4:5:6:7: Difference between revisions

Overthink (talk | contribs)
m Related chords: fixed prime limit
Eufalesio (talk | contribs)
Added voicings and rotations
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[[File:SculpEufaDem6-7-8-10-onD.mp3|none|thumb|6:7:8:10 "2nd inversion"]]
[[File:SculpEufaDem6-7-8-10-onD.mp3|none|thumb|6:7:8:10 "2nd inversion"]]
[[File:SculpEufaDem7-8-10-12-onD.mp3|none|thumb|7:8:10:12 "3rd inversion"]]
[[File:SculpEufaDem7-8-10-12-onD.mp3|none|thumb|7:8:10:12 "3rd inversion"]]
== Voicings and rotations around two octaves ==
{| class="wikitable sortable" style="text-align:center;"
|+
! style="width:120px;" {{diagonal split header|Rotation|Voicing}}
! style="width:120px;" | Root
! style="width:120px;" | '3
! style="width:120px;" | '5
! style="width:120px;" | '7
! style="width:120px;" | '3'5
! style="width:120px;" | '3'7
! style="width:120px;" | '''<nowiki/>'5'7'''
! style="width:120px;" | '3'5'7
|-
! style="width:120px;" | On 1
| data-sort-value="004-005-006-007" | ''4:5:6:7''
| data-sort-value="004-005-007-012" | 4:5:7:12
| data-sort-value="004-006-007-010" | 4:6:7:10
| data-sort-value="004-005-006-014" | 4:5:6:14
| data-sort-value="004-007-010-012" | 4:7:10:12
| data-sort-value="004-005-012-014" | 4:5:12:14
| data-sort-value="002-003-005-007" | 2:3:5:7
| data-sort-value="002-005-006-007" | 2:5:6:7
|-
! style="width:120px;" | On 3
| data-sort-value="006-007-016-020" | 6:7:16:20
| data-sort-value="003-004-005-007" | 3:4:5:7
| data-sort-value="006-007-010-016" | 6:7:10:16
| data-sort-value="003-007-008-010" | 3:7:8:10
| data-sort-value="003-004-007-010" | 3:4:7:10
| data-sort-value="006-007-008-010" | ''6:7:8:10''
| data-sort-value="003-005-007-008" | 3:5:7:8
| data-sort-value="006-007-008-020" | 6:7:8:20
|-
! style="width:120px;" | On 5
| data-sort-value="005-006-007-016" | 5:6:7:16
| data-sort-value="005-007-012-016" | 5:7:12:16
| data-sort-value="005-008-012-014" | 5:8:12:14
| data-sort-value="005-006-014-016" | 5:6:14:16
| data-sort-value="005-006-008-014" | 5:6:8:14
| data-sort-value="005-012-014-016" | 5:12:14:16
| data-sort-value="005-007-008-012" | 5:7:8:12
| data-sort-value="005-006-007-008" | ''5:6:7:8''
|-
! style="width:120px;" | On 7
| data-sort-value="007-016-020-024" | 7:16:20:24
| data-sort-value="007-012-016-020" | 7:12:16:20
| data-sort-value="007-010-016-024" | 7:10:16:24
| data-sort-value="007-008-010-012" | ''7:8:10:12''
| data-sort-value="007-010-012-016" | 7:10:12:16
| data-sort-value="007-008-010-024" | 7:8:10:24
| data-sort-value="007-008-012-020" | 7:8:12:20
| data-sort-value="007-008-020-024" | 7:8:20:24
|}
Enumerations in italics map to an existing octave-reduced rotation.


== Related chords ==
== Related chords ==
Chords related to this triad (7-limit except where noted):
Chords related to this triad (7-limit except where noted):


* [[2:3:5:7]] - open voicing
* [[60:70:84:105]] - chord inversion
* [[60:70:84:105]] - chord inversion
* [[4:5:6:7:9]] - adds 9/4 (two octave spanning pentad)
* [[4:5:6:7:9]] - adds 9/4 (two octave spanning pentad)