24edo: Difference between revisions

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<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:k9assassin|k9assassin]] and made on <tt>2014-11-18 12:07:17 UTC</tt>.

: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2014-11-18 12:13:02 UTC</tt>.

: The original revision id was <tt>~~531566444~~</tt>.

: The original revision id was <tt>531567452</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.

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=Intervals=

|| 24 || 1200 ||= 2/1 ||

24 EDO breaks intervals into two sets of five cartegories. Infra - Minor - Neutral - Major - Ultra for seconds, thirds, sixths, and sevenths; and diminished - narrow - perfect - wide - augmented for

fourths, fifths, unison, and octave. For other strange enharmonics, wide and narrow can be used in conjunction with augmented and diminished intervals such as 550 cents being called a narrow diminished fifth and 850 cents being called a wide augmented fifth.

These are the intervals of 24 EDO that do not exist in 12 EDO: 2

[[24 EDO Interval names and Harmonies|See full article on 24 Edo intervals.]]

||||~ The twelve new intervals in 24edo ||||||~ some nearby JI intervals ||

||~ cents ||~ common names ||~ frequency ratio ||~ cents ||~ common name ||

||= 50 ||= ~~subminor second,~~ quartertone

||= 50 ||= quartertone

infra second, wide unison ||= [[36_35|36/35]]

[[35_34|35/34]]

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33rd harmonic ||

||= 150 ||= neutral second ||= [[12_11|12/11]] ||= 150.637 ||= large undecimal neutral second ||

||= 250 ||= ~~supermajor second,~~ ultra second

||= 250 ||= ultra second

~~subminor third,~~ infra third ||= [[144_125|144/125]]

infra third ||= [[144_125|144/125]]

[[15_13|15/13]]

[[52_45|52/45]] ||= 244.969

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..

tridecimal neutral third ||

||= 450 ||= minor fourth, ultra ~~third, supermajor~~ third, narrow fourth ||= [[22_17|22/17]]

||= 450 ||= minor fourth, ultra third, narrow fourth ||= [[22_17|22/17]]

[[35_27|35/27]]

[[13_10|13/10]] ||= 446.363

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||= 550 ||= wide fourth ||= [[11_8|11/8]] ||= 551.318 ||= undecimal superfourth, harmonic 11th ||

||= 650 ||= narrow fifth ||= [[16_11|16/11]] ||= 648.682 ||= undecimal subfifth, 11th subharmonic ||

||= 750 ||= wide fifth~~, subminor sixth~~, infra sixth ||= [[20_13|20/13]]

||= 750 ||= wide fifth, infra sixth ||= [[20_13|20/13]]

[[54_35|54/35]]

[[17_11|17/11]] ||= 745.786

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..

undecimal neutral sixth ||

||= 950 ||= ~~supermajor sixth,~~ultra sixth~~, subminor seventh~~, infra seventh ||= [[45_26|45/26]]

||= 950 ||= ultra sixth , infra seventh ||= [[45_26|45/26]]

[[26_15|26/15]]

[[125_72|125/72]] ||= 949.696

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.. ||

||= 1050 ||= neutral seventh ||= [[11_6|11/6]] ||= 1049.363 ||= undecimal neutral seventh ||

||= 1150 ||= ~~minor octave, supermajor seventh,~~ ultra seventh, narrow octave ||= [[31_16|31/16]]

||= 1150 ||= ultra seventh, narrow octave ||= [[31_16|31/16]]

[[33_17|33/17]]

[[35_18|35/18]] ||= 1145.036

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</table>

24 EDO breaks intervals into two sets of five cartegories. Infra - Minor - Neutral - Major - Ultra for seconds, thirds, sixths, and sevenths; and diminished - narrow - perfect - wide - augmented for

fourths, fifths, unison, and octave. For other strange enharmonics, wide and narrow can be used in conjunction with augmented and diminished intervals such as 550 cents being called a narrow diminished fifth and 850 cents being called a wide augmented fifth.

These are the intervals of 24 EDO that do not exist in 12 EDO: 2

<a class="wiki_link" href="/24%20EDO%20Interval%20names%20and%20Harmonies">See full article on 24 Edo intervals.</a>

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<td style="text-align: center;">50

</td>

<td style="text-align: center;">~~subminor second,~~ quartertone

<td style="text-align: center;">quartertone

infra second, wide unison

</td>

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<td style="text-align: center;">250

</td>

<td style="text-align: center;">~~supermajor second,~~ ultra second

<td style="text-align: center;">ultra second

~~subminor third,~~ infra third

infra third

</td>

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<td style="text-align: center;">450

</td>

<td style="text-align: center;">minor fourth, ultra ~~third, supermajor~~ third, narrow fourth

<td style="text-align: center;">minor fourth, ultra third, narrow fourth

</td>

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<td style="text-align: center;">750

</td>

<td style="text-align: center;">wide fifth~~, subminor sixth~~, infra sixth

<td style="text-align: center;">wide fifth, infra sixth

</td>

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<td style="text-align: center;">950

</td>

<td style="text-align: center;">~~supermajor sixth,~~ultra sixth~~, subminor seventh~~, infra seventh

<td style="text-align: center;">ultra sixth , infra seventh

</td>

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<td style="text-align: center;">1150

</td>

<td style="text-align: center;">~~minor octave, supermajor seventh,~~ ultra seventh, narrow octave

<td style="text-align: center;">ultra seventh, narrow octave

</td>

@@ 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:k9assassin|k9assassin]] and made on <tt>2014-11-18 12:07:17 UTC</tt>.<br>
+: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2014-11-18 12:13:02 UTC</tt>.<br>
-: The original revision id was <tt>531566444</tt>.<br>
+: The original revision id was <tt>531567452</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 80: / Line 80: @@
 =Intervals=
 || 24 || 1200 ||= 2/1 ||
+EDO breaks intervals into two sets of five cartegories. Infra - Minor - Neutral - Major - Ultra for seconds, thirds, sixths, and sevenths; and diminished - narrow - perfect - wide - augmented for
+fourths, fifths, unison, and octave. For other strange enharmonics, wide and narrow can be used in conjunction with augmented and diminished intervals such as 550 cents being called a narrow diminished fifth and 850 cents being called a wide augmented fifth.
+These are the intervals of 24 EDO that do not exist in 12 EDO: 2
 [[24 EDO Interval names and Harmonies|See full article on 24 Edo intervals.]]
 ||||~ The twelve new intervals in 24edo ||||||~ some nearby JI intervals ||
 ||~ cents ||~ common names ||~ frequency ratio ||~ cents ||~ common name ||
-||= 50 ||= subminor second, quartertone
+||= 50 ||= quartertone
 infra second, wide unison ||= [[36_35|36/35]]
 [[35_34|35/34]]
@@ Line 95: / Line 99: @@
 rd harmonic ||
 ||= 150 ||= neutral second ||= [[12_11|12/11]] ||= 150.637 ||= large undecimal neutral second ||
-||= 250 ||= supermajor second, ultra second
+||= 250 ||= ultra second
-subminor third, &lt;span style="line-height: 1.5;"&gt;infra third&lt;/span&gt; ||= [[144_125|144/125]]
+&lt;span style="line-height: 1.5;"&gt;infra third&lt;/span&gt; ||= [[144_125|144/125]]
 [[15_13|15/13]]
 [[52_45|52/45]] ||= 244.969
@@ Line 110: / Line 114: @@
 ..
 tridecimal neutral third ||
-||= 450 ||= minor fourth, ultra third, supermajor third, narrow fourth ||= [[22_17|22/17]]
+||= 450 ||= minor fourth, ultra third, narrow fourth ||= [[22_17|22/17]]
 [[35_27|35/27]]
 [[13_10|13/10]] ||= 446.363
@@ Line 119: / Line 123: @@
 ||= 550 ||= wide fourth ||= [[11_8|11/8]] ||= 551.318 ||= undecimal superfourth, harmonic 11th ||
 ||= 650 ||= narrow fifth ||= [[16_11|16/11]] ||= 648.682 ||= undecimal subfifth, 11th subharmonic ||
-||= 750 ||= wide fifth, subminor sixth, infra sixth ||= [[20_13|20/13]]
+||= 750 ||= wide fifth, infra sixth ||= [[20_13|20/13]]
 [[54_35|54/35]]
 [[17_11|17/11]] ||= 745.786
@@ Line 133: / Line 137: @@
 ..
 undecimal neutral sixth ||
-||= 950 ||= supermajor sixth,ultra sixth, subminor seventh, infra seventh ||= [[45_26|45/26]]
+||= 950 ||= ultra sixth , infra seventh ||= [[45_26|45/26]]
 [[26_15|26/15]]
 [[125_72|125/72]] ||= 949.696
@@ Line 141: / Line 145: @@
 .. ||
 ||= 1050 ||= neutral seventh ||= [[11_6|11/6]] ||= 1049.363 ||= undecimal neutral seventh ||
-||= 1150 ||= minor octave, supermajor seventh, ultra seventh, narrow octave ||= [[31_16|31/16]]
+||= 1150 ||= ultra seventh, narrow octave ||= [[31_16|31/16]]
 [[33_17|33/17]]
 [[35_18|35/18]] ||= 1145.036
@@ Line 950: / Line 954: @@
 &lt;/table&gt;
+EDO breaks intervals into two sets of five cartegories. Infra - Minor - Neutral - Major - Ultra for seconds, thirds, sixths, and sevenths; and diminished - narrow - perfect - wide - augmented for&lt;br /&gt;
+fourths, fifths, unison, and octave. For other strange enharmonics, wide and narrow can be used in conjunction with augmented and diminished intervals such as 550 cents being called a narrow diminished fifth and 850 cents being called a wide augmented fifth. &lt;br /&gt;
+&lt;br /&gt;
+These are the intervals of 24 EDO that do not exist in 12 EDO: 2&lt;br /&gt;
 &lt;a class="wiki_link" href="/24%20EDO%20Interval%20names%20and%20Harmonies"&gt;See full article on 24 Edo intervals.&lt;/a&gt;&lt;br /&gt;
@@ Line 975: / Line 983: @@
          &lt;td style="text-align: center;"&gt;50&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;subminor second, quartertone&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;quartertone&lt;br /&gt;
 infra second, wide unison&lt;br /&gt;
 &lt;/td&gt;
@@ Line 1,009: / Line 1,017: @@
          &lt;td style="text-align: center;"&gt;250&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;supermajor second, ultra second&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ultra second&lt;br /&gt;
-subminor third, &lt;span style="line-height: 1.5;"&gt;infra third&lt;/span&gt;&lt;br /&gt;
+&lt;span style="line-height: 1.5;"&gt;infra third&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/144_125"&gt;144/125&lt;/a&gt;&lt;br /&gt;
@@ Line 1,046: / Line 1,054: @@
          &lt;td style="text-align: center;"&gt;450&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;minor fourth, ultra third, supermajor third, narrow fourth&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;minor fourth, ultra third, narrow fourth&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/22_17"&gt;22/17&lt;/a&gt;&lt;br /&gt;
@@ Line 1,088: / Line 1,096: @@
          &lt;td style="text-align: center;"&gt;750&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;wide fifth, subminor sixth, infra sixth&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;wide fifth, infra sixth&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt;&lt;br /&gt;
@@ Line 1,124: / Line 1,132: @@
          &lt;td style="text-align: center;"&gt;950&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;supermajor sixth,ultra sixth, subminor seventh, infra seventh&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ultra sixth , infra seventh&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/45_26"&gt;45/26&lt;/a&gt;&lt;br /&gt;
@@ Line 1,154: / Line 1,162: @@
          &lt;td style="text-align: center;"&gt;1150&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;minor octave, supermajor seventh, ultra seventh, narrow octave&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;ultra seventh, narrow octave&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/31_16"&gt;31/16&lt;/a&gt;&lt;br /&gt;