9/7: 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>2015-03-24 20:53:36 UTC</tt>.

: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 21:03:03 UTC</tt>.

: The original revision id was <tt>~~545215814~~</tt>.

: The original revision id was <tt>545216638</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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In [[Just Intonation]], 9/7 is a supermajor third of approximately 435.1¢, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th.

A just chord can be built with this wide third in place of the more traditional [[5_4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. 9/7 ~~can actually be heard as an extremely wide tone rather than~~ a ~~third as~~ it ~~resembles the characteristic of~~ 9/8 more than 5/4. Chords such as the [[9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.

A just chord can be built with this wide third in place of the more traditional [[5_4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the [[9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.

See also:

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In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 9/7 is a supermajor third of approximately 435.1¢, characteristic of <a class="wiki_link" href="/7-limit">7-limit</a> and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th.

A just chord can be built with this wide third in place of the more traditional <a class="wiki_link" href="/5_4">5/4</a>. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. 9/7 ~~can actually be heard as an extremely wide tone rather than~~ a ~~third as~~ it ~~resembles the characteristic of~~ 9/8 more than 5/4. Chords such as the <a class="wiki_link" href="/9-limit">9-limit</a> hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.

A just chord can be built with this wide third in place of the more traditional <a class="wiki_link" href="/5_4">5/4</a>. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the <a class="wiki_link" href="/9-limit">9-limit</a> hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.

@@ 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>2015-03-24 20:53:36 UTC</tt>.<br>
+: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 21:03:03 UTC</tt>.<br>
-: The original revision id was <tt>545215814</tt>.<br>
+: The original revision id was <tt>545216638</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 15: / Line 15: @@
 In [[Just Intonation]], 9/7 is a supermajor third of approximately 435.1¢, characteristic of [[7-limit]] and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th.
-A just chord can be built with this wide third in place of the more traditional [[5_4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. 9/7 can actually be heard as an extremely wide tone rather than a third as it resembles the characteristic of 9/8 more than 5/4. Chords such as the [[9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.
+A just chord can be built with this wide third in place of the more traditional [[5_4|5/4]]. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the [[9-limit]] hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.
 See also:
@@ Line 30: / Line 30: @@
 In &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 9/7 is a supermajor third of approximately 435.1¢, characteristic of &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; and beyond. On its own, it has a very strident quality, but in the context of a chord, it can sound perfectly consonant. The 9-limit hexad 4:5:6:7:8:9 includes a septimal supermajor third between the 7th and the 9th.&lt;br /&gt;
 &lt;br /&gt;
-A just chord can be built with this wide third in place of the more traditional &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. 9/7 can actually be heard as an extremely wide tone rather than a third as it resembles the characteristic of 9/8 more than 5/4. Chords such as the &lt;a class="wiki_link" href="/9-limit"&gt;9-limit&lt;/a&gt; hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.&lt;br /&gt;
+A just chord can be built with this wide third in place of the more traditional &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;. This supermajor triad would be 14:18:21. This triad can be very effective in music, but in this context, the modern ear accustomed to 12edo thirds of 400¢ is likely to hear 9/7 as a mistuned major third instead of a new class of interval in its own right. Because 9/7 is a ratio of 9, it shares sonority qualities with 9/8 much more than 5/4. Chords such as the &lt;a class="wiki_link" href="/9-limit"&gt;9-limit&lt;/a&gt; hexad above and subsets of it give more opportunity for 9/7 to be heard as consonant.&lt;br /&gt;
 &lt;br /&gt;
 See also:&lt;br /&gt;
 &lt;a class="wiki_link" href="/Gallery%20of%20Just%20Intervals"&gt;Gallery of Just Intervals&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_major_third" rel="nofollow"&gt;Septimal major third&lt;/a&gt; (Wikipedia)&lt;/body&gt;&lt;/html&gt;</pre></div>