181edo: Difference between revisions

Overthink (talk | contribs)
Intervals: partially complete table
Overthink (talk | contribs)
Intervals: delete everything beyond 23-limit
 
(3 intermediate revisions by 2 users not shown)
Line 22: Line 22:
{| class="wikitable center-1 right-2 mw-collapsible mw-collapsed"
{| class="wikitable center-1 right-2 mw-collapsible mw-collapsed"
|-
|-
! rowspan="2" | Steps
! Steps
! rowspan="2" | Cents
! Cents
! colspan="2" | Approximate ratios
! Approximate ratios*
|-
!23-limit
!43-limit extension
|-
|-
| 0
| 0
| 0
| 0
| [[1/1]]
| [[1/1]]
|
|-
|-
| 1
| 1
| 6.63
| 6.63
|
|
|
|-
|-
| 2
| 2
| 13.26
| 13.26
|
|
|
|-
|-
| 3
| 3
| 19.89
| 19.89
|
|
|
|-
|-
Line 52: Line 45:
| 26.52
| 26.52
| [[64/63]], [[65/64]], [[66/65]]
| [[64/63]], [[65/64]], [[66/65]]
|[[63/62]]
|-
|-
| 5
| 5
| 33.15
| 33.15
| [[49/48]], [[50/49]], [[52/51]]
| [[49/48]], [[50/49]], [[52/51]]
|
|-
|-
| 6
| 6
| 39.78
| 39.78
| [[45/44]], ''[[51/50]]''
| [[45/44]], ''[[51/50]]''
|[[43/42]], [[44/43]]
|-
|-
| 7
| 7
| 46.41
| 46.41
| ''[[35/34]]''
| ''[[35/34]]''
|[[37/36]], [[38/37]]
|-
|-
| 8
| 8
| 53.04
| 53.04
| [[33/32]], [[34/33]], ''[[36/35]]''
| [[33/32]], [[34/33]], ''[[36/35]]''
|[[32/31]]
|-
|-
| 9
| 9
| 59.67
| 59.67
|
|
|[[29/28]], [[30/29]], [[31/30]]
|-
|-
| 10
| 10
| 66.3
| 66.3
| ''[[25/24]],'' [[27/26]]
| ''[[25/24]],'' [[27/26]]
|
|-
|-
| 11
| 11
| 72.93
| 72.93
| [[24/23]], ''[[26/25]]''
| [[24/23]], ''[[26/25]]''
|
|-
|-
| 12
| 12
| 79.56
| 79.56
| [[22/21]], [[23/22]]
| [[22/21]], [[23/22]]
|[[45/43]]
|-
|-
| 13
| 13
| 86.19
| 86.19
| [[20/19]], [[21/20]]
| [[20/19]], [[21/20]]
|
|-
|-
| 14
| 14
| 92.82
| 92.82
| [[19/18]], [[58/55]]
| [[19/18]]
|
|-
|-
| 15
| 15
| 99.45
| 99.45
| [[18/17]]
| [[18/17]]
|
|-
|-
| 16
| 16
| 106.08
| 106.08
| [[17/16]], [[50/47]]
| [[17/16]]
|
|-
|-
| 17
| 17
| 112.71
| 112.71
| [[16/15]]
| [[16/15]]
|
|-
|-
| 18
| 18
| 119.34
| 119.34
| [[15/14]]
| [[15/14]]
|
|-
|-
| 19
| 19
| 125.97
| 125.97
| [[14/13]]
| [[14/13]]
|[[43/40]]
|-
|-
| 20
| 20
| 132.6
| 132.6
|
|
|[[41/38]]
|-
|-
| 21
| 21
| 139.23
| 139.23
| [[13/12]]
| [[13/12]], ''[[25/23]]'', ''[[27/25]]''
|
|-
|-
| 22
| 22
| 145.86
| 145.86
|
|
|[[37/34]], [[62/57]]
|-
|-
| 23
| 23
| 152.49
| 152.49
| [[12/11]]
| [[12/11]]
|
|-
|-
| 24
| 24
| 159.12
| 159.12
| [[23/21]]
| [[23/21]]
|[[34/31]]
|-
|-
| 25
| 25
| 165.75
| 165.75
| [[11/10]]
| [[11/10]]
|
|-
|-
| 26
| 26
| 172.38
| 172.38
| [[21/19]]
| [[21/19]]
|
|-
|-
| 27
| 27
| 179.01
| 179.01
| ''[[10/9]],'' [[51/46]]
| ''[[10/9]],'' [[51/46]]
|
|-
|-
| 28
| 28
| 185.64
| 185.64
| [[49/44]]
| [[49/44]]
|
|-
|-
| 29
| 29
| 192.27
| 192.27
| [[19/17]]
| [[19/17]]
|
|-
|-
| 30
| 30
| 198.9
| 198.9
| [[55/49]]
| [[55/49]]
|[[37/33]], [[46/41]]
|-
|-
| 31
| 31
| 205.52
| 205.52
| [[9/8]]
| [[9/8]]
|
|-
|-
| 32
| 32
| 212.15
| 212.15
| [[26/23]]
| [[26/23]]
|
|-
|-
| 33
| 33
| 218.78
| 218.78
| [[17/15]]
| [[17/15]]
|[[42/37]]
|-
|-
| 34
| 34
| 225.41
| 225.41
|
|
|[[41/36]], [[49/43]]
|-
|-
| 35
| 35
| 232.04
| 232.04
| [[8/7]]
| [[8/7]]
|
|-
|-
| 36
| 36
| 238.67
| 238.67
| [[39/34]]
| [[39/34]]
|[[31/27]]
|-
|-
| 37
| 37
| 245.3
| 245.3
| [[15/13]], ''[[23/20]],'' [[38/33]]
| [[15/13]], ''[[23/20]]'', [[38/33]]
|
|-
|-
| 38
| 38
| 251.93
| 251.93
|
|
|[[37/32]]
|-
|-
| 39
| 39
| 258.56
| 258.56
| [[65/56]]
| [[65/56]]
|[[36/31]]
|-
|-
| 40
| 40
| 265.19
| 265.19
|
|
|
|-
|-
Line 237: Line 193:
| 271.82
| 271.82
|
|
|[[48/41]]
|-
|-
| 42
| 42
| 278.45
| 278.45
| [[27/23]]
| [[27/23]]
|
|-
|-
| 43
| 43
| 285.08
| 285.08
| [[33/28]], [[46/39]]
| [[33/28]], [[46/39]]
|
|-
|-
| 44
| 44
| 291.71
| 291.71
| [[45/38]]
| [[45/38]]
|[[58/49]]
|-
|-
| 45
| 45
| 298.34
| 298.34
| [[19/16]]
| [[19/16]]
|
|-
|-
| 46
| 46
| 304.97
| 304.97
|
|
|[[31/26]]
|-
|-
| 47
| 47
| 311.6
| 311.6
|
|
|
|-
|-
Line 272: Line 221:
| 318.23
| 318.23
| [[6/5]]
| [[6/5]]
|
|-
|-
| 49
| 49
| 324.86
| 324.86
| [[35/29]], [[41/34]]
|  
|
|-
|-
| 50
| 50
| 331.49
| 331.49
| [[23/19]], [[63/52]]
| [[23/19]], [[63/52]]
|
|-
|-
| 51
| 51
| 338.12
| 338.12
| [[45/37]], [[62/51]]
| [[62/51]]
|
|-
|-
| 52
| 52
| 344.75
| 344.75
|
|
|
|-
|-
| 53
| 53
| 351.38
| 351.38
| [[38/31]], [[49/40]], [[60/49]]
| [[49/40]], [[60/49]]
|
|-
|-
| 54
| 54
| 358.01
| 358.01
|
|
|
|-
|-
| 55
| 55
| 364.64
| 364.64
| [[21/17]], [[58/47]]
| [[21/17]]
|
|-
|-
| 56
| 56
| 371.27
| 371.27
| [[57/46]]
| [[57/46]]
|
|-
|-
| 57
| 57
| 377.9
| 377.9
| [[56/45]]
| [[56/45]]
|[[46/37]], [[51/41]]
|-
|-
| 58
| 58
| 384.53
| 384.53
| [[5/4]]
| [[5/4]]
|
|-
|-
| 59
| 59
| 391.16
| 391.16
|
|
|
|-
|-
Line 332: Line 269:
| 397.79
| 397.79
|
|
|[[39/31]]
|-
|-
| 61
| 61
| 404.42
| 404.42
| [[24/19]]
| [[24/19]]
|
|-
|-
| 62
| 62
| 411.05
| 411.05
| [[52/41]]
|  
|
|-
|-
| 63
| 63
| 417.68
| 417.68
| [[14/11]]
| [[14/11]]
|
|-
|-
| 64
| 64
| 424.31
| 424.31
| [[23/18]]
| [[23/18]]
|
|-
|-
| 65
| 65
| 430.94
| 430.94
|
|
|
|-
|-
| 66
| 66
| 437.57
| 437.57
|
|
|
|-
|-
| 67
| 67
| 444.2
| 444.2
| [[31/24]]
|  
|
|-
|-
| 68
| 68
| 450.83
| 450.83
| [[48/37]]
|  
|
|-
|-
| 69
| 69
| 457.46
| 457.46
| [[43/33]], [[56/43]]
|  
|
|-
|-
| 70
| 70
| 464.09
| 464.09
| [[17/13]]
| [[17/13]]
|
|-
|-
| 71
| 71
| 470.72
| 470.72
| [[21/16]]
| [[21/16]]
|
|-
|-
| 72
| 72
| 477.35
| 477.35
| [[29/22]], [[54/41]]
|  
|
|-
|-
| 73
| 73
| 483.98
| 483.98
| [[41/31]]
|  
|
|-
|-
| 74
| 74
| 490.61
| 490.61
|
|
|
|-
|-
Line 407: Line 329:
| 497.24
| 497.24
| [[4/3]]
| [[4/3]]
|
|-
|-
| 76
| 76
| 503.87
| 503.87
|
|
|
|-
|-
| 77
| 77
| 510.5
| 510.5
| [[43/32]], [[47/35]], [[51/38]]
| [[51/38]]
|
|-
|-
| 78
| 78
| 517.13
| 517.13
| [[31/23]], [[58/43]]
|  
|
|-
|-
| 79
| 79
| 523.76
| 523.76
| [[23/17]], [[65/48]]
| [[23/17]], [[65/48]]
|
|-
|-
| 80
| 80
| 530.39
| 530.39
|
|
|
|-
|-
Line 437: Line 353:
| 537.02
| 537.02
| [[15/11]]
| [[15/11]]
|
|-
|-
| 82
| 82
| 543.65
| 543.65
| [[26/19]], [[63/46]]
| [[26/19]], [[63/46]]
|
|-
|-
| 83
| 83
| 550.28
| 550.28
| [[11/8]]
| [[11/8]]
|
|-
|-
| 84
| 84
| 556.91
| 556.91
| [[40/29]]
|  
|
|-
|-
| 85
| 85
| 563.54
| 563.54
| [[18/13]]
| [[18/13]]
|
|-
|-
| 86
| 86
| 570.17
| 570.17
| [[57/41]]
|  
|
|-
|-
| 87
| 87
| 576.8
| 576.8
| [[60/43]]
|  
|
|-
|-
| 88
| 88
| 583.43
| 583.43
| [[7/5]]
| [[7/5]]
|
|-
|-
| 89
| 89
| 590.06
| 590.06
| [[45/32]], [[52/37]]
| [[45/32]]
|
|-
|-
| 90
| 90
| 596.69
| 596.69
| [[24/17]]
| [[24/17]]
|
|-
|-
| 91
| 91
| 603.31
| 603.31
| [[17/12]]
| [[17/12]]
|
|-
|-
| 92
| 92
| 609.94
| 609.94
| [[37/26]], [[64/45]]
| [[64/45]]
|
|-
|-
| 93
| 93
| 616.57
| 616.57
| [[10/7]]
| [[10/7]]
|
|-
|-
| 94
| 94
| 623.2
| 623.2
| [[43/30]]
|  
|
|-
|-
| 95
| 95
| 629.83
| 629.83
|
|
|
|-
|-
Line 512: Line 413:
| 636.46
| 636.46
| [[13/9]]
| [[13/9]]
|
|-
|-
| 97
| 97
| 643.09
| 643.09
| [[29/20]]
|  
|
|-
|-
| 98
| 98
| 649.72
| 649.72
| [[16/11]]
| [[16/11]]
|
|-
|-
| 99
| 99
| 656.35
| 656.35
| [[19/13]]
| [[19/13]]
|
|-
|-
| 100
| 100
| 662.98
| 662.98
| [[22/15]]
| [[22/15]]
|
|-
|-
| 101
| 101
| 669.61
| 669.61
|
|
|
|-
|-
Line 542: Line 437:
| 676.24
| 676.24
| [[34/23]], [[65/44]]
| [[34/23]], [[65/44]]
|
|-
|-
| 103
| 103
| 682.87
| 682.87
| [[43/29]], [[46/31]]
|  
|
|-
|-
| 104
| 104
| 689.5
| 689.5
| [[64/43]]
|  
|
|-
|-
| 105
| 105
| 696.13
| 696.13
|
|
|
|-
|-
Line 562: Line 453:
| 702.76
| 702.76
| [[3/2]]
| [[3/2]]
|
|-
|-
| 107
| 107
| 709.39
| 709.39
|
|
|
|-
|-
| 108
| 108
| 716.02
| 716.02
| [[62/41]], [[65/43]]
|  
|
|-
|-
| 109
| 109
| 722.65
| 722.65
| [[41/27]], [[44/29]]
|  
|
|-
|-
| 110
| 110
| 729.28
| 729.28
| [[32/21]]
| [[32/21]]
|
|-
|-
| 111
| 111
| 735.91
| 735.91
| [[26/17]]
| [[26/17]]
|
|-
|-
| 112
| 112
| 742.54
| 742.54
| [[43/28]], [[63/41]]
|  
|
|-
|-
| 113
| 113
| 749.17
| 749.17
| [[37/24]], [[57/37]]
|  
|
|-
|-
| 114
| 114
| 755.8
| 755.8
| [[48/31]], [[65/42]]
| [[65/42]]
|
|-
|-
| 115
| 115
| 762.43
| 762.43
|
|
|
|-
|-
| 116
| 116
| 769.06
| 769.06
|
|
|
|-
|-
Line 617: Line 497:
| 775.69
| 775.69
| [[36/23]]
| [[36/23]]
|
|-
|-
| 118
| 118
| 782.32
| 782.32
| [[11/7]]
| [[11/7]]
|
|-
|-
| 119
| 119
| 788.95
| 788.95
| [[41/26]]
|  
|
|-
|-
| 120
| 120
| 795.58
| 795.58
| [[19/12]]
| [[19/12]]
|
|-
|-
| 121
| 121
| 802.21
| 802.21
| [[62/39]]
| [[62/39]]
|
|-
|-
| 122
| 122
| 808.84
| 808.84
|
|
|
|-
|-
| 123
| 123
| 815.47
| 815.47
|
|
|
|-
|-
| 124
| 124
| 822.1
| 822.1
| [[37/23]], [[45/28]]
| [[45/28]]
|
|-
|-
| 125
| 125
| 828.73
| 828.73
|
|
|
|-
|-
| 126
| 126
| 835.36
| 835.36
| [[34/21]], [[47/29]]
| [[34/21]]
|
|-
|-
| 127
| 127
| 841.99
| 841.99
|
|
|
|-
|-
| 128
| 128
| 848.62
| 848.62
| [[31/19]], [[49/30]]
| [[49/30]]
|
|-
|-
| 129
| 129
| 855.25
| 855.25
|
|
|
|-
|-
| 130
| 130
| 861.88
| 861.88
| [[51/31]]
|  
|
|-
|-
| 131
| 131
| 868.51
| 868.51
| [[38/23]]
| [[38/23]]
|
|-
|-
| 132
| 132
| 875.14
| 875.14
| [[58/35]], [[63/38]]
| [[63/38]]
|
|-
|-
| 133
| 133
| 881.77
| 881.77
|
|
|
|-
|-
| 134
| 134
| 888.4
| 888.4
|
|
|
|-
|-
| 135
| 135
| 895.03
| 895.03
| [[52/31]], [[57/34]]
| [[57/34]]
|
|-
|-
| 136
| 136
| 901.66
| 901.66
| [[32/19]]
| [[32/19]]
|
|-
|-
| 137
| 137
| 908.29
| 908.29
| [[49/29]]
|  
|
|-
|-
| 138
| 138
| 914.92
| 914.92
| [[39/23]], [[56/33]]
| [[39/23]], [[56/33]]
|
|-
|-
| 139
| 139
| 921.55
| 921.55
| [[46/27]], [[63/37]]
| [[46/27]]
|
|-
|-
| 140
| 140
| 928.18
| 928.18
| [[41/24]], [[65/38]]
| [[65/38]]
|
|-
|-
| 141
| 141
| 934.81
| 934.81
|
|
|
|-
|-
| 142
| 142
| 941.44
| 941.44
| [[31/18]]
|  
|
|-
|-
| 143
| 143
| 948.07
| 948.07
| [[64/37]]
|  
|
|-
|-
| 144
| 144
| 954.7
| 954.7
| [[33/19]]
| [[33/19]]
|
|-
|-
| 145
| 145
| 961.33
| 961.33
| [[54/31]]
|  
|
|-
|-
| 146
| 146
| 967.96
| 967.96
| [[7/4]]
| [[7/4]]
|
|-
|-
| 147
| 147
| 974.59
| 974.59
| [[65/37]]
|  
|
|-
|-
| 148
| 148
| 981.22
| 981.22
| [[37/21]]
|  
|
|-
|-
| 149
| 149
| 987.85
| 987.85
| [[23/13]]
| [[23/13]]
|
|-
|-
| 150
| 150
| 994.48
| 994.48
|
|
|
|-
|-
| 151
| 151
| 1001.1
| 1001.1
| [[41/23]]
|  
|
|-
|-
| 152
| 152
| 1007.73
| 1007.73
| [[34/19]]
| [[34/19]]
|
|-
|-
| 153
| 153
| 1014.36
| 1014.36
|
|
|
|-
|-
| 154
| 154
| 1020.99
| 1020.99
|
|
|
|-
|-
Line 807: Line 649:
| 1027.62
| 1027.62
| [[38/21]]
| [[38/21]]
|
|-
|-
| 156
| 156
| 1034.25
| 1034.25
| [[20/11]]
| [[20/11]]
|
|-
|-
| 157
| 157
| 1040.88
| 1040.88
| [[31/17]]
|  
|
|-
|-
| 158
| 158
| 1047.51
| 1047.51
|
|
|
|-
|-
| 159
| 159
| 1054.14
| 1054.14
| [[57/31]]
|  
|
|-
|-
| 160
| 160
| 1060.77
| 1060.77
| [[24/13]]
| [[24/13]]
|
|-
|-
| 161
| 161
| 1067.4
| 1067.4
| [[63/34]]
| [[63/34]]
|
|-
|-
| 162
| 162
| 1074.03
| 1074.03
|
|
|
|-
|-
Line 847: Line 681:
| 1080.66
| 1080.66
| [[28/15]]
| [[28/15]]
|
|-
|-
| 164
| 164
| 1087.29
| 1087.29
| [[15/8]]
| [[15/8]]
|
|-
|-
| 165
| 165
| 1093.92
| 1093.92
| [[32/17]], [[47/25]]
| [[32/17]]
|
|-
|-
| 166
| 166
| 1100.55
| 1100.55
| [[17/9]]
| [[17/9]]
|
|-
|-
| 167
| 167
| 1107.18
| 1107.18
| [[36/19]], [[55/29]]
| [[36/19]]
|
|-
|-
| 168
| 168
| 1113.81
| 1113.81
|
| [[19/10]], [[40/21]]
|
|-
|-
| 169
| 169
| 1120.44
| 1120.44
| [[21/11]]
| [[21/11]]
|
|-
|-
| 170
| 170
| 1127.07
| 1127.07
| [[23/12]]
| [[23/12]]
|
|-
|-
| 171
| 171
| 1133.7
| 1133.7
| [[52/27]]
| [[52/27]]
|
|-
|-
| 172
| 172
| 1140.33
| 1140.33
| [[29/15]], [[56/29]]
|  
|
|-
|-
| 173
| 173
| 1146.96
| 1146.96
| [[64/33]]
| [[64/33]]
|
|-
|-
| 174
| 174
| 1153.59
| 1153.59
| [[37/19]]
|  
|
|-
|-
| 175
| 175
| 1160.22
| 1160.22
| [[43/22]]
|  
|
|-
|-
| 176
| 176
| 1166.85
| 1166.85
| [[51/26]]
| [[51/26]]
|
|-
|-
| 177
| 177
| 1173.48
| 1173.48
| [[63/32]], [[65/33]]
| [[63/32]], [[65/33]]
|
|-
|-
| 178
| 178
| 1180.11
| 1180.11
|
|
|
|-
|-
| 179
| 179
| 1186.74
| 1186.74
|
|
|
|-
|-
| 180
| 180
| 1193.37
| 1193.37
|
|
|
|-
|-
Line 937: Line 753:
| 1200
| 1200
| [[2/1]]
| [[2/1]]
|
|}
|}{{Todo|replace auto-generated table of intervals with manually curated table}}
<nowiki/>*As a 23-limit temperament


== Regular temperament properties ==
== Regular temperament properties ==
Line 946: Line 762:
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
Line 953: Line 769:
|-
|-
| 2.3
| 2.3
| {{monzo| 287 -181 }}
| {{Monzo| 287 -181 }}
| {{mapping| 181 287 }}
| {{Mapping| 181 287 }}
| −0.255
| −0.255
| 0.255
| 0.255
Line 961: Line 777:
| 2.3.5
| 2.3.5
| 2109375/2097152, {{monzo| 14 -22 9 }}
| 2109375/2097152, {{monzo| 14 -22 9 }}
| {{mapping| 181 287 420 }}
| {{Mapping| 181 287 420 }}
| +0.086
| +0.086
| 0.525
| 0.525
Line 968: Line 784:
| 2.3.5.7
| 2.3.5.7
| 2401/2400, 5120/5103, 390625/387072
| 2401/2400, 5120/5103, 390625/387072
| {{mapping| 181 287 420 508 }}
| {{Mapping| 181 287 420 508 }}
| +0.142
| +0.142
| 0.465
| 0.465
Line 975: Line 791:
| 2.3.5.7.11
| 2.3.5.7.11
| 385/384, 1375/1372, 2200/2187, 4000/3993
| 385/384, 1375/1372, 2200/2187, 4000/3993
| {{mapping| 181 287 420 508 626 }}
| {{Mapping| 181 287 420 508 626 }}
| +0.174
| +0.174
| 0.421
| 0.421
Line 982: Line 798:
| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 325/324, 352/351, 385/384, 1375/1372, 1575/1573
| 325/324, 352/351, 385/384, 1375/1372, 1575/1573
| {{mapping| 181 287 420 508 626 670 }}
| {{Mapping| 181 287 420 508 626 670 }}
| +0.079
| +0.079
| 0.439
| 0.439
Line 989: Line 805:
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 325/324, 352/351, 375/374, 385/384, 595/594, 1275/1274
| 325/324, 352/351, 375/374, 385/384, 595/594, 1275/1274
| {{mapping| 181 287 420 508 626 670 740 }}
| {{Mapping| 181 287 420 508 626 670 740 }}
| +0.028
| +0.028
| 0.425
| 0.425
Line 996: Line 812:
| 2.3.5.7.11.13.17.19
| 2.3.5.7.11.13.17.19
| 325/324, 352/351, 375/374, 385/384, 400/399, 595/594, 1275/1274
| 325/324, 352/351, 375/374, 385/384, 400/399, 595/594, 1275/1274
| {{mapping| 181 287 420 508 626 670 740 769 }}
| {{Mapping| 181 287 420 508 626 670 740 769 }}
| +0.000
| +0.000
| 0.404
| 0.404
Line 1,006: Line 822:
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
Line 1,027: Line 843:
| 39\181
| 39\181
| 258.56
| 258.56
| {{monzo| -32 13 5 }}
| {{Monzo| -32 13 5 }}
| [[Lafa]]
| [[Lafa]]
|-
|-
Line 1,041: Line 857:
| 49/40
| 49/40
| [[Hemififths]] (7-limit)
| [[Hemififths]] (7-limit)
|-
| 1
| 78\181
| 517.13
| 66/49
| [[Cutefourths]]
|-
|-
| 1
| 1
Line 1,046: Line 868:
| 583.43
| 583.43
| 7/5
| 7/5
| [[Cotritone]] (181f)
| [[Cotritone]] (11-limit)
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


== Music ==
== Music ==