20:25:30:36: Difference between revisions

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{{Infobox Chord|20:25:30:36}}
{{Infobox Chord|20:25:30:36|ColorName=yo gu-7 or y,g7}}
'''20:25:30:36''', a ''major-minor seventh chord'', is a [[tetrad]] in [[5-limit]] harmony, 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.
'''20:25:30:36''' is a ''major-minor seventh chord'', 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 [[10:12:15:18|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 ({{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 [[Meantone_family#Septimal_meantone|septimal meantone]], 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 [[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]].
 
If [[128/125]] is tempered out, this chord is tuned identically to both [[256:320:375:450]] and [[128:160:192:225]].


[[Category:Dominant seventh chords|##]] <!-- 2-digit first number -->
[[Category:Dominant seventh chords|##]] <!-- 2-digit first number -->

Latest revision as of 06:04, 4 December 2024

Chord information
Harmonics 20:25:30:36
Subharmonics 1/(45:36:30:25)
Intervals from root 1/1 – 5/4 – 3/2 – 9/5
Cents from root 0¢ 386¢ 702¢ 1018¢
Step intervals 5/4, 6/5, 6/5
Step cents 386¢, 316¢, 316¢
Color name yo gu-7 or y,g7
Prime limit 5
Genus 32 ⋅ 52 (225)
Intervallic odd limit 25
Otonal odd limit 25
Utonal odd limit 45
Consistent edos (d ≥ 2) 19edo**, 34edo*, 38edo*, 46edo*, …

20:25:30:36 is a major-minor seventh chord, 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 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 (11) and IV (43) 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.

If 128/125 is tempered out, this chord is tuned identically to both 256:320:375:450 and 128:160:192:225.