Adder (electronics)

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Revision as of 08:30, 2 February 2014 by en>Dicklyon (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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A progression of tertian chords in a minor (i-v-i-iv-i-v-I) ending on a Picardy third My name: Lindsey Gavin
My age: 28
Country: Sweden
Home town: Vemdalen
Postal code: 840 92
Address: Buanvagen 79

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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).

Quartal chord on A equals thirteenth chord on BTemplate:Music, distinguished by the arrangement of chord factors My name: Lindsey Gavin
My age: 28
Country: Sweden
Home town: Vemdalen
Postal code: 840 92
Address: Buanvagen 79

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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.

See also

Sources

  1. Benward & Saker (2009). Music in Theory and Practice, Vol. II, p.370. ISBN 978-0-07-310188-0. "Tertian (third based) harmony".
  2. Benward & Saker (2009), p.279.