Xenharmonic Wiki

Table of 3-limit commas: Difference between revisions

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A [[3-limit]] comma is the amount which separates m [[3/2|fifth]]<nowiki/>s from n [[octave]]<nowiki/>s. It is the simplest kind of comma a tuning may [[Tempering out|temper out]]. All commas not equal to the perfect fourth listed here generate interlaced pentatonic scales and fifths tempered by up to one step of n [[EDO]] when tempered out.
A [[3-limit]] comma is the amount which separates ''m'' [[3/2|fifths]] from ''n'' [[octave]]s. It is the simplest kind of comma a tuning may [[Tempering out|temper out]]. All commas not equal to the perfect fourth listed here generate interlaced pentatonic scales and fifths tempered by up to one step of ''n''-[[edo]] when tempered out.


{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="2" |Name(s)
! colspan="2" | Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Color notation|Color Name]]
! Monzo
! [[Monzo]]
! Cents
! [[Cent]]s
!Name
! colspan="2" |[[Color notation|Color Name]]
!Monzo
!Cents
|-
|
|106-comma
|wa-106 comma
|w-106
|{{monzo|169 -106}}
|1192.77
|
|
|
|
|
|-
|
| 82-comma
| wa-82 comma
| w-82
|{{monzo| 129 -82 }}
| 1160.31
|
|
|
|
|
|-
|
|130-comma
|wa-130 comma
|w-130
|{{monzo| 207 -130 }}
|1145.85
|
|
|
|
|
|-
|
|123-comma
|wa-123 comma
|w-123
|{{monzo| -194 123}}
|1140.465
|
|
|
|
|
|-
|
| 58-comma
| wa-58 comma
| w-58
|{{monzo| -91 58 }}
| 1113.39
|
|
|
|
|
|-
|
| 48-comma
| wa-48 comma
| w-48
|{{monzo| 77 -48 }}
| 1106.16
|
|
|
|
|
|-
|
|140-comma
|wa-140 comma
|w-140
|{{monzo| -221 140 }}
|1073.7
|
|
|
|
|
|-
|
| 87-comma
| wa-87 comma
| w-87
|{{monzo| -137 87 }}
| 1070.085
|
|
|
|
|
|-
|
| 34-comma
| wa-34 comma
| w-34
|{{monzo| -53 34 }}
| 1066.47
|
|
|
|
|
|-
|
| 72-comma
| wa-72 comma
| w-72
|{{monzo|115 -72}}
| 1059.24
|
|
|
|
|
|-
|
|116-comma
|wa-116 comma
|w-116
|{{monzo| -183 116 }}
|1026.78
|
|
|
|
|
|-
|
| 51-comma
| wa-51 comma
| w-51
|{{monzo| -80 51 }}
| 999.705
|
|
|
|
|
|-
|
|145-comma
|wa-145 comma
|w-145
|{{monzo| -229 145 }}
|983.475
|
|
|
|
|
|-
|
| 92-comma
| wa-92 comma
| w-92
|{{monzo| -145 92 }}
| 979.86
|
|
|
|
|
|-
|
| 14-comma
| sawa 7th
| sw7
|{{Monzo|23 -14}}
| 972.63
|
|
|
|
|
|-
|
|120-comma
|wa-120 comma
|w-120
|{{monzo| 191 -120}}
|965.4
|
|
|
|
|
|-
|
| 68-comma
| wa-68 comma
| w-68
|{{monzo| -107 68 }}
| 932.94
|
|
|
|
|
|-
| Pythagorean supermajor sixth
| 15-comma
| lawa 6th
| Lw6
|{{Monzo|-23 15}}
| 929.325
|
|
|
|
|
|-
|
| 38-comma
| wa-38 comma
| w-38
|{{monzo| -61 38 }}
| 925.71
|
|
|
|
|
|-
|
|144-comma
|wa-144 comma
|w-144
|{{monzo| 229 -144 }}
|918.48
|
|
|
|
|
|-
|
| 44-comma
| wa-44 comma
| w-44
|{{monzo| 69 -44 }}
| 886.02
|
|
|
|
|
|-
|
| 62-comma
| wa-62 comma
| w-62
|{{monzo| 99 -62 }}
| 878.79
|
|
|
|
|
|-
|
| 85-comma
| wa-85 comma
| w-85
|{{monzo| -134 85 }}
| 866.175
|
|
|
|
|
|-
|
| 21-comma
| wa-21 comma
| w-21
|{{Monzo| 34 -21}}
| 858.945
|
|
|
|
|
|-
|
|126-comma
|wa-126 comma
|w-126
|{{monzo| -199 126}}
|846.33
|
|
|
|
|
|-
|
| 20-comma
| wa-20 comma
| w-20
|{{Monzo| -31 20}}
| 839.1
|
|
|
|
|
|-
|
| 86-comma
| wa-86 comma
| w-86
|{{monzo| 137 -86 }}
| 831.87
|
|
|
|
|
|-
|
| 102-comma
| wa-102 comma
| w-102
|{{monzo| -161 102 }}
| 799.41
|
|
|
|
|
|-
|
| 57-comma
| wa-57 comma
| w-57
|{{monzo| 91 -57 }}
| 788.565
|
|
|
|
|
|-
|
| 25-comma
| wa-25 comma
| w-25
|{{Monzo| -39 25}}
| 748.875
|
|
|
|
|
|-
|
| 28-comma
| wa-28 comma
| w-28
|{{monzo| 45 -28}}
| 745.26
|
|
|
|
|
|-
|
|134-comma
|wa-134 comma
|w-134
|{{monzo| 213 -134 }}
|738.03
|
|
|
|
|
|-
|
|119-comma
|wa-119 comma
|w-119
|{{monzo| -188 119 }}
|732.645
|
|
|
|
|
|-
|
| 93-comma
| wa-93 comma
| w-93
|{{monzo| 148 -93 }}
| 718.185
|
|
|
|
|
|-
|
| 54-comma
| wa-54 comma
| w-54
|{{monzo| -85 54 }}
| 705.57
|
|
|
|
|
|-
|
| 52-comma
| wa-52 comma
| w-52
|{{monzo| 83 -52 }}
| 698.33
|
|
|
|
|
|-
|
|136-comma
|wa-136 comma
|w-136
|{{monzo| -215 136 }}
|665.88
|
|
|
|
|
|-
|
| 83-comma
| wa-83 comma
| w-83
|{{monzo| -132 83 }}
| 662.265
|
|
|
|
|
|-
|
| 30-comma
| wa-30 comma
| w-30
|{{monzo| -47 30 }}
| 658.65
|
|
|
|
|
|-
|
| 76-comma
| wa-76 comma
| w-76
|{{monzo| -121 76 }}
| 651.42
|
|
|
|
|
|-
|
|129-comma
|wa-129 comma
|w-129
|{{monzo| 205 -129}}
|647.805
|
|
|
|
|
|-
|
|112-comma
|wa-112 comma
|w-112
|{{monzo| 177 -112 }}
|618.96
|
|
|
|
|
|-
|
| 100-comma
| wa-100 comma
| w-100
|{{monzo| 159 -100 }}
| 604.49
|
|
|
|
|
|-
|
| 47-comma
| wa-47 comma
| w-47
|{{monzo| -74 47 }}
| 591.885
|
|wa-47b comma
|w-47b
|{{monzo| 75 -47 }}
|610.115
|-
|
| 59-comma
| wa-59 comma
| w-59
|{{monzo| 94 -59 }}
| 584.655
|
|wa-59b comma
|w-59b
|{{monzo| -93 59 }}
|615.345
|-
|
|141-comma
|wa-141 comma
|w-141
|{{monzo| -223 141 }}
|575.655
|
|wa-141b comma
|w-141b
|{{monzo| 224 -141 }}
|624.345
|-
|
| 88-comma
| wa-88 comma
| w-88
|{{monzo| 139 -88 }}
| 572.04
|
|
|
|
|
|-
|
| 18-comma
| wa-18 comma
| w-18
|{{monzo|29 -18}}
| 564.81
|
|
|
|
|
|-
|
| 23-comma
| wa-23 comma
| w-23
|{{monzo| -36 23}}
| 544.965
|
|wa-23b comma
|w-23b
|{{monzo| 37 -23}}
|655.055
|-
|
| 83-comma
| wa-83 comma
| w-83
|{{monzo| 133 -83 }}
| 537.735
|
|
|
|
|
|-
|
| 71-comma
| wa-71 comma
| w-71
|{{monzo|113 -71}}
| 561.195
|
|wa-71b comma
|w-71b
|{{monzo|-112 71}}
|638.805
|-
|
|124-comma
|wa-124 comma
|w-124
|{{monzo| 197 -124}}
|557.58
|
|
|
|
|
|-
|
|117-comma
|wa-117 comma
|w-117
|{{monzo| -185 117 }}
|528.735
|
|
|
|
|
|-
| Pythagorean-[[Armodue]] fourth
| 64-comma
| wa-64 comma
| w-64
|{{monzo| -101 64 }}
| 525.12
|
|
|
|
|
|-
| Pythagorean wolf fourth
| 11-comma
| lawa 4th
| Lw4
|{{monzo| -17 11}}
| 521.505
|Pythagorean wolf fifth
|sawa 5th
|sw5
|{{monzo| 18 -11}}
|678.495
|-
|
| 42-comma
| wa-42 comma
| w-42
|{{monzo| 67 -42 }}
| 517.89
|
|
|
|
|
|-
|
| 95-comma
| wa-95 comma
| w-95
|{{monzo| 151 -95 }}
| 514.275
|
|
|
|
|
|-
|
|148-comma
|wa-148 comma
|w-148
|{{monzo| 235 -148 }}
|510.66
|
|
|
|
|
|-
|
|105-comma
|wa-105 comma
|w-105
|{{monzo|-166 105}}
|505.275
|
|wa-105b comma
|w-105b
|{{monzo|167 -105}}
|694.725
|-
|[[4/3|perfect fourth]]
| 1-comma
| wa 4th
| w4
|{{monzo| 2 -1}}
| 498.045
|[[perfect fifth]]
|wa 5th
|w5
|{{monzo| -1 1}}
|701.955
|-
|
|107-comma
|wa-107 comma
|w-107
|{{monzo|170 -107}}
|490.815
|
|wa-107b comma
|w-107b
|{{monzo|-169 107}}
|709.185
|-
|
|146-comma
|wa-146 comma
|w-146
|{{monzo| -229 146 }}
|485.43
|
|
|
|
|
|-
|
| 40-comma
| wa-40 comma
| w-40
|{{monzo| 63 -40 }}
| 478.2
|
|
|
|
|
|-
|
| 13-comma
| sawa 4th
| sw4
|{{Monzo| 21 -13}}
| 474.585
|
|lawa 5th
|Lw5
|{{Monzo| -20 13}}
|725.415
|-
|
| 81-comma
| wa-81 comma
| w-81
|{{monzo| -128 81 }}
| 458.355
|
|
|
|
|
|-
|
|131-comma
|wa-131 comma
|w-131
|{{monzo| 208 -131 }}
|443.895
|
|wa-131b comma
|w-131b
|{{monzo|-207 131 }}
|756.195
|-
|
|122-comma
|wa-122 comma
|w-122
|{{monzo| -193 122}}
|438.51
|
|
|
|
|
|-
|
| 69-comma
| wa-69 comma
| w-69
|{{monzo| -109 69 }}
| 434.895
|
|wa-69b comma
|w-69b
|{{monzo| 110 -69 }}
|765.105
|-
| Pythagorean supermajor third
| 16-comma
| lawa 3rd
| Lw3
|{{Monzo|-25 16}}
| 431.28
|
|
|
|
|
|-
|
| 37-comma
| wa-37 comma
| w-37
|{{monzo| 59 -37 }}
| 427.665
|
|wa-37b comma
|w-37b
|{{monzo| -58 37 }}
|772.335
|-
|
| 90-comma
| wa-90 comma
| w-90
|{{monzo| -143 90 }}
| 424.05
|
|
|
|
|
|-
|
|143-comma
|wa-143 comma
|w-143
|{{monzo| -227 143 }}
|420.435
|
|wa-143b comma
|w-143b
|{{monzo| 228 -143 }}
|779.565
|-
|
| 49-comma
| wa-49 comma
| w-49
|{{monzo| 78 -49 }}
| 404.205
|
|
|
|
|
|-
|
|151-comma
|wa-151 comma
|w-151
|{{monzo|-239 151}}
|395.205
|
|wa-151b comma
|w-151b
|{{monzo| 240 -151}}
|804.795
|-
|
| 98-comma
| wa-98 comma
| w-98
|{{monzo| -155 98 }}
| 391.59
|
|
|
|
|
|-
|
| 45-comma
| wa-45 comma
| w-45
|{{monzo| -71 45 }}
| 387.975
|
|
|
|
|
|-
| Pythagorean diminished fourth
| 8-comma
| sawa 4th
| sw4
|{{Monzo| 13 -8 }}
| 384.360
|
|
|
|
|
|-
| Pythagorean 1/5 tritave
| 61-comma
| wa-61 comma
| w-61
|{{monzo| 97 -61 }}
| 380.745
|
|wa-61b comma
|w-61b
|{{monzo| -96 61 }}
|819.255
|-
|
|114-comma
|wa-114 comma
|w-114
|{{monzo| 181 -114 }}
|377.13
|
|
|
|
|
|-
|
|139-comma
|wa-139 comma
|w-139
|{{monzo| -220 139 }}
|371.745
|
|wa-139b comma
|w-139b
|{{monzo| 221 -139 }}
|828.255
|-
|
| 33-comma
| wa-33 comma
| w-33
|{{monzo| -52 33 }}
| 364.515
|
|wa-33b comma
|w-33b
|{{monzo| 53 -33 }}
|835.485
|-
|
| 73-comma
| wa-73 comma
| w-73
|{{monzo|116 -73}}
| 357.285
|
|wa-73b comma
|w-73b
|{{monzo|-115 73}}
|842.715
|-
|
|127-comma
|wa-127 comma
|w-127
|{{monzo| -201 127}}
|348.285
|
|wa-127 comma
|w-127
|{{monzo| 202 -127}}
|851.715
|-
|
| 74-comma
| wa-74 comma
| w-74
|{{monzo|117 -74}}
| 344.67
|
|
|
|
|
|-
|
| 32-comma
| wa-32 comma
| w-32
|{{monzo| 51 -32 }}
| 337.44
|
|
|
|
|
|-
|
|115-comma
|wa-115 comma
|w-115
|{{monzo| -182 115 }}
|324.825
|
|wa-115b comma
|w-115b
|{{monzo| 183 -115 }}
|875.175
|-
| Pythagorean augmented second
| 9-comma
| lawa 2nd
| Lw2
|{{Monzo| -14 9 }}
| 317.595
|
|
|
|
|
|-
|
| 97-comma
| wa-97 comma
| w-97
|{{monzo| 153 -97 }}
| 310.365
|
|wa-97b comma
|w-97b
|{{monzo|153 -97 }}
|889.365
|-
|
|103-comma
|wa-103 comma
|w-103
|{{monzo|-163 103 }}
|301.37
|
|wa-103b comma
|w-103b
|{{monzo| 164 -103 }}
|898.63
|-
|
| 50-comma
| wa-50 comma
| w-50
|{{monzo| -79 50 }}
| 297.75
|
|
|
|
|
|-
| Pythagorean minor third
| 3-comma
| wa 3rd
| w3
|{{Monzo| 5 -3 }}
| 294.135
|Pythagorean major sixth
|wa 6th
|w6
|{{Monzo| -4 3 }}
|905.865
|-
|
| 56-comma
| wa-56 comma
| w-56
|{{monzo| 89 -56 }}
| 290.52
|
|
|
|
|
|-
|
|109-comma
|wa-109 comma
|w-109
|{{monzo|173 -109}}
|286.905
|
|wa-109b comma
|w-109b
|{{monzo|-172 109}}
|913.095
|-
|
| 91-comma
| wa-91 comma
| w-91
|{{monzo| -144 91 }}
| 277.905
|
|wa-91b comma
|w-91b
|{{monzo| 145 -91 }}
|922.095
|-
|
|121-comma
|wa-121 comma
|w-121
|{{monzo| 192 -121}}
|263.445
|
|wa-121b comma
|w-121b
|{{monzo| -191 121}}
|936.555
|-
|
|131-comma
|wa-131 comma
|w-131
|{{monzo| 208 -131 }}
|258.06
|
|
|
|
|
|-
|
| 79-comma
| wa-79 comma
| w-79
| {{monzo| -125 79 }}
| 254.445
|
|wa-79b comma
|w-79b
|{{monzo| 126 -79 }}
|945.555
|-
|
| 26-comma
| wa-26 comma
| w-26
|{{monzo| -41 26 }}
| 250.83
|
|
|
|
|
|-
|
| 27-comma
| wa-27 comma
| w-27
|{{monzo| 43 -27 }}
| 247.215
|
|wa-27b comma
|w-27b
|{{monzo| -44 27}}
|952.785
|-
|
| 80-comma
| wa-80 comma
| w-80
|{{monzo| 127 -80 }}
| 243.6
|
|
|
|
|
|-
|
| 67-comma
| wa-67 comma
| w-67
|{{monzo| -106 67 }}
| 230.985
|Pythagorean harmonic seventh
|wa-67b comma
|w-67b
|{{monzo| 107 -67 }}
|969.015
|-
|
| 39-comma
| wa-39 comma
| w-39
|{{monzo| 62 -39 }}
| 223.75
|
|wa-39b comma
|w-39b
|{{monzo| -61 39 }}
|976.25
|-
|
| 55-comma
| wa-55 comma
| w-55
|{{monzo| -87 55 }}
| 207.525
|
|
|
|
|
|-
|-
| whole tone
| whole tone
Line 1,252: Line 12:
| wa 2nd
| wa 2nd
| w2
| w2
|{{monzo| -3 2 }}
| {{Monzo| -3 2 }}
| 203.91
| 203.91
|-
|
|
| 193-comma
| wa-193 comma
| w-193
| {{Monzo| 306 -193 }}
| 202.46
|-
|
|
| 255-comma
| wa-255 comma
| w-255
| {{Monzo| -404 255 }}
| 198.525
|-
|
|
| 104-comma
| wa-104 comma
| w-104
| {{Monzo| 165 -104 }}
| 196.68
|-
|
|
|
| 157-comma
| wa-157 comma
| w-157
| {{Monzo| 249 -157 }}
| 193.065
|-
|-
|
|
|104-comma
| 149-comma
|wa-104 comma
| wa-149 comma
|w-104
| w-149
|{{monzo|165 -104}}
| {{Monzo| -236 149 }}
|196.68
| 191.295
|
|
|
|
|
|-
|-
|
|
|149-comma
| 263-comma
|wa-149 comma
| wa-263 comma
|w-149
| w-263
|{{monzo| -236 149 }}
| {{Monzo| 417 -263 }}
|191.295
| 185.835
|
|wa-149b comma
|w-149b
|{{monzo| 237 -149 }}
|1008.705
|-
|-
|
|
Line 1,288: Line 61:
| wa-43 comma
| wa-43 comma
| w-43
| w-43
|{{monzo| -68 43 }}
| {{Monzo| -68 43 }}
| 184.065
| 184.065
|-
|
|
|wa-43b comma
| 296-comma
|w-43b
| wa-296 comma
|{{monzo| 67 -43 }}
| w-296
|1015.395
| {{Monzo| -469 296 }}
| 178.68
|-
|-
|
|
Line 1,300: Line 75:
| wa-63 comma
| wa-63 comma
| w-63
| w-63
|{{monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
| 176.835
| 176.835
|-
|
|
| 243-comma
| wa-243 comma
| w-243
| {{Monzo| -385 243 }}
| 175.605
|-
|
|
| 190-comma
| wa-190 comma
| w-190
| {{Monzo| -301 190 }}
| 171.45
|-
|
|
| 169-comma
| wa-169 comma
| w-169
| {{Monzo| 268 -169}}
| 169.605
|-
|
|
|
| 137-comma
| wa-137 comma
| w-137
| {{Monzo| -217 137 }}
| 167.835
|-
|-
|
|
|137-comma
| 275-comma
|wa-137 comma
| wa-275 comma
|w-137
| w-275
|{{monzo| -217 137 }}
| {{Monzo| 436 -275 }}
|167.835
| 162.375
|
|wa-137b comma
|w-137b
|{{monzo| 218 -137 }}
|1032.165
|-
|-
|
|
|[[31-comma_temperaments|31-comma]]
| [[31-comma_temperaments|31-comma]]
| wa-31 comma
| wa-31 comma
| w-31
| w-31
|{{monzo| -49 31 }}
| {{Monzo| -49 31 }}
| 160.605
| 160.605
|
|wa-31b comma
|w-31b
|{{monzo| 50 -31 }}
|1039.395
|-
|-
|
|
Line 1,336: Line 124:
| wa-22 comma
| wa-22 comma
| w-22
| w-22
|{{monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
| 156.99
| 156.99
|
|
|
|
|
|-
|-
|
|
Line 1,348: Line 131:
| wa-75 comma
| wa-75 comma
| w-75
| w-75
|{{monzo|119 -75}}
| {{Monzo|119 -75}}
| 153.375
| 153.375
|-
|
|
|wa-75b comma
| 128-comma
|w-75b
| wa-128 comma
|{{monzo|-118 75}}
| w-128
|1046.625
| {{Monzo| 203 -128}}
| 149.76
|-
|-
|
|
|128-comma
| 181-comma
|wa-128 comma
| wa-181 comma
|w-128
| w-181
|{{monzo| 203 -128}}
| {{Monzo| 287 -181 }}
|149.76
| 146.145
|
|-
|
|
|
|
|
| 125-comma
| wa-125 comma
| w-125
| {{Monzo| -198 125}}
| 144.375
|-
|-
|
|
|125-comma
| 234-comma
|wa-125 comma
| wa-234 comma
|w-125
| w-234
|{{monzo| -198 125}}
| {{Monzo| 371 -234 }}
|144.375
| 142.53
|
|wa-125b comma
|w-125b
|{{monzo| 199 -125}}
|1055.625
|-
|-
|
|
Line 1,384: Line 166:
| wa-19 comma
| wa-19 comma
| w-19
| w-19
|{{monzo| -30 19 }}
| {{Monzo| -30 19 }}
| 137.145
| 137.145
|-
|
| 272-comma
| wa-272 comma
| w-272
| {{Monzo| -431 272 }}
| 131.75
|-
|
|
|wa-19b comma
| 219-comma
|w-19b
| wa-219 comma
|{{monzo|31 -19}}
| w-219
|1062.855
| {{Monzo| -347 219 }}
| 128.145
|-
|-
|
|
|113-comma
| 166-comma
|wa-113 comma
| wa-166 comma
|w-113
| w-166
|{{monzo| 179 -113 }}
| {{Monzo| -263 166}}
|120.915
| 124.53
|-
|
|
|wa-113b comma
| 113-comma
|w-113b
| wa-113 comma
|{{monzo| 180 -113 }}
| w-113
|1079.085
| {{Monzo| 179 -113 }}
| 120.915
|-
|-
| [[2187/2048|apotome]]
| [[2187/2048|Apotome]]
| 7-comma
| 7-comma
| lawa unison
| lawa unison
| Lw1
| Lw1
|{{monzo| -11 7 }}
| {{Monzo| -11 7 }}
| 113.685
| 113.685
|
|-
|sawa octave
| Pythagorean-septendecimal semitone
|Sw8
| 207-comma
|{{monzo| 12 -7 }}
| wa-207 comma
|1086.315
| w-207
| {{Monzo| -328 207 }}
| 104.685
|-
|-
|
|
Line 1,420: Line 215:
| wa-46 comma
| wa-46 comma
| w-46
| w-46
|{{monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
| 110.07
| 110.07
|
|
|
|
|
|-
|-
|
|
Line 1,432: Line 222:
| wa-99 comma
| wa-99 comma
| w-99
| w-99
|{{monzo| 157 -99 }}
| {{Monzo| 157 -99 }}
| 106.455
| 106.455
|-
|
|
|
| 152-comma
|
| wa-152 comma
|
| w-152
|
| {{Monzo| 241 -152 }}
| 102.84
|-
|-
|
|
Line 1,444: Line 236:
| wa-101 comma
| wa-101 comma
| w-101
| w-101
|{{monzo| -160 101 }}
| {{Monzo| -160 101 }}
| 97.455
| 97.455
|-
|
|
|wa-101b comma
| 258-comma
|w-101b
| wa-258 comma
|{{monzo| 159 -101 }}
| w-258
|1102.545
| {{Monzo| 409 -258 }}
| 95.61
|-
|-
| limma, Pythagorean minor second
| Limma, Pythagorean minor second
| 5-comma
| 5-comma
| sawa 2nd
| sawa 2nd
| sw2
| sw2
|{{monzo| 8 -5 }}
| {{Monzo| 8 -5 }}
| 90.225
| 90.225
|Pythagorean major seventh
|lawa 7th
|Lw7
|{{monzo| -7 5 }}
|1109.775
|-
|-
|
|
Line 1,468: Line 257:
| wa-301 comma
| wa-301 comma
| w-301
| w-301
|{{monzo| -477 301 }}
| {{Monzo| -477 301 }}
| 88.455
| 88.455
|
|wa-301b comma
|w-301b
|{{monzo| 478 -301 }}
|1111.545
|-
|-
|
|
Line 1,480: Line 264:
| wa-248 comma
| wa-248 comma
| w-248
| w-248
|{{monzo| -393 248 }}
| {{Monzo| -393 248 }}
| 84.840
| 84.840
|
|
|
|
|
|-
|-
|
|
Line 1,492: Line 271:
| wa-111 comma
| wa-111 comma
| w-111
| w-111
|{{monzo| 176 -111 }}
| {{Monzo| 176 -111 }}
| 82.995
| 82.995
|-
|
|
|wa-111b comma
| 195-comma
|w-111b
| wa-195 comma
|{{monzo| -175 111 }}
| w-195
|1117.005
| {{Monzo| -309 195 }}
| 81.225
|-
|-
|
|
Line 1,504: Line 285:
| wa-142 comma
| wa-142 comma
| w-142
| w-142
|{{monzo| -225 142 }}
| {{Monzo| -225 142 }}
| 77.610
| 77.610
|
|
|
|
|
|-
|-
|
|
Line 1,516: Line 292:
| wa-217 comma
| wa-217 comma
| w-217
| w-217
|{{monzo| 344 -217 }}
| {{Monzo| 344 -217 }}
| 75.765
| 75.765
|
|
|
|
|
|-
|-
|
|
Line 1,528: Line 299:
| wa-89 comma
| wa-89 comma
| w-89
| w-89
|{{monzo| -141 89 }}
| {{Monzo| -141 89 }}
| 73.995
| 73.995
|
|wa-89b comma
|w-89b
|{{monzo| 142 -89 }}
|1126.005
|-
|-
|
|
|[[17-comma]]
| [[17-comma]]
| wa-17 comma
| wa-17 comma
| ssw3
| w-17
|{{monzo| 27 -17 }}
| {{Monzo| 27 -17 }}
| 66.765
| 66.765
|Pythagorean supermajor seventh
|lawa 7th
|Lw7
|{{monzo| -26 17 }}
|1133.235
|-
|-
|
|
Line 1,552: Line 313:
| wa-289 comma
| wa-289 comma
| w-289
| w-289
|{{monzo| -458 289 }}
| {{Monzo| -458 289 }}
| 64.995
| 64.995
|
|wa-289b comma
|w-289b
|{{monzo| 459 -289 }}
|1135.005
|-
|-
|
|
Line 1,564: Line 320:
| wa-70 comma
| wa-70 comma
| w-70
| w-70
|{{monzo| 111 -70 }}
| {{Monzo| 111 -70 }}
| 63.150
| 63.150
|
|
|
|
|
|-
|-
|
|
Line 1,576: Line 327:
| wa-183 comma
| wa-183 comma
| w-183
| w-183
|{{monzo| -290 183 }}
| {{Monzo| -290 183 }}
| 57.765
| 57.765
|
|
|
|
|
|-
|-
|
|
Line 1,588: Line 334:
| wa-176 comma
| wa-176 comma
| w-176
| w-176
|{{monzo| 279 -176 }}
| {{Monzo| 279 -176 }}
| 55.920
| 55.920
|
|
|
|
|
|-
|-
|
|
Line 1,600: Line 341:
| wa-229 comma
| wa-229 comma
| w-229
| w-229
|{{monzo| 363 -229 }}
| {{Monzo| 363 -229 }}
| 52.305
| 52.305
|
|wa-229b comma
|w-229b
|{{monzo| -362 229 }}
|1147.695
|-
|-
|
|
Line 1,612: Line 348:
| wa-77 comma
| wa-77 comma
| w-77
| w-77
|{{monzo| -122 77 }}
| {{Monzo| -122 77 }}
| 50.535
| 50.535
|-
|
|
|wa-77b comma
| 282-comma
|w-77b
| wa-282 comma
|{{monzo| 123 -77 }}
| w-282
|1149.465
| {{Monzo| 447 -282 }}
| 48.69
|-
|-
|
|
|[[29-comma]]
| [[29-comma]]
| wa-29 comma
| wa-29 comma
| w-29
| w-29
|{{monzo| 46 -29 }}
| {{Monzo| 46 -29 }}
| 43.305
| 43.305
|
|wa-29b comma
|w-29b
|{{monzo| -45 29 }}
|1156.695
|-
|-
|
|
Line 1,636: Line 369:
| wa-277 comma
| wa-277 comma
| w-277
| w-277
|{{monzo| -439 277 }}
| {{Monzo| -439 277 }}
| 41.535
| 41.535
|
|wa-277b comma
|w-277b
|{{monzo| 440 -277 }}
|1158.465
|-
|-
|
|
Line 1,648: Line 376:
| wa-224 comma
| wa-224 comma
| w-224
| w-224
|{{monzo| -355 224 }}
| {{Monzo| -355 224 }}
| 37.920
| 37.920
|
|
|
|
|
|-
|-
|
|
Line 1,660: Line 383:
| wa-135 comma
| wa-135 comma
| w-135
| w-135
|{{monzo| 214 -135 }}
| {{Monzo| 214 -135 }}
| 36.075
| 36.075
|
|
|
|
|
|-
|-
|
|
Line 1,672: Line 390:
| wa-171 comma
| wa-171 comma
| w-171
| w-171
|{{monzo| -271 171 }}
| {{Monzo| -271 171 }}
| 34.305
| 34.305
|
|
|
|
|
|-
|-
|
|
Line 1,684: Line 397:
| wa-118 comma
| wa-118 comma
| w-118
| w-118
|{{monzo| -187 118 }}
| {{Monzo| -187 118 }}
| 30.690
| 30.690
|
|
|
|
|
|-
|-
|
|
Line 1,696: Line 404:
| wa-241 comma
| wa-241 comma
| w-241
| w-241
|{{monzo| 382 -241 }}
| {{Monzo| 382 -241 }}
| 28.845
| 28.845
|
|wa-241b comma
|w-241b
|{{monzo| -381 241 }}
|1171.155
|-
|-
| Pythagorean septimal comma
| Pythagorean septimal comma
Line 1,708: Line 411:
| wa-65 comma
| wa-65 comma
| w-65
| w-65
|{{monzo| -103 65 }}
| {{Monzo| -103 65 }}
| 27.075
| 27.075
|
|wa-65b comma
|w-65b
|{{monzo| 102 -65}}
|1172.925
|-
|-
| [[Pythagorean comma]]
| [[Pythagorean comma]]
| 12-comma
| 12-comma
| lalawa comma <br>or wa comma
| lalawa comma  
| LLw-2
| LLw-2
|{{monzo| -19 12 }}
| {{Monzo| -19 12 }}
| 23.460
| 23.460
|
|
|
|
|
|-
|-
|[[Counterpyth family|Counterpyth comma]]
| Pythagorean countercomma, countercomp comma
|[[41-comma]]
| [[41-comma]]
| wa-41 comma
| wa-41 comma
| w-41
| w-41
|{{monzo| 65 -41 }}
| {{monzo| 65 -41 }}
| 19.845
| 19.845
|
|wa-41b comma
|w-41b
|{{monzo| -64 41 }}
|1180.155
|-
|-
|[[Stearnsmic clan #Garistearn|Garistearn comma]]
| [[Stearnsmic clan #Garistearn|Garistearn comma]]
| 94-comma
| 94-comma
| wa-94 comma
| wa-94 comma
| w-94
| w-94
|{{monzo| 149 -94 }}
| {{Monzo| 149 -94 }}
| 16.230
| 16.230
|
|
|
|
|
|-
|-
|
|
Line 1,756: Line 439:
| wa-147 comma
| wa-147 comma
| w-147
| w-147
|{{monzo| 233 -147 }}
| {{Monzo| 233 -147 }}
| 12.615
| 12.615
|
|wa-147b comma
|w-147b
|{{monzo| -232 147 }}
|1187.385
|-
|-
| Pythagorean integer-cent ET comma
| Pythagorean integer-cent ET comma
Line 1,768: Line 446:
| wa-200 comma
| wa-200 comma
| w-200
| w-200
|{{monzo| 317 -200 }}
| {{Monzo| 317 -200 }}
| 8.9998
| 8.9998
|
|
|
|
|
|-
|-
|
|
Line 1,780: Line 453:
| wa-253 comma
| wa-253 comma
| w-253
| w-253
|{{monzo| 401 -253 }}
| {{Monzo| 401 -253 }}
| 5.3848
| 5.3848
|
|wa-253b comma
|w-253b
|{{monzo| -400 253 }}
|1194.6152
|-
|-
|[[Mercator's comma]]
| [[Mercator's comma]]
| 53-comma
| 53-comma
| wa-53 comma
| wa-53 comma
| w-53
| w-53
|{{monzo| -84 53 }}
| {{Monzo| -84 53 }}
| 3.6150
| 3.6150
|
|wa-53b comma
|w-53b
|{{monzo| 85 -53 }}
|1196.385
|-
|-
|
|[[Qian's large comma]]
| 359-comma
| 359-comma
| wa-359 comma
| wa-359 comma
| w-359
| w-359
|{{monzo| -569 359 }}
| {{Monzo| -569 359 }}
| 1.8453
| 1.8453
|
|wa-359b comma
|w-359b
|{{monzo| 570 -359 }}
|1198.8547
|-
|-
|[[Sasktel comma]]
| [[Qian's small comma]]
| 306-comma
| 306-comma
| wa-306 comma
| wa-306 comma
| w-306
| w-306
|{{monzo| 485 -306 }}
| {{Monzo| 485 -306 }}
| 1.7697
| 1.7697
|
|
|
|
|
|-
|-
|[[Satanic comma]]
| [[Satanic comma]]
| 665-comma
| 665-comma
| wa-665 comma
| wa-665 comma
| w-665
| w-665
|{{monzo| -1054 665 }}
| {{Monzo| -1054 665 }}
| 0.075575
| 0.075575
|
|
|
|
|
|-
|-
|
|
Line 1,840: Line 488:
| wa-15601 comma
| wa-15601 comma
| w-15601
| w-15601
|{{monzo| 24727 -15601 }}
| {{Monzo| 24727 -15601 }}
| 0.031499
| 0.031499
|
|wa-15601b comma
|w-15601b
|{{monzo| -24726 15601 }}
|1199.968501
|-
|-
|
|
Line 1,852: Line 495:
| wa-31867 comma
| wa-31867 comma
| w-31867
| w-31867
|{{monzo| -50508 31867 }}
| {{Monzo| -50508 31867 }}
| 0.012577
| 0.012577
|
|-
|wa-31867b comma
| [[Archangelic comma]]
|w-31867b
| 190537-comma
|{{monzo| 50509 -31867 }}
| wa-190537 comma
|1199.987423
| w-190537
| {{Monzo| 301994 -190537 }}
| 0.000112
|}
|}


[[Category:3-limit]]
[[Category:3-limit]]
[[Category:Comma]]
[[Category:Lists of commas]]
 
{{Todo| unify precision }}
Retrieved from "https://en.xen.wiki/w/Table_of_3-limit_commas"