Stacked chord: Difference between revisions

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In music, '''<span style="">stacked</span> chords''' are a set of well-<span style="">defined</span> pitches sounding together consisting of a stack of varying flavors or qualities of the same numerical interval. The most common stacked chords comprise of splitting a [[3/2]] or perfect fifth into two varying sizes of thirds. Stacked chords must be at least [[Triad|triadic]] as dyadic can only contain one [[interval]].
In music, a '''stacked chord''' is a set of well-defined pitches sounding together consisting of a stack of varying [[qualities]] of the same [[interval class]]. The most common stacked chords comprise of splitting a [[3/2]] or perfect fifth into two varying sizes of thirds. Stacked chords must be at least [[triad]]ic as dyadic can only contain one [[interval]].
 
==5-limit tertiary harmonic triads==


== 5-limit tertiary harmonic triads ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| | '''Name'''
! Name
| | '''Divides interval'''
! Divides interval
| | '''Chord Formula'''
! Chord formula
| | '''Odd Limit'''
! Odd limit
|-
|-
| | <span style="">Major</span>
| Major
 
| 3/2
Major
| 5/4 + 6/5 or M3 + m3
| | 3/2
| 5
| | 5/4 + 6/5 or M3 + m3
| | 5
|-
|-
| | Minor
| Minor
| | 3/2
| 3/2
| | 6/5 + 5/4 or m3 + M3
| 6/5 + 5/4 or m3 + M3
| | 5
| 5
|-
|-
| | Augmented
| Augmented
| | [[25/16|25/16]]
| [[25/16]]
| | 5/4 + 5/4 or M3 + M3
| 5/4 + 5/4 or M3 + M3
| | 25
| 25
|-
|-
| | <span style="">Diminished</span>
| Diminished
 
| [[25/18]]
Diminished
| 6/5 + 6/5 or m3 + m3
| | [[25/18|25/18]]
| 25
| | 6/5 + 6/5 or m3 + m3
| | 25
|}
|}


==7-limit tertiary harmonic triads==
== 7-limit tertiary harmonic triads ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | '''<span style="line-height: 1.5;">Name</span>'''
! Name
| | '''<span style="line-height: 1.5;">Divides interval</span>'''
! Divides interval
| | '''Chord Formula'''
! Chord formula
| | '''Odd Limit'''
! Odd limit
|-
|-
| | Septimal Major
| Septimal (super)major
| | 3/2
| 3/2
| | [[9/7|9/7]] + 7/6 or 7M3 + 7m3
| [[9/7]] + 7/6 or 7M3 + 7m3
| | 9
| 9
|-
|-
| | Septimal Minor
| Septimal (sub)minor
| | 3/2
| 3/2
| | [[7/6|7/6]] + 9/7 or 7m3 + 7M3
| [[7/6]] + 9/7 or 7m3 + 7M3
| | 9
| 9
|-
|-
| | [[Marvel|Marvel]]-Tempered Augmented
| [[Marvel]]-tempered augmented
| | 14/9
| 14/9
| | 5/4 + 5/4 or M3 + M3
| 5/4 + 5/4 or M3 + M3
| | 9
| 9
|-
|-
| | [[Starling|Starling]]-Tempered Diminished
| [[Starling]]-tempered diminished
| | 12/7
| 12/7
| | 6/5 + 6/5 or m3 + m3
| 6/5 + 6/5 or m3 + m3
| | 9
| 9
|}
|}


==11-limit tertiary harmonic triads==
== 11-limit tertiary harmonic triads ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | '''<span style="line-height: 1.5;">Name</span>'''
! Name
| | '''<span style="line-height: 1.5;">Divides interval</span>'''
! Divides interval
| | '''Chord Formula'''
! Chord formula
| | '''Odd Limit'''
! Odd limit
|-
|-
| | Neutral
| Neutral
| | 3/2
| 3/2
| | [[11/9|11/9]] + 11/9
| [[11/9]] + 11/9
| | 11
| 11
|-
|-
| | 7:9:11
| 7:9:11
| | 11/7
| 11/7
| | 9/7 + 11/9 or SM3 + N3
| 9/7 + 11/9 or SM3 + N3
| | 11
| 11
|}
|}
[[Category:chords]]
 
[[Category:harmony]]
[[Category:Chord]]
[[Category:stacked]]
[[Category:tetrad]]
[[Category:todo:link]]
[[Category:todo:link]]
[[Category:triad]]

Latest revision as of 14:25, 23 January 2025

In music, a stacked chord is a set of well-defined pitches sounding together consisting of a stack of varying qualities of the same interval class. The most common stacked chords comprise of splitting a 3/2 or perfect fifth into two varying sizes of thirds. Stacked chords must be at least triadic as dyadic can only contain one interval.

5-limit tertiary harmonic triads

Name Divides interval Chord formula Odd limit
Major 3/2 5/4 + 6/5 or M3 + m3 5
Minor 3/2 6/5 + 5/4 or m3 + M3 5
Augmented 25/16 5/4 + 5/4 or M3 + M3 25
Diminished 25/18 6/5 + 6/5 or m3 + m3 25

7-limit tertiary harmonic triads

Name Divides interval Chord formula Odd limit
Septimal (super)major 3/2 9/7 + 7/6 or 7M3 + 7m3 9
Septimal (sub)minor 3/2 7/6 + 9/7 or 7m3 + 7M3 9
Marvel-tempered augmented 14/9 5/4 + 5/4 or M3 + M3 9
Starling-tempered diminished 12/7 6/5 + 6/5 or m3 + m3 9

11-limit tertiary harmonic triads

Name Divides interval Chord formula Odd limit
Neutral 3/2 11/9 + 11/9 11
7:9:11 11/7 9/7 + 11/9 or SM3 + N3 11
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