36edo: 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:~~MasonGreen1~~|~~MasonGreen1~~]] and made on <tt>~~2015~~-11-~~19 15~~:17:47 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-30 07:04:27 UTC</tt>.

: The original revision id was <tt>~~567111481~~</tt>.

: The original revision id was <tt>600994808</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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The intervals in 36edo are all either the familiar 12edo intervals, or else "red" and "blue" versions of them. Unlike [[24edo]], which has genuinely foreign intervals such as 250 cents (halfway between a tone and a third) and 450 cents (halfway between a fourth and a third), the new intervals in 36edo all variations on existing ones. Unlike 24edo, 36edo is also relatively free of what Easley Blackwood called "discordant" intervals.

An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, **A** is 33.333 cents above **A** and 33.333 cents below **A**. Or the colors could be written out (red A, blue C#, etc.)

An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, **A** is 33.333 cents above **A** and 33.333 cents below **A**. Or the colors could be written out (red A, blue C#, etc.) or abbreviated as rA, bC#, etc. This use of red and blue is consistent with [[Kite's color notation|color notation]].

Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the "red ~~major~~ third") sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.

Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the "red minor third") sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.

36edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, pelog (and mavila) easily adapt to it. Slendro can be approximated in several different ways. 36edo can function as a "bridge" between these genres and Western music. Arabic music does not adapt as well, however, since many versions contain quarter tones.

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The intervals in 36edo are all either the familiar 12edo intervals, or else &quot;red&quot; and &quot;blue&quot; versions of them. Unlike <a class="wiki_link" href="/24edo">24edo</a>, which has genuinely foreign intervals such as 250 cents (halfway between a tone and a third) and 450 cents (halfway between a fourth and a third), the new intervals in 36edo all variations on existing ones. Unlike 24edo, 36edo is also relatively free of what Easley Blackwood called &quot;discordant&quot; intervals.

An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, A is 33.333 cents above A and 33.333 cents below A. Or the colors could be written out (red A, blue C#, etc.)

An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, A is 33.333 cents above A and 33.333 cents below A. Or the colors could be written out (red A, blue C#, etc.) or abbreviated as rA, bC#, etc. This use of red and blue is consistent with <a class="wiki_link" href="/Kite%27s%20color%20notation">color notation</a>.

Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the &quot;red ~~major~~ third&quot;) sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.

Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the &quot;red minor third&quot;) sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.

36edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, pelog (and mavila) easily adapt to it. Slendro can be approximated in several different ways. 36edo can function as a &quot;bridge&quot; between these genres and Western music. Arabic music does not adapt as well, however, since many versions contain quarter tones.

@@ 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:MasonGreen1|MasonGreen1]] and made on <tt>2015-11-19 15:17:47 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-30 07:04:27 UTC</tt>.<br>
-: The original revision id was <tt>567111481</tt>.<br>
+: The original revision id was <tt>600994808</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 29: / Line 29: @@
 The intervals in 36edo are all either the familiar 12edo intervals, or else "red" and "blue" versions of them. Unlike [[24edo]], which has genuinely foreign intervals such as 250 cents (halfway between a tone and a third) and 450 cents (halfway between a fourth and a third), the new intervals in 36edo all variations on existing ones. Unlike 24edo, 36edo is also relatively free of what Easley Blackwood called "discordant" intervals.
-An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, **A** is 33.333 cents above **&lt;span style="background-color: #6ee8e8; color: #071ac7;"&gt;A&lt;/span&gt;** and 33.333 cents below **&lt;span style="background-color: #eda2a2; color: #ff0000;"&gt;A&lt;/span&gt;**. Or the colors could be written out (red A, blue C#, etc.)
+An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, **A** is 33.333 cents above **&lt;span style="background-color: #6ee8e8; color: #071ac7;"&gt;A&lt;/span&gt;** and 33.333 cents below **&lt;span style="background-color: #eda2a2; color: #ff0000;"&gt;A&lt;/span&gt;**. Or the colors could be written out (red A, blue C#, etc.) or abbreviated as rA, bC#, etc. This use of red and blue is consistent with [[Kite's color notation|color notation]].
-Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the "red major third") sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.
+Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the "red minor third") sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.
 edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, pelog (and mavila) easily adapt to it. Slendro can be approximated in several different ways. 36edo can function as a "bridge" between these genres and Western music. Arabic music does not adapt as well, however, since many versions contain quarter tones.
@@ Line 185: / Line 185: @@
 The intervals in 36edo are all either the familiar 12edo intervals, or else &amp;quot;red&amp;quot; and &amp;quot;blue&amp;quot; versions of them. Unlike &lt;a class="wiki_link" href="/24edo"&gt;24edo&lt;/a&gt;, which has genuinely foreign intervals such as 250 cents (halfway between a tone and a third) and 450 cents (halfway between a fourth and a third), the new intervals in 36edo all variations on existing ones. Unlike 24edo, 36edo is also relatively free of what Easley Blackwood called &amp;quot;discordant&amp;quot; intervals.&lt;br /&gt;
 &lt;br /&gt;
-An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, &lt;strong&gt;A&lt;/strong&gt; is 33.333 cents above &lt;strong&gt;&lt;span style="background-color: #6ee8e8; color: #071ac7;"&gt;A&lt;/span&gt;&lt;/strong&gt; and 33.333 cents below &lt;strong&gt;&lt;span style="background-color: #eda2a2; color: #ff0000;"&gt;A&lt;/span&gt;&lt;/strong&gt;. Or the colors could be written out (red A, blue C#, etc.)&lt;br /&gt;
+An easy way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, &lt;strong&gt;A&lt;/strong&gt; is 33.333 cents above &lt;strong&gt;&lt;span style="background-color: #6ee8e8; color: #071ac7;"&gt;A&lt;/span&gt;&lt;/strong&gt; and 33.333 cents below &lt;strong&gt;&lt;span style="background-color: #eda2a2; color: #ff0000;"&gt;A&lt;/span&gt;&lt;/strong&gt;. Or the colors could be written out (red A, blue C#, etc.) or abbreviated as rA, bC#, etc. This use of red and blue is consistent with &lt;a class="wiki_link" href="/Kite%27s%20color%20notation"&gt;color notation&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
-Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the &amp;quot;red major third&amp;quot;) sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.&lt;br /&gt;
+Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the &amp;quot;red minor third&amp;quot;) sharply approximates 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.&lt;br /&gt;
 &lt;br /&gt;
 edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, pelog (and mavila) easily adapt to it. Slendro can be approximated in several different ways. 36edo can function as a &amp;quot;bridge&amp;quot; between these genres and Western music. Arabic music does not adapt as well, however, since many versions contain quarter tones.&lt;br /&gt;