Table of 171edo intervals: Difference between revisions

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Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,668 edits
m added a cents column and added some cent values to it
Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,668 edits
m now have cent values of half the intervals
Line 241: Line 241:
|-
|-
| 34
| 34
|  
| 238.5965
| ?
| ?
| 147/128
| 147/128
Line 248: Line 248:
|-
|-
| 35
| 35
|  
| 245.6140
| 144/125
| 144/125
| 144/125
| 144/125
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|-
|-
| 36
| 36
|  
| 252.6316
| 125/108
| 125/108
| 81/70
| 81/70
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|-
|-
| 37
| 37
|  
| 259.6491
| ?
| ?
| 512/441
| 512/441
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|-
|-
| 38
| 38
|  
| 266.6667
| 729/625
| 729/625
| 7/6
| 7/6
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|-
|-
| 39
| 39
|  
| 273.6842
| 75/64
| 75/64
| 75/64
| 75/64
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|-
|-
| 40
| 40
|  
| 280.7018
| ?
| ?
| 147/125
| 147/125
Line 290: Line 290:
|-
|-
| 41
| 41
|  
| 287.7193
| 18432/15625
| 18432/15625
| 189/160
| 189/160
Line 297: Line 297:
|-
|-
| 42
| 42
|  
| 294.7368
| 32/27
| 32/27
| 32/27
| 32/27
Line 304: Line 304:
|-
|-
| 43
| 43
|  
| 301.7544
| 15625/13122
| 15625/13122
| 25/21
| 25/21
Line 311: Line 311:
|-
|-
| 44
| 44
|  
| 308.7719
| 93312/78125
| 93312/78125
| 448/375
| 448/375
Line 318: Line 318:
|-
|-
| 45
| 45
|  
| 315.7895
| 6/5
| 6/5
| 6/5
| 6/5
Line 325: Line 325:
|-
|-
| 46
| 46
|  
| 322.8070
| 3125/2592
| 3125/2592
| 135/112
| 135/112
Line 332: Line 332:
|-
|-
| 47
| 47
|  
| 329.8246
| ?
| ?
| 98/81
| 98/81
Line 339: Line 339:
|-
|-
| 48
| 48
|  
| 336.8421
| 243/200
| 243/200
| 175/144
| 175/144
Line 346: Line 346:
|-
|-
| 49
| 49
|  
| 343.8596
| 625/512
| 625/512
| 128/105
| 128/105
Line 353: Line 353:
|-
|-
| 50
| 50
|  
| 350.8772
| ?
| ?
| 49/40
| 49/40
Line 360: Line 360:
|-
|-
| 51
| 51
|  
| 357.8947
| 768/625
| 768/625
| 315/256
| 315/256
Line 367: Line 367:
|-
|-
| 52
| 52
|  
| 364.9123
| 100/81
| 100/81
| 100/81
| 100/81
Line 374: Line 374:
|-
|-
| 53
| 53
|  
| 371.9298
| ?
| ?
| 243/196
| 243/196
Line 381: Line 381:
|-
|-
| 54
| 54
|  
| 378.9474
| 3888/3125
| 3888/3125
| 56/45
| 56/45
Line 388: Line 388:
|-
|-
| 55
| 55
|  
| 385.9649
| 5/4
| 5/4
| 5/4
| 5/4
Line 395: Line 395:
|-
|-
| 56
| 56
|  
| 392.9825
| 78125/62208
| 78125/62208
| 784/625
| 784/625
Line 402: Line 402:
|-
|-
| 57
| 57
|  
| 400.0000
| 19683/15625
| 19683/15625
| 63/50
| 63/50
Line 409: Line 409:
|-
|-
| 58
| 58
|  
| 407.0175
| 81/64
| 81/64
| 81/64
| 81/64
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|-
|-
| 59
| 59
|  
| 414.0351
| 15625/12288
| 15625/12288
| 80/63
| 80/63
Line 423: Line 423:
|-
|-
| 60
| 60
|  
| 421.0526
| ?
| ?
| 125/98
| 125/98
Line 430: Line 430:
|-
|-
| 61
| 61
|  
| 428.0702
| 32/25
| 32/25
| 32/25
| 32/25
Line 437: Line 437:
|-
|-
| 62
| 62
|  
| 435.0877
| 625/486
| 625/486
| 9/7
| 9/7
Line 444: Line 444:
|-
|-
| 63
| 63
|  
| 442.1053
| ?
| ?
| 1323/1024
| 1323/1024
Line 451: Line 451:
|-
|-
| 64
| 64
|  
| 449.1228
| 162/125
| 162/125
| 35/27
| 35/27
Line 458: Line 458:
|-
|-
| 65
| 65
|  
| 456.1404
| 125/96
| 125/96
| 125/96
| 125/96
Line 465: Line 465:
|-
|-
| 66
| 66
|  
| 463.1579
| ?
| ?
| 64/49
| 64/49
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|-
|-
| 67
| 67
|  
| 470.1754
| 4096/3125
| 4096/3125
| 21/16
| 21/16
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|-
|-
| 68
| 68
|  
| 477.1930
| 320/243
| 320/243
| 320/243
| 320/243
Line 486: Line 486:
|-
|-
| 69
| 69
|  
| 484.2105
| 78125/59049
| 78125/59049
| 250/189
| 250/189
Line 493: Line 493:
|-
|-
| 70
| 70
|  
| 491.2281
| 20736/15625
| 20736/15625
| 896/675
| 896/675
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|-
|-
| 71
| 71
|  
| 498.2456
| 4/3
| 4/3
| 4/3
| 4/3
Line 507: Line 507:
|-
|-
| 72
| 72
|  
| 505.2632
| 15625/11664
| 15625/11664
| 75/56
| 75/56
Line 514: Line 514:
|-
|-
| 73
| 73
|  
| 512.2807
| ?
| ?
| 168/125
| 168/125
Line 521: Line 521:
|-
|-
| 74
| 74
|
| 519.2982
| 27/20
| 27/20
| 27/20
| 27/20
Line 528: Line 528:
|-
|-
| 75
| 75
|
| 526.3158
| 3125/2304
| 3125/2304
| 256/189
| 256/189
Line 535: Line 535:
|-
|-
| 76
| 76
|
| 533.3333
| ?
| ?
| 49/36
| 49/36
Line 542: Line 542:
|-
|-
| 77
| 77
|
| 540.3509
| 512/375
| 512/375
| 175/128
| 175/128
Line 549: Line 549:
|-
|-
| 78
| 78
|
| 547.3684
| 1000/729
| 1000/729
| 48/35
| 48/35
Line 556: Line 556:
|-
|-
| 79
| 79
|
| 554.3860
| ?
| ?
| 135/98
| 135/98
Line 563: Line 563:
|-
|-
| 80
| 80
|
| 561.4035
| 864/625
| 864/625
| 112/81
| 112/81
Line 570: Line 570:
|-
|-
| 81
| 81
|
| 568.4211
| 25/18
| 25/18
| 25/18
| 25/18
Line 577: Line 577:
|-
|-
| 82
| 82
|
| 575.4386
| ?
| ?
| 625/448
| 625/448
Line 584: Line 584:
|-
|-
| 83
| 83
|
| 582.4561
| 4374/3125
| 4374/3125
| 7/5
| 7/5
Line 591: Line 591:
|-
|-
| 84
| 84
|
| 589.4737
| 45/32
| 45/32
| 45/32
| 45/32
Line 598: Line 598:
|-
|-
| 85
| 85
|
| 596.4912
| 78125/55296
| 78125/55296
| 343/243
| 343/243

Revision as of 01:44, 15 March 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 ? 486/343 99/70 78/55
87 64/45 64/45 64/45 64/45
88 3125/2187 10/7 10/7 10/7
89 ? 735/512 275/192 56/39
90 36/25 36/25 36/25 36/25
91 625/432 81/56 81/56 13/9
92 ? 196/135 16/11 16/11
93 729/500 35/24 35/24 35/24
94 375/256 256/175 256/175 117/80
95 ? 72/49 22/15 22/15
96 4608/3125 189/128 165/112 65/44
97 40/27 40/27 40/27 40/27
98 78125/52488 125/84 125/84 52/35
99 23328/15625 112/75 112/75 112/75
100 701.7544 3/2 3/2 3/2 3/2
101 15625/10368 675/448 385/256 98/65
102 ? 189/125 50/33 50/33
103 243/160 243/160 121/80 91/60
104 3125/2048 32/21 32/21 32/21
105 ? 49/32 49/32 49/32
106 192/125 192/125 192/125 20/13
107 125/81 54/35 54/35 54/35
108 ? 1215/784 99/64 65/42
109 972/625 14/9 14/9 14/9
110 25/16 25/16 25/16 25/16
111 ? 196/125 196/125 169/108
112 19683/12500 63/40 11/7 11/7
113 128/81 128/81 128/81 128/81
114 31250/19683 100/63 35/22 35/22
115 ? 625/392 625/392 78/49
116 8/5 8/5 8/5 8/5
117 3125/1944 45/28 45/28 45/28
118 ? 392/243 160/99 21/13
119 81/50 81/50 81/50 81/50
120 625/384 512/315 363/224 13/8
121 ? 49/30 18/11 18/11
122 1024/625 105/64 105/64 64/39
123 400/243 288/175 200/121 150/91
124 ? 81/49 33/20 33/20
125 5184/3125 224/135 128/77 108/65
126 5/3 5/3 5/3 5/3
127 78125/46656 375/224 375/224 117/70
128 26244/15625 42/25 42/25 42/25
129 27/16 27/16 27/16 27/16
130 15625/9216 320/189 56/33 22/13
131 ? 245/144 75/44 75/44
132 128/75 128/75 128/75 128/75
133 1250/729 12/7 12/7 12/7
134 ? 441/256 55/32 55/32
135 216/125 140/81 140/81 45/26
136 125/72 125/72 121/70 26/15
137 ? 256/147 96/55 96/55
138 2187/1250 7/4 7/4 7/4
139 225/128 225/128 225/128 160/91
140 ? 432/245 44/25 44/25
141 27648/15625 567/320 99/56 39/22
142 16/9 16/9 16/9 16/9
143 15625/8748 25/14 25/14 25/14
144 ? 224/125 224/125 70/39
145 9/5 9/5 9/5 9/5
146 3125/1728 405/224 231/128 65/36
147 ? 49/27 20/11 20/11
148 729/400 175/96 175/96 91/50
149 1875/1024 64/35 64/35 64/35
150 ? 90/49 11/6 11/6
151 1152/625 448/243 224/121 24/13
152 50/27 50/27 50/27 50/27
153 ? 625/336 297/160 13/7
154 5832/3125 28/15 28/15 28/15
155 15/8 15/8 15/8 15/8
156 78125/41472 1176/625 560/297 49/26
157 59049/31250 189/100 66/35 66/35
158 243/128 243/128 121/64 91/48
159 12500/6561 40/21 21/11 21/11
160 ? 245/128 245/128 143/75
161 48/25 48/25 48/25 25/13
162 625/324 27/14 27/14 27/14
163 ? 784/405 64/33 64/33
164 243/125 35/18 35/18 35/18
165 125/64 125/64 125/64 39/20
166 ? 49/25 49/25 49/25
167 6144/3125 63/32 55/28 55/28
168 160/81 160/81 160/81 77/39
169 78125/39366 125/63 99/50 99/50
170 31104/15625 448/225 448/225 143/72
171 1200.0000 2/1 2/1 2/1 2/1
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