27:32:40

Chord information

Harmonics	27:32:40
Subharmonics	1/(160:135:108)
Intervals from root	1/1–32/27–40/27
Cents from root	0¢–294¢–680¢
Step intervals	32/27, 5/4
Step cents	294¢, 386¢
Color name	wa yo-5 or w(y5)
Prime limit	5
Genus	33⋅5 (135)
Intervallic odd limit	27
Otonal odd limit	27
Utonal odd limit	135
Consistent edos (d ≥ 2)	9edo*, 12edo*, 16edo*, 21edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

27:32:40 is a 5-limit minor triad found on the ii (9⁄8) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. Unlike 10:12:15, which appears on the iii and vi of the same scale, 27:32:40 is otonal.

As has been noted by multiple theorists of a more traditional Western Classical school of thought, this chord is not ideal when situated on the ii scale degree of a major scale, for a number of different possible reasons. However, because of the way 5-limit diatonic music works, the occurrence of this chord in a simple 5-limit diatonic scale is inevitable outside of meantone. Thus, Aura has decided to place this chord on the vi scale degree while using 54:64:81 on the ii scale degree in his diatonic major scales. This has the effect of allowing the vi-ii-V-I sequence in the major scale's circle progression to actually function in such a way as to make each chord in the sequence seem progressively less tense, thus making the progression overall more coherent.