20:25:28:35: Difference between revisions

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mention relationship to essentially-tempered Marvel chord
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{{Infobox Chord}}
{{Infobox Chord}}


'''20:25:28:35''' is a 7-limit interpretation of the [[French sixth chord]] — particularly in [[septimal meantone]], in which it is tuned identically to [[128:160:180:225]].
'''20:25:28:35''' is a 7-limit interpretation of the [[French sixth chord]].
 
In [[septimal meantone]] and [[marvel temperament]], it is tuned identically to [[128:160:180:225]], and becomes an [[essentially tempered chord]] in the [[9-odd-limit]] due to the [[28/25]] interval being equated with [[9/8]].


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

Revision as of 04:52, 21 August 2024

Chord information
Harmonics 20:25:28:35
Subharmonics 1/(35:28:25:20)
Intervals from root 1/15/47/57/4
Cents from root 386¢583¢969¢
Step intervals 5/4, 28/25, 5/4
Step cents 386¢, 196¢, 386¢
Prime limit 7
Genus 527 (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 interpretation of the French sixth chord.

In septimal meantone and marvel temperament, it is tuned identically to 128:160:180:225, and becomes an essentially tempered chord in the 9-odd-limit due to the 28/25 interval being equated with 9/8.