Metallic harmony: 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:<br>~~

~~: This revision was by author [[User:cookiemeows~~|~~cookiemeows]] and made on <tt>2014-03-17 14:51:45 UTC</tt>.<br>~~

~~: The original revision id was <tt>496401496</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>~~

~~<h4>Original Wikitext content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Metallic harmony is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sororities. Specifically, Metallic harmony treats 7/4 as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4. The most common interval is 11/6 or the neutral 7th but intervals such as 12/7 and 19/11 are also notable possibilities. These sevenths chords have a characteristic metallic somewhat cold quality which earns them their name, metallic.

~~==Basic Chord Types==~~

'''Metallic harmony''' is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sonorities. Specifically, metallic harmony treats [[7/4]] as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4 to form a triad. For example, [[13/7]] can be used as the upper interval, creating a 4:7:13 chord in [[just intonation]]. Other intervals such as [[12/7]] and [[19/11]] are notable possibilities. These seventh chords have a characteristic metallic and somewhat cold quality which earns them their name.

== Basic chord types ==

There are symmetrical and asymmetrical chords in metallic harmony. Asymmetric chords have a more rooted sound while symmetrical chords sound more ambiguous.

However, because metallic chords use only foreign intervals, they tend to sound exotic, or like metal. The beauty however is that they are capable of expressive harmony if used correctly. The two types of asymmetric triads soft and hard. Soft triads place the 7/4 on top of the chord while hard triads place it on the bottom. The names come from that if when the 7/4 is placed on top, the chord sounds smoother and mellow, on the bottom the chord has a rougher, JI crunch to it. Both are very nice chords but soft chords are more dissonant than hard chords regardless of what the names might suggest.

~~Listen to the Hard and Soft triads: </pre></div>~~

However, because metallic chords use only foreign intervals, they tend to sound exotic, or like metal. The beauty however is that they are capable of expressive harmony if used correctly. The two types of asymmetric triads soft and hard. Soft triads place the 7/4 on top of the chord while hard triads place it on the bottom. The names come from that if when the 7/4 is placed on top, the chord sounds smoother and mellow, on the bottom the chord has a rougher, [[JI]] crunch to it. Both are very nice chords but soft chords are more dissonant than hard chords regardless of what the names might suggest.

~~<h4>Original HTML content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Metallic Harmony</title></head><body>Metallic harmony is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sororities. Specifically, Metallic harmony treats 7/4 as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that &quot;clicks&quot; with the 7/4. The most common interval is 11/6 or the neutral 7th but intervals such as 12/7 and 19/11 are also notable possibilities. These sevenths chords have a characteristic metallic somewhat cold quality which earns them their name, metallic. <br />

== EDOs that support metallic harmony ==

~~<br />~~

Some notable [[edo]]s for metallic harmony include {{EDOs|5, 10, 15, 26, 31, and 36}} and for more complex harmony [[21edo]] (or supersets of it like [[63edo]]) can be tried. [[10edo]] contains a 7 note MOS ([[3L 4s]]) that contains 3 hard and 3 soft metallic triads in addition to one symmetrical triad. In addition Metallic harmony can also be used to harmonize Mavila in [[16edo]]. However Mavila 7 only contains two hard and soft triads on degrees 1 4 and 2 6. Mavila 9 adds two more soft triads but there are still only two hard triads. Therefore, metallic harmony in 16 EDO doesn't work nearly as well in it would in 10 or [[20edo]].

<h2 id="toc0"><a name="x-Basic Chord Types"></a>Basic Chord Types</h2>

~~<br />~~

[[Category:7-limit]]

~~There are symmetrical and asymmetrical chords in metallic harmony. Asymmetric chords have a more rooted sound while symmetrical chords sound more ambiguous.<br />~~

[[Category:13-limit]]

However, because metallic chords use only foreign intervals, they tend to sound exotic, or like metal. The beauty however is that they are capable of expressive harmony if used correctly. The two types of asymmetric triads soft and hard. Soft triads place the 7/4 on top of the chord while hard triads place it on the bottom. The names come from that if when the 7/4 is placed on top, the chord sounds smoother and mellow, on the bottom the chord has a rougher, JI crunch to it. Both are very nice chords but soft chords are more dissonant than hard chords regardless of what the names might suggest. ~~<br />~~

[[Category:19-limit]]

<~~br />~~

[[Category:Harmony]]

~~Listen~~ to ~~the Hard~~ and ~~Soft~~ triads:~~</body></html></pre></div>~~

[[Category:Metallic]]

[[Category:Mavila]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+{{Distinguish|Metallic harmonic series}}
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:cookiemeows|cookiemeows]] and made on <tt>2014-03-17 14:51:45 UTC</tt>.<br>
-: The original revision id was <tt>496401496</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>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Metallic harmony is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sororities. Specifically, Metallic harmony treats 7/4 as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4. The most common interval is 11/6 or the neutral 7th but intervals such as 12/7 and 19/11 are also notable possibilities. These sevenths chords have a characteristic metallic somewhat cold quality which earns them their name, metallic.
-==Basic Chord Types==
+'''Metallic harmony''' is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sonorities. Specifically, metallic harmony treats [[7/4]] as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that "clicks" with the 7/4 to form a triad. For example, [[13/7]] can be used as the upper interval, creating a 4:7:13 chord in [[just intonation]]. Other intervals such as [[12/7]] and [[19/11]] are notable possibilities. These seventh chords have a characteristic metallic and somewhat cold quality which earns them their name.
+== Basic chord types ==
 There are symmetrical and asymmetrical chords in metallic harmony. Asymmetric chords have a more rooted sound while symmetrical chords sound more ambiguous.
-However, because metallic chords use only foreign intervals, they tend to sound exotic, or like metal. The beauty however is that they are capable of expressive harmony if used correctly. The two types of asymmetric triads soft and hard. Soft triads place the 7/4 on top of the chord while hard triads place it on the bottom. The names come from that if when the 7/4 is placed on top, the chord sounds smoother and mellow, on the bottom the chord has a rougher, JI crunch to it. Both are very nice chords but soft chords are more dissonant than hard chords regardless of what the names might suggest.
-Listen to the Hard and Soft triads: </pre></div>
+However, because metallic chords use only foreign intervals, they tend to sound exotic, or like metal. The beauty however is that they are capable of expressive harmony if used correctly. The two types of asymmetric triads soft and hard. Soft triads place the 7/4 on top of the chord while hard triads place it on the bottom. The names come from that if when the 7/4 is placed on top, the chord sounds smoother and mellow, on the bottom the chord has a rougher, [[JI]] crunch to it. Both are very nice chords but soft chords are more dissonant than hard chords regardless of what the names might suggest.
-<h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Metallic Harmony&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Metallic harmony is an approach of building harmony based on sevenths rather than thirds to produce consonant, resolved, sororities. Specifically, Metallic harmony treats 7/4 as the most consonant interval next to the octave. As a result, tunings that do not approximate 7/4 decently do not support metallic harmony. In addition, there must be an additional size of seventh/sixth that &amp;quot;clicks&amp;quot; with the 7/4. The most common interval is 11/6 or the neutral 7th but intervals such as 12/7 and 19/11 are also notable possibilities. These sevenths chords have a characteristic metallic somewhat cold quality which earns them their name, metallic. &lt;br /&gt;
+== EDOs that support metallic harmony ==
-&lt;br /&gt;
+Some notable [[edo]]s for metallic harmony include {{EDOs|5, 10, 15, 26, 31, and 36}} and for more complex harmony [[21edo]] (or supersets of it like [[63edo]]) can be tried. [[10edo]] contains a 7 note MOS ([[3L&nbsp;4s]]) that contains 3 hard and 3 soft metallic triads in addition to one symmetrical triad. In addition Metallic harmony can also be used to harmonize Mavila in [[16edo]]. However Mavila 7 only contains two hard and soft triads on degrees 1 4 and 2 6. Mavila 9 adds two more soft triads but there are still only two hard triads. Therefore, metallic harmony in 16 EDO doesn't work nearly as well in it would in 10 or [[20edo]].
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Basic Chord Types"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Basic Chord Types&lt;/h2&gt;
- &lt;br /&gt;
+[[Category:7-limit]]
-There are symmetrical and asymmetrical chords in metallic harmony. Asymmetric chords have a more rooted sound while symmetrical chords sound more ambiguous.&lt;br /&gt;
+[[Category:13-limit]]
-However, because metallic chords use only foreign intervals, they tend to sound exotic, or like metal. The beauty however is that they are capable of expressive harmony if used correctly. The two types of asymmetric triads soft and hard. Soft triads place the 7/4 on top of the chord while hard triads place it on the bottom. The names come from that if when the 7/4 is placed on top, the chord sounds smoother and mellow, on the bottom the chord has a rougher, JI crunch to it. Both are very nice chords but soft chords are more dissonant than hard chords regardless of what the names might suggest. &lt;br /&gt;
+[[Category:19-limit]]
-&lt;br /&gt;
+[[Category:Harmony]]
-Listen to the Hard and Soft triads:&lt;/body&gt;&lt;/html&gt;</pre></div>
+[[Category:Metallic]]
+[[Category:Mavila]]