Armodue harmony: Difference between revisions

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**Imported revision 162970835 - Original comment: **
Wikispaces>tetraF
**Imported revision 162971727 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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=Two theses supporting the system=  
=Two theses supporting the system=  


==The supremacy of the fifth and and the seventh harmonic in Armodue==  
==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.
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&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Two theses supporting the system-The supremacy of the fifth and and the seventh harmonic in Armodue"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;The supremacy of the fifth and and the seventh harmonic in Armodue&lt;/h2&gt;
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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.&lt;br /&gt;
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.&lt;br /&gt;