17edo: Difference between revisions

Wikispaces>torridgristle
**Imported revision 622371423 - Original comment: **
Wikispaces>Stephen_Weigel
**Imported revision 627125445 - 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:torridgristle|torridgristle]] and made on <tt>2017-11-25 13:06:21 UTC</tt>.<br>
: This revision was by author [[User:Stephen_Weigel|Stephen_Weigel]] and made on <tt>2018-03-02 14:41:29 UTC</tt>.<br>
: The original revision id was <tt>622371423</tt>.<br>
: The original revision id was <tt>627125445</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 ||~ Cents ||~ Names of
||~ Degree ||~ Cents ||~ Names ofIntervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ ApproximateRatios* ||~ Temperament(s)generated ||
Intervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ Approximate
Ratios* ||~ Temperament(s)
generated ||
|| 0 || 0 || Unison ||= unison ||= P1 ||= C ||= 1/1 ||  ||
|| 0 || 0 || Unison ||= unison ||= P1 ||= C ||= 1/1 ||  ||
|| 1 || 70.59 || Super Unison/
|| 1 || 70.59 || Super Unison/Minor Second ||= minor 2nd ||= m2 ||= Db ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
Minor Second ||= minor 2nd ||= m2 ||= Db ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
|| 2 || 141.18 || Augmented Unison/Neutral Second ||= mid 2nd ||= ~2 ||= Dv ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
|| 2 || 141.18 || Augmented Unison/
|| 3 || 211.765 || Major Second/Sub Third ||= major 2nd ||= M2 ||= D ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
Neutral Second ||= mid 2nd ||= ~2 ||= Dv ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
|| 4 || 282.35 || Minor Third/Super Second ||= minor 3rd ||= m3 ||= Eb ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
|| 3 || 211.765 || Major Second/
|| 5 || 352.94 || Augmented Second/Neutral Third/Diminished Fourth ||= mid 3rd ||= ~3 ||= Ev ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
Sub Third ||= major 2nd ||= M2 ||= D ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
|| 6 || 423.53 || Major Third/Sub Fourth ||= major 3rd ||= M3 ||= E ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
|| 4 || 282.35 || Minor Third/
Super Second ||= minor 3rd ||= m3 ||= Eb ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
|| 5 || 352.94 || Augmented Second/
Neutral Third/
Diminished Fourth ||= mid 3rd ||= ~3 ||= Ev ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
|| 6 || 423.53 || Major Third/
Sub Fourth ||= major 3rd ||= M3 ||= E ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
|| 7 || 494.11 || Perfect Fourth ||= perfect 4th ||= P4 ||= F ||= [[4_3|4/3]] || [[Supra]] ||
|| 7 || 494.11 || Perfect Fourth ||= perfect 4th ||= P4 ||= F ||= [[4_3|4/3]] || [[Supra]] ||
|| 8 || 564.71 || Super Fourth
|| 8 || 564.71 || Super FourthDiminished Fifth ||= up 4th,diminished 5th ||= ^4, d5 ||= F^, Gb ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
Diminished Fifth ||= up 4th,
|| 9 || 635.29 || Augmented Fourth/Sub Fifth ||= augmented 4th,down 5th ||= A4, v5 ||= F#, Gv ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
diminished 5th ||= ^4, d5 ||= F^, Gb ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
|| 9 || 635.29 || Augmented Fourth/
Sub Fifth ||= augmented 4th,
down 5th ||= A4, v5 ||= F#, Gv ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
|| 10 || 705.88 || Perfect Fifth ||= perfect 5th ||= P5 ||= G ||= [[3_2|3/2]] || Supra ||
|| 10 || 705.88 || Perfect Fifth ||= perfect 5th ||= P5 ||= G ||= [[3_2|3/2]] || Supra ||
|| 11 || 776.47 || Super Fifth/
|| 11 || 776.47 || Super Fifth/Minor Sixth ||= minor 6th ||= m6 ||= Ab ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
Minor Sixth ||= minor 6th ||= m6 ||= Ab ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
|| 12 || 847.06 || Augmented Fifth/Neutral Sixth/Diminished Seventh ||= mid 6th ||= ~6 ||= Av ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
|| 12 || 847.06 || Augmented Fifth/
|| 13 || 917.65 || Major Sixth/Sub Seventh ||= major 6th ||= M6 ||= A ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
Neutral Sixth/
|| 14 || 988.235 || Minor Seventh/Super Sixth ||= minor 7th ||= m7 ||= Bb ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
Diminished Seventh ||= mid 6th ||= ~6 ||= Av ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
|| 15 || 1058.82 || Augmented Sixth/Neutral Seventh/Diminished Octave ||= mid 7th ||= ~7 ||= Bv ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
|| 13 || 917.65 || Major Sixth/
|| 16 || 1129.41 || Major Seventh/Sub Octave ||= major 7th ||= M7 ||= B ||= 25/13, 48/25, 64/33 ||  ||
Sub Seventh ||= major 6th ||= M6 ||= A ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
|| 14 || 988.235 || Minor Seventh/
Super Sixth ||= minor 7th ||= m7 ||= Bb ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
|| 15 || 1058.82 || Augmented Sixth/
Neutral Seventh/
Diminished Octave ||= mid 7th ||= ~7 ||= Bv ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
|| 16 || 1129.41 || Major Seventh/
Sub Octave ||= major 7th ||= M7 ||= B ||= 25/13, 48/25, 64/33 ||  ||
|| 17 || 1200 || Perfect Octave ||= octave ||= P8 ||= C ||= [[2_1|2/1]] ||  ||
|| 17 || 1200 || Perfect Octave ||= octave ||= P8 ||= C ||= [[2_1|2/1]] ||  ||
Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors:
Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors:
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         &lt;th&gt;Cents&lt;br /&gt;
         &lt;th&gt;Cents&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Names of&lt;br /&gt;
         &lt;th&gt;Names ofIntervals&lt;br /&gt;
Intervals&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th colspan="3"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs &lt;/a&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;notation&lt;/a&gt;&lt;br /&gt;
         &lt;th colspan="3"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs &lt;/a&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;notation&lt;/a&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Approximate&lt;br /&gt;
         &lt;th&gt;ApproximateRatios*&lt;br /&gt;
Ratios*&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Temperament(s)&lt;br /&gt;
         &lt;th&gt;Temperament(s)generated&lt;br /&gt;
generated&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;70.59&lt;br /&gt;
         &lt;td&gt;70.59&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Super Unison/&lt;br /&gt;
         &lt;td&gt;Super Unison/Minor Second&lt;br /&gt;
Minor Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;minor 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 2nd&lt;br /&gt;
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         &lt;td&gt;141.18&lt;br /&gt;
         &lt;td&gt;141.18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Unison/&lt;br /&gt;
         &lt;td&gt;Augmented Unison/Neutral Second&lt;br /&gt;
Neutral Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;mid 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 2nd&lt;br /&gt;
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         &lt;td&gt;211.765&lt;br /&gt;
         &lt;td&gt;211.765&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Second/&lt;br /&gt;
         &lt;td&gt;Major Second/Sub Third&lt;br /&gt;
Sub Third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;major 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 2nd&lt;br /&gt;
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         &lt;td&gt;282.35&lt;br /&gt;
         &lt;td&gt;282.35&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Minor Third/&lt;br /&gt;
         &lt;td&gt;Minor Third/Super Second&lt;br /&gt;
Super Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;minor 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 3rd&lt;br /&gt;
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         &lt;td&gt;352.94&lt;br /&gt;
         &lt;td&gt;352.94&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Second/&lt;br /&gt;
         &lt;td&gt;Augmented Second/Neutral Third/Diminished Fourth&lt;br /&gt;
Neutral Third/&lt;br /&gt;
Diminished Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;mid 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 3rd&lt;br /&gt;
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         &lt;td&gt;423.53&lt;br /&gt;
         &lt;td&gt;423.53&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Third/&lt;br /&gt;
         &lt;td&gt;Major Third/Sub Fourth&lt;br /&gt;
Sub Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;major 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 3rd&lt;br /&gt;
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         &lt;td&gt;564.71&lt;br /&gt;
         &lt;td&gt;564.71&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Super Fourth&lt;br /&gt;
         &lt;td&gt;Super FourthDiminished Fifth&lt;br /&gt;
Diminished Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;up 4th,&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;up 4th,diminished 5th&lt;br /&gt;
diminished 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;^4, d5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;^4, d5&lt;br /&gt;
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         &lt;td&gt;635.29&lt;br /&gt;
         &lt;td&gt;635.29&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Fourth/&lt;br /&gt;
         &lt;td&gt;Augmented Fourth/Sub Fifth&lt;br /&gt;
Sub Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;augmented 4th,&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;augmented 4th,down 5th&lt;br /&gt;
down 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A4, v5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A4, v5&lt;br /&gt;
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         &lt;td&gt;776.47&lt;br /&gt;
         &lt;td&gt;776.47&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Super Fifth/&lt;br /&gt;
         &lt;td&gt;Super Fifth/Minor Sixth&lt;br /&gt;
Minor Sixth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;minor 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 6th&lt;br /&gt;
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         &lt;td&gt;847.06&lt;br /&gt;
         &lt;td&gt;847.06&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Fifth/&lt;br /&gt;
         &lt;td&gt;Augmented Fifth/Neutral Sixth/Diminished Seventh&lt;br /&gt;
Neutral Sixth/&lt;br /&gt;
Diminished Seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;mid 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 6th&lt;br /&gt;
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         &lt;td&gt;917.65&lt;br /&gt;
         &lt;td&gt;917.65&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Sixth/&lt;br /&gt;
         &lt;td&gt;Major Sixth/Sub Seventh&lt;br /&gt;
Sub Seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;major 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 6th&lt;br /&gt;
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         &lt;td&gt;988.235&lt;br /&gt;
         &lt;td&gt;988.235&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Minor Seventh/&lt;br /&gt;
         &lt;td&gt;Minor Seventh/Super Sixth&lt;br /&gt;
Super Sixth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;minor 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 7th&lt;br /&gt;
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         &lt;td&gt;1058.82&lt;br /&gt;
         &lt;td&gt;1058.82&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Sixth/&lt;br /&gt;
         &lt;td&gt;Augmented Sixth/Neutral Seventh/Diminished Octave&lt;br /&gt;
Neutral Seventh/&lt;br /&gt;
Diminished Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;mid 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 7th&lt;br /&gt;
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         &lt;td&gt;1129.41&lt;br /&gt;
         &lt;td&gt;1129.41&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Seventh/&lt;br /&gt;
         &lt;td&gt;Major Seventh/Sub Octave&lt;br /&gt;
Sub Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;major 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 7th&lt;br /&gt;