Xenharmonic Wiki

Table of 270edo intervals: Difference between revisions

← Older editNewer edit →
VisualWikitext
Wikispaces>guest
**Imported revision 325313622 - Original comment: **
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{| class="wikitable"
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
|-
: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-25 21:19:17 UTC</tt>.<br>
| | Step
: The original revision id was <tt>325313622</tt>.<br>
| | Five limit
: The revision comment was: <tt></tt><br>
| | Seven limit
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | Eleven limit
<h4>Original Wikitext content:</h4>
| | Thirteen limit
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">|| Step || Five limit || Seven limit || Eleven limit || Thirteen limit ||
|-
|| 1 || 32805/32768 || 3136/3125 || 385/384 || 325/324 ||
| | 1
|| 2 || 15625/15552 || 225/224 || 176/175 || 169/168 ||
| | 32805/32768
|| 3 || 78732/78125 || 126/125 || 121/120 || 121/120 ||
| | 3136/3125
|| 4 || 2048/2025 || 2048/2025 || 99/98 || 91/90 ||
| | 385/384
|| 5 || 81/80 || 81/80 || 81/80 || 78/77 ||
| | 325/324
|| 6 || 20000/19683 || 64/63 || 64/63 || 64/63 ||
|-
|| 7 || 3125/3072 || 3125/3072 || 55/54 || 55/54 ||
| | 2
|| 8 || 1594323/1562500 || 49/48 || 49/48 || 49/48 ||
| | 15625/15552
|| 9 || 128/125 || 128/125 || 45/44 || 45/44 ||
| | 225/224
|| 10 || 6561/6400 || 525/512 || 77/75 || 40/39 ||
| | 176/175
|| 11 || 250/243 || 36/35 || 36/35 || 36/35 ||
| | 169/168
|| 12 || 16875/16384 || 4096/3969 || 33/32 || 33/32 ||
|-
|| 13 || 262144/253125 || 405/392 || 125/121 || 91/88 ||
| | 3
|| 14 || 648/625 || 28/27 || 28/27 || 28/27 ||
| | 78732/78125
|| 15 || 20480/19683 || 8192/7875 || 80/77 || 26/25 ||
| | 126/125
|| 16 || 25/24 || 25/24 || 25/24 || 25/24 ||
| | 121/120
|| 17 || 273375/262144 || 256/245 || 256/245 || 117/112 ||
| | 121/120
|| 18 || 16384/15625 || 1875/1792 || 22/21 || 22/21 ||
|-
|| 19 || 6561/6250 || 21/20 || 21/20 || 21/20 ||
| | 4
|| 20 || 256/243 || 256/243 || 81/77 || 81/77 ||
| | 2048/2025
|| 21 || 135/128 || 135/128 || 132/125 || 96/91 ||
| | 2048/2025
|| 22 || 62500/59049 || 200/189 || 128/121 || 55/52 ||
| | 99/98
|| 23 || 78125/73728 || 3584/3375 || 35/33 || 35/33 ||
| | 91/90
|| 24 || 524288/492075 || 625/588 || 625/588 || 117/110 ||
|-
|| 25 || 16/15 || 16/15 || 16/15 || 16/15 ||
| | 5
|| 26 || 2187/2048 || 2187/2048 || 77/72 || 77/72 ||
| | 81/80
|| 27 || 3125/2916 || 15/14 || 15/14 || 15/14 ||
| | 81/80
|| 28 || 140625/131072 || 672/625 || 189/176 || 130/121 ||
| | 81/80
|| 29 || 32768/30375 || 2205/2048 || 264/245 || 14/13 ||
| | 78/77
|| 30 || 27/25 || 27/25 || 27/25 || 27/25 ||
|-
|| 31 || 64000/59049 || 1024/945 || 250/231 || 13/12 ||
| | 6
|| 32 || 625/576 || 243/224 || 88/81 || 88/81 ||
| | 20000/19683
|| 33 || 2125764/1953125 || 49/45 || 49/45 || 49/45 ||
| | 64/63
|| 34 || 2048/1875 || 2048/1875 || 12/11 || 12/11 ||
| | 64/63
|| 35 || 2187/2000 || 35/32 || 35/32 || 35/32 ||
| | 64/63
|| 36 || 800/729 || 192/175 || 192/175 || 169/154 ||
|-
|| 37 || 1125/1024 || 1125/1024 || 11/10 || 11/10 ||
| | 7
|| 38 || 390625/354294 || 54/49 || 54/49 || 54/49 ||
| | 3125/3072
|| 39 || 3456/3125 || 448/405 || 243/220 || 243/220 ||
| | 3125/3072
|| 40 || 65536/59049 || 567/512 || 256/231 || 72/65 ||
| | 55/54
|| 41 || 10/9 || 10/9 || 10/9 || 10/9 ||
| | 55/54
|| 42 || 18225/16384 || 4096/3675 || 49/44 || 39/35 ||
|-
|| 43 || 78125/69984 || 125/112 || 125/112 || 125/112 ||
| | 8
|| 44 || 17496/15625 || 28/25 || 28/25 || 28/25 ||
| | 1594323/1562500
|| 45 || 4096/3645 || 4096/3645 || 55/49 || 55/49 ||
| | 49/48
|| 46 || 9/8 || 9/8 || 9/8 || 9/8 ||
| | 49/48
|| 47 || 200000/177147 || 640/567 || 640/567 || 44/39 ||
| | 49/48
|| 48 || 15625/13824 || 2025/1792 || 112/99 || 112/99 ||
|-
|| 49 || 177147/156250 || 245/216 || 245/216 || 143/126 ||
| | 9
|| 50 || 256/225 || 256/225 || 25/22 || 25/22 ||
| | 128/125
|| 51 || 729/640 || 729/640 || 154/135 || 154/135 ||
| | 128/125
|| 52 || 2500/2187 || 8/7 || 8/7 || 8/7 ||
| | 45/44
|| 53 || 9375/8192 || 3584/3125 || 55/48 || 55/48 ||
| | 45/44
|| 54 || 524288/455625 || 147/128 || 147/128 || 147/128 ||
|-
|| 55 || 144/125 || 144/125 || 121/105 || 121/105 ||
| | 10
|| 56 || 59049/51200 || 4725/4096 || 231/200 || 15/13 ||
| | 6561/6400
|| 57 || 125/108 || 81/70 || 81/70 || 81/70 ||
| | 525/512
|| 58 || 151875/131072 || 512/441 || 297/256 || 65/56 ||
| | 77/75
|| 59 || 32768/28125 || 3125/2688 || 64/55 || 64/55 ||
| | 40/39
|| 60 || 729/625 || 7/6 || 7/6 || 7/6 ||
|-
|| 61 || 2560/2187 || 1024/875 || 90/77 || 90/77 ||
| | 11
|| 62 || 75/64 || 75/64 || 75/64 || 75/64 ||
| | 250/243
|| 63 || 625000/531441 || 147/125 || 147/125 || 147/125 ||
| | 36/35
|| 64 || 18432/15625 || 7168/6075 || 33/28 || 33/28 ||
| | 36/35
|| 65 || 59049/50000 || 189/160 || 189/160 || 13/11 ||
| | 36/35
|| 66 || 32/27 || 32/27 || 32/27 || 32/27 ||
|-
|| 67 || 1215/1024 || 1215/1024 || 196/165 || 108/91 ||
| | 12
|| 68 || 15625/13122 || 25/21 || 25/21 || 25/21 ||
| | 16875/16384
|| 69 || 78125/65536 || 448/375 || 105/88 || 105/88 ||
| | 4096/3969
|| 70 || 65536/54675 || 1225/1024 || 176/147 || 140/117 ||
| | 33/32
|| 71 || 6/5 || 6/5 || 6/5 || 6/5 ||
| | 33/32
|| 72 || 19683/16384 || 2048/1701 || 77/64 || 65/54 ||
|-
|| 73 || 3125/2592 || 135/112 || 135/112 || 135/112 ||
| | 13
|| 74 || 472392/390625 || 98/81 || 98/81 || 98/81 ||
| | 262144/253125
|| 75 || 4096/3375 || 4096/3375 || 40/33 || 40/33 ||
| | 405/392
|| 76 || 243/200 || 175/144 || 147/121 || 147/121 ||
| | 125/121
|| 77 || 8000/6561 || 128/105 || 128/105 || 39/32 ||
| | 91/88
|| 78 || 625/512 || 625/512 || 11/9 || 11/9 ||
|-
|| 79 || 1953125/1594323 || 49/40 || 49/40 || 49/40 ||
| | 14
|| 80 || 768/625 || 768/625 || 27/22 || 27/22 ||
| | 648/625
|| 81 || 19683/16000 || 315/256 || 154/125 || 16/13 ||
| | 28/27
|| 82 || 100/81 || 100/81 || 100/81 || 100/81 ||
| | 28/27
|| 83 || 10125/8192 || 8192/6615 || 99/80 || 26/21 ||
| | 28/27
|| 84 || 390625/314928 || 243/196 || 150/121 || 150/121 ||
|-
|| 85 || 3888/3125 || 56/45 || 56/45 || 56/45 ||
| | 15
|| 86 || 8192/6561 || 5103/4096 || 96/77 || 81/65 ||
| | 20480/19683
|| 87 || 5/4 || 5/4 || 5/4 || 5/4 ||
| | 8192/7875
|| 88 || 164025/131072 || 784/625 || 441/352 || 351/280 ||
| | 80/77
|| 89 || 78125/62208 || 1125/896 || 44/35 || 44/35 ||
| | 26/25
|| 90 || 19683/15625 || 63/50 || 63/50 || 63/50 ||
|-
|| 91 || 512/405 || 512/405 || 125/99 || 91/72 ||
| | 16
|| 92 || 81/64 || 81/64 || 81/64 || 81/64 ||
| | 25/24
|| 93 || 25000/19683 || 80/63 || 80/63 || 33/26 ||
| | 25/24
|| 94 || 15625/12288 || 7168/5625 || 14/11 || 14/11 ||
| | 25/24
|| 95 || 1048576/820125 || 125/98 || 125/98 || 125/98 ||
| | 25/24
|| 96 || 32/25 || 32/25 || 32/25 || 32/25 ||
|-
|| 97 || 6561/5120 || 2625/2048 || 77/60 || 50/39 ||
| | 17
|| 98 || 625/486 || 9/7 || 9/7 || 9/7 ||
| | 273375/262144
|| 99 || 84375/65536 || 1568/1215 || 165/128 || 156/121 ||
| | 256/245
|| 100 || 65536/50625 || 1323/1024 || 128/99 || 84/65 ||
| | 256/245
|| 101 || 162/125 || 35/27 || 35/27 || 35/27 ||
| | 117/112
|| 102 || 25600/19683 || 2048/1575 || 100/77 || 13/10 ||
|-
|| 103 || 125/96 || 125/96 || 125/96 || 125/96 ||
| | 18
|| 104 || 1366875/1048576 || 64/49 || 64/49 || 64/49 ||
| | 16384/15625
|| 105 || 4096/3125 || 4096/3125 || 55/42 || 55/42 ||
| | 1875/1792
|| 106 || 6561/5000 || 21/16 || 21/16 || 21/16 ||
| | 22/21
|| 107 || 320/243 || 320/243 || 320/243 || 154/117 ||
| | 22/21
|| 108 || 675/512 || 675/512 || 33/25 || 33/25 ||
|-
|| 109 || 78125/59049 || 250/189 || 160/121 || 143/108 ||
| | 19
|| 110 || 20736/15625 || 896/675 || 175/132 || 65/49 ||
| | 6561/6250
|| 111 || 131072/98415 || 1701/1280 || 512/385 || 117/88 ||
| | 21/20
|| 112 || 4/3 || 4/3 || 4/3 || 4/3 ||
| | 21/20
|| 113 || 10935/8192 || 8192/6125 || 147/110 || 147/110 ||
| | 21/20
|| 114 || 15625/11664 || 75/56 || 75/56 || 75/56 ||
|-
|| 115 || 104976/78125 || 168/125 || 121/90 || 121/90 ||
| | 20
|| 116 || 8192/6075 || 8192/6075 || 66/49 || 35/26 ||
| | 256/243
|| 117 || 27/20 || 27/20 || 27/20 || 27/20 ||
| | 256/243
|| 118 || 80000/59049 || 256/189 || 256/189 || 65/48 ||
| | 81/77
|| 119 || 3125/2304 || 1215/896 || 110/81 || 110/81 ||
| | 81/77
|| 120 || 531441/390625 || 49/36 || 49/36 || 49/36 ||
|-
|| 121 || 512/375 || 512/375 || 15/11 || 15/11 ||
| | 21
|| 122 || 2187/1600 || 175/128 || 175/128 || 160/117 ||
| | 135/128
|| 123 || 1000/729 || 48/35 || 48/35 || 48/35 ||
| | 135/128
|| 124 || 5625/4096 || 5625/4096 || 11/8 || 11/8 ||
| | 132/125
|| 125 || 1048576/759375 || 135/98 || 135/98 || 91/66 ||
| | 96/91
|| 126 || 864/625 || 112/81 || 112/81 || 112/81 ||
|-
|| 127 ||
| | 22
| | 62500/59049
| | 200/189
| | 128/121
| | 55/52
|-
| | 23
| | 78125/73728
| | 3584/3375
| | 35/33
| | 35/33
|-
| | 24
| | 524288/492075
| | 625/588
| | 625/588
| | 117/110
|-
| | 25
| | 16/15
| | 16/15
| | 16/15
| | 16/15
|-
| | 26
| | 2187/2048
| | 2187/2048
| | 77/72
| | 77/72
|-
| | 27
| | 3125/2916
| | 15/14
| | 15/14
| | 15/14
|-
| | 28
| | 140625/131072
| | 672/625
| | 189/176
| | 130/121
|-
| | 29
| | 32768/30375
| | 2205/2048
| | 264/245
| | 14/13
|-
| | 30
| | 27/25
| | 27/25
| | 27/25
| | 27/25
|-
| | 31
| | 64000/59049
| | 1024/945
| | 250/231
| | 13/12
|-
| | 32
| | 625/576
| | 243/224
| | 88/81
| | 88/81
|-
| | 33
| | 2125764/1953125
| | 49/45
| | 49/45
| | 49/45
|-
| | 34
| | 2048/1875
| | 2048/1875
| | 12/11
| | 12/11
|-
| | 35
| | 2187/2000
| | 35/32
| | 35/32
| | 35/32
|-
| | 36
| | 800/729
| | 192/175
| | 192/175
| | 169/154
|-
| | 37
| | 1125/1024
| | 1125/1024
| | 11/10
| | 11/10
|-
| | 38
| | 390625/354294
| | 54/49
| | 54/49
| | 54/49
|-
| | 39
| | 3456/3125
| | 448/405
| | 243/220
| | 243/220
|-
| | 40
| | 65536/59049
| | 567/512
| | 256/231
| | 72/65
|-
| | 41
| | 10/9
| | 10/9
| | 10/9
| | 10/9
|-
| | 42
| | 18225/16384
| | 4096/3675
| | 49/44
| | 39/35
|-
| | 43
| | 78125/69984
| | 125/112
| | 125/112
| | 125/112
|-
| | 44
| | 17496/15625
| | 28/25
| | 28/25
| | 28/25
|-
| | 45
| | 4096/3645
| | 4096/3645
| | 55/49
| | 55/49
|-
| | 46
| | 9/8
| | 9/8
| | 9/8
| | 9/8
|-
| | 47
| | 200000/177147
| | 640/567
| | 640/567
| | 44/39
|-
| | 48
| | 15625/13824
| | 2025/1792
| | 112/99
| | 112/99
|-
| | 49
| | 177147/156250
| | 245/216
| | 245/216
| | 143/126
|-
| | 50
| | 256/225
| | 256/225
| | 25/22
| | 25/22
|-
| | 51
| | 729/640
| | 729/640
| | 154/135
| | 154/135
|-
| | 52
| | 2500/2187
| | 8/7
Retrieved from "https://en.xen.wiki/w/Table_of_270edo_intervals"