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| {{Infobox Chord|ColorName=yo or y}} | | {{Infobox Chord|ColorName=yo or y}} |
| '''4:5:6''' is an otonal [[major triad]], known as the '''just major triad''', '''classical major triad''', or '''Ptolemaic major triad'''. It is among the most consonant triads, and it is among the most common triads in music. | | '''4:5:6''' is an otonal [[major triad]], known as the '''just major triad''', '''classical major triad''', or '''Ptolemaic major triad'''. It is the most consonant triad, and it is the most common triad in music. |
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| Its second rotation, 3:4:5, has a lower [[harmonic entropy]] and is sometimes considered to be more consonant (for example, by [[Lériendil]]). However, 3:4:5 is not typically considered to be consonant in counterpoint and some derived theories (but not necessarily modern pop or xenharmonic theory), as it is not only [[rooted interval|nonrooted]] but the fourth above the root contrasts and therefore wants to move to the missing major third. It is also not considered to be stable in [[Shasavistic theory]] unlike 4:5:6.
| | == Audio of close voicings == |
| | [[File:SculpEufaDem4-5-6-onD.mp3|none|thumb|4:5:6, Root position]] |
| | [[File:SculpEufaDem5-6-8-onD.mp3|none|thumb|5:6:8, 1st inversion]][[File:SculpEufaDem3-4-5-onD.mp3|none|thumb|3:4:5, 2nd inversion]] |
| | == Notable voicings == |
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| == Rotations around the octave ==
| | Voicings are identified with [[Kite's thoughts on hi-lo notation|Hi-lo notation]]. AOV and CAOV stand for (condensed) [[Odd limit#Proposed extensions|all-odd voicing]]. |
| [[File:SculpEufaDem3-4-5-onD.mp3|none|thumb|3:4:5, "2nd inversion"]] | |
| [[File:SculpEufaDem4-5-6-onD.mp3|none|thumb|4:5:6, "Root position"]] | |
| [[File:SculpEufaDem5-6-8-onD.mp3|none|thumb|5:6:8, "1st inversion"]]
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| == Voicings and rotations around two octaves ==
| | 3 voices: |
| {| class="wikitable sortable" style="text-align:center;"
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| ! style="width:90px;" {{diagonal split header|Rotation|Voicing}}
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| ! style="width:90px;" | Root
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| ! style="width:90px;" | '3
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| ! style="width:90px;" | '''<nowiki/>'5'''
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| ! style="width:90px;" | '3'5
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| ! style="width:90px;" | On 1
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| | style="width:90px;" data-sort-value="004-005-006" | ''4:5:6''
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| | style="width:90px;" data-sort-value="004-005-012" | 4:5:12
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| | style="width:90px;" data-sort-value="002-003-005" | 2:3:5
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| | style="width:90px;" data-sort-value="002-005-006" | 2:5:6
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| ! style="width:90px;" | On 3
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| | style="width:90px;" data-sort-value="003-004-005" | 3:8:10
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| | style="width:90px;" data-sort-value="003-004-005" | ''3:4:5''
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| | style="width:90px;" data-sort-value="003-005-008" | 3:5:8
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| | style="width:90px;" data-sort-value="003-004-010" | 3:4:10
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| ! style="width:90px;" | On 5
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| | style="width:90px;" data-sort-value="005-006-016" | 5:6:16
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| | style="width:90px;" data-sort-value="005-012-016" | 5:12:16
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| | style="width:90px;" data-sort-value="005-008-012" | 5:8:12
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| | style="width:90px;" data-sort-value="005-006-008" | ''5:6:8''
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| |}
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| | * 4:5:6 - close voicing |
| | * 2:3:5 - hi3, CAOV |
| | * 1:3:5 - hi3loR, AOV |
| | * 3:4:5 - lo5 or 2nd inversion |
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| | 4 voices: |
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| | * 4:5:6:8 - add8 |
| | * 2:3:4:5 - hi3add8 |
| | * 2:4:5:6 - addloR |
| | * 3:4:5:6 - addlo5 |
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| == Related chords == | | == Related chords == |
| Chords related to this triad (5-limit except where noted):
| | Melodic inversion: 6:5:4 = [[10:12:15]]. |
| * [[10:12:15]] - chord inversion
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| | Extensions (5-limit except where noted): |
| * [[12:15:18:20]] - adds 5/3 | | * [[12:15:18:20]] - adds 5/3 |
| * [[8:10:12:15]] - adds 15/8 | | * [[8:10:12:15]] - adds 15/8 |