72:90:108:125: Difference between revisions

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Created page with "{{Infobox Chord}} '''72:90:108:125''' is a possible interpretation of the meantone German sixth chord in the 5-limit. In 5-limit meantone, this chord is tempered to..."
 
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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 -->

Revision as of 04:24, 20 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 the 5-limit.

In 5-limit 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.