54:64:81: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Bcmills (talk | contribs)
Undo revision 152844 by CompactStar (talk) — consensus in Discord discussion seems to be to remove “Name” from the infobox and replace with a (non-unique) “Category” or “Form”.
Tag: Undo
Bcmills (talk | contribs)
clarify relationship to 5-limit chords (specifically, via meantone)
Line 2: Line 2:
'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s|diatonic scale]].
'''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s|diatonic scale]].


It may be considered a 3-limit approximation of [[10:12:15]] and [[27:32:40]], or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].
In [[meantone]] this chord is [[tempered together]] with both [[10:12:15]] and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is [[ambitonal]].


[[Category:Minor triads|##]] <!-- 2-digit first number -->
[[Category:Minor triads|##]] <!-- 2-digit first number -->

Revision as of 03:14, 31 August 2024

Chord information
Harmonics 54:64:81
Subharmonics 1/(96:81:64)
Intervals from root 1/132/273/2
Cents from root 294¢702¢
Step intervals 32/27, 81/64
Step cents 294¢, 408¢
Prime limit 3
Genus 34 (81)
Intervallic odd limit 81
Otonal odd limit 81
Utonal odd limit 81
Consistent edos (d ≥ 2) 12edo**, 17edo*, 24edo*, 29edo*, …

54:64:81, is a minor triad found on the ii, iii, and vi of the 3-limit diatonic scale.

In meantone this chord is tempered together with both 10:12:15 and 27:32:40, so it may be considered a 3-limit approximation of those chords, or a chord in its own right with a less-stable third. Unlike 10:12:15, 54:64:81 is ambitonal.