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<p>includes the octave from the fourth below the final to the fifth above. The plagal modes are the even-numbered modes 2, 4, 6 and 8, and each takes its name from the corresponding odd-numbered authentic mode with the addition of the prefix "hypo-": <a href="page.php?w=Hypodorian_mode">Hypodorian</a>, <a href="page.php?w=Hypophrygian_mode">Hypophrygian</a>, <a href="page.php?w=Hypolydian_mode">Hypolydian</a>, and <a href="page.php?w=Hypomixolydian_mode">Hypomixolydian</a>.</p>

<p>The earliest definition of plagal mode is found in Hucbald's treatise</p><p>
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