20:25:30:36: Difference between revisions
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The major-minor seventh chord is found rooted at the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of the [[duodene]]. | The major-minor seventh chord is found rooted at the I ({{Frac|1|1}}) and IV ({{Frac|4|3}}) of the [[duodene]]. | ||
In the [[meantone]] tuning of this chord, the ~9/5 seventh is equated with [[16/9]], making it equivalent to the meantone tuning of [[36:45:54:64]]. | In the [[meantone]] tuning of this chord, the ~9/5 seventh is equated with ~[[16/9]], making it equivalent to the meantone tuning of [[36:45:54:64]]. | ||
In the [[septimal meantone]] tuning of this chord, the ~36/25 tritone is equated with the more consonant interval [[10/7]], and the major-minor seventh chord becomes an [[essentially tempered chord]] in the [[9-odd-limit]]. | In the [[septimal meantone]] tuning of this chord, the ~36/25 tritone is equated with the more consonant interval [[10/7]], and the major-minor seventh chord becomes an [[essentially tempered chord]] in the [[9-odd-limit]]. | ||
[[Category:Dominant seventh chords|##]] <!-- 2-digit first number --> | [[Category:Dominant seventh chords|##]] <!-- 2-digit first number --> | ||
Revision as of 00:43, 28 August 2024
| Chord information |
20:25:30:36, a major-minor seventh chord, is a tetrad in 5-limit harmony, and sometimes considered a form of dominant seventh chord. It combines a 5/4 major third with the consonant 9/5 seventh that would be found in a Ptolemaic minor seventh chord on the same root, creating a 36/25 tritone between the two.
The major-minor seventh chord is found rooted at the I (1⁄1) and IV (4⁄3) of the duodene.
In the meantone tuning of this chord, the ~9/5 seventh is equated with ~16/9, making it equivalent to the meantone tuning of 36:45:54:64.
In the septimal meantone tuning of this chord, the ~36/25 tritone is equated with the more consonant interval 10/7, and the major-minor seventh chord becomes an essentially tempered chord in the 9-odd-limit.