Editing Augmented second (section)

==Tuning==
An augmented second is [[enharmonically equivalent]] to a [[minor third]] in [[12-tone equal temperament]] ({{Audio|Minor third on C.mid|Play}}), but is distinguished in other tunings. In tunings near [[quarter-comma meantone]] it approximates the [[septimal minor third]] of ratio 7:6 ({{Audio|Septimal minor third on C.mid|Play}}). In [[pythagorean tuning]] and [[schismatic temperament]], however, it closely approximates the [[Minor third|classical minor third]] of ratio 6:5 ({{Audio|Just minor third on C.mid|Play}}). In [[22 equal temperament|superpyth temperament]], the fifth is sharpened so that the augmented second reaches the [[Major third#Harmonic_and_non-harmonic_thirds|classical major third]] of ratio 5:4 ({{Audio|Just major third on C.mid|Play}}).

The 75:64 just augmented second ({{audio|Just augmented second in scale.mid|Play}}) arises in the justly tuned C [[harmonic minor scale]] between A{{music|b}} (tuned to 8:5) and B (tuned to 15:8).<ref>Paul, Oscar (1885). ''[https://books.google.com/books?id=4WEJAQAAMAAJ&q=musical+interval+%22pythagorean+major+third%22 A manual of harmony for use in music-schools and seminaries and for self-instruction]'', p.165. Theodore Baker, trans. G. Schirmer.</ref> It is very close to the 7:6 septimal minor third, differing by a [[septimal kleisma]].