Minor-major seventh chord: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Bcmills (talk | contribs)
Bcmills moved page Minor-major seventh chord to 40:48:60:75
Tag: New redirect
 
Complete section
 
(12 intermediate revisions by 4 users not shown)
Line 1: Line 1:
#REDIRECT [[40:48:60:75]]
{{Wikipedia|Minor major seventh chord}}
A '''minor-major seventh chord''' is a [[tetrad]] comprising a root, [[minor]] third, [[perfect]] fifth, and [[major]] seventh.
 
== In temperaments ==
The minor-major seventh chord is a [[15-odd-limit]] [[essentially tempered chord]] in [[marvel]] and thus in [[septimal meantone]], for which the historically prevalent [[quarter-comma meantone]] is a good tuning, with the augmented fifth between the third and the seventh being [[75/48]], [[tempering together|tempered together]] with [[14/9]].
 
* (Marvel) 1–6/5–3/2–15/8
 
== In just intonation ==
In the [[5-limit]]:
* [[40:48:60:75]] is found on the I ({{Frac|1|1}}), IV ({{Frac|4|3}}), and V ({{Frac|3|2}}) of the [[duodene]].
 
In the [[3-limit]]:
* [[3456:4096:5184:6561]] spans eight octave-reduced fifths, and may be considered a 3-limit approximation of 40:48:60:75.
 
[[Category:Minor-major seventh chords| ]]
[[Category:Just intonation chords]]

Latest revision as of 09:59, 23 December 2024

English Wikipedia has an article on:

A minor-major seventh chord is a tetrad comprising a root, minor third, perfect fifth, and major seventh.

In temperaments

The minor-major seventh chord is a 15-odd-limit essentially tempered chord in marvel and thus in septimal meantone, for which the historically prevalent quarter-comma meantone is a good tuning, with the augmented fifth between the third and the seventh being 75/48, tempered together with 14/9.

  • (Marvel) 1–6/5–3/2–15/8

In just intonation

In the 5-limit:

  • 40:48:60:75 is found on the I (11), IV (43), and V (32) of the duodene.

In the 3-limit:

  • 3456:4096:5184:6561 spans eight octave-reduced fifths, and may be considered a 3-limit approximation of 40:48:60:75.