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→Inconsistencies between 12 Tones and Pure Intervals
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! Note
| A1 || E2 || B2 || F{{s}}3 || C{{s}}4 || G{{s}}4 || D{{s}}5 || A{{s}}5 || E{{s}}6 || B{{s}}6 || F{{s}}{{sds}}7 || C{{s}}{{sds}}8 || G{{s}}{{sds}}8 (= A8)
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! Pitch
|}
The A{{b}} - E{{b}} interval above is called a <u>'''Wolf Fifth</u>''', a very noticeable divergence from the desired ratio - it "howls", with noticeable ''beating'' between the notes. For the above tuning scheme, this interval is present in 6 of the 12 major/natural minor keys based on each note of the 12-tone scale.
Depending on the tuning scheme, intervals other than the perfect fifth may also deviate widely from the pure tuning ratio, creating a dissonant harmony. These are often called <u>Wolf Intervals</u>'''wolf intervals'''. They may be present in every key rather than just a subset of those possible based on the 12-tones.
=== Demonstration of Issues with Just Intonation ===
It is possible to make an instrument such that for some note, all the intervals against that note closely reflect their pure tuning intervals - this is called '''just intonation'''. The issue is that it can only be constructed this way for a single note - for other notes, the intervals will actually be further from their pure tunings.
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