64:81:96: Difference between revisions

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remove “Pythagorean” jargon
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clarify relationship to 5-limit chords (specifically, via meantone)
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'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s|diatonic scale]].
'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s|diatonic scale]].


It is sometimes used as a 3-limit approximation of [[4:5:6]], but is also used in its own right as a chord with a less stable third.
In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord with a less stable third.


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

Revision as of 03:18, 31 August 2024

Chord information
Harmonics 64:81:96
Subharmonics 1/(81:64:54)
Intervals from root 1/181/643/2
Cents from root 408¢702¢
Step intervals 81/64, 32/27
Step cents 408¢, 294¢
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*, …

64:81:96 is a major triad found on the I, IV, and V of the 3-limit diatonic scale.

In meantone this chord is tempered together with 4:5:6; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord with a less stable third.