3456:4096:5184:6561: Difference between revisions

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Bcmills (talk | contribs)
mention that this is formed by stacking thirds, to clarify that it is not found in the diatonic scale
Bcmills (talk | contribs)
clarify relationship to 5-limit chords (specifically, via meantone)
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'''3456:4096:5184:6561''' is a [[minor-major seventh chord]] formed by stacking [[3-limit]] minor and major thirds.
'''3456:4096:5184:6561''' is a [[minor-major seventh chord]] formed by stacking [[3-limit]] minor and major thirds.


It may be considered an approximation of [[40:48:60:75]], tempering the third and seventh by 80/81 and [[81/80]] respectively.
In [[meantone]] this chord is [[tempered together]] with [[40:48:60:75]], tempering the third and seventh by 80/81 and [[81/80]] respectively.


[[Category:Minor-major seventh chords|####]]
[[Category:Minor-major seventh chords|####]]

Revision as of 03:34, 31 August 2024

Chord information
Harmonics 3456:4096:5184:6561
Subharmonics 1/(7776:6561:5184:4096)
Intervals from root 1/1 – 32/27 – 3/2 – 243/128
Cents from root 0¢ 294¢ 702¢ 1110¢
Step intervals 32/27, 81/64, 81/64
Step cents 294¢, 408¢, 408¢
Prime limit 3
Genus 38 (6561)
Intervallic odd limit 6561
Otonal odd limit 6561
Utonal odd limit 6561
Consistent edos (d ≥ 2) 12edo*, 41edo*, 53edo****, 65edo*

3456:4096:5184:6561 is a minor-major seventh chord formed by stacking 3-limit minor and major thirds.

In meantone this chord is tempered together with 40:48:60:75, tempering the third and seventh by 80/81 and 81/80 respectively.