17edo: Difference between revisions

Wikispaces>TallKite
**Imported revision 599947404 - Original comment: **
Wikispaces>TallKite
**Imported revision 599959364 - Original comment: **
Line 1: Line 1:
<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:TallKite|TallKite]] and made on <tt>2016-11-21 04:15:18 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-21 06:56:49 UTC</tt>.<br>
: The original revision id was <tt>599947404</tt>.<br>
: The original revision id was <tt>599959364</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>
Line 24: Line 24:


=Intervals=  
=Intervals=  
||~ Degree ||~ Names of  
||~ Degree ||~ Names of
Intervals ||~ [[Ups and Downs Notation|up/down ]]
Intervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ Cents (coarse/fine) ||~ Approximate
[[Ups and Downs Notation|name]] ||~ note
names ||~ Cents (coarse/fine) ||~ Approximate
Ratios* ||~ Temperament(s)
Ratios* ||~ Temperament(s)
generated ||
generated ||
|| 0 || Unison || unison || C || 0 ||= 1/1 ||  ||
|| 0 || Unison || unison || P1 ||= C || 0 ||= 1/1 ||  ||
|| 1 || Super Unison/
|| 1 || Super Unison/
Minor Second || min 2nd || Db || 70.59, 84.71 ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
Minor Second || min 2nd || m2 ||= Db || 70.59, 84.71 ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
|| 2 || Augmented Unison/
|| 2 || Augmented Unison/
Neutral Second || mid 2nd || Dv || 141.18, 169.41 ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
Neutral Second || mid 2nd || ~2 ||= Dv || 141.18, 169.41 ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
|| 3 || Major Second/
|| 3 || Major Second/
Sub Third || maj 2nd || D || 211.765, 254.11 ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
Sub Third || maj 2nd || M2 ||= D || 211.765, 254.11 ||= [[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 || min 3rd || Eb || 282.35, 338.82 ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
Super Second || min 3rd || m3 ||= Eb || 282.35, 338.82 ||= [[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 || mid 3rd || Ev || 352.94, 423.53 ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
Diminished Fourth || mid 3rd || ~3 ||= Ev || 352.94, 423.53 ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
|| 6 || Major Third/
|| 6 || Major Third/
Sub Fourth || maj 3rd || E || 423.53, 508.235 ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
Sub Fourth || maj 3rd || M3 ||= E || 423.53, 508.235 ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
|| 7 || Perfect Fourth || perf 4th || F || 494.11, 592.94 ||= [[4_3|4/3]] || [[Supra]] ||
|| 7 || Perfect Fourth || perf 4th || P4 ||= F || 494.11, 592.94 ||= [[4_3|4/3]] || [[Supra]] ||
|| 8 || Super Fourth
|| 8 || Super Fourth
Diminished Fifth || up 4th,
Diminished Fifth || up 4th,
dim 5th || F^,  
dim 5th || ^4, d5 ||= F^, Gb || 564.71, 677.65 ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
Gb || 564.71, 677.65 ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
|| 9 || Augmented Fourth/
|| 9 || Augmented Fourth/
Sub Fifth || aug 4th,
Sub Fifth || aug 4th,
down 5th || F#,
down 5th || A4, v5 ||= F#, Gv || 635.29, 762.35 ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
Gv || 635.29, 762.35 ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
|| 10 || Perfect Fifth || perf 5th || P5 ||= G || 705.88, 847.06 ||= [[3_2|3/2]] || Supra ||
|| 10 || Perfect Fifth || perf 5th || G || 705.88, 847.06 ||= [[3_2|3/2]] || Supra ||
|| 11 || Super Fifth/
|| 11 || Super Fifth/
Minor Sixth || min 6th || Ab || 776.47, 931.765 ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
Minor Sixth || min 6th || m6 ||= Ab || 776.47, 931.765 ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
|| 12 || Augmented Fifth/
|| 12 || Augmented Fifth/
Neutral Sixth/
Neutral Sixth/
Diminished Seventh || mid 6th || Av || 847.06, 1016.47 ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
Diminished Seventh || mid 6th || ~6 ||= Av || 847.06, 1016.47 ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
|| 13 || Major Sixth/
|| 13 || Major Sixth/
Sub Seventh || maj 6th || A || 917.65, 1101.18 ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
Sub Seventh || maj 6th || M6 ||= A || 917.65, 1101.18 ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
|| 14 || Minor Seventh/
|| 14 || Minor Seventh/
Super Sixth || min 7th || Bb || 988.235, 1185.89 ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
Super Sixth || min 7th || m7 ||= Bb || 988.235, 1185.89 ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
|| 15 || Augmented Sixth/
|| 15 || Augmented Sixth/
Neutral Seventh/
Neutral Seventh/
Diminished Octave || mid 7th || Bv || 1058.82, 1270.59 ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
Diminished Octave || mid 7th || ~7 ||= Bv || 1058.82, 1270.59 ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
|| 16 || Major Seventh/
|| 16 || Major Seventh/
Sub Octave || maj 7th || B || 1129.41, 1355.29 ||= 25/13, 48/25, 64/33 ||  ||
Sub Octave || maj 7th || M7 ||= B || 1129.41, 1355.29 ||= 25/13, 48/25, 64/33 ||  ||
|| 17 || Perfect Octave || 8ve || C || 1200, 1440 ||= [[2_1|2/1]] ||  ||
|| 17 || Perfect Octave || octave || P8 ||= C || 1200, 1440 ||= [[2_1|2/1]] ||  ||


==Selected just intervals by error==  
==Selected just intervals by error==  
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         &lt;th&gt;Degree&lt;br /&gt;
         &lt;th&gt;Degree&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Names of &lt;br /&gt;
         &lt;th&gt;Names of&lt;br /&gt;
Intervals&lt;br /&gt;
Intervals&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;up/down &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;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;name&lt;/a&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;note&lt;br /&gt;
names&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Cents (coarse/fine)&lt;br /&gt;
         &lt;th&gt;Cents (coarse/fine)&lt;br /&gt;
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         &lt;td&gt;unison&lt;br /&gt;
         &lt;td&gt;unison&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C&lt;br /&gt;
         &lt;td&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;0&lt;br /&gt;
         &lt;td&gt;0&lt;br /&gt;
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         &lt;td&gt;min 2nd&lt;br /&gt;
         &lt;td&gt;min 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Db&lt;br /&gt;
         &lt;td&gt;m2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Db&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;70.59, 84.71&lt;br /&gt;
         &lt;td&gt;70.59, 84.71&lt;br /&gt;
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         &lt;td&gt;mid 2nd&lt;br /&gt;
         &lt;td&gt;mid 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Dv&lt;br /&gt;
         &lt;td&gt;~2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Dv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;141.18, 169.41&lt;br /&gt;
         &lt;td&gt;141.18, 169.41&lt;br /&gt;
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         &lt;td&gt;maj 2nd&lt;br /&gt;
         &lt;td&gt;maj 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D&lt;br /&gt;
         &lt;td&gt;M2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;211.765, 254.11&lt;br /&gt;
         &lt;td&gt;211.765, 254.11&lt;br /&gt;
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         &lt;td&gt;min 3rd&lt;br /&gt;
         &lt;td&gt;min 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Eb&lt;br /&gt;
         &lt;td&gt;m3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;282.35, 338.82&lt;br /&gt;
         &lt;td&gt;282.35, 338.82&lt;br /&gt;
Line 341: Line 343:
         &lt;td&gt;mid 3rd&lt;br /&gt;
         &lt;td&gt;mid 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ev&lt;br /&gt;
         &lt;td&gt;~3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;352.94, 423.53&lt;br /&gt;
         &lt;td&gt;352.94, 423.53&lt;br /&gt;
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         &lt;td&gt;maj 3rd&lt;br /&gt;
         &lt;td&gt;maj 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;E&lt;br /&gt;
         &lt;td&gt;M3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;423.53, 508.235&lt;br /&gt;
         &lt;td&gt;423.53, 508.235&lt;br /&gt;
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         &lt;td&gt;perf 4th&lt;br /&gt;
         &lt;td&gt;perf 4th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F&lt;br /&gt;
         &lt;td&gt;P4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;494.11, 592.94&lt;br /&gt;
         &lt;td&gt;494.11, 592.94&lt;br /&gt;
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dim 5th&lt;br /&gt;
dim 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F^, &lt;br /&gt;
         &lt;td&gt;^4, d5&lt;br /&gt;
Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F^, Gb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;564.71, 677.65&lt;br /&gt;
         &lt;td&gt;564.71, 677.65&lt;br /&gt;
Line 411: Line 420:
down 5th&lt;br /&gt;
down 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F#,&lt;br /&gt;
         &lt;td&gt;A4, v5&lt;br /&gt;
Gv&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F#, Gv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;635.29, 762.35&lt;br /&gt;
         &lt;td&gt;635.29, 762.35&lt;br /&gt;
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         &lt;td&gt;perf 5th&lt;br /&gt;
         &lt;td&gt;perf 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;G&lt;br /&gt;
         &lt;td&gt;P5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;705.88, 847.06&lt;br /&gt;
         &lt;td&gt;705.88, 847.06&lt;br /&gt;
Line 445: Line 457:
         &lt;td&gt;min 6th&lt;br /&gt;
         &lt;td&gt;min 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ab&lt;br /&gt;
         &lt;td&gt;m6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Ab&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;776.47, 931.765&lt;br /&gt;
         &lt;td&gt;776.47, 931.765&lt;br /&gt;
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         &lt;td&gt;mid 6th&lt;br /&gt;
         &lt;td&gt;mid 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Av&lt;br /&gt;
         &lt;td&gt;~6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Av&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;847.06, 1016.47&lt;br /&gt;
         &lt;td&gt;847.06, 1016.47&lt;br /&gt;
Line 480: Line 496:
         &lt;td&gt;maj 6th&lt;br /&gt;
         &lt;td&gt;maj 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;A&lt;br /&gt;
         &lt;td&gt;M6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;917.65, 1101.18&lt;br /&gt;
         &lt;td&gt;917.65, 1101.18&lt;br /&gt;
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         &lt;td&gt;min 7th&lt;br /&gt;
         &lt;td&gt;min 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Bb&lt;br /&gt;
         &lt;td&gt;m7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;988.235, 1185.89&lt;br /&gt;
         &lt;td&gt;988.235, 1185.89&lt;br /&gt;
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         &lt;td&gt;mid 7th&lt;br /&gt;
         &lt;td&gt;mid 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Bv&lt;br /&gt;
         &lt;td&gt;~7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bv&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1058.82, 1270.59&lt;br /&gt;
         &lt;td&gt;1058.82, 1270.59&lt;br /&gt;
Line 532: Line 554:
         &lt;td&gt;maj 7th&lt;br /&gt;
         &lt;td&gt;maj 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;B&lt;br /&gt;
         &lt;td&gt;M7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1129.41, 1355.29&lt;br /&gt;
         &lt;td&gt;1129.41, 1355.29&lt;br /&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;8ve&lt;br /&gt;
         &lt;td&gt;octave&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;P8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1200, 1440&lt;br /&gt;
         &lt;td&gt;1200, 1440&lt;br /&gt;
Line 719: Line 745:
&lt;br /&gt;
&lt;br /&gt;
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