4:5:6: Difference between revisions

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Eufalesio (talk | contribs)
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Vibe coded the voicing tables to work semi properly
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! style="width:90px;" {{diagonal split header|Rotation|Voicing}}
! style="width:90px;" {{diagonal split header|Rotation|Voicing}}
! style="width:90px;" | Root
! style="width:90px;" | '3
! style="width:90px;" | '3
! style="width:90px;" | '''<nowiki/>'5'''  
! style="width:90px;" | '''<nowiki/>'5'''
! style="width:90px;" | '3'5
! style="width:90px;" | '3'5
|-
|-
! style="width:90px;" | On 1
! style="width:90px;" | On 1
| style="width:90px;" data-sort-value="004-005-012"|4:5:12
| style="width:90px;" data-sort-value="004-005-006" | ''4:5:6''
| style="width:90px;" data-sort-value="002-003-005"|2:3:5
| style="width:90px;" data-sort-value="004-005-012" | 4:5:12
| style="width:90px;" data-sort-value="002-005-006"|2:5:6
| style="width:90px;" data-sort-value="002-003-005" | 2:3:5
| style="width:90px;" data-sort-value="002-005-006" | 2:5:6
|-
|-
! style="width:90px;" | On 3
! style="width:90px;" | On 3
| style="width:90px;" data-sort-value="003-004-010"|3:4:10
| style="width:90px;" data-sort-value="003-004-005" | 3:8:10
| style="width:90px;" data-sort-value="003-005-008"|3:5:8
| style="width:90px;" data-sort-value="003-004-005" | ''3:4:5''
| style="width:90px;" data-sort-value="003-008-010"|3:8:10
| style="width:90px;" data-sort-value="003-005-008" | 3:5:8
| style="width:90px;" data-sort-value="003-004-010" | 3:4:10
|-
|-
! style="width:90px;" | On 5
! style="width:90px;" | On 5
| style="width:90px;" data-sort-value="005-012-016"|5:12:16
| style="width:90px;" data-sort-value="005-006-016" | 5:6:16
| style="width:90px;" data-sort-value="005-008-012"|5:8:12
| style="width:90px;" data-sort-value="005-012-016" | 5:12:16
| style="width:90px;" data-sort-value="005-006-016"|5:6:16
| style="width:90px;" data-sort-value="005-008-012" | 5:8:12
| style="width:90px;" data-sort-value="005-006-008" | ''5:6:8''
|}
|}


== Related chords ==
== Related chords ==

Revision as of 13:27, 10 November 2025

Chord information
Harmonics 4:5:6
Subharmonics 1/(15:12:10)
Intervals from root 1/1–5/4–3/2
Cents from root 0¢–386¢–702¢
Step intervals 5/4, 6/5
Step cents 386¢, 316¢
Color name yo or y
Prime limit 5
Genus 3⋅5 (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 otonal major triad, also known as the classical major triad, Ptolemaic major triad, or more generally - albeit less precisely - as the just major triad. It is among the most consonant triads, and it is among the most common triads in music.

Its most consonant rotation, 3:4:5, is not typically considered to be consonant, at least in more classical tonal music, where the fourth above the root is considered a dissonance. Acoustically speaking however, 3:4:5 has the least harmonic entropy.

Rotations around the octave

3:4:5, "2nd inversion"
4:5:6, "Root position"
5:6:8, "1st inversion"

Voicings and rotations around two octaves

Voicing
Rotation
 Root '3 '5 '3'5
On 1 4:5:6 4:5:12 2:3:5 2:5:6
On 3 3:8:10 3:4:5 3:5:8 3:4:10
On 5 5:6:16 5:12:16 5:8:12 5:6:8


Related chords

Chords related to this triad (5-limit except where noted):

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