Sensamagic dominant chord: Difference between revisions

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The '''sensamagic dominant chord''' (or '''Canovian chord''' since it was first explored by [[Flora Canou]]) refers to the [[sensamagic]] tempered chord of ratios 1-[[9/7]]-[[12/7]]. It features two instances of voice leading by [[28/27]] in the resolution to the tonic.

The '''sensamagic dominant chord''' (or '''Canovian chord''' since it was first explored by [[Flora Canou]]) refers to the [[sensamagic]] tempered chord of ratios 1-[[9/7]]-[[12/7]] built on the dominant. It features two instances of voice leading by [[28/27]] in the resolution to the tonic.

[[File:Canovian Chord 19-ET.png|thumb|right|Canovian chord notated in 19-ET]]

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== Construction ==

The chord consists of a tempered 1-9/7-12/7, usually built on the fifth note of a diatonic scale – it is a dominant chord after all. The root is [[3/2]] above the tone to which it desires to resolve. The 9/7 is 28/27 below the tonic. By the tempering of sensamagic, the 12/7 is simultaneously 140/81, which is 28/27 above [[5/3]], the latter being [[5/4]] with respect to the tonic. For this reason the 12/7~140/81 is a supermajor sixth in terms of chord construction, and an inframinor seventh in terms of voice leading. The 140/81 spelling is arguably preferable for staff notation as it highlights the voice leading, shown on the right. The progression with respect to the tonic is

The chord consists of a tempered 1-9/7-12/7, usually built on the fifth note of a diatonic scale – it is a dominant chord after all. The root is [[3/2]] above the tone to which it desires to resolve. The 9/7 is 28/27 below the tonic. By the tempering of sensamagic, the 12/7 is simultaneously 140/81, which is 28/27 above [[5/3]], the latter being [[5/4]] with respect to the tonic. For this reason the 12/7~140/81 is a supermajor sixth in terms of chord construction, and an inframinor seventh in terms of voice leading. The 140/81 spelling is arguably preferable for staff notation as it highlights the voice leading, shown on the right. The fifth of 3/2 can be added, omitted here for simplicity. The progression with respect to the tonic is

<math>\text {(Sensamagic) } 3/4–27/28–9/7 \rightarrow 1–5/4–3/2</math>

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-The '''sensamagic dominant chord''' (or '''Canovian chord''' since it was first explored by [[Flora Canou]]) refers to the [[sensamagic]] tempered chord of ratios 1-[[9/7]]-[[12/7]]. It features two instances of voice leading by [[28/27]] in the resolution to the tonic.
+The '''sensamagic dominant chord''' (or '''Canovian chord''' since it was first explored by [[Flora Canou]]) refers to the [[sensamagic]] tempered chord of ratios 1-[[9/7]]-[[12/7]] built on the dominant. It features two instances of voice leading by [[28/27]] in the resolution to the tonic.
 [[File:Canovian Chord 19-ET.png|thumb|right|Canovian chord notated in 19-ET]]
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 == Construction ==
-The chord consists of a tempered 1-9/7-12/7, usually built on the fifth note of a diatonic scale – it is a dominant chord after all. The root is [[3/2]] above the tone to which it desires to resolve. The 9/7 is 28/27 below the tonic. By the tempering of sensamagic, the 12/7 is simultaneously 140/81, which is 28/27 above [[5/3]], the latter being [[5/4]] with respect to the tonic. For this reason the 12/7~140/81 is a supermajor sixth in terms of chord construction, and an inframinor seventh in terms of voice leading. The 140/81 spelling is arguably preferable for staff notation as it highlights the voice leading, shown on the right. The progression with respect to the tonic is
+The chord consists of a tempered 1-9/7-12/7, usually built on the fifth note of a diatonic scale – it is a dominant chord after all. The root is [[3/2]] above the tone to which it desires to resolve. The 9/7 is 28/27 below the tonic. By the tempering of sensamagic, the 12/7 is simultaneously 140/81, which is 28/27 above [[5/3]], the latter being [[5/4]] with respect to the tonic. For this reason the 12/7~140/81 is a supermajor sixth in terms of chord construction, and an inframinor seventh in terms of voice leading. The 140/81 spelling is arguably preferable for staff notation as it highlights the voice leading, shown on the right. The fifth of 3/2 can be added, omitted here for simplicity. The progression with respect to the tonic is
 <math>\text {(Sensamagic) } 3/4–27/28–9/7 \rightarrow 1–5/4–3/2</math>