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.
TallKite (talk | contribs)
deleted scale information (off-topic)
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{{Infobox Chord|ColorName=yo or y}}
{{Infobox Chord|ColorName=yo or y}}
'''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.
'''4:5:6''' is the just [[major triad]], also known as the '''Ptolemaic major triad'''. It is the most consonant of all the just intonation [[Triad|triads]].
 
It is found on the I ({{Frac|1|1}}), IV ({{Frac|4|3}}), and V ({{Frac|3|2}}) of Ptolemy's intense diatonic scale ([[Zarlino]]), a very common [[5-limit]] diatonic.


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

Revision as of 20:50, 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 just major triad, also known as the Ptolemaic major triad. It is the most consonant of all the just intonation triads.

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