128:160:192:225: Difference between revisions

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Bcmills (talk | contribs)
remove redundant “5-limit” mentions. the fact that it is a 5-limit chord is now included in the infobox.
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add color name
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{{Infobox Chord}}
{{Infobox Chord|ColorName=yo layoyo-6 or y,Lyy6}}
'''128:160:192:225''', a [[German sixth chord]], is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].
'''128:160:192:225''', a [[German sixth chord]], is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].



Revision as of 19:50, 24 September 2024

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¢
Color name yo layoyo-6 or y,Lyy6
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 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.