20:25:28:35

Revision as of 13:12, 24 August 2024 by 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.)
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¢
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 7-limit chord corresponding to a septimal 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.