128:160:192:225: Difference between revisions

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{{Infobox Chord|Name=Neapolitan,German sixth}}
{{Infobox Chord|Name=Neapolitan,German sixth}}
'''128:160:192:225''' (1⁄1–5⁄4–3⁄2–225⁄128), an inversion of the ''Neapolitan''[https://en.wikipedia.org/wiki/Neapolitan_chord] or ''German sixth''[https://en.wikipedia.org/wiki/Augmented_sixth_chord#German_sixth] chord, is found rooted at [[16/15|16⁄15]] (♭II) and [[8/5|8⁄5]] (♭VI) in the [[duodene]].
'''128:160:192:225''', an inversion of the ''Neapolitan''[https://en.wikipedia.org/wiki/Neapolitan_chord] or ''German sixth''[https://en.wikipedia.org/wiki/Augmented_sixth_chord#German_sixth] chord, is found rooted at the ♭II ({{Frac|16|15}}) and ♭VI ({{Frac|8|5}}) of the [[duodene]].


Although [[225/128]] is often considered an augmented sixth rather than a minor seventh, in [[Meantone_family#Septimal_meantone|septimal meantone]] it is tuned identically to the [[7/4|harmonic seventh]], so the chord employing it may be considered a kind of [[dominant seventh chord]].
Although [[225/128]] is often considered an augmented sixth rather than a minor seventh, in [[Meantone_family#Septimal_meantone|septimal meantone]] it is tuned identically to the [[7/4|harmonic seventh]], so the chord employing it may be considered a kind of [[dominant seventh chord]].


[[Category:Dominant seventh chords]]
[[Category:Dominant seventh chords]]

Revision as of 18:47, 12 August 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¢
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, an inversion of the Neapolitan[1] or German sixth[2] chord, is found rooted at the ♭II (1615) and ♭VI (85) of the duodene.

Although 225/128 is often considered an augmented sixth rather than a minor seventh, in septimal meantone it is tuned identically to the harmonic seventh, so the chord employing it may be considered a kind of dominant seventh chord.