8:10:13: Difference between revisions

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{{Infobox Chord|ColorName=yo tho6 no5, y,3o6no5, y(3oq5)}}8:10:13 is an [[otonal]] chord. It sort of sounds like an augmented fifth chord, though [[13/8]] is not usually considered an augmented fifth on its own, as it is often deemed a hyperminor sixth or a neutral sixth.
{{Infobox chord|ColorName=yo tho6 no5, y,3o6no5, y(3oq5)}}
'''8:10:13''' is an [[otonal]] chord. It sort of sounds like an augmented fifth chord, though [[13/8]] is not usually considered an augmented fifth on its own, as it is often deemed a hyperminor sixth or a neutral sixth.


It is one of the easiest to use in the [[13-limit]], due to the triadic-like structure, the wide spacing of the intervals, and the [[5/4]] anchor, compared to other 13-limit chords that are more cluttered or xenharmonic like 8:12:13, or 8:11:13.
It is one of the easiest to use in the [[13-limit]], due to the triadic-like structure, the wide spacing of the intervals, and the [[5/4]] anchor, compared to other 13-limit chords that are more cluttered or xenharmonic like 8:12:13, or 8:11:13.
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[[File:SculpEufaDem10-13-16-onD.mp3|thumb|10:13:16|none]]
[[File:SculpEufaDem10-13-16-onD.mp3|thumb|10:13:16|none]]
[[File:SculpEufaDem13-16-20-onD.mp3|thumb|13:16:20|none]]
[[File:SculpEufaDem13-16-20-onD.mp3|thumb|13:16:20|none]]
== Notable voicings ==
== Notable voicings ==
{| class="wikitable"
{| class="wikitable"
!Voices
! Voices
![[EFR]]
! [[EFR]]
![[Kite's thoughts on hi-lo notation|Hi-lo name]]
! [[Kite's thoughts on hi-lo notation|Hi-lo name]]
!Special properties
! Special properties
|-
|-
| rowspan="4" |3 voices
| rowspan="4" | 3 voices
|1:5:13
| 1:5:13
|hi3loRhihi6
| hi3loRhihi6
|AOV
| AOV
|-
|-
|4:13:20
| 4:13:20
|hi3
| hi3
|CAOV
| CAOV
|-
|-
|8:10:13
| 8:10:13
|basic
| basic
|root position
| root position
|-
|-
|10:13:16
| 10:13:16
|hiR
| hiR
|first inversion, isoharmonic
| first inversion, isoharmonic
|-
|-
| rowspan="2" |4 voices
| rowspan="2" | 4 voices
|8:10:13:'''16'''
| 8:10:13:'''16'''
|hi3add8
| hi3add8
|
|  
|-
|-
|4:10:13:16
| 4:10:13:16
|loRadd8
| loRadd8
|
|  
|}
|}


== Related chords ==
== Related chords ==
Plausible [[Chord homonym|homonyms]]: all, min6 no5 or aug5 chords.
Plausible [[chord homonym|homonyms]]: all, min6 no5 or aug5 chords.


Notable extensions:
Notable extensions:
* [[4:5:7:13]] (adds [[7/4]])  
* [[4:5:7:13]] (adds [[7/4]])  
* [[4:5:6:13]] (adds 3/2)
* [[4:5:6:13]] (adds 3/2)
* [[4:5:6:7:13]] (adds [[3/2]], 7/4)
* [[4:5:6:7:13]] (adds [[3/2]], 7/4)
Similar chords:
Similar chords:
* [[8:11:13]] (substitutes 5/4 for [[11/8]])
* [[8:11:13]] (substitutes 5/4 for [[11/8]])
* 8:12:13 (substitutes [[5/4]] for 3/2)
* 8:12:13 (substitutes [[5/4]] for 3/2)


Lower limit soundalikes:  
Lower limit soundalikes:  
* [[20:25:32:40]] (5-limit)
* [[20:25:32:40]] (5-limit)
* [[7:9:11]] (11-limit)
* [[7:9:11]] (11-limit)
Higher limit soundalikes:
Higher limit soundalikes:
 
* [[11:14:17]] (17-limit)
* [[11:14:17:20|11:14:17]] (17-limit)