181edo: Difference between revisions
→Intervals: partially complete table |
→Intervals: delete everything beyond 23-limit |
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{| class="wikitable center-1 right-2 mw-collapsible mw-collapsed" | {| class="wikitable center-1 right-2 mw-collapsible mw-collapsed" | ||
|- | |- | ||
! | ! Steps | ||
! | ! Cents | ||
! | ! Approximate ratios* | ||
|- | |- | ||
| 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]] | ||
|- | |- | ||
| 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]]'' | ||
|- | |- | ||
| 7 | | 7 | ||
| 46.41 | | 46.41 | ||
| ''[[35/34]]'' | | ''[[35/34]]'' | ||
|- | |- | ||
| 8 | | 8 | ||
| 53.04 | | 53.04 | ||
| [[33/32]], [[34/33]], ''[[36/35]]'' | | [[33/32]], [[34/33]], ''[[36/35]]'' | ||
|- | |- | ||
| 9 | | 9 | ||
| 59.67 | | 59.67 | ||
| | | | ||
|- | |- | ||
| 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]] | ||
|- | |- | ||
| 13 | | 13 | ||
| 86.19 | | 86.19 | ||
| [[20/19]], [[21/20]] | | [[20/19]], [[21/20]] | ||
|- | |- | ||
| 14 | | 14 | ||
| 92.82 | | 92.82 | ||
| [[19/18]] | | [[19/18]] | ||
|- | |- | ||
| 15 | | 15 | ||
| 99.45 | | 99.45 | ||
| [[18/17]] | | [[18/17]] | ||
|- | |- | ||
| 16 | | 16 | ||
| 106.08 | | 106.08 | ||
| [[17/16]] | | [[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]] | ||
|- | |- | ||
| 20 | | 20 | ||
| 132.6 | | 132.6 | ||
| | | | ||
|- | |- | ||
| 21 | | 21 | ||
| 139.23 | | 139.23 | ||
| [[13/12]] | | [[13/12]], ''[[25/23]]'', ''[[27/25]]'' | ||
|- | |- | ||
| 22 | | 22 | ||
| 145.86 | | 145.86 | ||
| | | | ||
|- | |- | ||
| 23 | | 23 | ||
| 152.49 | | 152.49 | ||
| [[12/11]] | | [[12/11]] | ||
|- | |- | ||
| 24 | | 24 | ||
| 159.12 | | 159.12 | ||
| [[23/21]] | | [[23/21]] | ||
|- | |- | ||
| 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]] | ||
|- | |- | ||
| 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]] | ||
|- | |- | ||
| 34 | | 34 | ||
| 225.41 | | 225.41 | ||
| | | | ||
|- | |- | ||
| 35 | | 35 | ||
| 232.04 | | 232.04 | ||
| [[8/7]] | | [[8/7]] | ||
|- | |- | ||
| 36 | | 36 | ||
| 238.67 | | 238.67 | ||
| [[39/34]] | | [[39/34]] | ||
|- | |- | ||
| 37 | | 37 | ||
| 245.3 | | 245.3 | ||
| [[15/13]], ''[[23/20]] | | [[15/13]], ''[[23/20]]'', [[38/33]] | ||
|- | |- | ||
| 38 | | 38 | ||
| 251.93 | | 251.93 | ||
| | | | ||
|- | |- | ||
| 39 | | 39 | ||
| 258.56 | | 258.56 | ||
| [[65/56]] | | [[65/56]] | ||
|- | |- | ||
| 40 | | 40 | ||
| 265.19 | | 265.19 | ||
| | | | ||
|- | |- | ||
| Line 237: | Line 193: | ||
| 271.82 | | 271.82 | ||
| | | | ||
|- | |- | ||
| 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]] | ||
|- | |- | ||
| 45 | | 45 | ||
| 298.34 | | 298.34 | ||
| [[19/16]] | | [[19/16]] | ||
|- | |- | ||
| 46 | | 46 | ||
| 304.97 | | 304.97 | ||
| | | | ||
|- | |- | ||
| 47 | | 47 | ||
| 311.6 | | 311.6 | ||
| | | | ||
|- | |- | ||
| Line 272: | Line 221: | ||
| 318.23 | | 318.23 | ||
| [[6/5]] | | [[6/5]] | ||
|- | |- | ||
| 49 | | 49 | ||
| 324.86 | | 324.86 | ||
| | |||
| | |||
|- | |- | ||
| 50 | | 50 | ||
| 331.49 | | 331.49 | ||
| [[23/19]], [[63/52]] | | [[23/19]], [[63/52]] | ||
|- | |- | ||
| 51 | | 51 | ||
| 338.12 | | 338.12 | ||
| | | [[62/51]] | ||
|- | |- | ||
| 52 | | 52 | ||
| 344.75 | | 344.75 | ||
| | | | ||
|- | |- | ||
| 53 | | 53 | ||
| 351.38 | | 351.38 | ||
| | | [[49/40]], [[60/49]] | ||
|- | |- | ||
| 54 | | 54 | ||
| 358.01 | | 358.01 | ||
| | | | ||
|- | |- | ||
| 55 | | 55 | ||
| 364.64 | | 364.64 | ||
| [[21/17]] | | [[21/17]] | ||
|- | |- | ||
| 56 | | 56 | ||
| 371.27 | | 371.27 | ||
| [[57/46]] | | [[57/46]] | ||
|- | |- | ||
| 57 | | 57 | ||
| 377.9 | | 377.9 | ||
| [[56/45]] | | [[56/45]] | ||
|- | |- | ||
| 58 | | 58 | ||
| 384.53 | | 384.53 | ||
| [[5/4]] | | [[5/4]] | ||
|- | |- | ||
| 59 | | 59 | ||
| 391.16 | | 391.16 | ||
| | | | ||
|- | |- | ||
| Line 332: | Line 269: | ||
| 397.79 | | 397.79 | ||
| | | | ||
|- | |- | ||
| 61 | | 61 | ||
| 404.42 | | 404.42 | ||
| [[24/19]] | | [[24/19]] | ||
|- | |- | ||
| 62 | | 62 | ||
| 411.05 | | 411.05 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 68 | | 68 | ||
| 450.83 | | 450.83 | ||
| | |||
| | |||
|- | |- | ||
| 69 | | 69 | ||
| 457.46 | | 457.46 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 73 | | 73 | ||
| 483.98 | | 483.98 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | | [[51/38]] | ||
|- | |- | ||
| 78 | | 78 | ||
| 517.13 | | 517.13 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 85 | | 85 | ||
| 563.54 | | 563.54 | ||
| [[18/13]] | | [[18/13]] | ||
|- | |- | ||
| 86 | | 86 | ||
| 570.17 | | 570.17 | ||
| | |||
| | |||
|- | |- | ||
| 87 | | 87 | ||
| 576.8 | | 576.8 | ||
| | |||
| | |||
|- | |- | ||
| 88 | | 88 | ||
| 583.43 | | 583.43 | ||
| [[7/5]] | | [[7/5]] | ||
|- | |- | ||
| 89 | | 89 | ||
| 590.06 | | 590.06 | ||
| [[45/32]] | | [[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 | ||
| | | [[64/45]] | ||
|- | |- | ||
| 93 | | 93 | ||
| 616.57 | | 616.57 | ||
| [[10/7]] | | [[10/7]] | ||
|- | |- | ||
| 94 | | 94 | ||
| 623.2 | | 623.2 | ||
| | |||
| | |||
|- | |- | ||
| 95 | | 95 | ||
| 629.83 | | 629.83 | ||
| | | | ||
|- | |- | ||
| Line 512: | Line 413: | ||
| 636.46 | | 636.46 | ||
| [[13/9]] | | [[13/9]] | ||
|- | |- | ||
| 97 | | 97 | ||
| 643.09 | | 643.09 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 104 | | 104 | ||
| 689.5 | | 689.5 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 109 | | 109 | ||
| 722.65 | | 722.65 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 113 | | 113 | ||
| 749.17 | | 749.17 | ||
| | |||
| | |||
|- | |- | ||
| 114 | | 114 | ||
| 755.8 | | 755.8 | ||
| | | [[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 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | | [[45/28]] | ||
|- | |- | ||
| 125 | | 125 | ||
| 828.73 | | 828.73 | ||
| | | | ||
|- | |- | ||
| 126 | | 126 | ||
| 835.36 | | 835.36 | ||
| [[34/21]] | | [[34/21]] | ||
|- | |- | ||
| 127 | | 127 | ||
| 841.99 | | 841.99 | ||
| | | | ||
|- | |- | ||
| 128 | | 128 | ||
| 848.62 | | 848.62 | ||
| | | [[49/30]] | ||
|- | |- | ||
| 129 | | 129 | ||
| 855.25 | | 855.25 | ||
| | | | ||
|- | |- | ||
| 130 | | 130 | ||
| 861.88 | | 861.88 | ||
| | |||
| | |||
|- | |- | ||
| 131 | | 131 | ||
| 868.51 | | 868.51 | ||
| [[38/23]] | | [[38/23]] | ||
|- | |- | ||
| 132 | | 132 | ||
| 875.14 | | 875.14 | ||
| | | [[63/38]] | ||
|- | |- | ||
| 133 | | 133 | ||
| 881.77 | | 881.77 | ||
| | | | ||
|- | |- | ||
| 134 | | 134 | ||
| 888.4 | | 888.4 | ||
| | | | ||
|- | |- | ||
| 135 | | 135 | ||
| 895.03 | | 895.03 | ||
| | | [[57/34]] | ||
|- | |- | ||
| 136 | | 136 | ||
| 901.66 | | 901.66 | ||
| [[32/19]] | | [[32/19]] | ||
|- | |- | ||
| 137 | | 137 | ||
| 908.29 | | 908.29 | ||
| | |||
| | |||
|- | |- | ||
| 138 | | 138 | ||
| 914.92 | | 914.92 | ||
| [[39/23]], [[56/33]] | | [[39/23]], [[56/33]] | ||
|- | |- | ||
| 139 | | 139 | ||
| 921.55 | | 921.55 | ||
| [[46/27]] | | [[46/27]] | ||
|- | |- | ||
| 140 | | 140 | ||
| 928.18 | | 928.18 | ||
| | | [[65/38]] | ||
|- | |- | ||
| 141 | | 141 | ||
| 934.81 | | 934.81 | ||
| | | | ||
|- | |- | ||
| 142 | | 142 | ||
| 941.44 | | 941.44 | ||
| | |||
| | |||
|- | |- | ||
| 143 | | 143 | ||
| 948.07 | | 948.07 | ||
| | |||
| | |||
|- | |- | ||
| 144 | | 144 | ||
| 954.7 | | 954.7 | ||
| [[33/19]] | | [[33/19]] | ||
|- | |- | ||
| 145 | | 145 | ||
| 961.33 | | 961.33 | ||
| | |||
| | |||
|- | |- | ||
| 146 | | 146 | ||
| 967.96 | | 967.96 | ||
| [[7/4]] | | [[7/4]] | ||
|- | |- | ||
| 147 | | 147 | ||
| 974.59 | | 974.59 | ||
| | |||
| | |||
|- | |- | ||
| 148 | | 148 | ||
| 981.22 | | 981.22 | ||
| | |||
| | |||
|- | |- | ||
| 149 | | 149 | ||
| 987.85 | | 987.85 | ||
| [[23/13]] | | [[23/13]] | ||
|- | |- | ||
| 150 | | 150 | ||
| 994.48 | | 994.48 | ||
| | | | ||
|- | |- | ||
| 151 | | 151 | ||
| 1001.1 | | 1001.1 | ||
| | |||
| | |||
|- | |- | ||
| 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 | ||
| | |||
| | |||
|- | |- | ||
| 158 | | 158 | ||
| 1047.51 | | 1047.51 | ||
| | | | ||
|- | |- | ||
| 159 | | 159 | ||
| 1054.14 | | 1054.14 | ||
| | |||
| | |||
|- | |- | ||
| 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]] | | [[32/17]] | ||
|- | |- | ||
| 166 | | 166 | ||
| 1100.55 | | 1100.55 | ||
| [[17/9]] | | [[17/9]] | ||
|- | |- | ||
| 167 | | 167 | ||
| 1107.18 | | 1107.18 | ||
| [[36/19]] | | [[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 | ||
| | |||
| | |||
|- | |- | ||
| 173 | | 173 | ||
| 1146.96 | | 1146.96 | ||
| [[64/33]] | | [[64/33]] | ||
|- | |- | ||
| 174 | | 174 | ||
| 1153.59 | | 1153.59 | ||
| | |||
| | |||
|- | |- | ||
| 175 | | 175 | ||
| 1160.22 | | 1160.22 | ||
| | |||
| | |||
|- | |- | ||
| 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]] | ||
| | |} | ||
<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 | ! 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 }} | ||
| {{ | | {{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 }} | ||
| +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 }} | ||
| +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 }} | ||
| +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 }} | ||
| +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 }} | ||
| +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 }} | ||
| +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 | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 1,027: | Line 843: | ||
| 39\181 | | 39\181 | ||
| 258.56 | | 258.56 | ||
| {{ | | {{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]] ( | | [[Cotritone]] (11-limit) | ||
|} | |} | ||
<nowiki />* [[Normal | <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 == | ||