Xenharmonic Wiki

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

← Older edit
VisualWikitext
Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,510 edits
mNo edit summary
Fredg999 (talk | contribs)
autopatrolled, Interface administrators, Sysops
6,129 edits
m Text replacement - "Ups and Downs Notation" to "Ups and downs notation"
 
(16 intermediate revisions by 2 users not shown)
Line 1: Line 1:
[[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]]]
[[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 (coming soon)
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 12: Line 10:
|-
|-
|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
Line 20: Line 18:
|-
|-
|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
Line 28: Line 26:
|-
|-
|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
|436
Line 36: Line 34:
|-
|-
|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
Line 44: Line 42:
|-
|-
|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
Line 52: Line 50:
|-
|-
|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
Line 60: Line 58:
|-
|-
|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
Line 76: Line 74:
|-
|-
|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
Line 84: Line 82:
|-
|-
|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
Line 92: Line 90:
|-
|-
|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
Line 100: Line 98:
|-
|-
|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
Line 108: Line 106:
|-
|-
|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
Line 116: Line 114:
|-
|-
|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
Line 132: Line 130:
|-
|-
|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"