Tuning systems for qanun: 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:hstraub|hstraub]] and made on <tt>2011-08-24 07:10:46 UTC</tt>.

: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-24 07:31:34 UTC</tt>.

: The original revision id was <tt>~~248120655~~</tt>.

: The original revision id was <tt>248122993</tt>.

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

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

Line 43:

Interval table of just intervals (ascending, descending):

|| 1/1 || 81/80 || 49/48 || 1053/1024 || 729/704 || 2673/2560 || 135/128 || 2187/2048 ||

|| 1/1 || 81/80 || **49/48** || **1053/1024** || **729/704** || **2673/2560** || 135/128 || 2187/2048 ||

|| 256/243 || 16/15 || 784/729, 128/119, 43/40 (asc.)

|| 256/243 || 16/15 || **784/729, 128/119, 43/40 (asc.)**

320/297 (desc.) || 13/12 (asc.)

**320/297 (desc.)** || **13/12 (asc.)**

88/81 (desc.) || 12/11 (asc.)

**88/81 (desc.)** || **12/11 (asc.)**

128/117 (desc.) || 11/10, 208/189 (asc.)

**128/117 (desc.)** || **11/10, 208/189 (asc.)**

54/49 (desc.) || 10/9 || 9/8 ||

**54/49 (desc.)** || 10/9 || 9/8 ||

|| 32/27 || 6/5 || 98/81 (asc.)

|| 32/27 || 6/5 || **98/81 (asc.)**

40/33 (desc.) || 39/32 (asc.)

**40/33 (desc.)** || **39/32 (asc.)**

11/9 (desc.) || 27/22 (asc.)

**11/9 (desc.)** || **27/22 (asc.)**

16/13 (desc.) || 99/80, 26/21 (asc.)

**16/13 (desc.)** || **99/80, 26/21 (asc.)**

243/196, XXX (desc.) || 5/4 || 81/64 ||

**243/196, XXX (desc.)** || 5/4 || 81/64 ||

|| 8192/6581 || XXX || 25088/19683 || 104/81 || XXX || 176/135 || 320/243 || 4/3 ||

|| 8192/6581 || XXX || **25088/19683** || **104/81** || **XXX** || **176/135** || 320/243 || 4/3 ||

|| XXX || 27/20 || 351/258 || XXX || 243/176 || 891/640 || 45/32 || 729/512 ||

|| XXX || 27/20 || **351/258** || **XXX** || **243/176** || **891/640** || 45/32 || 729/512 ||

==Variant with 128/119==

Line 132:

Interval table of just intervals (ascending, descending):

|| 1/1 || 81/80 || || || || || 135/128 || 2187/2048 ||

|| 256/243 || 16/15 || 100/93 (asc.)

|| 256/243 || 16/15 || **100/93 (asc.)**

242/225 (desc.) || 400/369 (asc.)

**242/225 (desc.)** || **400/369 (asc.)**

248/225 (desc.) || 200/183 (asc.)

**248/225 (desc.)** || **200/183 (asc.)**

82/75 (desc.) || 400/363 (asc.)

**82/75 (desc.)** || **400/363 (asc.)**

248/225 (desc.) || 10/9 || 9/8 ||

**248/225 (desc.)** || 10/9 || 9/8 ||

|| 32/27 || 6/5 || 75/62 (asc.)

|| 32/27 || 6/5 || **75/62 (asc.)**

121/100 (desc.) || 50/41 (asc.)

**121/100 (desc.)** || **50/41 (asc.)**

61/50 (desc.) || 75/61 (asc.)

**61/50 (desc.)** || **75/61 (asc.)**

49/40 (desc.) || 150/121 (asc.)

**49/40 (desc.)** || **150/121 (asc.)**

31/25 (desc.) || 5/4 || 81/64 ||

**31/25 (desc.)** || 5/4 || 81/64 ||

===Ascending/descending with 54/49===

Line 342:

<td>81/80

</td>

<td>49/48

<td>49/48

</td>

<td>1053/1024

<td>1053/1024

</td>

<td>729/704

<td>729/704

</td>

<td>2673/2560

<td>2673/2560

</td>

<td>135/128

Line 360:

<td>16/15

</td>

<td>784/729, 128/119, 43/40 (asc.)

<td>784/729, 128/119, 43/40 (asc.)

320/297 (desc.)

320/297 (desc.)

</td>

<td>13/12 (asc.)

<td>13/12 (asc.)

88/81 (desc.)

88/81 (desc.)

</td>

<td>12/11 (asc.)

<td>12/11 (asc.)

128/117 (desc.)

128/117 (desc.)

</td>

<td>11/10, 208/189 (asc.)

<td>11/10, 208/189 (asc.)

54/49 (desc.)

54/49 (desc.)

</td>

<td>10/9

Line 382:

<td>6/5

</td>

<td>98/81 (asc.)

<td>98/81 (asc.)

40/33 (desc.)

40/33 (desc.)

</td>

<td>39/32 (asc.)

<td>39/32 (asc.)

11/9 (desc.)

11/9 (desc.)

</td>

<td>27/22 (asc.)

<td>27/22 (asc.)

16/13 (desc.)

16/13 (desc.)

</td>

<td>99/80, 26/21 (asc.)

<td>99/80, 26/21 (asc.)

243/196, XXX (desc.)

243/196, XXX (desc.)

</td>

<td>5/4

Line 404:

<td>XXX

</td>

<td>25088/19683

<td>25088/19683

</td>

<td>104/81

<td>104/81

</td>

<td>XXX

<td>XXX

</td>

<td>176/135

<td>176/135

</td>

<td>320/243

Line 422:

<td>27/20

</td>

<td>351/258

<td>351/258

</td>

<td>XXX

<td>XXX

</td>

<td>243/176

<td>243/176

</td>

<td>891/640

<td>891/640

</td>

<td>45/32

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<td>16/15

</td>

<td>100/93 (asc.)

<td>100/93 (asc.)

242/225 (desc.)

242/225 (desc.)

</td>

<td>400/369 (asc.)

<td>400/369 (asc.)

248/225 (desc.)

248/225 (desc.)

</td>

<td>200/183 (asc.)

<td>200/183 (asc.)

82/75 (desc.)

82/75 (desc.)

</td>

<td>400/363 (asc.)

<td>400/363 (asc.)

248/225 (desc.)

248/225 (desc.)

</td>

<td>10/9

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<td>6/5

</td>

<td>75/62 (asc.)

<td>75/62 (asc.)

121/100 (desc.)

121/100 (desc.)

</td>

<td>50/41 (asc.)

<td>50/41 (asc.)

61/50 (desc.)

61/50 (desc.)

</td>

<td>75/61 (asc.)

<td>75/61 (asc.)

49/40 (desc.)

49/40 (desc.)

</td>

<td>150/121 (asc.)

<td>150/121 (asc.)

31/25 (desc.)

31/25 (desc.)

</td>

<td>5/4

@@ 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:hstraub|hstraub]] and made on <tt>2011-08-24 07:10:46 UTC</tt>.<br>
+: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-08-24 07:31:34 UTC</tt>.<br>
-: The original revision id was <tt>248120655</tt>.<br>
+: The original revision id was <tt>248122993</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 43: / Line 43: @@
 Interval table of just intervals (ascending, descending):
-|| 1/1 || 81/80 || 49/48 || 1053/1024 || 729/704 || 2673/2560 || 135/128 || 2187/2048 ||
+|| 1/1 || 81/80 || **49/48** || **1053/1024** || **729/704** || **2673/2560** || 135/128 || 2187/2048 ||
-|| 256/243 || 16/15 || 784/729, 128/119, 43/40 (asc.)
+|| 256/243 || 16/15 || **784/729, 128/119, 43/40 (asc.)**
-/297 (desc.) || 13/12 (asc.)
+**320/297 (desc.)** || **13/12 (asc.)**
-/81 (desc.) || 12/11 (asc.)
+**88/81 (desc.)** || **12/11 (asc.)**
-/117 (desc.) || 11/10, 208/189 (asc.)
+**128/117 (desc.)** || **11/10, 208/189 (asc.)**
-/49 (desc.) || 10/9 || 9/8 ||
+**54/49 (desc.)** || 10/9 || 9/8 ||
-|| 32/27 || 6/5 || 98/81 (asc.)
+|| 32/27 || 6/5 || **98/81 (asc.)**
-/33 (desc.) || 39/32 (asc.)
+**40/33 (desc.)** || **39/32 (asc.)**
-/9 (desc.) || 27/22 (asc.)
+**11/9 (desc.)** || **27/22 (asc.)**
-/13 (desc.) || 99/80, 26/21 (asc.)
+**16/13 (desc.)** || **99/80, 26/21 (asc.)**
-/196, XXX (desc.) || 5/4 || 81/64 ||
+**243/196, XXX (desc.)** || 5/4 || 81/64 ||
-|| 8192/6581 || XXX || 25088/19683 || 104/81 || XXX || 176/135 || 320/243 || 4/3 ||
+|| 8192/6581 || XXX || **25088/19683** || **104/81** || **XXX** || **176/135** || 320/243 || 4/3 ||
-|| XXX || 27/20 || 351/258 || XXX || 243/176 || 891/640 || 45/32 || 729/512 ||
+|| XXX || 27/20 || **351/258** || **XXX** || **243/176** || **891/640** || 45/32 || 729/512 ||
 ==Variant with 128/119==
@@ Line 132: / Line 132: @@
 Interval table of just intervals (ascending, descending):
 || 1/1 || 81/80 ||   ||   ||   ||   || 135/128 || 2187/2048 ||
-|| 256/243 || 16/15 || 100/93 (asc.)
+|| 256/243 || 16/15 || **100/93 (asc.)**
-/225 (desc.) || 400/369 (asc.)
+**242/225 (desc.)** || **400/369 (asc.)**
-/225 (desc.) || 200/183 (asc.)
+**248/225 (desc.)** || **200/183 (asc.)**
-/75 (desc.) || 400/363 (asc.)
+**82/75 (desc.)** || **400/363 (asc.)**
-/225 (desc.) || 10/9 || 9/8 ||
+**248/225 (desc.)** || 10/9 || 9/8 ||
-|| 32/27 || 6/5 || 75/62 (asc.)
+|| 32/27 || 6/5 || **75/62 (asc.)**
-/100 (desc.) || 50/41 (asc.)
+**121/100 (desc.)** || **50/41 (asc.)**
-/50 (desc.) || 75/61 (asc.)
+**61/50 (desc.)** || **75/61 (asc.)**
-/40 (desc.) || 150/121 (asc.)
+**49/40 (desc.)** || **150/121 (asc.)**
-/25 (desc.) || 5/4 || 81/64 ||
+**31/25 (desc.)** || 5/4 || 81/64 ||
 ===Ascending/descending with 54/49===
@@ Line 342: / Line 342: @@
          &lt;td&gt;81/80&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;1053/1024&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;1053/1024&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;729/704&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;729/704&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2673/2560&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;2673/2560&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;135/128&lt;br /&gt;
@@ Line 360: / Line 360: @@
          &lt;td&gt;16/15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;784/729, 128/119, 43/40 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;784/729, 128/119, 43/40 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/297 (desc.)&lt;br /&gt;
+&lt;strong&gt;320/297 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;13/12 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;13/12 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/81 (desc.)&lt;br /&gt;
+&lt;strong&gt;88/81 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;12/11 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;12/11 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/117 (desc.)&lt;br /&gt;
+&lt;strong&gt;128/117 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11/10, 208/189 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;11/10, 208/189 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/49 (desc.)&lt;br /&gt;
+&lt;strong&gt;54/49 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;10/9&lt;br /&gt;
@@ Line 382: / Line 382: @@
          &lt;td&gt;6/5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;98/81 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;98/81 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/33 (desc.)&lt;br /&gt;
+&lt;strong&gt;40/33 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;39/32 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;39/32 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/9 (desc.)&lt;br /&gt;
+&lt;strong&gt;11/9 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;27/22 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;27/22 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/13 (desc.)&lt;br /&gt;
+&lt;strong&gt;16/13 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;99/80, 26/21 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;99/80, 26/21 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/196, XXX (desc.)&lt;br /&gt;
+&lt;strong&gt;243/196, XXX (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;5/4&lt;br /&gt;
@@ Line 404: / Line 404: @@
          &lt;td&gt;XXX&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;25088/19683&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;25088/19683&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;104/81&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;104/81&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;XXX&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;XXX&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;176/135&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;176/135&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;320/243&lt;br /&gt;
@@ Line 422: / Line 422: @@
          &lt;td&gt;27/20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;351/258&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;351/258&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;XXX&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;XXX&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;243/176&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;243/176&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;891/640&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;891/640&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;45/32&lt;br /&gt;
@@ Line 706: / Line 706: @@
          &lt;td&gt;16/15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;100/93 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;100/93 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/225 (desc.)&lt;br /&gt;
+&lt;strong&gt;242/225 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;400/369 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;400/369 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/225 (desc.)&lt;br /&gt;
+&lt;strong&gt;248/225 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;200/183 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;200/183 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/75 (desc.)&lt;br /&gt;
+&lt;strong&gt;82/75 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;400/363 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;400/363 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/225 (desc.)&lt;br /&gt;
+&lt;strong&gt;248/225 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;10/9&lt;br /&gt;
@@ Line 728: / Line 728: @@
          &lt;td&gt;6/5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;75/62 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;75/62 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/100 (desc.)&lt;br /&gt;
+&lt;strong&gt;121/100 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;50/41 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;50/41 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/50 (desc.)&lt;br /&gt;
+&lt;strong&gt;61/50 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;75/61 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;75/61 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/40 (desc.)&lt;br /&gt;
+&lt;strong&gt;49/40 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;150/121 (asc.)&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;150/121 (asc.)&lt;/strong&gt;&lt;br /&gt;
-/25 (desc.)&lt;br /&gt;
+&lt;strong&gt;31/25 (desc.)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;5/4&lt;br /&gt;