Adder (electronics): Difference between revisions
Removing rogue italic and bold markings. Some may need to be replaced, but the paragraph was basically unreadable as it was. |
en>Dicklyon 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}}]] | |||
{{wiktionary}} | |||
: ''"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]])''. | |||
[[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 08:30, 2 February 2014
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- "Tertial" redirects here. For the feathers in a bird's wing see tertials. For the disease formerly known as tertian fever see Malaria.
In music theory, tertian (Latin: tertianus, "of or concerning thirds") describes any piece, chord, counterpoint etc. constructed from the interval of a (major or minor) third.[1] An interval such as that between the notes A and C encompasses 3 semitone intervals (A-BTemplate:Music-BTemplate:Music-C) and is termed a minor third while one such as that between C and E encompasses 4 semitones (C-DTemplate:Music-DTemplate:Music-ETemplate:Music-ETemplate:Music) and is called a major third (See Major and minor).
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A common 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 sixths 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 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 progressions, as for example in the "thirds cycle" used in John Coltrane' Coltrane changes.