4:5:6: Difference between revisions

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TallKite (talk | contribs)
on 2nd thought, deleted the 11-limit chord, not nearly as common as the other ones.
Line 11: Line 11:
* [[20:25:30:36]] adds 9/5
* [[20:25:30:36]] adds 9/5
* [[4:5:6:7]] adds 7/4 (7-limit)
* [[4:5:6:7]] adds 7/4 (7-limit)
* [[12:15:18:22]] adds 11/6 (11-limit)


[[Category:Major triads|#]] <!-- 1-digit first number -->
[[Category:Major triads|#]] <!-- 1-digit first number -->

Revision as of 04:15, 29 October 2025

Chord information
Harmonics 4:5:6
Subharmonics 1/(15:12:10)
Intervals from root 1/15/43/2
Cents from root 386¢702¢
Step intervals 5/4, 6/5
Step cents 386¢, 316¢
Color name yo or y
Prime limit 5
Genus 35 (15)
Intervallic odd limit 5
Otonal odd limit 5
Utonal odd limit 15
Consistent edos (d ≥ 2) 3edo*, 12edo*, 15edo*, 19edo**, …

4:5:6 is the classical major triad, also known as the Ptolemaic major triad. It has the lowest odd limit of all the JI triads.

It is found on the I (11), IV (43), and V (32) of Ptolemy's intense diatonic scale (Zarlino), a very common 5-limit diatonic.

Common tetrads based on this triad (5-limit except where noted):