128:160:192:225

Revision as of 01:13, 28 August 2024 by Bcmills (talk | contribs) (mention marvel and 12edo explicitly)
Chord information
Harmonics 128:160:192:225
Subharmonics 1/(225:180:150:128)
Intervals from root 1/1 – 5/4 – 3/2 – 225/128
Cents from root 0¢ 386¢ 702¢ 977¢
Step intervals 5/4, 6/5, 75/64
Step cents 386¢, 316¢, 275¢
Prime limit 5
Genus 32 ⋅ 52 (225)
Intervallic odd limit 225
Otonal odd limit 225
Utonal odd limit 225
Consistent edos (d ≥ 2) 22edo*, 31edo*, 53edo*, 65edo*

128:160:192:225, a 5-limit German sixth chord, is found rooted at the ♭II (1615) and ♭VI (85) of the duodene.

225/128 is usually considered an augmented sixth rather than a minor seventh; however, it is often tempered in a way that makes this chord indistinguishable from certain kinds of dominant seventh chord. For example, in septimal meantone and marvel it is tuned identically to the much simpler harmonic seventh chord 4:5:6:7, and in meantone tunings that also temper out the Pythagorean comma (12edo and its multiples) it is tuned identically to 36:45:54:64 and 20:25:30:36.