Dominant seventh chord: Difference between revisions

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== In just intonation ==

In the [[3-limit]]:

~~In the [[7-limit]]:~~

* [[576:729:864:1024]] is found on the dominant scale degree (V or {{Frac|3|2}}) of the [[Pythagorean tuning|Pythagorean]] diatonic scale.

* [[4:5:6:7]]~~, the ''harmonic seventh chord'',~~ is ~~a [[concord]] in~~ the ~~7-limit, often used as a tuning target in~~ {{w|~~Harmonic seventh chord #Barbershop seventh~~|~~barbershop music~~}}.

* [[70:90:105:126]] (1/1 - 9/7 - 3/2 - 9/5)

* [[~~28:35:42:50~~]] ~~is a [[condissonant]] chord, and one of the possible interpretations of the dominant seventh in the starling, marvel, and septimal meantone temperaments~~.

In the [[5-limit]]:

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* [[128:160:192:225]], a 5-limit interpretation of an inversion of the {{w|Neapolitan chord|''Neapolitan''}} or {{w|Augmented sixth chord #German sixth|''German sixth chord''}}, is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]]. ([[225/128]] is often considered an augmented sixth rather than a minor seventh, but in septimal meantone and [[marvel]] temperament this chord is tuned identically to 4:5:6:7, and in [[12edo]] and its multiples it is tuned identically to 36:45:54:64 and 20:25:30:36.)

In the [[3-limit]]:

In the [[7-limit]]:

* [[4:5:6:7]], the ''harmonic seventh chord'', is a [[concord]] in the 7-limit, often used as a tuning target in {{w|Harmonic seventh chord #Barbershop seventh|barbershop music}}.

* [[70:90:105:126]] (1/1–9/7–3/2–9/5) is the ''subharmonic seventh chord'', a [[utonal]] [[9-odd-limit]] tetrad which is the inversion of [[6:7:9:10]], the subharmonic sixth chord.

* [[28:35:42:50]] is a [[condissonant]] chord, and one of the possible interpretations of the dominant seventh in the starling, marvel, and septimal meantone temperaments.

* [[~~576~~:~~729~~:~~864~~:~~1024~~]] is found on the ~~dominant~~ scale ~~degree (V or {{Frac|3|2}})~~ of ~~the~~ [[~~Pythagorean tuning|Pythagorean~~]] ~~diatonic scale~~.

* [[28:36:42:49]] is a septimal dominant seventh chord. A tempered version of this chord is found in the diatonic scale of [[superpyth]] temperament.

== See also ==

@@ Line 25: / Line 25: @@
 == In just intonation ==
+In the [[3-limit]]:
-In the [[7-limit]]:
+* [[576:729:864:1024]] is found on the dominant scale degree (V or {{Frac|3|2}}) of the [[Pythagorean tuning|Pythagorean]] diatonic scale.
-* [[4:5:6:7]], the ''harmonic seventh chord'', is a [[concord]] in the 7-limit, often used as a tuning target in {{w|Harmonic seventh chord #Barbershop seventh|barbershop music}}.
-* [[70:90:105:126]] (1/1 - 9/7 - 3/2 - 9/5)
-* [[28:35:42:50]] is a [[condissonant]] chord, and one of the possible interpretations of the dominant seventh in the starling, marvel, and septimal meantone temperaments.
 In the [[5-limit]]:
@@ Line 43: / Line 39: @@
 * [[128:160:192:225]], a 5-limit interpretation of an inversion of the {{w|Neapolitan chord|''Neapolitan''}} or {{w|Augmented sixth chord #German sixth|''German sixth chord''}}, is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]]. ([[225/128]] is often considered an augmented sixth rather than a minor seventh, but in septimal meantone and [[marvel]] temperament this chord is tuned identically to 4:5:6:7, and in [[12edo]] and its multiples it is tuned identically to 36:45:54:64 and 20:25:30:36.)
-In the [[3-limit]]:
+In the [[7-limit]]:
+* [[4:5:6:7]], the ''harmonic seventh chord'', is a [[concord]] in the 7-limit, often used as a tuning target in {{w|Harmonic seventh chord #Barbershop seventh|barbershop music}}.
+* [[70:90:105:126]] (1/1–9/7–3/2–9/5) is the ''subharmonic seventh chord'', a [[utonal]] [[9-odd-limit]] tetrad which is the inversion of [[6:7:9:10]], the subharmonic sixth chord.
+* [[28:35:42:50]] is a [[condissonant]] chord, and one of the possible interpretations of the dominant seventh in the starling, marvel, and septimal meantone temperaments.
-* [[576:729:864:1024]] is found on the dominant scale degree (V or {{Frac|3|2}}) of the [[Pythagorean tuning|Pythagorean]] diatonic scale.
+* [[28:36:42:49]] is a septimal dominant seventh chord. A tempered version of this chord is found in the diatonic scale of [[superpyth]] temperament.
 == See also ==