Table of 612edo intervals: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:~~keenanpepper~~|~~keenanpepper~~]] and made on <tt>2012-01-30 22:~~52:50~~ UTC</tt>.

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2012-01-31 03:22:37 UTC</tt>.

: The original revision id was <tt>~~296866816~~</tt>.

: The original revision id was <tt>296898718</tt>.

: The revision comment was: <tt></tt>

: The revision comment was: <tt>Suggestion: mark the specifically new ratios provided through the increment of the limit.</tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

<h4>Original Wikitext content:</h4>

<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 ||

|| 1 || 32805/32768 || 32805/32768 || 5632/5625 ||

|| 1 || 32805/32768 || 32805/32768 || **5632/5625** ||

|| 2 || 1076168025/1073741824 || 33554432/33480783 || 385/384 ||

|| 2 || 1076168025/1073741824 || **33554432/33480783** || **385/384** ||

|| 3 || 1600000/1594323 || 3136/3125 || 3136/3125 ||

|| 3 || 1600000/1594323 || **3136/3125** || 3136/3125 ||

|| 4 || 15625/15552 || 225/224 || 225/224 ||

|| 4 || 15625/15552 || **225/224** || 225/224 ||

|| 5 || 2109375/2097152 || 2109375/2097152 || 176/175 ||

|| 5 || 2109375/2097152 || 2109375/2097152 || **176/175** ||

|| 6 || 393216/390625 || 393216/390625 || 2835/2816 ||

|| 6 || 393216/390625 || 393216/390625 || **2835/2816** ||

|| 7 || 78732/78125 || 126/125 || 121/120 ||

|| 7 || 78732/78125 || **126/125** || **121/120** ||

|| 8 || 129140163/128000000 || 33075/32768 || 15625/15488 ||

|| 8 || 129140163/128000000 || **33075/32768** || **15625/15488** ||

|| 9 || 67108864/66430125 || 67108864/66430125 || 99/98 ||

|| 9 || 67108864/66430125 || 67108864/66430125 || **99/98** ||

|| 10 || 2048/2025 || 2048/2025 || 2048/2025 ||

|| 11 || 81/80 || 81/80 || 81/80 ||

|| 12 || 531441/524288 || 531441/524288 || 1232/1215 ||

|| 12 || 531441/524288 || 531441/524288 || **1232/1215** ||

|| 13 || 131072000/129140163 || 2097152/2066715 || 625/616 ||

|| 13 || 131072000/129140163 || **2097152/2066715** || **625/616** ||

|| 14 || 20000/19683 || 64/63 || 64/63 ||

|| 14 || 20000/19683 || **64/63** || 64/63 ||

|| 15 || 3125/3072 || 3125/3072 || 3125/3072 ||

|| 16 || 34171875/33554432 || 34171875/33554432 || 55/54 ||

|| 16 || 34171875/33554432 || 34171875/33554432 || **55/54** ||

|| 17 || 1990656/1953125 || 28672/28125 || 28672/28125 ||

|| 17 || 1990656/1953125 || **28672/28125** || 28672/28125 ||

|| 18 || 1594323/1562500 || 49/48 || 49/48 ||

|| 18 || 1594323/1562500 || **49/48** || 49/48 ||

|| 19 || 48828125/47775744 || 234375/229376 || 8192/8019 ||

|| 19 || 48828125/47775744 || **234375/229376** || **8192/8019** ||

|| 20 || 4194304/4100625 || 4194304/4100625 || 45/44 ||

|| 20 || 4194304/4100625 || 4194304/4100625 || **45/44** ||

|| 21 || 128/125 || 128/125 || 128/125 ||

|| 22 || 6561/6400 || 525/512 || 525/512 ||

|| 22 || 6561/6400 || **525/512** || 525/512 ||

|| 23 || 43046721/41943040 || 17222625/16777216 || 77/75 ||

|| 24 || 1638400/1594323 || 131072/127575 || 10125/9856 ||

Line 640:

<td>32805/32768

</td>

<td>5632/5625

<td>5632/5625

</td>

</tr>

Line 648:

<td>1076168025/1073741824

</td>

<td>33554432/33480783

<td>33554432/33480783

</td>

<td>385/384

<td>385/384

</td>

</tr>

Line 658:

<td>1600000/1594323

</td>

<td>3136/3125

<td>3136/3125

</td>

<td>3136/3125

Line 668:

<td>15625/15552

</td>

<td>225/224

<td>225/224

</td>

<td>225/224

Line 680:

<td>2109375/2097152

</td>

<td>176/175

<td>176/175

</td>

</tr>

Line 690:

<td>393216/390625

</td>

<td>2835/2816

<td>2835/2816

</td>

</tr>

Line 698:

<td>78732/78125

</td>

<td>126/125

<td>126/125

</td>

<td>121/120

<td>121/120

</td>

</tr>

Line 708:

<td>129140163/128000000

</td>

<td>33075/32768

<td>33075/32768

</td>

<td>15625/15488

<td>15625/15488

</td>

</tr>

Line 720:

<td>67108864/66430125

</td>

<td>99/98

<td>99/98

</td>

</tr>

Line 750:

<td>531441/524288

</td>

<td>1232/1215

<td>1232/1215

</td>

</tr>

Line 758:

<td>131072000/129140163

</td>

<td>2097152/2066715

<td>2097152/2066715

</td>

<td>625/616

<td>625/616

</td>

</tr>

Line 768:

<td>20000/19683

</td>

<td>64/63

<td>64/63

</td>

<td>64/63

Line 790:

<td>34171875/33554432

</td>

<td>55/54

<td>55/54

</td>

</tr>

Line 798:

<td>1990656/1953125

</td>

<td>28672/28125

<td>28672/28125

</td>

<td>28672/28125

Line 808:

<td>1594323/1562500

</td>

<td>49/48

<td>49/48

</td>

<td>49/48

Line 818:

<td>48828125/47775744

</td>

<td>234375/229376

<td>234375/229376

</td>

<td>8192/8019

<td>8192/8019

</td>

</tr>

Line 830:

<td>4194304/4100625

</td>

<td>45/44

<td>45/44

</td>

</tr>

Line 848:

<td>6561/6400

</td>

<td>525/512

<td>525/512

</td>

<td>525/512

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-01-30 22:52:50 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2012-01-31 03:22:37 UTC</tt>.<br>
-: The original revision id was <tt>296866816</tt>.<br>
+: The original revision id was <tt>296898718</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>Suggestion: mark the specifically new ratios provided through the increment of the limit.</tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
 <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 ||
-|| 1 || 32805/32768 || 32805/32768 || 5632/5625 ||
+|| 1 || 32805/32768 || 32805/32768 || **5632/5625** ||
-|| 2 || 1076168025/1073741824 || 33554432/33480783 || 385/384 ||
+|| 2 || 1076168025/1073741824 || **33554432/33480783** || **385/384** ||
-|| 3 || 1600000/1594323 || 3136/3125 || 3136/3125 ||
+|| 3 || 1600000/1594323 || **3136/3125** || 3136/3125 ||
-|| 4 || 15625/15552 || 225/224 || 225/224 ||
+|| 4 || 15625/15552 || **225/224** || 225/224 ||
-|| 5 || 2109375/2097152 || 2109375/2097152 || 176/175 ||
+|| 5 || 2109375/2097152 || 2109375/2097152 || **176/175** ||
-|| 6 || 393216/390625 || 393216/390625 || 2835/2816 ||
+|| 6 || 393216/390625 || 393216/390625 || **2835/2816** ||
-|| 7 || 78732/78125 || 126/125 || 121/120 ||
+|| 7 || 78732/78125 || **126/125** || **121/120** ||
-|| 8 || 129140163/128000000 || 33075/32768 || 15625/15488 ||
+|| 8 || 129140163/128000000 || **33075/32768** || **15625/15488** ||
-|| 9 || 67108864/66430125 || 67108864/66430125 || 99/98 ||
+|| 9 || 67108864/66430125 || 67108864/66430125 || **99/98** ||
 || 10 || 2048/2025 || 2048/2025 || 2048/2025 ||
 || 11 || 81/80 || 81/80 || 81/80 ||
-|| 12 || 531441/524288 || 531441/524288 || 1232/1215 ||
+|| 12 || 531441/524288 || 531441/524288 || **1232/1215** ||
-|| 13 || 131072000/129140163 || 2097152/2066715 || 625/616 ||
+|| 13 || 131072000/129140163 || **2097152/2066715** || **625/616** ||
-|| 14 || 20000/19683 || 64/63 || 64/63 ||
+|| 14 || 20000/19683 || **64/63** || 64/63 ||
 || 15 || 3125/3072 || 3125/3072 || 3125/3072 ||
-|| 16 || 34171875/33554432 || 34171875/33554432 || 55/54 ||
+|| 16 || 34171875/33554432 || 34171875/33554432 || **55/54** ||
-|| 17 || 1990656/1953125 || 28672/28125 || 28672/28125 ||
+|| 17 || 1990656/1953125 || **28672/28125** || 28672/28125 ||
-|| 18 || 1594323/1562500 || 49/48 || 49/48 ||
+|| 18 || 1594323/1562500 || **49/48** || 49/48 ||
-|| 19 || 48828125/47775744 || 234375/229376 || 8192/8019 ||
+|| 19 || 48828125/47775744 || **234375/229376** || **8192/8019** ||
-|| 20 || 4194304/4100625 || 4194304/4100625 || 45/44 ||
+|| 20 || 4194304/4100625 || 4194304/4100625 || **45/44** ||
 || 21 || 128/125 || 128/125 || 128/125 ||
-|| 22 || 6561/6400 || 525/512 || 525/512 ||
+|| 22 || 6561/6400 || **525/512** || 525/512 ||
 || 23 || 43046721/41943040 || 17222625/16777216 || 77/75 ||
 || 24 || 1638400/1594323 || 131072/127575 || 10125/9856 ||
@@ Line 640: / Line 640: @@
          &lt;td&gt;32805/32768&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5632/5625&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;5632/5625&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 648: / Line 648: @@
          &lt;td&gt;1076168025/1073741824&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;33554432/33480783&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;33554432/33480783&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;385/384&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;385/384&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 658: / Line 658: @@
          &lt;td&gt;1600000/1594323&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3136/3125&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;3136/3125&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;3136/3125&lt;br /&gt;
@@ Line 668: / Line 668: @@
          &lt;td&gt;15625/15552&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;225/224&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;225/224&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;225/224&lt;br /&gt;
@@ Line 680: / Line 680: @@
          &lt;td&gt;2109375/2097152&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;176/175&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;176/175&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 690: / Line 690: @@
          &lt;td&gt;393216/390625&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2835/2816&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;2835/2816&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 698: / Line 698: @@
          &lt;td&gt;78732/78125&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;126/125&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;126/125&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;121/120&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;121/120&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 708: / Line 708: @@
          &lt;td&gt;129140163/128000000&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;33075/32768&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;33075/32768&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;15625/15488&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;15625/15488&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 720: / Line 720: @@
          &lt;td&gt;67108864/66430125&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;99/98&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;99/98&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 750: / Line 750: @@
          &lt;td&gt;531441/524288&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1232/1215&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;1232/1215&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 758: / Line 758: @@
          &lt;td&gt;131072000/129140163&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2097152/2066715&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;2097152/2066715&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;625/616&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;625/616&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 768: / Line 768: @@
          &lt;td&gt;20000/19683&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;64/63&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;64/63&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;64/63&lt;br /&gt;
@@ Line 790: / Line 790: @@
          &lt;td&gt;34171875/33554432&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;55/54&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;55/54&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 798: / Line 798: @@
          &lt;td&gt;1990656/1953125&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;28672/28125&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;28672/28125&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;28672/28125&lt;br /&gt;
@@ Line 808: / Line 808: @@
          &lt;td&gt;1594323/1562500&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;49/48&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;49/48&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;49/48&lt;br /&gt;
@@ Line 818: / Line 818: @@
          &lt;td&gt;48828125/47775744&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;234375/229376&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;234375/229376&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;8192/8019&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;8192/8019&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 830: / Line 830: @@
          &lt;td&gt;4194304/4100625&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;45/44&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;45/44&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 848: / Line 848: @@
          &lt;td&gt;6561/6400&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;525/512&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;525/512&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;525/512&lt;br /&gt;