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The 16 most stable triads of 22edo: Difference between revisions

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[[File:16 most stable triads.png|thumb|611x611px|The 16 most stable triads of 22-TET, from empirical data, notated in [[Ups and Downs Notation|Ups and Downs. Triads represent inversional equivalence classes and are written in normal form, with a root of zero. The second and third numbers in the triple represent the lower and outer intervals in degrees of 22-TET respectively. Triads are written in the inversion for which the outer interval is the smallest, and, in the case that two inversion have the same sized outer interval, that the lower interval is the smallest.]]]]
[[File:16 most stable triads.png|thumb|611x611px|The 16 most stable triads of 22-TET, from empirical data, notated in [[Ups and downs notation|Ups and Downs]]. Triads represent inversional equivalence classes and are written in normal form, with a root of zero. The second and third numbers in the triple represent the lower and outer intervals in degrees of 22-TET respectively. Triples describe the inversion for which the outer interval is the smallest, and, in the case that two inversion have the same sized outer interval, that the lower interval is the smallest. Triads are notated in root position [Note: The inversion of triads are notated in does not always match the inversion their normal form most immediately describes]]Click the triad for an audio sample
 
Click the triad for an audio sample
{| class="wikitable"
{| class="wikitable"
|+
|+
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|-
|-
|1
|1
|[0,7,13]
|[https://www.dropbox.com/s/ke3deqbdntbn2dg/1.aif?dl=0 <nowiki>[0,7,13]</nowiki>]
|Classic major triad  
|Classic major triad  
|382
|382
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|-
|-
|2
|2
|[0,4,13]
|[https://www.dropbox.com/s/gw3zd7teif6klo6/2.aif?dl=0 <nowiki>[0,4,13]</nowiki>]
|Suspended triad
|Suspended triad
|491
|491
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|-
|-
|3
|3
|[0,8,13]
|[https://www.dropbox.com/s/rw9vbpsbrcveak0/3.aif?dl=0 <nowiki>[0,8,13]</nowiki>]
|Supermajor triad
|Supermajor triad
|436-709
|436
709
|9/7, 7/6, 4/3, 14:18:21
|9/7, 7/6, 4/3, 14:18:21
|0.40
|0.40
|-
|-
|4
|4
|[0,6,13]
|[https://www.dropbox.com/s/wjoo4lediuyaix6/4.aif?dl=0 <nowiki>[0,6,13]</nowiki>]
|Classic minor triad
|Classic minor triad
|327
|327
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|-
|-
|5
|5
|[0,5,9]
|[https://www.dropbox.com/s/1957ess34prkpmm/5.aif?dl=0 <nowiki>[0,5,9]</nowiki>]
|Subminor seventh (no third)
|Subminor seventh (no third)
|709
|709
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|-
|-
|6
|6
|[0,4,9]
|[https://www.dropbox.com/s/u77dk0xz25e9fmc/6.aif?dl=0 <nowiki>[0,4,9]</nowiki>]
|Subminor seventh (no fifth)
|Subminor seventh (no fifth)
|273
|273
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|-
|-
|7
|7
|[0,2,9]
|[https://www.dropbox.com/s/o47pctm9f36ezo5/7.aif?dl=0 <nowiki>[0,2,9]</nowiki>]
|Classic major seventh (no fifth)
|Classic major seventh (no fifth)
|382
|382
1082
1091
|5/4, 3/2, 15/14, 8:10:15
|5/4, 3/2, 15/14, 8:10:15
|0.78
|0.78
|-
|-
|8
|8
|[0,7,12]
|[https://www.dropbox.com/s/bprlfpy2f5pdepf/8.aif?dl=0 <nowiki>[0,7,12]</nowiki>]
|"Squished" major triad
|"Squished" major triad
|382
|382
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|-
|-
|9
|9
|[0,6,11]
|[https://www.dropbox.com/s/g9jt3n34vhbpxzb/9.aif?dl=0 <nowiki>[0,6,11]</nowiki>]
|Harmonic diminished triad
|Harmonic diminished triad
|327
|327
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|-
|-
|10
|10
|[0,4,11]
|[https://www.dropbox.com/s/smlmcqgm8tw83qn/10.aif?dl=0 <nowiki>[0,4,11]</nowiki>]
|Harmonic dominant seventh (no fifth)
|Harmonic dominant seventh (no fifth)
|382
|382
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|-
|-
|11
|11
|[0,4,7]
|[https://www.dropbox.com/s/0tk5wn3ac4gjv7f/11.aif?dl=0 <nowiki>[0,4,7]</nowiki>]
|Classic major add 9 (no fifth)
|Classic major add 9 (no fifth)
|218
|218
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|-
|-
|12
|12
|[0,5,13]
|[https://www.dropbox.com/s/z6ck2n622w0s0mt/12.aif?dl=0 <nowiki>[0,5,13]</nowiki>]
|Subminor triad
|Subminor triad
|273
|273
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|-
|-
|13
|13
|[0,7,11]
|[https://www.dropbox.com/s/e0skc9cg2ilmk7h/triad13.aif?dl=0 <nowiki>[0,7,11]</nowiki>]
|Classic major flat 5
|Classic major flat 5
|382
|382
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|-
|-
|14
|14
|[0,7,14]
|[https://www.dropbox.com/s/48w3q0poo3v2ylo/14.aif?dl=0 <nowiki>[0,7,14]</nowiki>]
|Classic augmented triad
|Classic augmented triad
|382
|382
765
764
|5/4, 5/4, 9/7, 16:20:25
|5/4, 5/4, 9/7, 16:20:25
|1.08
|1.08
|-
|-
|15
|15
|[0,3,9]
|[https://www.dropbox.com/s/m6m6a1qmsj22g6z/15.aif?dl=0 <nowiki>[0,3,9]</nowiki>]
|Classic minor seventh (no fifth)
|Classic minor seventh (no fifth)
|327
|327
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|-
|-
|16
|16
|[0,7,9]
|[https://www.dropbox.com/s/f31k6asri0qqec1/triad16.aif?dl=0 <nowiki>[0,7,9]</nowiki>]
|Classic major seventh (no third)
|Classic major seventh (no third)
|709
|709
1082
1091
|3/2, 5/4, 15/14, 8:12:15
|3/2, 5/4, 15/14, 8:12:15
|1.10
|1.10
|}
|}
[[Category: 22edo]]
[[Category: Triad]]
Retrieved from "https://en.xen.wiki/w/The_16_most_stable_triads_of_22edo"