72:90:100:125: Difference between revisions

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Bcmills (talk | contribs)
remove redundant “5-limit” mentions. all meantones temper this chord in the 5-limit, and the fact that it is a 5-limit chord is now included in the infobox.
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{{Infobox Chord}}
{{Infobox Chord}}


'''72:90:100:125''' is a possible interpretation of the meantone [[French sixth chord]] in the [[5-limit]].
'''72:90:100:125''' is a possible interpretation of the meantone [[French sixth chord]].


In 5-limit meantone, this chord is tempered to be equivalent to a tempered [[128:160:180:225]].
In [[meantone]], this chord is tempered to be equivalent to a tempered [[128:160:180:225]].


In [[septimal meantone]], it is tempered to be equivalent to [[20:25:28:35]].
In [[septimal meantone]], it is tempered to be equivalent to [[20:25:28:35]].


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

Revision as of 00:51, 28 August 2024

Chord information
Harmonics 72:90:100:125
Subharmonics 1/(125:100:90:72)
Intervals from root 1/1 – 5/4 – 25/18 – 125/72
Cents from root 0¢ 386¢ 569¢ 955¢
Step intervals 5/4, 10/9, 5/4
Step cents 386¢, 182¢, 386¢
Prime limit 5
Genus 32 ⋅ 53 (1125)
Intervallic odd limit 125
Otonal odd limit 125
Utonal odd limit 125
Consistent edos (d ≥ 2) 6edo*, 19edo**, 25edo*, 34edo*, …

72:90:100:125 is a possible interpretation of the meantone French sixth chord.

In meantone, this chord is tempered to be equivalent to a tempered 128:160:180:225.

In septimal meantone, it is tempered to be equivalent to 20:25:28:35.