27:32:40: Difference between revisions

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{{Infobox Chord|ColorName=wa yo-5 or w(y5)}}
{{Infobox Chord|ColorName=wa yo-5 or w(y5)}}


'''27:32:40''' is a 5-limit [[minor triad]] found on the ii ({{Frac|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]].
'''27:32:40''' is a 5-limit [[minor triad]]. The simplest 5-limit tuning of the minor triad is [[10:12:15]], in which the third and fifth are higher by the 81/80 comma. The 27:32:40 triad is considerably more dissonant due to the [[40/27]] wolf fifth. But this triad does occur in various 5-limit diatonic scales, for example Ptolemy's intense diatonic scale ([[Zarlino]]).
 
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, [[User:Aura|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 [[Wikipedia: Circle progression|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.


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

Latest revision as of 01:50, 30 October 2025

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*, …

27:32:40 is a 5-limit minor triad. The simplest 5-limit tuning of the minor triad is 10:12:15, in which the third and fifth are higher by the 81/80 comma. The 27:32:40 triad is considerably more dissonant due to the 40/27 wolf fifth. But this triad does occur in various 5-limit diatonic scales, for example Ptolemy's intense diatonic scale (Zarlino).

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