Minor seventh chord: Difference between revisions

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Bcmills (talk | contribs)
Bcmills (talk | contribs)
reorder to describe the lower-odd-limit 5-limit chords first, and mention that the 3-limit chord approximates both.
Line 3: Line 3:


== JI tunings ==
== JI tunings ==
In the [[3-limit]]:
 
* [[54:64:81:96]] is found on the ii ({{Frac|9|8}}), iii ({{Frac|81|64}}), and vi ({{Frac|27|16}}) of the Pythagorean diatonic scale.
In the [[5-limit]]:
In the [[5-limit]]:
* [[10:12:15:18]] is found on the iii ({{Frac|5|4}}) and vi ({{Frac|5|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common 5-limit diatonic.
* [[10:12:15:18]] is found on the iii ({{Frac|5|4}}) and vi ({{Frac|5|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common 5-limit diatonic.
* [[27:32:40:48]] is found on the ii ({{Frac|9|8}}) of Ptolemy's intense diatonic scale.
* [[27:32:40:48]] is found on the ii ({{Frac|9|8}}) of Ptolemy's intense diatonic scale.
In the [[3-limit]]:
* [[54:64:81:96]] is found on the ii ({{Frac|9|8}}), iii ({{Frac|81|64}}), and vi ({{Frac|27|16}}) of the Pythagorean diatonic scale, and may be considered a 3-limit approximation of both 10:12:15:18 and 27:32:40:48.


[[Category:Minor seventh chords| ]]
[[Category:Minor seventh chords| ]]
[[Category:Just intonation chords]]
[[Category:Just intonation chords]]

Revision as of 03:59, 14 August 2024

English Wikipedia has an article on:

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

JI tunings

In the 5-limit:

  • 10:12:15:18 is found on the iii (54) and vi (53) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.
  • 27:32:40:48 is found on the ii (98) of Ptolemy's intense diatonic scale.

In the 3-limit:

  • 54:64:81:96 is found on the ii (98), iii (8164), and vi (2716) of the Pythagorean diatonic scale, and may be considered a 3-limit approximation of both 10:12:15:18 and 27:32:40:48.