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m Reverted 1 edit by 60.241.105.162 (talk): No, that would be a lame implementation, since OR is cheaper than XOR and here gives the same truth table. (TW)
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[[File:Tercera de picardía i iv i v I.png|thumb|400px|A progression of tertian chords in a minor (i-v-i-iv<math>{}^6_4</math>-i-v-I) ending on a [[Picardy third]] {{audio|Picardy third i iv i v I.mid|play}}]]
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: ''"Tertial" redirects here. For the feathers in a bird's wing see [[tertial feather|tertials]]. For the disease formerly known as ''tertian fever'' see [[Malaria]].''


In [[music theory]], '''''tertian''''' (Latin: ''tertianus'', "of or concerning thirds") describes any [[piece (music)|piece]], [[chord (music)|chord]], [[counterpoint]] etc. constructed from the [[Interval (music)|interval]] of a ([[major third|major]] or [[minor third|minor]]) third.<ref>Benward & Saker (2009). ''Music in Theory and Practice'', Vol. II, p.370. ISBN 978-0-07-310188-0. "Tertian (third based) harmony".</ref> An interval such as that between the notes A and C encompasses 3 [[semitone]] intervals (A-B{{music|b}}-B{{music|natural}}-C) and is termed a [[Minor mode|minor]] third while one such as that between C and E encompasses 4 semitones (C-D{{music|b}}-D{{music|natural}}-E{{music|b}}-E{{music|natural}}) and is called a [[Major mode|major]] third ''(See [[Major and minor]])''.
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[[Image:Quartal chord on A equals thirteenth chord on Bb.png|thumb|right|Quartal chord on A equals [[thirteenth|thirteenth chord]] on B{{music|b}}, distinguished by the [[arrangement]] of [[factor (chord)|chord factors]] {{audio|Quartal chord on A equals thirteenth chord on Bb.mid|Play}}.<ref>Benward & Saker (2009), p.279.</ref>]]
 
A common [[Triad (music)|triad]] chord can be regarded as consisting of a "stack" of two such intervals. A musical scale may also be analysed as a succession of thirds ''(See [[Ladder of thirds]])''. The [[meantone temperament]], a system of tuning that emphasises pure thirds, may be called "tertian".
 
Chords built from [[sixth]]s may also be referred to as tertian because an ascending sixth is equal to a descending third and vice versa: any sixth can be taken as the [[inversion (music)|inversion]] of a third. For instance the interval C-A is a major sixth that, when inverted, gives the interval A-C, which is a minor third.
 
Tertian concepts have been used innovatively in [[chord progression]]s, as for example in the "thirds cycle" used in John Coltrane' [[Coltrane changes]].
 
==See also==
*[[Secundal]]
*[[Quartal and quintal harmony]]
*[[Polychord]]
 
==Sources==
<references/>
 
[[Category:Chords]]

Revision as of 18:06, 28 February 2014


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