add some more

← Older revision		Revision as of 21:36, 10 April 2026
Line 268:		Line 268:
	\|		\|
	\|		\|
	\|		\| [[39/35]]
	\|		\|
	\|-		\|-
Line 549:		Line 549:
	\| ''[[44/35]]''		\| ''[[44/35]]''
	\|		\|
	\|		\| [[64/51]]
	\|-		\|-
	\| 68		\| 68
Line 1,115:		Line 1,115:
	\|		\|
	\|		\|
			\| ''[[35/22]]''
	\|		\|
	\|		\| [[51/32]]
	\|
	\|-		\|-
	\| 139		\| 139
Line 1,396:		Line 1,396:
	\|		\|
	\|		\|
	\|		\| [[70/39]]
	\|		\|
	\|-		\|-

Overthink: expand

2026-04-10T21:29:04Z

expand

Show changes

Overthink: keenanisma

2026-04-08T22:21:39Z

keenanisma

← Older revision		Revision as of 22:21, 8 April 2026
Line 19:		Line 19:
	\| ''[[32805/32768]]''		\| ''[[32805/32768]]''
	\| [[225/224]]		\| [[225/224]]
	\|		\| [[385/384]]
	\|		\|
	\|		\|

Overthink: expand table

2026-04-08T22:07:51Z

expand table

Show changes

Overthink: start interval table page

2026-04-08T21:43:21Z

start interval table page

New page

{{Editable user page}}
This table assumes the 19-limit patent val of [[205edo]].

{| class="wikitable center-1 right-2"
! #
! Cents
! 5-limit
! 7-limit
! 11-limit
! 13-limit
! Higher limits
|-
| 0
| 0.00
| colspan="5" | [[1/1]]
|-
| 1
| 5.85
|
| [[225/224]]
|
|
|
|-
| 2
| 11.71
|
|
|
|
|
|-
| 3
| 17.56
|
|
|
|
|
|-
| 4
| 23.41
| [[81/80]]
| [[64/63]]
|
|
|
|-
| 5
| 29.27
|
|
|
|
|
|-
| 6
| 35.12
|
|
|
|
|
|-
| 7
| 40.98
|
|
|
|
|
|-
| 8
| 46.83
|
|
|
|
|
|-
| 9
| 52.68
|
|
|
|
|
|-
| 10
| 58.54
|
|
|
|
|
|-
| 11
| 64.39
|
|
|
|
|
|-
| 12
| 70.24
|
|
|
|
|
|-
| 13
| 76.10
|
|
| ''[[22/21]]''
|
|
|-
| 14
| 81.95
|
|
|
|
|
|-
| 15
| 87.80
|
| ''[[21/20]]''
|
|
| [[20/19]]
|-
| 16
| 93.66
|
|
|
|
| [[19/18]]
|-
| 17
| 99.51
|
|
|
|
| [[18/17]]
|-
| 18
| 105.37
|
|
|
|
| [[17/16]]
|-
| 19
| 111.22
| [[16/15]]
|
|
|
|
|-
| 20
| 117.07
|
| [[15/14]]
|
|
|
|-
| 21
| 122.93
|
|
|
|
|
|-
| 22
| 128.78
|
|
|
| [[14/13]]
|
|-
| 23
| 134.63
| [[27/25]]
|
|
|
|
|-
| 24
| 140.49
|
|
|
| [[13/12]]
|
|-
| 25
| 146.34
|
|
|
|
|
|-
| 26
| 152.20
|
|
| [[12/11]]
|
|
|-
| 27
| 158.05
|
|
|
|
|
|-
| 28
| 163.90
|
|
| [[11/10]]
|
|
|-
| 29
| 169.76
|
|
|
|
|
|-
| 30
| 175.61
|
|
|
|
| [[21/19]]
|-
| 31
| 181.46
| [[10/9]]
|
|
|
|
|-
| 32
| 187.32
|
|
|
|
|
|-
| 33
| 193.17
|
|
|
|
| [[19/17]]
|-
| 34
| 199.02
|
|
|
|
|
|-
| 35
| 204.88
| [[9/8]]
|
|
|
|
|-
| 36
| 210.73
|
|
|
|
|
|-
| 37
| 216.59
|
|
|
|
| [[17/15]]
|-
| 38
| 222.44
|
|
|
|
|
|-
| 39
| 228.29
| [[8/7]]
|
|
|
|
|-
| 40
| 234.15
|
|
|
|
|
|-
| 41
| 240.00
|
|
|
|
|
|-
| 42
| 245.85
|
|
|
|
|
|-
| 43
| 251.71
|
|
|
|
|
|-
| 44
| 257.56
|
|
|
|
|
|-
| 45
| 263.41
|
|
|
|
|
|-
| 46
| 269.27
|
|
|
|
|
|-
| 47
| 275.12
|
|
|
|
|
|-
| 48
| 280.98
|
|
|
|
|
|-
| 49
| 286.83
|
|
|
|
|
|-
| 50
| 292.68
|
|
|
|
|
|-
| 51
| 298.54
|
|
|
|
|
|-
| 52
| 304.39
|
|
|
|
|
|-
| 53
| 310.24
|
|
|
|
|
|-
| 54
| 316.10
|
|
|
|
|
|-
| 55
| 321.95
|
|
|
|
|
|-
| 56
| 327.80
|
|
|
|
|
|-
| 57
| 333.66
|
|
|
|
|
|-
| 58
| 339.51
|
|
|
|
|
|-
| 59
| 345.37
|
|
|
|
|
|-
| 60
| 351.22
|
|
|
|
|
|-
| 61
| 357.07
|
|
|
|
|
|-
| 62
| 362.93
|
|
|
|
|
|-
| 63
| 368.78
|
|
|
|
|
|-
| 64
| 374.63
|
|
|
|
|
|-
| 65
| 380.49
|
|
|
|
|
|-
| 66
| 386.34
|
|
|
|
|
|-
| 67
| 392.20
|
|
|
|
|
|-
| 68
| 398.05
|
|
|
|
|
|-
| 69
| 403.90
|
|
|
|
|
|-
| 70
| 409.76
|
|
|
|
|
|-
| 71
| 415.61
|
|
|
|
|
|-
| 72
| 421.46
|
|
|
|
|
|-
| 73
| 427.32
|
|
|
|
|
|-
| 74
| 433.17
|
|
|
|
|
|-
| 75
| 439.02
|
|
|
|
|
|-
| 76
| 444.88
|
|
|
|
|
|-
| 77
| 450.73
|
|
|
|
|
|-
| 78
| 456.59
|
|
|
|
|
|-
| 79
| 462.44
|
|
|
|
|
|-
| 80
| 468.29
|
|
|
|
|
|-
| 81
| 474.15
|
|
|
|
|
|-
| 82
| 480.00
|
|
|
|
|
|-
| 83
| 485.85
|
|
|
|
|
|-
| 84
| 491.71
|
|
|
|
|
|-
| 85
| 497.56
|
|
|
|
|
|-
| 86
| 503.41
|
|
|
|
|
|-
| 87
| 509.27
|
|
|
|
|
|-
| 88
| 515.12
|
|
|
|
|
|-
| 89
| 520.98
|
|
|
|
|
|-
| 90
| 526.83
|
|
|
|
|
|-
| 91
| 532.68
|
|
|
|
|
|-
| 92
| 538.54
|
|
|
|
|
|-
| 93
| 544.39
|
|
|
|
|
|-
| 94
| 550.24
|
|
|
|
|
|-
| 95
| 556.10
|
|
|
|
|
|-
| 96
| 561.95
|
|
|
|
|
|-
| 97
| 567.80
|
|
|
|
|
|-
| 98
| 573.66
|
|
|
|
|
|-
| 99
| 579.51
|
|
|
|
|
|-
| 100
| 585.37
|
|
|
|
|
|-
| 101
| 591.22
|
|
|
|
|
|-
| 102
| 597.07
|
|
|
|
|
|-
| 103
| 602.93
|
|
|
|
|
|-
| 104
| 608.78
|
|
|
|
|
|-
| 105
| 614.63
|
|
|
|
|
|-
| 106
| 620.49
|
|
|
|
|
|-
| 107
| 626.34
|
|
|
|
|
|-
| 108
| 632.20
|
|
|
|
|
|-
| 109
| 638.05
|
|
|
|
|
|-
| 110
| 643.90
|
|
|
|
|
|-
| 111
| 649.76
|
|
|
|
|
|-
| 112
| 655.61
|
|
|
|
|
|-
| 113
| 661.46
|
|
|
|
|
|-
| 114
| 667.32
|
|
|
|
|
|-
| 115
| 673.17
|
|
|
|
|
|-
| 116
| 679.02
|
|
|
|
|
|-
| 117
| 684.88
|
|
|
|
|
|-
| 118
| 690.73
|
|
|
|
|
|-
| 119
| 696.59
|
|
|
|
|
|-
| 120
| 702.44
|
|
|
|
|
|-
| 121
| 708.29
|
|
|
|
|
|-
| 122
| 714.15
|
|
|
|
|
|-
| 123
| 720.00
|
|
|
|
|
|-
| 124
| 725.85
|
|
|
|
|
|-
| 125
| 731.71
|
|
|
|
|
|-
| 126
| 737.56
|
|
|
|
|
|-
| 127
| 743.41
|
|
|
|
|
|-
| 128
| 749.27
|
|
|
|
|
|-
| 129
| 755.12
|
|
|
|
|
|-
| 130
| 760.98
|
|
|
|
|
|-
| 131
| 766.83
|
|
|
|
|
|-
| 132
| 772.68
|
|
|
|
|
|-
| 133
| 778.54
|
|
|
|
|
|-
| 134
| 784.39
|
|
|
|
|
|-
| 135
| 790.24
|
|
|
|
|
|-
| 136
| 796.10
|
|
|
|
|
|-
| 137
| 801.95
|
|
|
|
|
|-
| 138
| 807.80
|
|
|
|
|
|-
| 139
| 813.66
|
|
|
|
|
|-
| 140
| 819.51
|
|
|
|
|
|-
| 141
| 825.37
|
|
|
|
|
|-
| 142
| 831.22
|
|
|
|
|
|-
| 143
| 837.07
|
|
|
|
|
|-
| 144
| 842.93
|
|
|
|
|
|-
| 145
| 848.78
|
|
|
|
|
|-
| 146
| 854.63
|
|
|
|
|
|-
| 147
| 860.49
|
|
|
|
|
|-
| 148
| 866.34
|
|
|
|
|
|-
| 149
| 872.20
|
|
|
|
|
|-
| 150
| 878.05
|
|
|
|
|
|-
| 151
| 883.90
|
|
|
|
|
|-
| 152
| 889.76
|
|
|
|
|
|-
| 153
| 895.61
|
|
|
|
|
|-
| 154
| 901.46
|
|
|
|
|
|-
| 155
| 907.32
|
|
|
|
|
|-
| 156
| 913.17
|
|
|
|
|
|-
| 157
| 919.02
|
|
|
|
|
|-
| 158
| 924.88
|
|
|
|
|
|-
| 159
| 930.73
|
|
|
|
|
|-
| 160
| 936.59
|
|
|
|
|
|-
| 161
| 942.44
|
|
|
|
|
|-
| 162
| 948.29
|
|
|
|
|
|-
| 163
| 954.15
|
|
|
|
|
|-
| 164
| 960.00
|
|
|
|
|
|-
| 165
| 965.85
|
|
|
|
|
|-
| 166
| 971.71
|
|
|
|
|
|-
| 167
| 977.56
|
|
|
|
|
|-
| 168
| 983.41
|
|
|
|
|
|-
| 169
| 989.27
|
|
|
|
|
|-
| 170
| 995.12
|
|
|
|
|
|-
| 171
| 1000.98
|
|
|
|
|
|-
| 172
| 1006.83
|
|
|
|
|
|-
| 173
| 1012.68
|
|
|
|
|
|-
| 174
| 1018.54
|
|
|
|
|
|-
| 175
| 1024.39
|
|
|
|
|
|-
| 176
| 1030.24
|
|
|
|
|
|-
| 177
| 1036.10
|
|
|
|
|
|-
| 178
| 1041.95
|
|
|
|
|
|-
| 179
| 1047.80
|
|
|
|
|
|-
| 180
| 1053.66
|
|
|
|
|
|-
| 181
| 1059.51
|
|
|
|
|
|-
| 182
| 1065.37
|
|
|
|
|
|-
| 183
| 1071.22
|
|
|
|
|
|-
| 184
| 1077.07
|
|
|
|
|
|-
| 185
| 1082.93
|
|
|
|
|
|-
| 186
| 1088.78
|
|
|
|
|
|-
| 187
| 1094.63
|
|
|
|
|
|-
| 188
| 1100.49
|
|
|
|
|
|-
| 189
| 1106.34
|
|
|
|
|
|-
| 190
| 1112.20
|
|
|
|
|
|-
| 191
| 1118.05
|
|
|
|
|
|-
| 192
| 1123.90
|
|
|
|
|
|-
| 193
| 1129.76
|
|
|
|
|
|-
| 194
| 1135.61
|
|
|
|
|
|-
| 195
| 1141.46
|
|
|
|
|
|-
| 196
| 1147.32
|
|
|
|
|
|-
| 197
| 1153.17
|
|
|
|
|
|-
| 198
| 1159.02
|
|
|
|
|
|-
| 199
| 1164.88
|
|
|
|
|
|-
| 200
| 1170.73
|
|
|
|
|
|-
| 201
| 1176.59
|
|
|
|
|
|-
| 202
| 1182.44
|
|
|
|
|
|-
| 203
| 1188.29
|
|
|
|
|
|-
| 204
| 1194.15
|
|
|
|
|
|-
| 205
| 1200.00
| colspan="5" | [[2/1]]
|}