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Wolf interval
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=== Quarter comma meantone === In [[quarter-comma meantone]], the frequency ratio for the fifth is {{math|{{radic| 5β―| 4 }} }}, which is about {{nobr|{{math|3.42157}} cents}} flatter than an equal tempered {{nobr|{{math|700}} cents,}} (or exactly one twelfth of a [[diesis]]) and so the wolf is about {{nobr|{{math|737.637}} cents,}} or {{nobr|{{math|35.682}} cents}} sharper than a [[perfect fifth]] of ratio exactly {{nobr|{{math|3:2}},}} and this is the original "howling" wolf fifth. The flat minor thirds are only about {{nobr|{{math|2.335}} cents}} sharper than a [[Septimal minor third|subminor third]] of ratio {{math|7:6}}, and the sharp major thirds, of ratio exactly {{nobr|{{math|32:25}},}} are about {{nobr|{{math|7.712}} cents}} flatter than the [[Septimal major third|supermajor third]] of {{nobr|{{math|9:7}} .}} Meantone tunings with slightly flatter fifths produce even closer approximations to the subminor and supermajor thirds and corresponding triads. These thirds therefore hardly deserve the appellation of wolf, and in fact historically have not been given that name. The wolf fifth of quarter-comma meantone can be approximated by the 7-limit [[just intonation|just]] interval {{math|49:32}}, which has a size of {{nobr|{{math|737.652}} cents.}}
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