7:9:11: Difference between revisions

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{{Infobox Chord|ColorName=ru loru 5, r(1or5)}}7:9:11 is a chord. It sort of sounds like an augmented fifth chord, including two types of third, a [[9/7]] supermajor third, and a [[11/9]] hyperminor third.
{{Infobox chord|ColorName = ru loru 5, r(1or5)}}
'''7:9:11''' is the Greeley Major chord. It sort of sounds like an augmented fifth chord, including two types of third, a [[9/7]] supermajor third, and a [[11/9]] neutral third.


It is one of the simplest chords that truly sounds xenharmonic. [[6:7:9:11]] and variants are another such simple xen chords.
It is one of the simplest chords that truly sounds xenharmonic. [[6:7:9:11]] and variants are another such simple xen chords.
{{chord edo approximation}}


== Audio of close voicings ==
== Audio of close voicings ==
Line 10: Line 13:
== 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
|7:9:11
| 7:9:11
|basic
| basic
|AOV, isoharmonic, root position
| AOV, isoharmonic, root position
|-
|-
|7:11:18
| 7:11:18
|hi3
| hi3
|
|  
|-
|-
|9:11:14
| 9:11:14
|hiR
| hiR
|1st inversion
| 1st inversion
|-
|-
|11:14:18
| 11:14:18
|lo5
| lo5
|2nd inversion
| 2nd inversion
|-
|-
| rowspan="2" |4 voices
| rowspan="2" | 4 voices
|7:9:11:'''14'''
| 7:9:11:'''14'''
|add8
| add8
|
|  
|-
|-
|7:11:18:28
| 7:11:18:28
|lo5Radd8
| lo5Radd8
|
|  
|}
|}


== 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:
* [[7:9:11:13]]
* [[7:9:11:13]]
* [[7:9:11:13:15]]
* [[7:9:11:13:15]]
Line 52: Line 54:


Similar chords:
Similar chords:
* [[6:7:9|7:9:12]] (substitutes [[11/7]] for [[12/7]])
* [[6:7:9|7:9:12]] (substitutes [[11/7]] for [[12/7]])
* [[14:18:21]] (substitutes 11/7 for 3/2)
* [[14:18:21]] (substitutes 11/7 for 3/2)


Lower limit soundalikes:
Lower limit soundalikes:
* [[20:25:32:40]] (5-limit)
* [[20:25:32:40]] (5-limit)


Higher limit soundalikes:
Higher limit soundalikes:
* [[8:10:13]] (13-limit)
* [[8:10:13]] (13-limit)
* [[11:14:17:20|11:14:17]] (17-limit)
* [[11:14:17]] (17-limit)

Latest revision as of 05:17, 25 June 2026

Chord information
Harmonics 7:9:11
Subharmonics 1/(99:77:63)
Intervals from root 1/1–9/7–11/7
Cents from root 0¢–435¢–782¢
Step intervals 9/7, 11/9
Step cents 435¢, 347¢
Color names ru loru 5
r(1or5)
Prime limit 11
Genus 32⋅7⋅11 (693)
Intervallic odd limit 11
Otonal odd limit 11
Utonal odd limit 99
Consistent edos (d ≥ 2) 3edo*, 11edo*, 14edo*, 17edo*, …

7:9:11 is the Greeley Major chord. It sort of sounds like an augmented fifth chord, including two types of third, a 9/7 supermajor third, and a 11/9 neutral third.

It is one of the simplest chords that truly sounds xenharmonic. 6:7:9:11 and variants are another such simple xen chords.


Edo approximations for 7:9:11 ▶
intervals: 9/7, 11/7 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
▶ 6 0  2  4 0.00 400.00 800.00 0.00 -35.08 +17.51 21.87 10.93
▶ 8 0  3  5 0.00 450.00 750.00 0.00 +14.92 -32.49 19.79 13.20
▶ 11 0  4  7 0.00 436.36 763.64 0.00  +1.28 -18.86 9.21 8.44
▶ 14 0  5  9 0.00 428.57 771.43 0.00  -6.51 -11.06 4.54 5.30
▶ 17 0  6 11 0.00 423.53 776.47 0.00 -11.55  -6.02 4.72 6.68
▶ 20 0  7 13 0.00 420.00 780.00 0.00 -15.08  -2.49 6.60 11.00
▶ 25 0  9 16 0.00 432.00 768.00 0.00  -3.08 -14.49 6.23 12.99
▶ 28 0 10 18 0.00 428.57 771.43 0.00  -6.51 -11.06 4.54 10.59
▶ 31 0 11 20 0.00 425.81 774.19 0.00  -9.28  -8.30 4.16 10.75
▶ 34 0 12 22 0.00 423.53 776.47 0.00 -11.55  -6.02 4.72 13.37
▶ 35 0 13 23 0.00 445.71 788.57 0.00 +10.63  +6.08 4.35 12.70
▶ 38 0 14 25 0.00 442.11 789.47 0.00  +7.02  +6.98 3.30 10.45
▶ 41 0 15 27 0.00 439.02 790.24 0.00  +3.94  +7.75 3.16 10.81
▶ 44 0 16 29 0.00 436.36 790.91 0.00  +1.28  +8.42 3.70 13.58
▶ 49 0 18 32 0.00 440.82 783.67 0.00  +5.73  +1.18 2.47 10.09
▶ 52 0 19 34 0.00 438.46 784.62 0.00  +3.38  +2.12 1.39 6.04
▶ 55 0 20 36 0.00 436.36 785.45 0.00  +1.28  +2.96 1.21 5.56
▶ 58 0 21 38 0.00 434.48 786.21 0.00  -0.60  +3.71 1.91 9.23

Audio of close voicings

7:9:11
9:11:14
11:14:18

Notable voicings

Voices EFR Hi-lo name Special properties
3 voices 7:9:11 basic AOV, isoharmonic, root position
7:11:18 hi3
9:11:14 hiR 1st inversion
11:14:18 lo5 2nd inversion
4 voices 7:9:11:14 add8
7:11:18:28 lo5Radd8

Related chords

Plausible homonyms: all, min6 no5 or aug5 chords.

Notable extensions:

Similar chords:

Lower limit soundalikes:

Higher limit soundalikes:

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