72:90:108:125: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Bcmills (talk | contribs)
No edit summary
Bcmills (talk | contribs)
remove redundant mentions of the 5-limit. all meantones temper the 5-limt, and the fact that it is a 5-limit chord is clear from the infobox
Line 1: Line 1:
{{Infobox Chord}}
{{Infobox Chord}}


'''72:90:108:125''' is a possible interpretation of the meantone [[German sixth chord]] in the [[5-limit]].
'''72:90:108:125''' is a possible interpretation of the meantone [[German sixth chord]].


In 5-limit meantone, this chord is tempered to be equivalent to a tempered [[128:160:192:225]].
In [[meantone]], this chord is tempered to be equivalent to a tempered [[128:160:192:225]].


In [[septimal meantone]], it is tempered to be equivalent to [[4:5:6:7]].
In [[septimal meantone]], it is tempered to be equivalent to [[4:5:6:7]].


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

Revision as of 00:52, 28 August 2024

Chord information
Harmonics 72:90:108:125
Subharmonics 1/(375:300:250:216)
Intervals from root 1/1 – 5/4 – 3/2 – 125/72
Cents from root 0¢ 386¢ 702¢ 955¢
Step intervals 5/4, 6/5, 125/108
Step cents 386¢, 316¢, 253¢
Prime limit 5
Genus 33 ⋅ 53 (3375)
Intervallic odd limit 125
Otonal odd limit 125
Utonal odd limit 375
Consistent edos (d ≥ 2) 15edo*, 19edo**, 34edo*, 38edo*, …

72:90:108:125 is a possible interpretation of the meantone German sixth chord.

In meantone, this chord is tempered to be equivalent to a tempered 128:160:192:225.

In septimal meantone, it is tempered to be equivalent to 4:5:6:7.