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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Breedsmic_temperaments#Hemififths|hemififths temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 896/891 pentacircle, by 243/242 rastmic, and by 1344/1331 hemimin. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove, and those requiring both 441/440 and 896/891 are labeled pele. The label "nofives" refers to the unnamed rank-three temperament tempering out 243/242, 896/891 and 1344/1331, and if any two of these are needed the chord is so labled. "Nofives" refers to the fact that it is in essence a no-fives version of hemififths; if the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled "hemififths".
Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[hemififths]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[swetismic chords|swetismic]], by [[441/440]] [[werckismic chords|werckismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[243/242]] [[rastmic chords|rastmic]], and by [[1344/1331]] [[hemimin chords|hemimin]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[jove chords|jove]]. Those requiring both 441/440 and 896/891 are labeled [[pele chords|pele]]. Those requiring any two of 243/242, 896/891 or 1344/1331 are labeled [[parahemif chords|parahemif]]. If the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled ''hemififths''.


A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.
A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has [[mos scale]]s of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.


=Triads=
Chords are named with ups and downs, using pergen #4 (P8, P5/2) in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. One up is 7 generators, which is a half-sharp. The tilde ~ means mid, half-way between major and minor. ~4 = ^4 = vA4 and ~5 = v5 = ^d5. The comma (the actual punctuation mark) is pronounced "add", thus C~,7 is "C mid add 7". To facilitate chord naming, lifts and drops are also used. One lift is -17 generators, a half-diminished second. Enharmonic equivalences: vvA1 and v\m2. Cents: ^1 = 50¢ + 3.5c and /1 = 50¢ - 8.5c, where c equals the amount in cents the tempered fifth exceeds 700¢. /1 = ~81/80 = ~64/63 and ^1 = ~33/32. To convert to 41edo, ^1 = 2\41 and /1 = 1\41.


{| class="wikitable"
The ''As harmonics or subharmonics'' column describes otonal chords as harmonics and utonal chords as subharmonics.
 
{| class="wikitable center-all"
|+Hemififth's genchain
! Genspan
! 0
! 1
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! …
! 20
! 21
! …
! 23
! …
! 25
|-
! Cents (41edo)
| 0
| 351
| 702
| 1054
| 205
| 556
| 907
| 59
| 410
| 761
| 1112
| 263
| 615
| 966
| …
| 1024
| 176
| …
| 878
| …
| 380
|-
! Ratio
| 1/1
| 11/9<br>16/13
| 3/2
| 11/6<br>24/13
| 9/8
| 11/8<br>18/13
| 27/16<br>22/13
| 28/27<br>33/32
| 14/11
| 14/9
| 40/21<br>21/11
| 7/6
| 10/7
| 7/4
| …
| 20/11
| 10/9
| …
| 5/3
| …
| 5/4
|-
! Interval
| P1
| ~3
| P5
| ~7
| M2
| ~4<br>\b5
| M6
| ^1<br>\m2
| M3
| ^5<br>\m6
| M7
| ^M2<br>\m3
| A4<br>\~5
| ^M6<br>\m7
| …
| A6<br>\~7
| ^A1<br>\M2
| …
| ^A5<br>\M6
| …
| ^A2<br>\M3
|}
{{Todo|complete table|inline=1}}
 
== Triads ==
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Genspans
| | Transversal
! Transversal
| | Type
! Type
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| | 1
| 1
| | 0-1-2
| 0-1-2
| | 1-11/9-3/2
| 1-11/9-3/2
| | rastmic
| rastmic
| C~
|
|  
|-
|-
| | 2
| 2
| | 0-1-3
| 0-1-3
| | 1-11/9-11/6
| 1-11/9-11/6
| | utonal
| utonal
| C~7no5
|  
| 1/(11:9:6)
|-
|-
| | 3
| 3
| | 0-2-3
| 0-2-3
| | 1-3/2-11/6
| 1-3/2-11/6
| | otonal
| otonal
| C~7no3
|
| 6:9:11
|-
|-
| | 4
| 4
| | 0-1-4
| 0-1-4
| | 1-11/9-9/8
| 1-11/9-9/8
| | rastmic
| rastmic
| C~,9no5
|
|  
|-
|-
| | 5
| 5
| | 0-2-4
| 0-2-4
| | 1-3/2-9/8
| 1-3/2-9/8
| | ambitonal
| ambitonal
| C2 ''or'' C4
| 1-4/3-3/2
|
|-
|-
| | 6
| 6
| | 0-3-4
| 0-3-4
| | 1-11/6-9/8
| 1-11/6-9/8
| | rastmic
| rastmic
| C~9no35
|
|  
|-
|-
| | 7
| 7
| | 0-1-5
| 0-1-5
| | 1-11/9-11/8
| 1-11/9-11/8
| | utonal
| utonal
| C~(\b5)
|  
| 1/(11:9:8)
|-
|-
| | 8
| 8
| | 0-2-5
| 0-2-5
| | 1-3/2-11/8
| 1-3/2-11/8
| | otonal
| otonal
| C~7sus4no5
| 1-4/3-11/6
| 6:8:11
|-
|-
| | 9
| 9
| | 0-3-5
| 0-3-5
| | 1-11/6-11/8
| 1-11/6-11/8
| | utonal
| utonal
| C~2
| 1-12/11-3/2
| 1/(12:11:8)
|-
|-
| | 10
| 10
| | 0-4-5
| 0-4-5
| | 1-9/8-11/8
| 1-9/8-11/8
| | otonal
| otonal
| C~,7no5
| 1-11/9-16/9
| 9:11:16
|-
|-
| | 11
| 11
| | 0-3-8
| 0-3-8
| | 1-11/6-14/11
| 1-11/6-14/11
| | hemimin
| hemimin
| C,~7no5
|
|  
|-
|-
| | 12
| 12
| | 0-4-8
| 0-4-8
| | 1-9/8-14/11
| 1-9/8-14/11
| | pentacircle
| pentacircle
| C,9no5
|
|  
|-
|-
| | 13
| 13
| | 0-5-8
| 0-5-8
| | 1-11/8-14/11
| 1-11/8-14/11
| | hemimin
| hemimin
| C(\b5)
|
|  
|-
|-
| | 14
| 14
| | 0-1-9
| 0-1-9
| | 1-11/9-14/9
| 1-11/9-14/9
| | otonal
| otonal
| C~(^5)
|
| 9:11:14
|-
|-
| | 15
| 15
| | 0-4-9
| 0-4-9
| | 1-9/8-14/9
| 1-9/8-14/9
| | pentacircle
| pentacircle
| C7~4no5
| 1-11/8-16/9
|  
|-
|-
| | 16
| 16
| | 0-5-9
| 0-5-9
| | 1-11/8-14/9
| 1-11/8-14/9
| | pentacircle
| pentacircle
| C2(~5) ''or''<br>C/,7no5
| 1-9/8-13/9<br>1-9/7-16/9
|  
|-
|-
| | 17
| 17
| | 0-8-9
| 0-8-9
| | 1-14/11-14/9
| 1-14/11-14/9
| | utonal
| utonal
| C(^5)
|  
| 1/(14:11:9)
|-
|-
| | 18
| 18
| | 0-2-11
| 0-2-11
| | 1-3/2-7/6
| 1-3/2-7/6
| | otonal
| otonal
| C\m
|
| 6:7:9
|-
|-
| | 19
| 19
| | 0-3-11
| 0-3-11
| | 1-11/6-7/6
| 1-11/6-7/6
| | otonal
| otonal
| C\m~7no5
|
| 6:7:11
|-
|-
| | 20
| 20
| | 0-8-11
| 0-8-11
| | 1-14/11-7/6
| 1-14/11-7/6
| | utonal
| utonal
| C~2/6
| 1-12/11-12/7
| 1/(12:11:7)
|-
|-
| | 21
| 21
| | 0-9-11
| 0-9-11
| | 1-14/9-7/6
| 1-14/9-7/6
| | utonal
| utonal
| C/
| 1-9/7-3/2
| 1/(9:7:6)
|-
|-
| | 22
| 22
| | 0-1-12
| 0-1-12
| | 1-11/9-10/7
| 1-11/9-10/7
| | swetismic
| swetismic
| C~(\~5)
|
|  
|-
|-
| | 23
| 23
| | 0-3-12
| 0-3-12
| | 1-11/6-10/7
| 1-11/6-10/7
| | swetismic
| swetismic
| C/(b5)
| 1-9/7-7/5
|  
|-
|-
| | 24
| 24
| | 0-4-12
| 0-4-12
| | 1-9/8-10/7
| 1-9/8-10/7
| | werckismic
| werckismic
| C2(\~5)
|
|  
|-
|-
| | 25
| 25
| | 0-8-12
| 0-8-12
| | 1-14/11-10/7
| 1-14/11-10/7
| | werckismic
| werckismic
| C(\~5)
|
|  
|-
|-
| | 26
| 26
| | 0-9-12
| 0-9-12
| | 1-14/9-10/7
| 1-14/9-10/7
| | swetismic
| swetismic
| C~2(b5)
| 1-12/11-7/5
|  
|-
|-
| | 27
| 27
| | 0-11-12
| 0-11-12
| | 1-7/6-10/7
| 1-7/6-10/7
| | swetismic
| swetismic
| C\m(\~5)
|
|  
|-
|-
| | 28
| 28
| | 0-1-13
| 0-1-13
| | 1-11/9-7/4
| 1-11/9-7/4
| | werckismic
| werckismic
| C~,\7no5
|
|  
|-
|-
| | 29
| 29
| | 0-2-13
| 0-2-13
| | 1-3/2-7/4
| 1-3/2-7/4
| | otonal
| otonal
| C\7no3
|
| 4:6:7
|-
|-
| | 30
| 30
| | 0-4-13
| 0-4-13
| | 1-9/8-7/4
| 1-9/8-7/4
| | otonal
| otonal
| C\9no35
|
| 4:7:9
|-
|-
| | 31
| 31
| | 0-5-13
| 0-5-13
| | 1-11/8-7/4
| 1-11/8-7/4
| | otonal
| otonal
| C(~5)
| 1-14/11-16/11
| 8:11:14
|-
|-
| | 32
| 32
| | 0-8-13
| 0-8-13
| | 1-14/11-7/4
| 1-14/11-7/4
| | utonal
| utonal
| C,\7
|
| 1/(14:11:8)
|-
|-
| | 33
| 33
| | 0-9-13
| 0-9-13
| | 1-14/9-7/4
| 1-14/9-7/4
| | utonal
| utonal
| C/,2no5
| 1-9/8-9/7
| 1/(9:8:7)
|-
|-
| | 34
| 34
| | 0-11-13
| 0-11-13
| | 1-7/6-7/4
| 1-7/6-7/4
| | utonal
| utonal
| C\m7no5
|  
| 1/(7:6:4)
|-
|-
| | 35
| 35
| | 0-12-13
| 0-12-13
| | 1-10/7-7/4
| 1-10/7-7/4
| | werckismic
| werckismic
| C~(b5)
| 1-11/9-7/5
|  
|-
|-
| | 36
| 36
| | 0-8-20
| 0-8-20
| | 1-14/11-20/11
| 1-14/11-20/11
| | otonal
| otonal
| C,\~7no5
|
| 11:14:20
|-
|-
| | 37
| 37
| | 0-9-20
| 0-9-20
| | 1-14/9-20/11
| 1-14/9-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 38
| 38
| | 0-11-20
| 0-11-20
| | 1-7/6-20/11
| 1-7/6-20/11
| | swetismic
| swetismic
| C\m\~7no5
|
|  
|-
|-
| | 39
| 39
| | 0-12-20
| 0-12-20
| | 1-10/7-20/11
| 1-10/7-20/11
| | utonal
| utonal
| C(b5)
|
| 1/(20:14:11)
|-
|-
| | 40
| 40
| | 0-1-21
| 0-1-21
| | 1-11/9-10/9
| 1-11/9-10/9
| | otonal
| otonal
| C~,\9no5
|
| 9:10:11
|-
|-
| | 41
| 41
| | 0-8-21
| 0-8-21
| | 1-14/11-10/9
| 1-14/11-10/9
| | werckismic
| werckismic
| C,\9no5
|
|  
|-
|-
| | 42
| 42
| | 0-9-21
| 0-9-21
| | 1-14/9-10/9
| 1-14/9-10/9
| | otonal
| otonal
| C/(\~5)
| 1-9/7-10/7
| 7:9:10
|-
|-
| | 43
| 43
| | 0-12-21
| 0-12-21
| | 1-10/7-10/9
| 1-10/7-10/9
| | utonal
| utonal
| C\2(\~5)
|  
| 1/(10:9:7)
|-
|-
| | 44
| 44
| | 0-13-21
| 0-13-21
| | 1-7/4-10/9
| 1-7/4-10/9
| | werckismic
| werckismic
| C\2\m7no5
|
|  
|-
|-
| | 45
| 45
| | 0-20-21
| 0-20-21
| | 1-20/11-10/9
| 1-20/11-10/9
| | utonal
| utonal
|
|
| 1/(20:18:11)
|-
|-
| | 46
| 46
| | 0-2-23
| 0-2-23
| | 1-3/2-5/3
| 1-3/2-5/3
| | otonal
| otonal
| C\m7no5
| 1-6/5-9/5
| 5:6:9
|-
|-
| | 47
| 47
| | 0-3-23
| 0-3-23
| | 1-11/6-5/3
| 1-11/6-5/3
| | otonal
| otonal
|
|
| 6:10:11
|-
|-
| | 48
| 48
| | 0-11-23
| 0-11-23
| | 1-7/6-5/3
| 1-7/6-5/3
| | otonal
| otonal
| C\m6no5
|
| 6:7:10
|-
|-
| | 49
| 49
| | 0-12-23
| 0-12-23
| | 1-10/7-5/3
| 1-10/7-5/3
| | utonal
| utonal
| C/dim
| 1-7/6-7/5
| 1/(10:7:6)
|-
|-
| | 50
| 50
| | 0-20-23
| 0-20-23
| | 1-20/11-5/3
| 1-20/11-5/3
| | utonal
| utonal
|
|
| 1/(20:12:11)
|-
|-
| | 51
| 51
| | 0-21-23
| 0-21-23
| | 1-10/9-5/3
| 1-10/9-5/3
| | utonal
| utonal
| C/7no3
| 1-3/2-9/5
| 1/(9:6:5)
|-
|-
| | 52
| 52
| | 0-2-25
| 0-2-25
| | 1-3/2-5/4
| 1-3/2-5/4
| | otonal
| otonal
| C\
|
| 4:5:6
|-
|-
| | 53
| 53
| | 0-4-25
| 0-4-25
| | 1-9/8-5/4
| 1-9/8-5/4
| | otonal
| otonal
| C\,9no5
|
| 4:5:9
|-
|-
| | 54
| 54
| | 0-5-25
| 0-5-25
| | 1-11/8-5/4
| 1-11/8-5/4
| | otonal
| otonal
| C\(\b5)
|
| 8:10:11
|-
|-
| | 55
| 55
| | 0-12-25
| 0-12-25
| | 1-10/7-5/4
| 1-10/7-5/4
| | utonal
| utonal
| C\(\~5)
|  
| 1/(10:8:7)
|-
|-
| | 56
| 56
| | 0-13-25
| 0-13-25
| | 1-7/4-5/4
| 1-7/4-5/4
| | otonal
| otonal
| C\7no5
|
| 4:5:6
|-
|-
| | 57
| 57
| | 0-20-25
| 0-20-25
| | 1-20/11-5/4
| 1-20/11-5/4
| | utonal
| utonal
| C\,\~7no5
|
| 1/(20:16:11)
|-
|-
| | 58
| 58
| | 0-21-25
| 0-21-25
| | 1-10/9-5/4
| 1-10/9-5/4
| | utonal
| utonal
| C/9no35
| 1-9/5-9/4
| 1/(9:5:4)
|-
|-
| | 59
| 59
| | 0-23-25
| 0-23-25
| | 1-5/3-5/4
| 1-5/3-5/4
| | utonal
| utonal
| C/m
| 1-6/5-3/2
| 1/(6:5:4)
|}
|}


=Tetrads=
== Tetrads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Genspans
| | Transversal
! Transversal
| | Type
! Type
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| | 1
| 1
| | 0-1-2-3
| 0-1-2-3
| | 1-11/9-3/2-11/6
| 1-11/9-3/2-11/6
| | rastmic
| rastmic
| C~7
|
|  
|-
|-
| | 2
| 2
| | 0-1-2-4
| 0-1-2-4
| | 1-11/9-3/2-9/8
| 1-11/9-3/2-9/8
| | rastmic
| rastmic
| C~,9
|
|  
|-
|-
| | 3
| 3
| | 0-1-3-4
| 0-1-3-4
| | 1-11/9-11/6-9/8
| 1-11/9-11/6-9/8
| | rastmic
| rastmic
| C~9no5
|
|  
|-
|-
| | 4
| 4
| | 0-2-3-4
| 0-2-3-4
| | 1-3/2-11/6-9/8
| 1-3/2-11/6-9/8
| | rastmic
| rastmic
| C~9no3
|
|  
|-
|-
| | 5
| 5
| | 0-1-2-5
| 0-1-2-5
| | 1-11/9-3/2-11/8
| 1-11/9-3/2-11/8
| | rastmic
| rastmic
| C~,~11
|
|  
|-
|-
| | 6
| 6
| | 0-1-3-5
| 0-1-3-5
| | 1-11/9-11/6-11/8
| 1-11/9-11/6-11/8
| | utonal
| utonal
| C2~6 ''or''<br>C4~9
| 1-9/8-3/2-18/11<br>1-4/3-3/2-24/11
| 1/(18:16:12:11)<br>1/(24:18:16:11)
|-
|-
| | 7
| 7
| | 0-2-3-5
| 0-2-3-5
| | 1-3/2-11/6-11/8
| 1-3/2-11/6-11/8
| | ambitonal
| ambitonal
| C~4~7
|
|  
|-
|-
| | 8
| 8
| | 0-1-4-5
| 0-1-4-5
| | 1-11/9-9/8-11/8
| 1-11/9-9/8-11/8
| | rastmic
| rastmic
|
|
|  
|-
|-
| | 9
| 9
| | 0-2-4-5
| 0-2-4-5
| | 1-3/2-9/8-11/8
| 1-3/2-9/8-11/8
| | otonal
| otonal
| C4~7
| 1-4/3-3/2-11/6
| 6:8:9:11
|-
|-
| | 10
| 10
| | 0-3-4-5
| 0-3-4-5
| | 1-11/6-9/8-11/8
| 1-11/6-9/8-11/8
| | rastmic
| rastmic
| C~11no35
|
|  
|-
|-
| | 11
| 11
| | 0-3-4-8
| 0-3-4-8
| | 1-11/6-9/8-14/11
| 1-11/6-9/8-14/11
| | nofives
| parahemif
| C9(~7)no5
|
|  
|-
|-
| | 12
| 12
| | 0-3-5-8
| 0-3-5-8
| | 1-11/6-11/8-14/11
| 1-11/6-11/8-14/11
| | hemimin
| hemimin
| C~2~11
| 1-12/11-11/8-3/2
|  
|-
|-
| | 13
| 13
| | 0-4-5-8
| 0-4-5-8
| | 1-9/8-11/8-14/11
| 1-9/8-11/8-14/11
| | nofives
| parahemif
| C~,~9
| 1-11/9-3/2-13/12
|  
|-
|-
| | 14
| 14
| | 0-1-4-9
| 0-1-4-9
| | 1-11/9-9/8-14/9
| 1-11/9-9/8-14/9
| | nofives
| parahemif
| C~,9(^5)
|
|  
|-
|-
| | 15
| 15
| | 0-1-5-9
| 0-1-5-9
| | 1-11/9-11/8-14/9
| 1-11/9-11/8-14/9
| | pentacircle
| pentacircle
| C,~6,9no5
| 1-14/11-18/11-9/4
|  
|-
|-
| | 16
| 16
| | 0-4-5-9
| 0-4-5-9
| | 1-9/8-11/8-14/9
| 1-9/8-11/8-14/9
| | pentacircle
| pentacircle
| C~,7(\b5)
| 1-11/9-11/8-16/9
|  
|-
|-
| | 17
| 17
| | 0-4-8-9
| 0-4-8-9
| | 1-9/8-14/11-14/9
| 1-9/8-14/11-14/9
| | pentacircle
| pentacircle
|
|
|  
|-
|-
| | 18
| 18
| | 0-5-8-9
| 0-5-8-9
| | 1-11/8-14/11-14/9
| 1-11/8-14/11-14/9
| | nofives
| parahemif
|
|
|  
|-
|-
| | 19
| 19
| | 0-2-3-11
| 0-2-3-11
| | 1-3/2-11/6-7/6
| 1-3/2-11/6-7/6
| | otonal
| otonal
| C\m~7
|
| 6:7:9:11
|-
|-
| | 20
| 20
| | 0-3-8-11
| 0-3-8-11
| | 1-11/6-14/11-7/6
| 1-11/6-14/11-7/6
| | hemimin
| hemimin
|
|
|  
|-
|-
| | 21
| 21
| | 0-8-9-11
| 0-8-9-11
| | 1-14/11-14/9-7/6
| 1-14/11-14/9-7/6
| | utonal
| utonal
| C/,~6
| 1-9/7-3/2-18/11
| 1/(18:14:12:11)
|-
|-
| | 22
| 22
| | 0-1-3-12
| 0-1-3-12
| | 1-11/9-11/6-10/7
| 1-11/9-11/6-10/7
| | swetismic
| swetismic
| C\m~6
| 1-7/6-3/2-13/8
|  
|-
|-
| | 23
| 23
| | 0-1-4-12
| 0-1-4-12
| | 1-11/9-9/8-10/7
| 1-11/9-9/8-10/7
| | jove
| jove
|
|
|  
|-
|-
| | 24
| 24
| | 0-3-4-12
| 0-3-4-12
| | 1-11/6-9/8-10/7
| 1-11/6-9/8-10/7
| | jove
| jove
|
|
|  
|-
|-
| | 25
| 25
| | 0-3-8-12
| 0-3-8-12
| | 1-11/6-14/11-10/7
| 1-11/6-14/11-10/7
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 26
| 26
| | 0-4-8-12
| 0-4-8-12
| | 1-9/8-14/11-10/7
| 1-9/8-14/11-10/7
| | pele
| pele
| C9no5
| 1-9/8-14/11-16/9
|  
|-
|-
| | 27
| 27
| | 0-1-9-12
| 0-1-9-12
| | 1-11/9-14/9-10/7
| 1-11/9-14/9-10/7
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 28
| 28
| | 0-4-9-12
| 0-4-9-12
| | 1-9/8-14/9-10/7
| 1-9/8-14/9-10/7
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 29
| 29
| | 0-8-9-12
| 0-8-9-12
| | 1-14/11-14/9-10/7
| 1-14/11-14/9-10/7
| | jove
| jove
|
|
|  
|-
|-
| | 30
| 30
| | 0-3-11-12
| 0-3-11-12
| | 1-11/6-7/6-10/7
| 1-11/6-7/6-10/7
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 31
| 31
| | 0-8-11-12
| 0-8-11-12
| | 1-14/11-7/6-10/7
| 1-14/11-7/6-10/7
| | jove
| jove
|
|
|  
|-
|-
| | 32
| 32
| | 0-9-11-12
| 0-9-11-12
| | 1-14/9-7/6-10/7
| 1-14/9-7/6-10/7
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 33
| 33
| | 0-1-2-13
| 0-1-2-13
| | 1-11/9-3/2-7/4
| 1-11/9-3/2-7/4
| | jove
| jove
| C~,\7
|
|  
|-
|-
| | 34
| 34
| | 0-1-4-13
| 0-1-4-13
| | 1-11/9-9/8-7/4
| 1-11/9-9/8-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 35
| 35
| | 0-2-4-13
| 0-2-4-13
| | 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| | otonal
| otonal
| C\9no3
|
| 4:6:7:9
|-
|-
| | 36
| 36
| | 0-1-5-13
| 0-1-5-13
| | 1-11/9-11/8-7/4
| 1-11/9-11/8-7/4
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 37
| 37
| | 0-2-5-13
| 0-2-5-13
| | 1-3/2-11/8-7/4
| 1-3/2-11/8-7/4
| | otonal
| otonal
| C~4,\7
|
| 8:11:12:14
|-
|-
| | 38
| 38
| | 0-4-5-13
| 0-4-5-13
| | 1-9/8-11/8-7/4
| 1-9/8-11/8-7/4
| | otonal
| otonal
| C~4\7,9 ''or'' C~,7(^5)
| 1-11/9-14/9-16/9
| 9:11:14:16
|-
|-
| | 39
| 39
| | 0-4-8-13
| 0-4-8-13
| | 1-9/8-14/11-7/4
| 1-9/8-14/11-7/4
| | pentacircle
| pentacircle
|
|
|  
|-
|-
| | 40
| 40
| | 0-5-8-13
| 0-5-8-13
| | 1-11/8-14/11-7/4
| 1-11/8-14/11-7/4
| | hemimin
| hemimin
|
|
|  
|-
|-
| | 41
| 41
| | 0-1-9-13
| 0-1-9-13
| | 1-11/9-14/9-7/4
| 1-11/9-14/9-7/4
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 42
| 42
| | 0-4-9-13
| 0-4-9-13
| | 1-9/8-14/9-7/4
| 1-9/8-14/9-7/4
| | pentacircle
| pentacircle
|
|
|  
|-
|-
| | 43
| 43
| | 0-5-9-13
| 0-5-9-13
| | 1-11/8-14/9-7/4
| 1-11/8-14/9-7/4
| | pentacircle
| pentacircle
|
|
|  
|-
|-
| | 44
| 44
| | 0-8-9-13
| 0-8-9-13
| | 1-14/11-14/9-7/4
| 1-14/11-14/9-7/4
| | utonal
| utonal
|
|
| 1/(14:11:9:8)
|-
|-
| | 45
| 45
| | 0-2-11-13
| 0-2-11-13
| | 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| | ambitonal
| ambitonal
| C\m7
|
|  
|-
|-
| | 46
| 46
| | 0-8-11-13
| 0-8-11-13
| | 1-14/11-7/6-7/4
| 1-14/11-7/6-7/4
| | utonal
| utonal
|
|  
| 1/(14:12:11:8)
|-
|-
| | 47
| 47
| | 0-9-11-13
| 0-9-11-13
| | 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| | utonal
| utonal
| C/,9
| 1-9/7-3/2-9/4
| 1/(9:7:6:4)
|-
|-
| | 48
| 48
| | 0-1-12-13
| 0-1-12-13
| | 1-11/9-10/7-7/4
| 1-11/9-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 49
| 49
| | 0-4-12-13
| 0-4-12-13
| | 1-9/8-10/7-7/4
| 1-9/8-10/7-7/4
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 50
| 50
| | 0-8-12-13
| 0-8-12-13
| | 1-14/11-10/7-7/4
| 1-14/11-10/7-7/4
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 51
| 51
| | 0-9-12-13
| 0-9-12-13
| | 1-14/9-10/7-7/4
| 1-14/9-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 52
| 52
| | 0-11-12-13
| 0-11-12-13
| | 1-7/6-10/7-7/4
| 1-7/6-10/7-7/4
| | jove
| jove
| C~,/6
| 1-11/9-3/2-12/7
|  
|-
|-
| | 53
| 53
| | 0-8-9-20
| 0-8-9-20
| | 1-14/11-14/9-20/11
| 1-14/11-14/9-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 54
| 54
| | 0-8-11-20
| 0-8-11-20
| | 1-14/11-7/6-20/11
| 1-14/11-7/6-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 55
| 55
| | 0-9-11-20
| 0-9-11-20
| | 1-14/9-7/6-20/11
| 1-14/9-7/6-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 56
| 56
| | 0-8-12-20
| 0-8-12-20
| | 1-14/11-10/7-20/11
| 1-14/11-10/7-20/11
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 57
| 57
| | 0-9-12-20
| 0-9-12-20
| | 1-14/9-10/7-20/11
| 1-14/9-10/7-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 58
| 58
| | 0-11-12-20
| 0-11-12-20
| | 1-7/6-10/7-20/11
| 1-7/6-10/7-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 59
| 59
| | 0-1-9-21
| 0-1-9-21
| | 1-11/9-14/9-10/9
| 1-11/9-14/9-10/9
| | otonal
| otonal
|
|
| 9:10:11:14
|-
|-
| | 60
| 60
| | 0-8-9-21
| 0-8-9-21
| | 1-14/11-14/9-10/9
| 1-14/11-14/9-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 61
| 61
| | 0-1-12-21
| 0-1-12-21
| | 1-11/9-10/7-10/9
| 1-11/9-10/7-10/9
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 62
| 62
| | 0-8-12-21
| 0-8-12-21
| | 1-14/11-10/7-10/9
| 1-14/11-10/7-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 63
| 63
| | 0-9-12-21
| 0-9-12-21
| | 1-14/9-10/7-10/9
| 1-14/9-10/7-10/9
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 64
| 64
| | 0-1-13-21
| 0-1-13-21
| | 1-11/9-7/4-10/9
| 1-11/9-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 65
| 65
| | 0-8-13-21
| 0-8-13-21
| | 1-14/11-7/4-10/9
| 1-14/11-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 66
| 66
| | 0-9-13-21
| 0-9-13-21
| | 1-14/9-7/4-10/9
| 1-14/9-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 67
| 67
| | 0-12-13-21
| 0-12-13-21
| | 1-10/7-7/4-10/9
| 1-10/7-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 68
| 68
| | 0-8-20-21
| 0-8-20-21
| | 1-14/11-20/11-10/9
| 1-14/11-20/11-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 69
| 69
| | 0-9-20-21
| 0-9-20-21
| | 1-14/9-20/11-10/9
| 1-14/9-20/11-10/9
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 70
| 70
| | 0-12-20-21
| 0-12-20-21
| | 1-10/7-20/11-10/9
| 1-10/7-20/11-10/9
| | utonal
| utonal
|
|
| 1/(20:18:14:11)
|-
|-
| | 71
| 71
| | 0-2-3-23
| 0-2-3-23
| | 1-3/2-11/6-5/3
| 1-3/2-11/6-5/3
| | otonal
| otonal
|
|
| 6:9:10:11
|-
|-
| | 72
| 72
| | 0-2-11-23
| 0-2-11-23
| | 1-3/2-7/6-5/3
| 1-3/2-7/6-5/3
| | otonal
| otonal
| C\m6
|
| 6:7:9:10
|-
|-
| | 73
| 73
| | 0-3-11-23
| 0-3-11-23
| | 1-11/6-7/6-5/3
| 1-11/6-7/6-5/3
| | otonal
| otonal
| C\m6~7no5
|
| 6:7:10:11
|-
|-
| | 74
| 74
| | 0-3-12-23
| 0-3-12-23
| | 1-11/6-10/7-5/3
| 1-11/6-10/7-5/3
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 75
| 75
| | 0-11-12-23
| 0-11-12-23
| | 1-7/6-10/7-5/3
| 1-7/6-10/7-5/3
| | swetismic
| swetismic
| C\m6(\~5)
|
|  
|-
|-
| | 76
| 76
| | 0-11-20-23
| 0-11-20-23
| | 1-7/6-20/11-5/3
| 1-7/6-20/11-5/3
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 77
| 77
| | 0-12-20-23
| 0-12-20-23
| | 1-10/7-20/11-5/3
| 1-10/7-20/11-5/3
| | utonal
| utonal
|
|  
| 1/(20:14:12:11)
|-
|-
| | 78
| 78
| | 0-12-21-23
| 0-12-21-23
| | 1-10/7-10/9-5/3
| 1-10/7-10/9-5/3
| | utonal
| utonal
| C/7
| 1-9/7-3/2-9/5
| 1/(9:7:6:5)
|-
|-
| | 79
| 79
| | 0-20-21-23
| 0-20-21-23
| | 1-20/11-10/9-5/3
| 1-20/11-10/9-5/3
| | utonal
| utonal
| C/7~13no3
| 1-3/2-18/11-9/5
| 1/(18:12:11:10)
|-
|-
| | 80
| 80
| | 0-2-4-25
| 0-2-4-25
| | 1-3/2-9/8-5/4
| 1-3/2-9/8-5/4
| | otonal
| otonal
| C\,9
|
| 4:5:6:9
|-
|-
| | 81
| 81
| | 0-2-5-25
| 0-2-5-25
| | 1-3/2-11/8-5/4
| 1-3/2-11/8-5/4
| | otonal
| otonal
| C\,~11
|
| 8:10:11:12
|-
|-
| | 82
| 82
| | 0-4-5-25
| 0-4-5-25
| | 1-9/8-11/8-5/4
| 1-9/8-11/8-5/4
| | otonal
| otonal
| C\,9(\b5)
|
| 8:9:10:11
|-
|-
| | 83
| 83
| | 0-4-12-25
| 0-4-12-25
| | 1-9/8-10/7-5/4
| 1-9/8-10/7-5/4
| | werckismic
| werckismic
| C,9(\~5)
|
|  
|-
|-
| | 84
| 84
| | 0-2-13-25
| 0-2-13-25
| | 1-3/2-7/4-5/4
| 1-3/2-7/4-5/4
| | otonal
| otonal
| C\7
|
| 4:5:6:7
|-
|-
| | 85
| 85
| | 0-4-13-25
| 0-4-13-25
| | 1-9/8-7/4-5/4
| 1-9/8-7/4-5/4
| | otonal
| otonal
| C\9no5
|
| 4:5:7:9
|-
|-
| | 86
| 86
| | 0-5-13-25
| 0-5-13-25
| | 1-11/8-7/4-5/4
| 1-11/8-7/4-5/4
| | otonal
| otonal
| C\7~11no5
|  
| 4:5:7:11
|-
|-
| | 87
| 87
| | 0-12-13-25
| 0-12-13-25
| | 1-10/7-7/4-5/4
| 1-10/7-7/4-5/4
| | werckismic
| werckismic
| C\7(\~5)
|
|  
|-
|-
| | 88
| 88
| | 0-12-20-25
| 0-12-20-25
| | 1-10/7-20/11-5/4
| 1-10/7-20/11-5/4
| | utonal
| utonal
| C,\7(b5)
| 1-14/11-7/5-7/4
| 1/(20:16:14:11)
|-
|-
| | 89
| 89
| | 0-12-21-25
| 0-12-21-25
| | 1-10/7-10/9-5/4
| 1-10/7-10/9-5/4
| | utonal
| utonal
| C/9no5
| 1-9/7-9/5-9/4
| 1/(10:9:8:7)
|-
|-
| | 90
| 90
| | 0-13-21-25
| 0-13-21-25
| | 1-7/4-10/9-5/4
| 1-7/4-10/9-5/4
| | werckismic
| werckismic
| C\7\9no5
|
|  
|-
|-
| | 91
| 91
| | 0-20-21-25
| 0-20-21-25
| | 1-20/11-10/9-5/4
| 1-20/11-10/9-5/4
| | utonal
| utonal
| C2~6^7no5
| 1-18/11-9/5-9/4
| 1/(20:18:16:11)
|-
|-
| | 92
| 92
| | 0-2-23-25
| 0-2-23-25
| | 1-3/2-5/3-5/4
| 1-3/2-5/3-5/4
| | ambitonal
| ambitonal
| C\6 <u>or</u> C/m7
| 1-6/5-3/2-9/5
|  
|-
|-
| | 93
| 93
| | 0-12-23-25
| 0-12-23-25
| | 1-10/7-5/3-5/4
| 1-10/7-5/3-5/4
| | utonal
| utonal
| C/m6<br>C\m7(b5)
| 1-6/5-3/2-12/7<br>1-7/6-7/5-7/4
| 1/(12:10:8:7)<br>1/(7:6:5:4)
|-
|-
| | 94
| 94
| | 0-20-23-25
| 0-20-23-25
| | 1-20/11-5/3-5/4
| 1-20/11-5/3-5/4
| | utonal
| utonal
| C/m,~9
| 1-6/5-3/2-24/11
| 1/(24:20:18:11)
|-
|-
| | 95
| 95
| | 0-21-23-25
| 0-21-23-25
| | 1-10/9-5/3-5/4
| 1-10/9-5/3-5/4
| | utonal
| utonal
| C/9no3
| 1-3/2-9/5-9/4
| 1/(9:6:5:4)
|}
|}


=Pentads=
== Pentads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Genspans
| | Transversal
! Transversal
| | Type
! Type
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| | 1
| 1
| | 0-1-2-3-4
| 0-1-2-3-4
| | 1-11/9-3/2-11/6-9/8
| 1-11/9-3/2-11/6-9/8
| | rastmic
| rastmic
| C~9
|
|  
|-
|-
| | 2
| 2
| | 0-1-2-3-5
| 0-1-2-3-5
| | 1-11/9-3/2-11/6-11/8
| 1-11/9-3/2-11/6-11/8
| | rastmic
| rastmic
| C~11no9
|
|  
|-
|-
| | 3
| 3
| | 0-1-2-4-5
| 0-1-2-4-5
| | 1-11/9-3/2-9/8-11/8
| 1-11/9-3/2-9/8-11/8
| | rastmic
| rastmic
| C~11no7
|
|  
|-
|-
| | 4
| 4
| | 0-1-3-4-5
| 0-1-3-4-5
| | 1-11/9-11/6-9/8-11/8
| 1-11/9-11/6-9/8-11/8
| | rastmic
| rastmic
| C~11no5
|
|  
|-
|-
| | 5
| 5
| | 0-2-3-4-5
| 0-2-3-4-5
| | 1-3/2-11/6-9/8-11/8
| 1-3/2-11/6-9/8-11/8
| | rastmic
| rastmic
| C~11no3
|
|  
|-
|-
| | 6
| 6
| | 0-3-4-5-8
| 0-3-4-5-8
| | 1-11/6-9/8-11/8-14/11
| 1-11/6-9/8-11/8-14/11
| | nofives
| parahemif
|
|
|  
|-
|-
| | 7
| 7
| | 0-1-4-5-9
| 0-1-4-5-9
| | 1-11/9-9/8-11/8-14/9
| 1-11/9-9/8-11/8-14/9
| | nofives
| parahemif
|
|
|  
|-
|-
| | 8
| 8
| | 0-4-5-8-9
| 0-4-5-8-9
| | 1-9/8-11/8-14/11-14/9
| 1-9/8-11/8-14/11-14/9
| | nofives
| parahemif
|
|
|  
|-
|-
| | 9
| 9
| | 0-1-3-4-12
| 0-1-3-4-12
| | 1-11/9-11/6-9/8-10/7
| 1-11/9-11/6-9/8-10/7
| | jove
| jove
|
|
|  
|-
|-
| | 10
| 10
| | 0-3-4-8-12
| 0-3-4-8-12
| | 1-11/6-9/8-14/11-10/7
| 1-11/6-9/8-14/11-10/7
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 11
| 11
| | 0-1-4-9-12
| 0-1-4-9-12
| | 1-11/9-9/8-14/9-10/7
| 1-11/9-9/8-14/9-10/7
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 12
| 12
| | 0-4-8-9-12
| 0-4-8-9-12
| | 1-9/8-14/11-14/9-10/7
| 1-9/8-14/11-14/9-10/7
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 13
| 13
| | 0-3-8-11-12
| 0-3-8-11-12
| | 1-11/6-14/11-7/6-10/7
| 1-11/6-14/11-7/6-10/7
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 14
| 14
| | 0-8-9-11-12
| 0-8-9-11-12
| | 1-14/11-14/9-7/6-10/7
| 1-14/11-14/9-7/6-10/7
| | jove
| jove
|
|
|  
|-
|-
| | 15
| 15
| | 0-1-2-4-13
| 0-1-2-4-13
| | 1-11/9-3/2-9/8-7/4
| 1-11/9-3/2-9/8-7/4
| | jove
| jove
| C~9(\m7)
|
|  
|-
|-
| | 16
| 16
| | 0-1-2-5-13
| 0-1-2-5-13
| | 1-11/9-3/2-11/8-7/4
| 1-11/9-3/2-11/8-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 17
| 17
| | 0-1-4-5-13
| 0-1-4-5-13
| | 1-11/9-9/8-11/8-7/4
| 1-11/9-9/8-11/8-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 18
| 18
| | 0-2-4-5-13
| 0-2-4-5-13
| | 1-3/2-9/8-11/8-7/4
| 1-3/2-9/8-11/8-7/4
| | otonal
| otonal
| C\9~11no3
|  
| 4:6:7:9:11
|-
|-
| | 19
| 19
| | 0-4-5-8-13
| 0-4-5-8-13
| | 1-9/8-11/8-14/11-7/4
| 1-9/8-11/8-14/11-7/4
| | nofives
| parahemif
|
|
|  
|-
|-
| | 20
| 20
| | 0-1-4-9-13
| 0-1-4-9-13
| | 1-11/9-9/8-14/9-7/4
| 1-11/9-9/8-14/9-7/4
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 21
| 21
| | 0-1-5-9-13
| 0-1-5-9-13
| | 1-11/9-11/8-14/9-7/4
| 1-11/9-11/8-14/9-7/4
| | pele
| pele
|
|
|  
|-
|-
| | 22
| 22
| | 0-4-5-9-13
| 0-4-5-9-13
| | 1-9/8-11/8-14/9-7/4
| 1-9/8-11/8-14/9-7/4
| | pentacircle
| pentacircle
|
|
|  
|-
|-
| | 23
| 23
| | 0-4-8-9-13
| 0-4-8-9-13
| | 1-9/8-14/11-14/9-7/4
| 1-9/8-14/11-14/9-7/4
| | pentacircle
| pentacircle
|
|
|  
|-
|-
| | 24
| 24
| | 0-5-8-9-13
| 0-5-8-9-13
| | 1-11/8-14/11-14/9-7/4
| 1-11/8-14/11-14/9-7/4
| | nofives
| parahemif
|
|
|  
|-
|-
| | 25
| 25
| | 0-8-9-11-13
| 0-8-9-11-13
| | 1-14/11-14/9-7/6-7/4
| 1-14/11-14/9-7/6-7/4
| | utonal
| utonal
| C/,~6,9
| 1-9/7-3/2-18/11-9/4
| 1/(18:14:12:11:8)
|-
|-
| | 26
| 26
| | 0-1-4-12-13
| 0-1-4-12-13
| | 1-11/9-9/8-10/7-7/4
| 1-11/9-9/8-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 27
| 27
| | 0-4-8-12-13
| 0-4-8-12-13
| | 1-9/8-14/11-10/7-7/4
| 1-9/8-14/11-10/7-7/4
| | pele
| pele
|
|
|  
|-
|-
| | 28
| 28
| | 0-1-9-12-13
| 0-1-9-12-13
| | 1-11/9-14/9-10/7-7/4
| 1-11/9-14/9-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 29
| 29
| | 0-4-9-12-13
| 0-4-9-12-13
| | 1-9/8-14/9-10/7-7/4
| 1-9/8-14/9-10/7-7/4
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 30
| 30
| | 0-8-9-12-13
| 0-8-9-12-13
| | 1-14/11-14/9-10/7-7/4
| 1-14/11-14/9-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 31
| 31
| | 0-8-11-12-13
| 0-8-11-12-13
| | 1-14/11-7/6-10/7-7/4
| 1-14/11-7/6-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 32
| 32
| | 0-9-11-12-13
| 0-9-11-12-13
| | 1-14/9-7/6-10/7-7/4
| 1-14/9-7/6-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 33
| 33
| | 0-8-9-11-20
| 0-8-9-11-20
| | 1-14/11-14/9-7/6-20/11
| 1-14/11-14/9-7/6-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 34
| 34
| | 0-8-9-12-20
| 0-8-9-12-20
| | 1-14/11-14/9-10/7-20/11
| 1-14/11-14/9-10/7-20/11
| | jove
| jove
|
|
|  
|-
|-
| | 35
| 35
| | 0-8-11-12-20
| 0-8-11-12-20
| | 1-14/11-7/6-10/7-20/11
| 1-14/11-7/6-10/7-20/11
| | jove
| jove
|
|
|  
|-
|-
| | 36
| 36
| | 0-9-11-12-20
| 0-9-11-12-20
| | 1-14/9-7/6-10/7-20/11
| 1-14/9-7/6-10/7-20/11
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 37
| 37
| | 0-1-9-12-21
| 0-1-9-12-21
| | 1-11/9-14/9-10/7-10/9
| 1-11/9-14/9-10/7-10/9
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 38
| 38
| | 0-8-9-12-21
| 0-8-9-12-21
| | 1-14/11-14/9-10/7-10/9
| 1-14/11-14/9-10/7-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 39
| 39
| | 0-1-9-13-21
| 0-1-9-13-21
| | 1-11/9-14/9-7/4-10/9
| 1-11/9-14/9-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 40
| 40
| | 0-8-9-13-21
| 0-8-9-13-21
| | 1-14/11-14/9-7/4-10/9
| 1-14/11-14/9-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 41
| 41
| | 0-1-12-13-21
| 0-1-12-13-21
| | 1-11/9-10/7-7/4-10/9
| 1-11/9-10/7-7/4-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 42
| 42
| | 0-8-12-13-21
| 0-8-12-13-21
| | 1-14/11-10/7-7/4-10/9
| 1-14/11-10/7-7/4-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 43
| 43
| | 0-9-12-13-21
| 0-9-12-13-21
| | 1-14/9-10/7-7/4-10/9
| 1-14/9-10/7-7/4-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 44
| 44
| | 0-8-9-20-21
| 0-8-9-20-21
| | 1-14/11-14/9-20/11-10/9
| 1-14/11-14/9-20/11-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 45
| 45
| | 0-8-12-20-21
| 0-8-12-20-21
| | 1-14/11-10/7-20/11-10/9
| 1-14/11-10/7-20/11-10/9
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 46
| 46
| | 0-9-12-20-21
| 0-9-12-20-21
| | 1-14/9-10/7-20/11-10/9
| 1-14/9-10/7-20/11-10/9
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 47
| 47
| | 0-2-3-11-23
| 0-2-3-11-23
| | 1-3/2-11/6-7/6-5/3
| 1-3/2-11/6-7/6-5/3
| | otonal
| otonal
| C\m6~7
|
| 6:7:9:10:11
|-
|-
| | 48
| 48
| | 0-3-11-12-23
| 0-3-11-12-23
| | 1-11/6-7/6-10/7-5/3
| 1-11/6-7/6-10/7-5/3
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 49
| 49
| | 0-11-12-20-23
| 0-11-12-20-23
| | 1-7/6-10/7-20/11-5/3
| 1-7/6-10/7-20/11-5/3
| | swetismic
| swetismic
|
|
|  
|-
|-
| | 50
| 50
| | 0-12-20-21-23
| 0-12-20-21-23
| | 1-10/7-20/11-10/9-5/3
| 1-10/7-20/11-10/9-5/3
| | utonal
| utonal
| C/7~6
| 1-9/7-3/2-18/11-9/5
| 1/(18:14:12:11:10)
|-
|-
| | 51
| 51
| | 0-2-4-5-25
| 0-2-4-5-25
| | 1-3/2-9/8-11/8-5/4
| 1-3/2-9/8-11/8-5/4
| | otonal
| otonal
| C\,9~11
|
| 4:5:6:9:11
|-
|-
| | 52
| 52
| | 0-2-4-13-25
| 0-2-4-13-25
| | 1-3/2-9/8-7/4-5/4
| 1-3/2-9/8-7/4-5/4
| | otonal
| otonal
| C\9
|  
| 4:5:6:7:9
|-
|-
| | 53
| 53
| | 0-2-5-13-25
| 0-2-5-13-25
| | 1-3/2-11/8-7/4-5/4
| 1-3/2-11/8-7/4-5/4
| | otonal
| otonal
| C\7~11
|
| 4:5:6:7:11
|-
|-
| | 54
| 54
| | 0-4-5-13-25
| 0-4-5-13-25
| | 1-9/8-11/8-7/4-5/4
| 1-9/8-11/8-7/4-5/4
| | otonal
| otonal
| C\9~11no5
|
| 4:5:7:9:11
|-
|-
| | 55
| 55
| | 0-4-12-13-25
| 0-4-12-13-25
| | 1-9/8-10/7-7/4-5/4
| 1-9/8-10/7-7/4-5/4
| | werckismic
| werckismic
| C\9(\~5)
|
|  
|-
|-
| | 56
| 56
| | 0-12-13-21-25
| 0-12-13-21-25
| | 1-10/7-7/4-10/9-5/4
| 1-10/7-7/4-10/9-5/4
| | werckismic
| werckismic
|
|
|  
|-
|-
| | 57
| 57
| | 0-12-20-21-25
| 0-12-20-21-25
| | 1-10/7-20/11-10/9-5/4
| 1-10/7-20/11-10/9-5/4
| | utonal
| utonal
| C/9~6no5
| 1-9/7-18/11-9/5-9/4
| 1/(18:14:11:10:8)
|-
|-
| | 58
| 58
| | 0-12-20-23-25
| 0-12-20-23-25
| | 1-10/7-20/11-5/3-5/4
| 1-10/7-20/11-5/3-5/4
| | utonal
| utonal
| C/m6~9
| 1-6/5-3/2-12/7-24/11
| 1/(24:20:16:14:11)
|-
|-
| | 59
| 59
| | 0-12-21-23-25
| 0-12-21-23-25
| | 1-10/7-10/9-5/3-5/4
| 1-10/7-10/9-5/3-5/4
| | utonal
| utonal
| C/9
| 1-9/7-3/2-9/5-9/4
| 1/(9:7:6:5:4)
|-
|-
| | 60
| 60
| | 0-20-21-23-25
| 0-20-21-23-25
| | 1-20/11-10/9-5/3-5/4
| 1-20/11-10/9-5/3-5/4
| | utonal
| utonal
| C/9~6no3
| 1-3/2-18/11-9/5-9/4
| 1/(18:12:11:10:8)
|}
|}


=Hexads=
== Hexads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Genspans
| | Transversal
! Transversal
| | Type
! Type
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| | 1
| 1
| | 0-1-2-3-4-5
| 0-1-2-3-4-5
| | 1-11/9-3/2-11/6-9/8-11/8
| 1-11/9-3/2-11/6-9/8-11/8
| | rastmic
| rastmic
| C~11
|
|  
|-
|-
| | 2
| 2
| | 0-1-2-4-5-13
| 0-1-2-4-5-13
| | 1-11/9-3/2-9/8-11/8-7/4
| 1-11/9-3/2-9/8-11/8-7/4
| | jove
| jove
| C~11(\m7)
|
|  
|-
|-
| | 3
| 3
| | 0-1-4-5-9-13
| 0-1-4-5-9-13
| | 1-11/9-9/8-11/8-14/9-7/4
| 1-11/9-9/8-11/8-14/9-7/4
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 4
| 4
| | 0-4-5-8-9-13
| 0-4-5-8-9-13
| | 1-9/8-11/8-14/11-14/9-7/4
| 1-9/8-11/8-14/11-14/9-7/4
| | nofives
| hemififths
|
|
|  
|-
|-
| | 5
| 5
| | 0-1-4-9-12-13
| 0-1-4-9-12-13
| | 1-11/9-9/8-14/9-10/7-7/4
| 1-11/9-9/8-14/9-10/7-7/4
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 6
| 6
| | 0-4-8-9-12-13
| 0-4-8-9-12-13
| | 1-9/8-14/11-14/9-10/7-7/4
| 1-9/8-14/11-14/9-10/7-7/4
| | hemififths
| hemififths
|
|
|  
|-
|-
| | 7
| 7
| | 0-8-9-11-12-13
| 0-8-9-11-12-13
| | 1-14/11-14/9-7/6-10/7-7/4
| 1-14/11-14/9-7/6-10/7-7/4
| | jove
| jove
|
|
|  
|-
|-
| | 8
| 8
| | 0-8-9-11-12-20
| 0-8-9-11-12-20
| | 1-14/11-14/9-7/6-10/7-20/11
| 1-14/11-14/9-7/6-10/7-20/11
| | jove
| jove
|
|
|  
|-
|-
| | 9
| 9
| | 0-1-9-12-13-21
| 0-1-9-12-13-21
| | 1-11/9-14/9-10/7-7/4-10/9
| 1-11/9-14/9-10/7-7/4-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 10
| 10
| | 0-8-9-12-13-21
| 0-8-9-12-13-21
| | 1-14/11-14/9-10/7-7/4-10/9
| 1-14/11-14/9-10/7-7/4-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 11
| 11
| | 0-8-9-12-20-21
| 0-8-9-12-20-21
| | 1-14/11-14/9-10/7-20/11-10/9
| 1-14/11-14/9-10/7-20/11-10/9
| | jove
| jove
|
|
|  
|-
|-
| | 12
| 12
| | 0-2-4-5-13-25
| 0-2-4-5-13-25
| | 1-3/2-9/8-11/8-7/4-5/4
| 1-3/2-9/8-11/8-7/4-5/4
| | otonal
| otonal
| C\9~11
|
| 4:5:6:7:9:11
|-
|-
| | 13
| 13
| | 0-12-20-21-23-25
| 0-12-20-21-23-25
| | 1-10/7-20/11-10/9-5/3-5/4
| 1-10/7-20/11-10/9-5/3-5/4
| | utonal
| utonal
| C/9~6
| 1-9/7-3/2-18/11-9/5-9/4
| 1/(18:14:12:11:10:8)
|}
|}
[[Category:Lists of chords]]
[[Category:Hemififths]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Hexads]]
Retrieved from "https://en.xen.wiki/w/Hemififths/Chords"