17edo neutral scale: 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-09-01 17:39:09 UTC</tt>.<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-09-01 17:45:00 UTC</tt>.<br>

: The original revision id was <tt>~~36653417~~</tt>.<br>

: The original revision id was <tt>36654047</tt>.<br>

: The revision comment was: <tt></tt><br>

: The revision comment was: <tt>typo</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>

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|| 7 || led || .0 2 4 7 9 12 14 (0) || .0 141 282 494 635 847 988 (1200) || .P1 N2 m3 P4 d5 N6 m7 (P8) || .2 2 3 2 3 2 3 ||

As you can see, these modes contain many neutral 2nds & 3rds, making it sound very different from the traditional major-minor Western harmonic & melodic system, while having a coherent structure including ample 4ths & 5ths that help ground the scale. The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 3/8 - 841 cents. Thus, their inversions, the 17edo neutral thirds come very close to 16/13.

As you can see, these modes contain many neutral 2nds & 3rds, making it sound very different from the traditional major-minor Western harmonic & melodic system, while having a coherent structure including ample 4ths & 5ths that help ground the scale. The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 13/8 - 841 cents. Thus, their inversions, the 17edo neutral thirds come very close to 16/13.

The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) & 12/11 (151) cents. I've found that they generally function as 13/12, since they fall 3/2 away from 3/8. But you can discover these things for yourself, if you like, & feel free to think of them in different ways entirely.

The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) & 12/11 (151) cents. I've found that they generally function as 13/12, since they fall 3/2 away from 13/8. But you can discover these things for yourself, if you like, & feel free to think of them in different ways entirely.

Interestingly, the 7-note neutral scale does not allow you to build any minor or major triads whatsoever. You have only one minor 3rd, which occurs with a diminished 5th, but no perfect fifth, allowing you to build a diminished triad, but no minor triad. You have no major thirds at all. In JI-terms, you might say that it contains harmonies based on 2, 3, & 13, while skipping 7 & 11.

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<br />

As you can see, these modes contain many neutral 2nds &amp; 3rds, making it sound very different from the traditional major-minor Western harmonic &amp; melodic system, while having a coherent structure including ample 4ths &amp; 5ths that help ground the scale. The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 3/8 - 841 cents. Thus, their inversions, the 17edo neutral thirds come very close to 16/13.<br />

As you can see, these modes contain many neutral 2nds &amp; 3rds, making it sound very different from the traditional major-minor Western harmonic &amp; melodic system, while having a coherent structure including ample 4ths &amp; 5ths that help ground the scale. The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 13/8 - 841 cents. Thus, their inversions, the 17edo neutral thirds come very close to 16/13.<br />

<br />

The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) &amp; 12/11 (151) cents. I've found that they generally function as 13/12, since they fall 3/2 away from 3/8. But you can discover these things for yourself, if you like, &amp; feel free to think of them in different ways entirely.<br />

The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) &amp; 12/11 (151) cents. I've found that they generally function as 13/12, since they fall 3/2 away from 13/8. But you can discover these things for yourself, if you like, &amp; feel free to think of them in different ways entirely.<br />

<br />

Interestingly, the 7-note neutral scale does not allow you to build any minor or major triads whatsoever. You have only one minor 3rd, which occurs with a diminished 5th, but no perfect fifth, allowing you to build a diminished triad, but no minor triad. You have no major thirds at all. In JI-terms, you might say that it contains harmonies based on 2, 3, &amp; 13, while skipping 7 &amp; 11.<br />

@@ 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-09-01 17:39:09 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-09-01 17:45:00 UTC</tt>.<br>
-: The original revision id was <tt>36653417</tt>.<br>
+: The original revision id was <tt>36654047</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>typo</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>
@@ Line 72: / Line 72: @@
 || 7 || led || .0 2 4 7 9 12 14 (0) || .0 141 282 494 635 847 988 (1200) || .P1 N2 m3 P4 d5 N6 m7 (P8) || .2 2 3 2 3 2 3 ||
-As you can see, these modes contain many neutral 2nds &amp; 3rds, making it sound very different from the traditional major-minor Western harmonic &amp; melodic system, while having a coherent structure including ample 4ths &amp; 5ths that help ground the scale.  The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 3/8 - 841 cents.  Thus, their inversions, the 17edo neutral thirds come very close to 16/13.
+As you can see, these modes contain many neutral 2nds &amp; 3rds, making it sound very different from the traditional major-minor Western harmonic &amp; melodic system, while having a coherent structure including ample 4ths &amp; 5ths that help ground the scale.  The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 13/8 - 841 cents.  Thus, their inversions, the 17edo neutral thirds come very close to 16/13.
-The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) &amp; 12/11 (151) cents.  I've found that they generally function as 13/12, since they fall 3/2 away from 3/8.  But you can discover these things for yourself, if you like, &amp; feel free to think of them in different ways entirely.
+The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) &amp; 12/11 (151) cents.  I've found that they generally function as 13/12, since they fall 3/2 away from 13/8.  But you can discover these things for yourself, if you like, &amp; feel free to think of them in different ways entirely.
 Interestingly, the 7-note neutral scale does not allow you to build any minor or major triads whatsoever.  You have only one minor 3rd, which occurs with a diminished 5th, but no perfect fifth, allowing you to build a diminished triad, but no minor triad.  You have no major thirds at all.  In JI-terms, you might say that it contains harmonies based on 2, 3, &amp; 13, while skipping 7 &amp; 11.
@@ Line 260: / Line 260: @@
 &lt;br /&gt;
-As you can see, these modes contain many neutral 2nds &amp;amp; 3rds, making it sound very different from the traditional major-minor Western harmonic &amp;amp; melodic system, while having a coherent structure including ample 4ths &amp;amp; 5ths that help ground the scale.  The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 3/8 - 841 cents.  Thus, their inversions, the 17edo neutral thirds come very close to 16/13.&lt;br /&gt;
+As you can see, these modes contain many neutral 2nds &amp;amp; 3rds, making it sound very different from the traditional major-minor Western harmonic &amp;amp; melodic system, while having a coherent structure including ample 4ths &amp;amp; 5ths that help ground the scale.  The 17edo neutral sixths, at 847 cents, come very close to the 13th harmonic - JI interval 13/8 - 841 cents.  Thus, their inversions, the 17edo neutral thirds come very close to 16/13.&lt;br /&gt;
 &lt;br /&gt;
-The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) &amp;amp; 12/11 (151) cents.  I've found that they generally function as 13/12, since they fall 3/2 away from 3/8.  But you can discover these things for yourself, if you like, &amp;amp; feel free to think of them in different ways entirely.&lt;br /&gt;
+The 17edo neutral 2nds, at 141 cents, fall between 13/12 (139 cents) &amp;amp; 12/11 (151) cents.  I've found that they generally function as 13/12, since they fall 3/2 away from 13/8.  But you can discover these things for yourself, if you like, &amp;amp; feel free to think of them in different ways entirely.&lt;br /&gt;
 &lt;br /&gt;
 Interestingly, the 7-note neutral scale does not allow you to build any minor or major triads whatsoever.  You have only one minor 3rd, which occurs with a diminished 5th, but no perfect fifth, allowing you to build a diminished triad, but no minor triad.  You have no major thirds at all.  In JI-terms, you might say that it contains harmonies based on 2, 3, &amp;amp; 13, while skipping 7 &amp;amp; 11.&lt;br /&gt;