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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 [[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]], 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".


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 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=
== Triads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-1-2
| 0-1-2
| | 1-11/9-3/2
| 1-11/9-3/2
| | rastmic
| rastmic
|-
|-
| | 2
| 2
| | 0-1-3
| 0-1-3
| | 1-11/9-11/6
| 1-11/9-11/6
| | utonal
| utonal
|-
|-
| | 3
| 3
| | 0-2-3
| 0-2-3
| | 1-3/2-11/6
| 1-3/2-11/6
| | otonal
| otonal
|-
|-
| | 4
| 4
| | 0-1-4
| 0-1-4
| | 1-11/9-9/8
| 1-11/9-9/8
| | rastmic
| rastmic
|-
|-
| | 5
| 5
| | 0-2-4
| 0-2-4
| | 1-3/2-9/8
| 1-3/2-9/8
| | ambitonal
| ambitonal
|-
|-
| | 6
| 6
| | 0-3-4
| 0-3-4
| | 1-11/6-9/8
| 1-11/6-9/8
| | rastmic
| rastmic
|-
|-
| | 7
| 7
| | 0-1-5
| 0-1-5
| | 1-11/9-11/8
| 1-11/9-11/8
| | utonal
| utonal
|-
|-
| | 8
| 8
| | 0-2-5
| 0-2-5
| | 1-3/2-11/8
| 1-3/2-11/8
| | otonal
| otonal
|-
|-
| | 9
| 9
| | 0-3-5
| 0-3-5
| | 1-11/6-11/8
| 1-11/6-11/8
| | utonal
| utonal
|-
|-
| | 10
| 10
| | 0-4-5
| 0-4-5
| | 1-9/8-11/8
| 1-9/8-11/8
| | otonal
| otonal
|-
|-
| | 11
| 11
| | 0-3-8
| 0-3-8
| | 1-11/6-14/11
| 1-11/6-14/11
| | hemimin
| hemimin
|-
|-
| | 12
| 12
| | 0-4-8
| 0-4-8
| | 1-9/8-14/11
| 1-9/8-14/11
| | pentacircle
| pentacircle
|-
|-
| | 13
| 13
| | 0-5-8
| 0-5-8
| | 1-11/8-14/11
| 1-11/8-14/11
| | hemimin
| hemimin
|-
|-
| | 14
| 14
| | 0-1-9
| 0-1-9
| | 1-11/9-14/9
| 1-11/9-14/9
| | otonal
| otonal
|-
|-
| | 15
| 15
| | 0-4-9
| 0-4-9
| | 1-9/8-14/9
| 1-9/8-14/9
| | pentacircle
| pentacircle
|-
|-
| | 16
| 16
| | 0-5-9
| 0-5-9
| | 1-11/8-14/9
| 1-11/8-14/9
| | pentacircle
| pentacircle
|-
|-
| | 17
| 17
| | 0-8-9
| 0-8-9
| | 1-14/11-14/9
| 1-14/11-14/9
| | utonal
| utonal
|-
|-
| | 18
| 18
| | 0-2-11
| 0-2-11
| | 1-3/2-7/6
| 1-3/2-7/6
| | otonal
| otonal
|-
|-
| | 19
| 19
| | 0-3-11
| 0-3-11
| | 1-11/6-7/6
| 1-11/6-7/6
| | otonal
| otonal
|-
|-
| | 20
| 20
| | 0-8-11
| 0-8-11
| | 1-14/11-7/6
| 1-14/11-7/6
| | utonal
| utonal
|-
|-
| | 21
| 21
| | 0-9-11
| 0-9-11
| | 1-14/9-7/6
| 1-14/9-7/6
| | utonal
| utonal
|-
|-
| | 22
| 22
| | 0-1-12
| 0-1-12
| | 1-11/9-10/7
| 1-11/9-10/7
| | swetismic
| swetismic
|-
|-
| | 23
| 23
| | 0-3-12
| 0-3-12
| | 1-11/6-10/7
| 1-11/6-10/7
| | swetismic
| swetismic
|-
|-
| | 24
| 24
| | 0-4-12
| 0-4-12
| | 1-9/8-10/7
| 1-9/8-10/7
| | werckismic
| werckismic
|-
|-
| | 25
| 25
| | 0-8-12
| 0-8-12
| | 1-14/11-10/7
| 1-14/11-10/7
| | werckismic
| werckismic
|-
|-
| | 26
| 26
| | 0-9-12
| 0-9-12
| | 1-14/9-10/7
| 1-14/9-10/7
| | swetismic
| swetismic
|-
|-
| | 27
| 27
| | 0-11-12
| 0-11-12
| | 1-7/6-10/7
| 1-7/6-10/7
| | swetismic
| swetismic
|-
|-
| | 28
| 28
| | 0-1-13
| 0-1-13
| | 1-11/9-7/4
| 1-11/9-7/4
| | werckismic
| werckismic
|-
|-
| | 29
| 29
| | 0-2-13
| 0-2-13
| | 1-3/2-7/4
| 1-3/2-7/4
| | otonal
| otonal
|-
|-
| | 30
| 30
| | 0-4-13
| 0-4-13
| | 1-9/8-7/4
| 1-9/8-7/4
| | otonal
| otonal
|-
|-
| | 31
| 31
| | 0-5-13
| 0-5-13
| | 1-11/8-7/4
| 1-11/8-7/4
| | otonal
| otonal
|-
|-
| | 32
| 32
| | 0-8-13
| 0-8-13
| | 1-14/11-7/4
| 1-14/11-7/4
| | utonal
| utonal
|-
|-
| | 33
| 33
| | 0-9-13
| 0-9-13
| | 1-14/9-7/4
| 1-14/9-7/4
| | utonal
| utonal
|-
|-
| | 34
| 34
| | 0-11-13
| 0-11-13
| | 1-7/6-7/4
| 1-7/6-7/4
| | utonal
| utonal
|-
|-
| | 35
| 35
| | 0-12-13
| 0-12-13
| | 1-10/7-7/4
| 1-10/7-7/4
| | werckismic
| werckismic
|-
|-
| | 36
| 36
| | 0-8-20
| 0-8-20
| | 1-14/11-20/11
| 1-14/11-20/11
| | otonal
| otonal
|-
|-
| | 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
|-
|-
| | 39
| 39
| | 0-12-20
| 0-12-20
| | 1-10/7-20/11
| 1-10/7-20/11
| | utonal
| utonal
|-
|-
| | 40
| 40
| | 0-1-21
| 0-1-21
| | 1-11/9-10/9
| 1-11/9-10/9
| | otonal
| otonal
|-
|-
| | 41
| 41
| | 0-8-21
| 0-8-21
| | 1-14/11-10/9
| 1-14/11-10/9
| | werckismic
| werckismic
|-
|-
| | 42
| 42
| | 0-9-21
| 0-9-21
| | 1-14/9-10/9
| 1-14/9-10/9
| | otonal
| otonal
|-
|-
| | 43
| 43
| | 0-12-21
| 0-12-21
| | 1-10/7-10/9
| 1-10/7-10/9
| | utonal
| utonal
|-
|-
| | 44
| 44
| | 0-13-21
| 0-13-21
| | 1-7/4-10/9
| 1-7/4-10/9
| | werckismic
| werckismic
|-
|-
| | 45
| 45
| | 0-20-21
| 0-20-21
| | 1-20/11-10/9
| 1-20/11-10/9
| | utonal
| utonal
|-
|-
| | 46
| 46
| | 0-2-23
| 0-2-23
| | 1-3/2-5/3
| 1-3/2-5/3
| | otonal
| otonal
|-
|-
| | 47
| 47
| | 0-3-23
| 0-3-23
| | 1-11/6-5/3
| 1-11/6-5/3
| | otonal
| otonal
|-
|-
| | 48
| 48
| | 0-11-23
| 0-11-23
| | 1-7/6-5/3
| 1-7/6-5/3
| | otonal
| otonal
|-
|-
| | 49
| 49
| | 0-12-23
| 0-12-23
| | 1-10/7-5/3
| 1-10/7-5/3
| | utonal
| utonal
|-
|-
| | 50
| 50
| | 0-20-23
| 0-20-23
| | 1-20/11-5/3
| 1-20/11-5/3
| | utonal
| utonal
|-
|-
| | 51
| 51
| | 0-21-23
| 0-21-23
| | 1-10/9-5/3
| 1-10/9-5/3
| | utonal
| utonal
|-
|-
| | 52
| 52
| | 0-2-25
| 0-2-25
| | 1-3/2-5/4
| 1-3/2-5/4
| | otonal
| otonal
|-
|-
| | 53
| 53
| | 0-4-25
| 0-4-25
| | 1-9/8-5/4
| 1-9/8-5/4
| | otonal
| otonal
|-
|-
| | 54
| 54
| | 0-5-25
| 0-5-25
| | 1-11/8-5/4
| 1-11/8-5/4
| | otonal
| otonal
|-
|-
| | 55
| 55
| | 0-12-25
| 0-12-25
| | 1-10/7-5/4
| 1-10/7-5/4
| | utonal
| utonal
|-
|-
| | 56
| 56
| | 0-13-25
| 0-13-25
| | 1-7/4-5/4
| 1-7/4-5/4
| | otonal
| otonal
|-
|-
| | 57
| 57
| | 0-20-25
| 0-20-25
| | 1-20/11-5/4
| 1-20/11-5/4
| | utonal
| utonal
|-
|-
| | 58
| 58
| | 0-21-25
| 0-21-25
| | 1-10/9-5/4
| 1-10/9-5/4
| | utonal
| utonal
|-
|-
| | 59
| 59
| | 0-23-25
| 0-23-25
| | 1-5/3-5/4
| 1-5/3-5/4
| | utonal
| utonal
|}
|}


=Tetrads=
== Tetrads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
| nofives
|-
|-
| | 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
|-
|-
| | 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
| nofives
|-
|-
| | 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
| nofives
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
| nofives
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|}
|}


=Pentads=
== Pentads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
| nofives
|-
|-
| | 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
| nofives
|-
|-
| | 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
| nofives
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
| nofives
|-
|-
| | 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
| nofives
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
|}
|}


=Hexads=
== Hexads ==
 
{| class="wikitable center-1"
{| class="wikitable"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 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
|-
|-
| | 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
|-
|-
| | 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
| nofives
|-
|-
| | 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
|-
|-
| | 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
|}
|}
[[Category:Chords]]
[[Category:Hemififths]]
[[Category:Triad]]
[[Category:Tetrad]]
[[Category:Pentad]]
[[Category:Hexad]]
Retrieved from "https://en.xen.wiki/w/Hemififths/Chords"