17edo: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 597432310 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 597501436 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-29 01:25:03 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 16:48:46 UTC</tt>.<br>
: The original revision id was <tt>597432310</tt>.<br>
: The original revision id was <tt>597501436</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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=Intervals=  
=Intervals=  
||~ Degree ||~ Names of Intervals ||~ Cents
||~ Degree ||~ Names of Intervals ||~ Cents (coarse/fine(
DMS ||~ Approximate
DMS ||~ Approximate
Ratios* ||~ Temperament(s)
Ratios* ||~ Temperament(s)
Line 30: Line 30:
|| 0 || Unison || 0 ||= 1/1 ||  ||
|| 0 || Unison || 0 ||= 1/1 ||  ||
|| 1 || Super Unison/
|| 1 || Super Unison/
Minor Second || 70.59
Minor Second || 70.59, 84.71
21°10'35" ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
21°10'35" ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
|| 2 || Augmented Unison/
|| 2 || Augmented Unison/
Neutral Second || 141.18
Neutral Second || 141.18, 169.41
42°21'11" ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
42°21'11" ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
|| 3 || Major Second/
|| 3 || Major Second/
Sub Third || 211.76
Sub Third || 211.765, 254.11
63°31'46" ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
63°31'46" ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
|| 4 || Minor Third/
|| 4 || Minor Third/
Super Second || 282.35
Super Second || 282.35, 338.82
84°42'21" ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
84°42'21" ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
|| 5 || Augmented Second/
|| 5 || Augmented Second/
Neutral Third/
Neutral Third/
Diminished Fourth || 352.94
Diminished Fourth || 352.94, 423.53
105°52'56" ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
105°52'56" ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
|| 6 || Major Third/
|| 6 || Major Third/
Sub Fourth || 423.53
Sub Fourth || 423.53, 508.235
127°3'32" ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
127°3'32" ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
|| 7 || Perfect Fourth || 494.12
|| 7 || Perfect Fourth || 494.11, 592.94
148°14'7" ||= [[4_3|4/3]] || [[Supra]] ||
148°14'7" ||= [[4_3|4/3]] || [[Supra]] ||
|| 8 || Super Fourth
|| 8 || Super Fourth
Diminished Fifth || 564.71
Diminished Fifth || 564.71, 677.65
169°24'42" ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
169°24'42" ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
|| 9 || Augmented Fourth/
|| 9 || Augmented Fourth/
Sub Fifth || 635.294
Sub Fifth || 635.29, 762.35
190°35'18" ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
190°35'18" ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
|| 10 || Perfect Fifth || 705.88
|| 10 || Perfect Fifth || 705.88, 847.06
211°45'53" ||= [[3_2|3/2]] || Supra ||
211°45'53" ||= [[3_2|3/2]] || Supra ||
|| 11 || Super Fifth/
|| 11 || Super Fifth/
Minor Sixth || 776.47
Minor Sixth || 776.47, 931.765
233°58'28" ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
233°58'28" ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
|| 12 || Augmented Fifth/
|| 12 || Augmented Fifth/
Neutral Sixth/
Neutral Sixth/
Diminished Seventh || 847.06
Diminished Seventh || 847.06, 1016.47
254°7'4" ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
254°7'4" ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
|| 13 || Major Sixth/
|| 13 || Major Sixth/
Sub Seventh || 917.65
Sub Seventh || 917.65, 1101.18
275°17'39" ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
275°17'39" ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
|| 14 || Minor Seventh/
|| 14 || Minor Seventh/
Super Sixth || 988.24
Super Sixth || 988.235, 1185.89
296°28'14" ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
296°28'14" ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
|| 15 || Augmented Sixth/
|| 15 || Augmented Sixth/
Neutral Seventh/
Neutral Seventh/
Diminished Octave || 1058.82
Diminished Octave || 1058.82, 1270.59
317°38'49" ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
317°38'49" ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
|| 16 || Major Seventh/
|| 16 || Major Seventh/
Sub Octave || 1129.41
Sub Octave || 1129.41, 1355.29
338°49'15" ||= 25/13, 48/25, 64/33 ||  ||
338°49'15" ||= 25/13, 48/25, 64/33 ||  ||
|| 17 || Perfect Octave || 1200
|| 17 || Perfect Octave || 1200, 1440
360° ||= [[2_1|2/1]] ||  ||
360° ||= [[2_1|2/1]] ||  ||


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||= 245/243 ||&lt; | 0 -5 1 2 &gt; ||&gt; 14.191 ||= Sensamagic ||=  ||=  ||
||= 245/243 ||&lt; | 0 -5 1 2 &gt; ||&gt; 14.191 ||= Sensamagic ||=  ||=  ||
||= 1728/1715 ||&lt; | 6 3 -1 -3 &gt; ||&gt; 13.074 ||= Orwellisma ||= Orwell Comma ||=  ||
||= 1728/1715 ||&lt; | 6 3 -1 -3 &gt; ||&gt; 13.074 ||= Orwellisma ||= Orwell Comma ||=  ||
||= 420175/419904 ||&lt; | -6 -8 2 5 &gt; ||&gt; 1.1170 ||= Wizma ||=  ||=  ||
||= [[tel:420175/419904|420175/419904]] ||&lt; | -6 -8 2 5 &gt; ||&gt; 1.1170 ||= Wizma ||=  ||=  ||
||= 99/98 ||&lt; | -1 2 0 -2 1 &gt; ||&gt; 17.576 ||= Mothwellsma ||=  ||=  ||
||= 99/98 ||&lt; | -1 2 0 -2 1 &gt; ||&gt; 17.576 ||= Mothwellsma ||=  ||=  ||
||= 896/891 ||&lt; | 7 -4 0 1 -1 &gt; ||&gt; 9.6880 ||= Pentacircle ||=  ||=  ||
||= 896/891 ||&lt; | 7 -4 0 1 -1 &gt; ||&gt; 9.6880 ||= Pentacircle ||=  ||=  ||
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         &lt;th&gt;Names of Intervals&lt;br /&gt;
         &lt;th&gt;Names of Intervals&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Cents&lt;br /&gt;
         &lt;th&gt;Cents (coarse/fine(&lt;br /&gt;
DMS&lt;br /&gt;
DMS&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
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Minor Second&lt;br /&gt;
Minor Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;70.59&lt;br /&gt;
         &lt;td&gt;70.59, 84.71&lt;br /&gt;
21°10'35&amp;quot;&lt;br /&gt;
21°10'35&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Neutral Second&lt;br /&gt;
Neutral Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;141.18&lt;br /&gt;
         &lt;td&gt;141.18, 169.41&lt;br /&gt;
42°21'11&amp;quot;&lt;br /&gt;
42°21'11&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Sub Third&lt;br /&gt;
Sub Third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;211.76&lt;br /&gt;
         &lt;td&gt;211.765, 254.11&lt;br /&gt;
63°31'46&amp;quot;&lt;br /&gt;
63°31'46&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Super Second&lt;br /&gt;
Super Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;282.35&lt;br /&gt;
         &lt;td&gt;282.35, 338.82&lt;br /&gt;
84°42'21&amp;quot;&lt;br /&gt;
84°42'21&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Diminished Fourth&lt;br /&gt;
Diminished Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;352.94&lt;br /&gt;
         &lt;td&gt;352.94, 423.53&lt;br /&gt;
105°52'56&amp;quot;&lt;br /&gt;
105°52'56&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Sub Fourth&lt;br /&gt;
Sub Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;423.53&lt;br /&gt;
         &lt;td&gt;423.53, 508.235&lt;br /&gt;
127°3'32&amp;quot;&lt;br /&gt;
127°3'32&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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         &lt;td&gt;Perfect Fourth&lt;br /&gt;
         &lt;td&gt;Perfect Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;494.12&lt;br /&gt;
         &lt;td&gt;494.11, 592.94&lt;br /&gt;
148°14'7&amp;quot;&lt;br /&gt;
148°14'7&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Diminished Fifth&lt;br /&gt;
Diminished Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;564.71&lt;br /&gt;
         &lt;td&gt;564.71, 677.65&lt;br /&gt;
169°24'42&amp;quot;&lt;br /&gt;
169°24'42&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Sub Fifth&lt;br /&gt;
Sub Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;635.294&lt;br /&gt;
         &lt;td&gt;635.29, 762.35&lt;br /&gt;
190°35'18&amp;quot;&lt;br /&gt;
190°35'18&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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         &lt;td&gt;Perfect Fifth&lt;br /&gt;
         &lt;td&gt;Perfect Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;705.88&lt;br /&gt;
         &lt;td&gt;705.88, 847.06&lt;br /&gt;
211°45'53&amp;quot;&lt;br /&gt;
211°45'53&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Minor Sixth&lt;br /&gt;
Minor Sixth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;776.47&lt;br /&gt;
         &lt;td&gt;776.47, 931.765&lt;br /&gt;
233°58'28&amp;quot;&lt;br /&gt;
233°58'28&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Diminished Seventh&lt;br /&gt;
Diminished Seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;847.06&lt;br /&gt;
         &lt;td&gt;847.06, 1016.47&lt;br /&gt;
254°7'4&amp;quot;&lt;br /&gt;
254°7'4&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Sub Seventh&lt;br /&gt;
Sub Seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;917.65&lt;br /&gt;
         &lt;td&gt;917.65, 1101.18&lt;br /&gt;
275°17'39&amp;quot;&lt;br /&gt;
275°17'39&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Super Sixth&lt;br /&gt;
Super Sixth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;988.24&lt;br /&gt;
         &lt;td&gt;988.235, 1185.89&lt;br /&gt;
296°28'14&amp;quot;&lt;br /&gt;
296°28'14&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Diminished Octave&lt;br /&gt;
Diminished Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1058.82&lt;br /&gt;
         &lt;td&gt;1058.82, 1270.59&lt;br /&gt;
317°38'49&amp;quot;&lt;br /&gt;
317°38'49&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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Sub Octave&lt;br /&gt;
Sub Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1129.41&lt;br /&gt;
         &lt;td&gt;1129.41, 1355.29&lt;br /&gt;
338°49'15&amp;quot;&lt;br /&gt;
338°49'15&amp;quot;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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         &lt;td&gt;Perfect Octave&lt;br /&gt;
         &lt;td&gt;Perfect Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1200&lt;br /&gt;
         &lt;td&gt;1200, 1440&lt;br /&gt;
360°&lt;br /&gt;
360°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td style="text-align: center;"&gt;420175/419904&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;[[tel:420175/419904|420175/419904]]&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;| -6 -8 2 5 &amp;gt;&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;| -6 -8 2 5 &amp;gt;&lt;br /&gt;