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Wolf interval
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=== Keep the piano keyboard === When the perfect fifth is tempered to be exactly {{nobr|{{math|700}} [[cent (music)|cents]]}} wide (that is, tempered by about {{sfrac|1|11}} of a [[syntonic comma]], or precisely {{sfrac|1|12}} of a [[Pythagorean comma]]) then the tuning is identical to the now-standard 12 tone [[equal temperament]]. Because of the compromises (and wolf intervals) forced on meantone tunings by the one-dimensional piano-style keyboard, [[well temperament]]s and eventually 12-tone equal temperament became more popular. A fifth of the size Mozart favored, at or near the [[55 equal temperament]] fifth of 698.182 cents, will have a wolf of {{nobr|{{math|720}} cents:}} {{nobr|{{math|18.045}} cents}} sharper than a justly tuned fifth. This howls far less acutely, but is still noticeable. The wolf can be "tamed" by adopting [[equal temperament]] or a [[well temperament]]. The very intrepid may simply want to treat it as a [[xenharmonic music]] interval; depending on the size of the meantone fifth, the wolf fifth can be tuned to more complex [[just intonation|just]] ratios 20:13, 26:17, 17:11, 32:21, or 49:32. With a more extreme meantone temperament, like [[19 equal temperament]], the wolf is large enough that it is closer in size to a sixth than a fifth, and sounds like a different interval altogether rather than a mistuned fifth.
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