Table of 171edo intervals: Difference between revisions

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autopatrolled, emailconfirmed
15,636 edits
m now have cent values of half the intervals
Filled the second half of the cents column
Line 605: Line 605:
|-
|-
| 86
| 86
|
|603.5088
| ?
| ?
| 486/343
| 486/343
Line 612: Line 612:
|-
|-
| 87
| 87
|
|610.5263
| 64/45
| 64/45
| 64/45
| 64/45
Line 619: Line 619:
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|-
| 88
| 88
|
|617.5439
| 3125/2187
| 3125/2187
| 10/7
| 10/7
Line 626: Line 626:
|-
|-
| 89
| 89
|
|624.5614
| ?
| ?
| 735/512
| 735/512
Line 633: Line 633:
|-
|-
| 90
| 90
|
|631.5789
| 36/25
| 36/25
| 36/25
| 36/25
Line 640: Line 640:
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|-
| 91
| 91
|
|638.5965
| 625/432
| 625/432
| 81/56
| 81/56
Line 647: Line 647:
|-
|-
| 92
| 92
|
|645.6140
| ?
| ?
| 196/135
| 196/135
Line 654: Line 654:
|-
|-
| 93
| 93
|
|652.6316
| 729/500
| 729/500
| 35/24
| 35/24
Line 661: Line 661:
|-
|-
| 94
| 94
|
|659.6491
| 375/256
| 375/256
| 256/175
| 256/175
Line 668: Line 668:
|-
|-
| 95
| 95
|
|666.6667
| ?
| ?
| 72/49
| 72/49
Line 675: Line 675:
|-
|-
| 96
| 96
|
|673.6842
| 4608/3125
| 4608/3125
| 189/128
| 189/128
Line 682: Line 682:
|-
|-
| 97
| 97
|
|680.7018
| 40/27
| 40/27
| 40/27
| 40/27
Line 689: Line 689:
|-
|-
| 98
| 98
|
|687.7193
| 78125/52488
| 78125/52488
| 125/84
| 125/84
Line 696: Line 696:
|-
|-
| 99
| 99
|
|694.7368
| 23328/15625
| 23328/15625
| 112/75
| 112/75
Line 710: Line 710:
|-
|-
| 101
| 101
|
|708.7719
| 15625/10368
| 15625/10368
| 675/448
| 675/448
Line 717: Line 717:
|-
|-
| 102
| 102
|
|715.7895
| ?
| ?
| 189/125
| 189/125
Line 724: Line 724:
|-
|-
| 103
| 103
|
|722.8070
| 243/160
| 243/160
| 243/160
| 243/160
Line 731: Line 731:
|-
|-
| 104
| 104
|
|729.8246
| 3125/2048
| 3125/2048
| 32/21
| 32/21
Line 738: Line 738:
|-
|-
| 105
| 105
|
|736.8421
| ?
| ?
| 49/32
| 49/32
Line 745: Line 745:
|-
|-
| 106
| 106
|
|743.8596
| 192/125
| 192/125
| 192/125
| 192/125
Line 752: Line 752:
|-
|-
| 107
| 107
|
|750.8772
| 125/81
| 125/81
| 54/35
| 54/35
Line 759: Line 759:
|-
|-
| 108
| 108
|
|757.8947
| ?
| ?
| 1215/784
| 1215/784
Line 766: Line 766:
|-
|-
| 109
| 109
|
|764.9123
| 972/625
| 972/625
| 14/9
| 14/9
Line 773: Line 773:
|-
|-
| 110
| 110
|
|771.9298
| 25/16
| 25/16
| 25/16
| 25/16
Line 780: Line 780:
|-
|-
| 111
| 111
|
|778.9474
| ?
| ?
| 196/125
| 196/125
Line 787: Line 787:
|-
|-
| 112
| 112
|
|785.9649
| 19683/12500
| 19683/12500
| 63/40
| 63/40
Line 794: Line 794:
|-
|-
| 113
| 113
|
|792.9825
| 128/81
| 128/81
| 128/81
| 128/81
Line 801: Line 801:
|-
|-
| 114
| 114
|
|800.0000
| 31250/19683
| 31250/19683
| 100/63
| 100/63
Line 808: Line 808:
|-
|-
| 115
| 115
|
|807.0175
| ?
| ?
| 625/392
| 625/392
Line 815: Line 815:
|-
|-
| 116
| 116
|
|814.0351
| 8/5
| 8/5
| 8/5
| 8/5
Line 822: Line 822:
|-
|-
| 117
| 117
|
|821.0526
| 3125/1944
| 3125/1944
| 45/28
| 45/28
Line 829: Line 829:
|-
|-
| 118
| 118
|
|828.0702
| ?
| ?
| 392/243
| 392/243
Line 836: Line 836:
|-
|-
| 119
| 119
|
|835.0877
| 81/50
| 81/50
| 81/50
| 81/50
Line 843: Line 843:
|-
|-
| 120
| 120
|
|842.1053
| 625/384
| 625/384
| 512/315
| 512/315
Line 850: Line 850:
|-
|-
| 121
| 121
|
|849.1228
| ?
| ?
| 49/30
| 49/30
Line 857: Line 857:
|-
|-
| 122
| 122
|
|856.1404
| 1024/625
| 1024/625
| 105/64
| 105/64
Line 864: Line 864:
|-
|-
| 123
| 123
|
|863.1579
| 400/243
| 400/243
| 288/175
| 288/175
Line 871: Line 871:
|-
|-
| 124
| 124
|
|870.1754
| ?
| ?
| 81/49
| 81/49
Line 878: Line 878:
|-
|-
| 125
| 125
|
|877.1930
| 5184/3125
| 5184/3125
| 224/135
| 224/135
Line 885: Line 885:
|-
|-
| 126
| 126
|
|884.2105
| 5/3
| 5/3
| 5/3
| 5/3
Line 892: Line 892:
|-
|-
| 127
| 127
|
|891.2281
| 78125/46656
| 78125/46656
| 375/224
| 375/224
Line 899: Line 899:
|-
|-
| 128
| 128
|
|898.2456
| 26244/15625
| 26244/15625
| 42/25
| 42/25
Line 906: Line 906:
|-
|-
| 129
| 129
|
|905.2632
| 27/16
| 27/16
| 27/16
| 27/16
Line 913: Line 913:
|-
|-
| 130
| 130
|
|912.2807
| 15625/9216
| 15625/9216
| 320/189
| 320/189
Line 920: Line 920:
|-
|-
| 131
| 131
|
|919.2982
| ?
| ?
| 245/144
| 245/144
Line 927: Line 927:
|-
|-
| 132
| 132
|
|926.3158
| 128/75
| 128/75
| 128/75
| 128/75
Line 934: Line 934:
|-
|-
| 133
| 133
|
|933.3333
| 1250/729
| 1250/729
| 12/7
| 12/7
Line 941: Line 941:
|-
|-
| 134
| 134
|
|940.3509
| ?
| ?
| 441/256
| 441/256
Line 948: Line 948:
|-
|-
| 135
| 135
|
|947.3684
| 216/125
| 216/125
| 140/81
| 140/81
Line 955: Line 955:
|-
|-
| 136
| 136
|
|954.3860
| 125/72
| 125/72
| 125/72
| 125/72
Line 962: Line 962:
|-
|-
| 137
| 137
|
|961.4035
| ?
| ?
| 256/147
| 256/147
Line 969: Line 969:
|-
|-
| 138
| 138
|
|968.4211
| 2187/1250
| 2187/1250
| 7/4
| 7/4
Line 976: Line 976:
|-
|-
| 139
| 139
|
|975.4386
| 225/128
| 225/128
| 225/128
| 225/128
Line 983: Line 983:
|-
|-
| 140
| 140
|
|982.4561
| ?
| ?
| 432/245
| 432/245
Line 990: Line 990:
|-
|-
| 141
| 141
|
|989.4737
| 27648/15625
| 27648/15625
| 567/320
| 567/320
Line 997: Line 997:
|-
|-
| 142
| 142
|
|996.4912
| 16/9
| 16/9
| 16/9
| 16/9
Line 1,004: Line 1,004:
|-
|-
| 143
| 143
|
|1003.5088
| 15625/8748
| 15625/8748
| 25/14
| 25/14
Line 1,011: Line 1,011:
|-
|-
| 144
| 144
|
|1010.5263
| ?
| ?
| 224/125
| 224/125
Line 1,018: Line 1,018:
|-
|-
| 145
| 145
|
|1017.5439
| 9/5
| 9/5
| 9/5
| 9/5
Line 1,025: Line 1,025:
|-
|-
| 146
| 146
|
|1024.5614
| 3125/1728
| 3125/1728
| 405/224
| 405/224
Line 1,032: Line 1,032:
|-
|-
| 147
| 147
|
|1031.5789
| ?
| ?
| 49/27
| 49/27
Line 1,039: Line 1,039:
|-
|-
| 148
| 148
|
|1038.5965
| 729/400
| 729/400
| 175/96
| 175/96
Line 1,046: Line 1,046:
|-
|-
| 149
| 149
|
|1045.6140
| 1875/1024
| 1875/1024
| 64/35
| 64/35
Line 1,053: Line 1,053:
|-
|-
| 150
| 150
|
|1052.6316
| ?
| ?
| 90/49
| 90/49
Line 1,060: Line 1,060:
|-
|-
| 151
| 151
|
|1059.6491
| 1152/625
| 1152/625
| 448/243
| 448/243
Line 1,067: Line 1,067:
|-
|-
| 152
| 152
|
|1066.6667
| 50/27
| 50/27
| 50/27
| 50/27
Line 1,074: Line 1,074:
|-
|-
| 153
| 153
|
|1073.6842
| ?
| ?
| 625/336
| 625/336
Line 1,081: Line 1,081:
|-
|-
| 154
| 154
|
|1080.7018
| 5832/3125
| 5832/3125
| 28/15
| 28/15
Line 1,088: Line 1,088:
|-
|-
| 155
| 155
|
|1087.7193
| 15/8
| 15/8
| 15/8
| 15/8
Line 1,095: Line 1,095:
|-
|-
| 156
| 156
|
|1094.7368
| 78125/41472
| 78125/41472
| 1176/625
| 1176/625
Line 1,102: Line 1,102:
|-
|-
| 157
| 157
|
|1101.7544
| 59049/31250
| 59049/31250
| 189/100
| 189/100
Line 1,109: Line 1,109:
|-
|-
| 158
| 158
|
|1108.7719
| 243/128
| 243/128
| 243/128
| 243/128
Line 1,116: Line 1,116:
|-
|-
| 159
| 159
|
|1115.7895
| 12500/6561
| 12500/6561
| 40/21
| 40/21
Line 1,123: Line 1,123:
|-
|-
| 160
| 160
|
|1122.8070
| ?
| ?
| 245/128
| 245/128
Line 1,130: Line 1,130:
|-
|-
| 161
| 161
|
|1129.8246
| 48/25
| 48/25
| 48/25
| 48/25
Line 1,137: Line 1,137:
|-
|-
| 162
| 162
|
|1136.8421
| 625/324
| 625/324
| 27/14
| 27/14
Line 1,144: Line 1,144:
|-
|-
| 163
| 163
|
|1143.8596
| ?
| ?
| 784/405
| 784/405
Line 1,151: Line 1,151:
|-
|-
| 164
| 164
|  
| 1150.8772
| 243/125
| 243/125
| 35/18
| 35/18
Line 1,158: Line 1,158:
|-
|-
| 165
| 165
|  
| 1157.8947
| 125/64
| 125/64
| 125/64
| 125/64
Line 1,165: Line 1,165:
|-
|-
| 166
| 166
|  
| 1164.9123
| ?
| ?
| 49/25
| 49/25
Line 1,172: Line 1,172:
|-
|-
| 167
| 167
|  
| 1171.9298
| 6144/3125
| 6144/3125
| 63/32
| 63/32
Line 1,179: Line 1,179:
|-
|-
| 168
| 168
|  
| 1178.9474
| 160/81
| 160/81
| 160/81
| 160/81
Line 1,186: Line 1,186:
|-
|-
| 169
| 169
|
|1185.9649
| 78125/39366
| 78125/39366
| 125/63
| 125/63
Line 1,193: Line 1,193:
|-
|-
| 170
| 170
|  
| 1192.9825
| 31104/15625
| 31104/15625
| 448/225
| 448/225

Revision as of 04:09, 29 July 2021

Table of 171edo intervals.

# cents 5-limit 7-limit 11-limit 13-limit
1 7.0175 15625/15552 225/224 225/224 144/143
2 14.0351 78732/78125 126/125 100/99 100/99
3 21.0526 81/80 81/80 81/80 78/77
4 28.0702 3125/3072 64/63 56/55 56/55
5 35.0877 ? 49/48 45/44 45/44
6 42.1053 128/125 128/125 128/125 40/39
7 49.1228 250/243 36/35 36/35 36/35
8 56.1404 ? 405/392 33/32 33/32
9 63.1579 648/625 28/27 28/27 27/26
10 70.1754 25/24 25/24 25/24 25/24
11 77.1930 ? 256/245 256/245 117/112
12 84.2105 6561/6250 21/20 21/20 21/20
13 91.2281 135/128 135/128 128/121 96/91
14 98.2456 62500/59049 200/189 35/33 35/33
15 105.2632 82944/78125 625/588 297/280 52/49
16 112.2807 16/15 16/15 16/15 16/15
17 119.2982 3125/2916 15/14 15/14 15/14
18 126.3158 ? 672/625 275/256 14/13
19 133.3333 27/25 27/25 27/25 27/25
20 140.3509 625/576 243/224 121/112 13/12
21 147.3684 ? 49/45 12/11 12/11
22 154.3860 2048/1875 35/32 35/32 35/32
23 161.4035 800/729 192/175 192/175 100/91
24 168.4211 ? 54/49 11/10 11/10
25 175.4386 3456/3125 448/405 256/231 72/65
26 182.4561 10/9 10/9 10/9 10/9
27 189.4737 78125/69984 125/112 125/112 39/35
28 196.4912 17496/15625 28/25 28/25 28/25
29 203.5088 9/8 9/8 9/8 9/8
30 210.5263 15625/13824 640/567 112/99 44/39
31 217.5439 ? 245/216 25/22 25/22
32 224.5614 256/225 256/225 256/225 91/80
33 231.5789 2500/2187 8/7 8/7 8/7
34 238.5965 ? 147/128 55/48 55/48
35 245.6140 144/125 144/125 140/121 15/13
36 252.6316 125/108 81/70 81/70 52/45
37 259.6491 ? 512/441 64/55 64/55
38 266.6667 729/625 7/6 7/6 7/6
39 273.6842 75/64 75/64 75/64 75/64
40 280.7018 ? 147/125 88/75 88/75
41 287.7193 18432/15625 189/160 33/28 13/11
42 294.7368 32/27 32/27 32/27 32/27
43 301.7544 15625/13122 25/21 25/21 25/21
44 308.7719 93312/78125 448/375 448/375 117/98
45 315.7895 6/5 6/5 6/5 6/5
46 322.8070 3125/2592 135/112 77/64 65/54
47 329.8246 ? 98/81 40/33 40/33
48 336.8421 243/200 175/144 121/100 91/75
49 343.8596 625/512 128/105 128/105 39/32
50 350.8772 ? 49/40 11/9 11/9
51 357.8947 768/625 315/256 275/224 16/13
52 364.9123 100/81 100/81 100/81 100/81
53 371.9298 ? 243/196 99/80 26/21
54 378.9474 3888/3125 56/45 56/45 56/45
55 385.9649 5/4 5/4 5/4 5/4
56 392.9825 78125/62208 784/625 784/625 49/39
57 400.0000 19683/15625 63/50 44/35 44/35
58 407.0175 81/64 81/64 81/64 81/64
59 414.0351 15625/12288 80/63 14/11 14/11
60 421.0526 ? 125/98 125/98 125/98
61 428.0702 32/25 32/25 32/25 32/25
62 435.0877 625/486 9/7 9/7 9/7
63 442.1053 ? 1323/1024 128/99 84/65
64 449.1228 162/125 35/27 35/27 35/27
65 456.1404 125/96 125/96 125/96 13/10
66 463.1579 ? 64/49 64/49 64/49
67 470.1754 4096/3125 21/16 21/16 21/16
68 477.1930 320/243 320/243 160/121 120/91
69 484.2105 78125/59049 250/189 33/25 33/25
70 491.2281 20736/15625 896/675 297/224 65/49
71 498.2456 4/3 4/3 4/3 4/3
72 505.2632 15625/11664 75/56 75/56 75/56
73 512.2807 ? 168/125 168/125 35/26
74 519.2982 27/20 27/20 27/20 27/20
75 526.3158 3125/2304 256/189 224/165 65/48
76 533.3333 ? 49/36 15/11 15/11
77 540.3509 512/375 175/128 175/128 143/105
78 547.3684 1000/729 48/35 48/35 48/35
79 554.3860 ? 135/98 11/8 11/8
80 561.4035 864/625 112/81 112/81 18/13
81 568.4211 25/18 25/18 25/18 25/18
82 575.4386 ? 625/448 384/275 39/28
83 582.4561 4374/3125 7/5 7/5 7/5
84 589.4737 45/32 45/32 45/32 45/32
85 596.4912 78125/55296 343/243 140/99 55/39
86 603.5088 ? 486/343 99/70 78/55
87 610.5263 64/45 64/45 64/45 64/45
88 617.5439 3125/2187 10/7 10/7 10/7
89 624.5614 ? 735/512 275/192 56/39
90 631.5789 36/25 36/25 36/25 36/25
91 638.5965 625/432 81/56 81/56 13/9
92 645.6140 ? 196/135 16/11 16/11
93 652.6316 729/500 35/24 35/24 35/24
94 659.6491 375/256 256/175 256/175 117/80
95 666.6667 ? 72/49 22/15 22/15
96 673.6842 4608/3125 189/128 165/112 65/44
97 680.7018 40/27 40/27 40/27 40/27
98 687.7193 78125/52488 125/84 125/84 52/35
99 694.7368 23328/15625 112/75 112/75 112/75
100 701.7544 3/2 3/2 3/2 3/2
101 708.7719 15625/10368 675/448 385/256 98/65
102 715.7895 ? 189/125 50/33 50/33
103 722.8070 243/160 243/160 121/80 91/60
104 729.8246 3125/2048 32/21 32/21 32/21
105 736.8421 ? 49/32 49/32 49/32
106 743.8596 192/125 192/125 192/125 20/13
107 750.8772 125/81 54/35 54/35 54/35
108 757.8947 ? 1215/784 99/64 65/42
109 764.9123 972/625 14/9 14/9 14/9
110 771.9298 25/16 25/16 25/16 25/16
111 778.9474 ? 196/125 196/125 169/108
112 785.9649 19683/12500 63/40 11/7 11/7
113 792.9825 128/81 128/81 128/81 128/81
114 800.0000 31250/19683 100/63 35/22 35/22
115 807.0175 ? 625/392 625/392 78/49
116 814.0351 8/5 8/5 8/5 8/5
117 821.0526 3125/1944 45/28 45/28 45/28
118 828.0702 ? 392/243 160/99 21/13
119 835.0877 81/50 81/50 81/50 81/50
120 842.1053 625/384 512/315 363/224 13/8
121 849.1228 ? 49/30 18/11 18/11
122 856.1404 1024/625 105/64 105/64 64/39
123 863.1579 400/243 288/175 200/121 150/91
124 870.1754 ? 81/49 33/20 33/20
125 877.1930 5184/3125 224/135 128/77 108/65
126 884.2105 5/3 5/3 5/3 5/3
127 891.2281 78125/46656 375/224 375/224 117/70
128 898.2456 26244/15625 42/25 42/25 42/25
129 905.2632 27/16 27/16 27/16 27/16
130 912.2807 15625/9216 320/189 56/33 22/13
131 919.2982 ? 245/144 75/44 75/44
132 926.3158 128/75 128/75 128/75 128/75
133 933.3333 1250/729 12/7 12/7 12/7
134 940.3509 ? 441/256 55/32 55/32
135 947.3684 216/125 140/81 140/81 45/26
136 954.3860 125/72 125/72 121/70 26/15
137 961.4035 ? 256/147 96/55 96/55
138 968.4211 2187/1250 7/4 7/4 7/4
139 975.4386 225/128 225/128 225/128 160/91
140 982.4561 ? 432/245 44/25 44/25
141 989.4737 27648/15625 567/320 99/56 39/22
142 996.4912 16/9 16/9 16/9 16/9
143 1003.5088 15625/8748 25/14 25/14 25/14
144 1010.5263 ? 224/125 224/125 70/39
145 1017.5439 9/5 9/5 9/5 9/5
146 1024.5614 3125/1728 405/224 231/128 65/36
147 1031.5789 ? 49/27 20/11 20/11
148 1038.5965 729/400 175/96 175/96 91/50
149 1045.6140 1875/1024 64/35 64/35 64/35
150 1052.6316 ? 90/49 11/6 11/6
151 1059.6491 1152/625 448/243 224/121 24/13
152 1066.6667 50/27 50/27 50/27 50/27
153 1073.6842 ? 625/336 297/160 13/7
154 1080.7018 5832/3125 28/15 28/15 28/15
155 1087.7193 15/8 15/8 15/8 15/8
156 1094.7368 78125/41472 1176/625 560/297 49/26
157 1101.7544 59049/31250 189/100 66/35 66/35
158 1108.7719 243/128 243/128 121/64 91/48
159 1115.7895 12500/6561 40/21 21/11 21/11
160 1122.8070 ? 245/128 245/128 143/75
161 1129.8246 48/25 48/25 48/25 25/13
162 1136.8421 625/324 27/14 27/14 27/14
163 1143.8596 ? 784/405 64/33 64/33
164 1150.8772 243/125 35/18 35/18 35/18
165 1157.8947 125/64 125/64 125/64 39/20
166 1164.9123 ? 49/25 49/25 49/25
167 1171.9298 6144/3125 63/32 55/28 55/28
168 1178.9474 160/81 160/81 160/81 77/39
169 1185.9649 78125/39366 125/63 99/50 99/50
170 1192.9825 31104/15625 448/225 448/225 143/72
171 1200.0000 2/1 2/1 2/1 2/1
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