Armodue harmony: Difference between revisions
Wikispaces>tetraF **Imported revision 162970835 - Original comment: ** |
Wikispaces>tetraF **Imported revision 162971727 - Original comment: ** |
||
Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:tetraF|tetraF]] and made on <tt>2010-09-15 18: | : This revision was by author [[User:tetraF|tetraF]] and made on <tt>2010-09-15 18:30:02 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>162971727</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
Line 16: | Line 16: | ||
=Two theses supporting the system= | =Two theses supporting the system= | ||
==The supremacy of the fifth | ==The supremacy of the fifth and the seventh harmonic in Armodue== | ||
The twelve note system that has been ruling for several centuries is based on the third harmonic of the overtone series, which forms a perfect twelfth (octave-reducible to a perfect fifth) with the first harmonic or fundamental. Also, the pythagorean tradion - the cycle of fifths - is based on the perfect fifth and hence on the same frequency ratio 3:2. | The twelve note system that has been ruling for several centuries is based on the third harmonic of the overtone series, which forms a perfect twelfth (octave-reducible to a perfect fifth) with the first harmonic or fundamental. Also, the pythagorean tradion - the cycle of fifths - is based on the perfect fifth and hence on the same frequency ratio 3:2. | ||
Line 377: | Line 377: | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Two theses supporting the system"></a><!-- ws:end:WikiTextHeadingRule:0 -->Two theses supporting the system</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Two theses supporting the system"></a><!-- ws:end:WikiTextHeadingRule:0 -->Two theses supporting the system</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Two theses supporting the system-The supremacy of the fifth | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Two theses supporting the system-The supremacy of the fifth and the seventh harmonic in Armodue"></a><!-- ws:end:WikiTextHeadingRule:2 -->The supremacy of the fifth and the seventh harmonic in Armodue</h2> | ||
<br /> | <br /> | ||
The twelve note system that has been ruling for several centuries is based on the third harmonic of the overtone series, which forms a perfect twelfth (octave-reducible to a perfect fifth) with the first harmonic or fundamental. Also, the pythagorean tradion - the cycle of fifths - is based on the perfect fifth and hence on the same frequency ratio 3:2.<br /> | The twelve note system that has been ruling for several centuries is based on the third harmonic of the overtone series, which forms a perfect twelfth (octave-reducible to a perfect fifth) with the first harmonic or fundamental. Also, the pythagorean tradion - the cycle of fifths - is based on the perfect fifth and hence on the same frequency ratio 3:2.<br /> |