20:25:28:35: Difference between revisions

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Bcmills (talk | contribs)
Move more description into the lede: the lede of an article shouldn't be a tautology. Also, mention both marvel and starling, since those temper different French sixth chords to be equal to this chord.
TallKite (talk | contribs)
category dom7b5 chords
 
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{{Infobox Chord}}
{{Infobox Chord|ColorName=yo zo-7 zogu-5 or y,z7(zg5), har-7 zogu-5 or h7(zg5)}}


'''20:25:28:35''' is a 7-limit chord corresponding to a septimal interpretation of the [[French sixth chord]].
'''20:25:28:35''' is a [[condissonant]] chord in the 7-limit and a possible interpretation of the [[French sixth chord]].


In [[marvel]] temperament, it is tuned identically to [[128:160:180:225]]; in [[starling]], it is tuned identically to [[72:90:100:125]]; and in [[septimal meantone]] it is tuned the same as both of those. In all of those temperaments, it becomes an [[essentially tempered chord]] in the [[9-odd-limit]] due to the ~[[28/25]] interval being equated with either [[9/8]] or [[10/9]].
In [[marvel]] temperament, it is tuned identically to [[128:160:180:225]]; in [[starling]], it is tuned identically to [[72:90:100:125]]; and in [[septimal meantone]] it is tuned the same as both of those. In all of those temperaments, it becomes an [[essentially tempered chord]] in the [[9-odd-limit]] due to the ~[[28/25]] interval being equated with either [[9/8]] or [[10/9]].


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

Latest revision as of 23:29, 27 September 2024

Chord information
Harmonics 20:25:28:35
Subharmonics 1/(35:28:25:20)
Intervals from root 1/1 – 5/4 – 7/5 – 7/4
Cents from root 0¢ 386¢ 583¢ 969¢
Step intervals 5/4, 28/25, 5/4
Step cents 386¢, 196¢, 386¢
Color names yo zo-7 zogu-5 or y,z7(zg5)
har-7 zogu-5 or h7(zg5)
Prime limit 7
Genus 52 ⋅ 7 (175)
Intervallic odd limit 25
Otonal odd limit 35
Utonal odd limit 35
Consistent edos (d ≥ 2) 6edo*, 25edo*, 31edo**, 37edo*, …

20:25:28:35 is a condissonant chord in the 7-limit and a possible interpretation of the French sixth chord.

In marvel temperament, it is tuned identically to 128:160:180:225; in starling, it is tuned identically to 72:90:100:125; and in septimal meantone it is tuned the same as both of those. In all of those temperaments, it becomes an essentially tempered chord in the 9-odd-limit due to the ~28/25 interval being equated with either 9/8 or 10/9.