Harmonic series: Difference between revisions
Wikispaces>Sarzadoce **Imported revision 245281927 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 295020030 - Original comment: ** |
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<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> | ||
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The overtone series can be mathematically generated by [[Gallery of Just Intervals|frequency ratios]] 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum. | The overtone series can be mathematically generated by [[Gallery of Just Intervals|frequency ratios]] 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum. | ||
The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum. | The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum. | ||
Steps between adjacent members of either series are called "[[superparticular]]," | Steps between adjacent members of either series are called "[[superparticular]]," and they appear in the form (n+1)/n, eg. 4/3, 28/27, 33/32... | ||
In just intonation theory, the overtone series is often treated as the foundation of consonance. | In just intonation theory, the overtone series is often treated as the foundation of consonance. | ||
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The overtone series can be mathematically generated by <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">frequency ratios</a> 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.<br /> | The overtone series can be mathematically generated by <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">frequency ratios</a> 1/1, 2/1, 3/1, 4/1, 5/1, 6/1, 7/1... ad infinitum.<br /> | ||
The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.<br /> | The undertone series is its inversion: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6, 1/7... ad infinitum.<br /> | ||
Steps between adjacent members of either series are called &quot;<a class="wiki_link" href="/superparticular">superparticular</a>,&quot; | Steps between adjacent members of either series are called &quot;<a class="wiki_link" href="/superparticular">superparticular</a>,&quot; and they appear in the form (n+1)/n, eg. 4/3, 28/27, 33/32...<br /> | ||
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In just intonation theory, the overtone series is often treated as the foundation of consonance.<br /> | In just intonation theory, the overtone series is often treated as the foundation of consonance.<br /> | ||