Major seventh chord: Difference between revisions

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list 3-limit later, since the 243-odd 3-limit chord appears to be a tempered approximation of the 15-odd 5-limit one
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== JI Tunings ==
== JI Tunings ==
In the [[5-limit]]:
* [[8:10:12:15]] is found on on the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.


In the [[3-limit]]:
In the [[3-limit]]:
* [[128:162:192:243]] spans five octave-reduced fifths, and may be considered a 3-limit approximation of 8:10:12:15.
* [[128:162:192:243]] spans five octave-reduced fifths, and may be considered a 3-limit approximation of 8:10:12:15.
In the [[5-limit]]:
* [[8:10:12:15]] is found on on the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), perhaps the most common [[5-limit]] diatonic.


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

Revision as of 03:40, 14 August 2024

English Wikipedia has an article on:

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

JI Tunings

In the 5-limit:

  • 8:10:12:15 is found on on the I (11) and IV (43) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.

In the 3-limit:

  • 128:162:192:243 spans five octave-reduced fifths, and may be considered a 3-limit approximation of 8:10:12:15.