Editing Minor third (section)

==Pythagorean minor third<!--[[Pythagorean minor third]] and [[semiditone]] redirect directly here.-->==
[[File:Semiditone.png|thumb|Semiditone as two octaves minus three justly tuned fifths]]
{{stack|[[File:Semiditone on C.png|thumb|Semiditone (32:27) on C[[File:Pythagorean minor third on C.mid]]]]}}
In [[music theory]], a ''semiditone'' (or ''Pythagorean minor third'')<ref>[[John Fonville]]. "[[Ben Johnston (composer)|Ben Johnston]]'s Extended Just Intonation – A Guide for Interpreters", p. 124, ''[[Perspectives of New Music]]'', vol. 29, no. 2 (Summer 1991), pp. 106-137.</ref> is the [[Interval (music)|interval]] 32:27 (approximately 294.13 [[Cent (music)|cents]]). It is the minor third in [[Pythagorean tuning]]. The 32:27 Pythagorean minor third arises in the [[5-limit]] [[justly tuned major scale]] between the 2nd and 4th degrees (in the C [[major scale]], between D and F).<ref>[[Oscar Paul|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> {{audio|Pythagorean minor third in scale.mid|Play}}

It can be thought of as two [[octave]]s minus three [[Just intonation|justly tuned]] [[Perfect fifth|fifths]]. It is narrower than a justly tuned minor third by a [[syntonic comma]]. Its inversion is a [[Pythagorean major sixth]].{{cn|date=March 2024}}