Chords of magic: Difference between revisions

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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.
Below are listed the [[dyadic chord]]s of 11-limit [[Magic|magic temperament]]. Typing the chords requires consideration of the fact that magic conflates [[10/9]] and [[11/10]] and so also [[9/5]] and [[20/11]]. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.


Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/225, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.
Chords requiring tempering only by [[225/224]] are labeled [[Marvel chords|marvel]], by [[245/243]] [[Sensamagic chords|sensamagic]], by [[100/99]] [[Ptolemismic triad|ptolemismic]], by [[896/891]] [[Pentacircle chords|pentacircle]], by [[385/384]] [[Keenanismic chords|keenanismic]], and by [[540/539]] [[Swetismic chords|swetismic]]. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384 or 540/539 [[Undecimal marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[Magical seventh chord|supermagic]]. Finally, anything requiring three independent commas among those discussed above is labeled magic.


Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.
Magic has MOS of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven note MOS is not without a few harmonic resources, and the larger MOS do much better.


=Triads=
== Triads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-1-2
| 0-1-2
| | 1-5/4-14/9
| 1-5/4-14/9
| | marvel
| marvel
|-
|-
| | 2
| 2
| | 0-2-4
| 0-2-4
| | 1-14/9-6/5
| 1-14/9-6/5
| | sensamagic
| sensamagic
|-
|-
| | 3
| 3
| | 0-1-5
| 0-1-5
| | 1-5/4-3/2
| 1-5/4-3/2
| | otonal
| otonal
|-
|-
| | 4
| 4
| | 0-4-5
| 0-4-5
| | 1-6/5-3/2
| 1-6/5-3/2
| | utonal
| utonal
|-
|-
| | 5
| 5
| | 0-2-7
| 0-2-7
| | 1-14/9-7/6
| 1-14/9-7/6
| | utonal
| utonal
|-
|-
| | 6
| 6
| | 0-5-7
| 0-5-7
| | 1-3/2-7/6
| 1-3/2-7/6
| | otonal
| otonal
|-
|-
| | 7
| 7
| | 0-1-8
| 0-1-8
| | 1-5/4-16/11
| 1-5/4-16/11
| | keenanismic
| keenanismic
|-
|-
| | 8
| 8
| | 0-4-8
| 0-4-8
| | 1-6/5-16/11
| 1-6/5-16/11
| | ptolemismic
| ptolemismic
|-
|-
| | 9
| 9
| | 0-7-8
| 0-7-8
| | 1-7/6-16/11
| 1-7/6-16/11
| | keenanismic
| keenanismic
|-
|-
| | 10
| 10
| | 0-1-9
| 0-1-9
| | 1-5/4-20/11
| 1-5/4-20/11
| | utonal
| utonal
|-
|-
| | 11
| 11
| | 0-2-9
| 0-2-9
| | 1-14/9-9/5
| 1-14/9-9/5
| | sensamagic
| sensamagic
|-
|-
| | 12
| 12
| | 0-4-9
| 0-4-9
| | 1-6/5-9/5
| 1-6/5-9/5
| | otonal
| otonal
|-
|-
| | 13
| 13
| | 0-5-9
| 0-5-9
| | 1-3/2-9/5
| 1-3/2-9/5
| | utonal
| utonal
|-
|-
| | 14
| 14
| | 0-7-9
| 0-7-9
| | 1-7/6-9/5
| 1-7/6-9/5
| | sensamagic
| sensamagic
|-
|-
| | 15
| 15
| | 0-8-9
| 0-8-9
| | 1-16/11-20/11
| 1-16/11-20/11
| | otonal
| otonal
|-
|-
| | 16
| 16
| | 0-1-10
| 0-1-10
| | 1-5/4-9/8
| 1-5/4-9/8
| | otonal
| otonal
|-
|-
| | 17
| 17
| | 0-2-10
| 0-2-10
| | 1-14/9-9/8
| 1-14/9-9/8
| | pentacircle
| pentacircle
|-
|-
| | 18
| 18
| | 0-5-10
| 0-5-10
| | 1-3/2-9/8
| 1-3/2-9/8
| | ambitonal
| ambitonal
|-
|-
| | 19
| 19
| | 0-8-10
| 0-8-10
| | 1-16/11-9/8
| 1-16/11-9/8
| | pentacircle
| pentacircle
|-
|-
| | 20
| 20
| | 0-9-10
| 0-9-10
| | 1-9/5-9/8
| 1-9/5-9/8
| | utonal
| utonal
|-
|-
| | 21
| 21
| | 0-1-11
| 0-1-11
| | 1-5/4-7/5
| 1-5/4-7/5
| | marvel
| marvel
|-
|-
| | 22
| 22
| | 0-2-11
| 0-2-11
| | 1-14/9-7/5
| 1-14/9-7/5
| | utonal
| utonal
|-
|-
| | 23
| 23
| | 0-4-11
| 0-4-11
| | 1-6/5-7/5
| 1-6/5-7/5
| | otonal
| otonal
|-
|-
| | 24
| 24
| | 0-7-11
| 0-7-11
| | 1-7/6-7/5
| 1-7/6-7/5
| | utonal
| utonal
|-
|-
| | 25
| 25
| | 0-9-11
| 0-9-11
| | 1-9/5-7/5
| 1-9/5-7/5
| | otonal
| otonal
|-
|-
| | 26
| 26
| | 0-10-11
| 0-10-11
| | 1-9/8-7/5
| 1-9/8-7/5
| | marvel
| marvel
|-
|-
| | 27
| 27
| | 0-1-12
| 0-1-12
| | 1-5/4-7/4
| 1-5/4-7/4
| | otonal
| otonal
|-
|-
| | 28
| 28
| | 0-2-12
| 0-2-12
| | 1-14/9-7/4
| 1-14/9-7/4
| | utonal
| utonal
|-
|-
| | 29
| 29
| | 0-4-12
| 0-4-12
| | 1-6/5-7/4
| 1-6/5-7/4
| | keenanismic
| keenanismic
|-
|-
| | 30
| 30
| | 0-5-12
| 0-5-12
| | 1-3/2-7/4
| 1-3/2-7/4
| | otonal
| otonal
|-
|-
| | 31
| 31
| | 0-7-12
| 0-7-12
| | 1-7/6-7/4
| 1-7/6-7/4
| | utonal
| utonal
|-
|-
| | 32
| 32
| | 0-8-12
| 0-8-12
| | 1-16/11-7/4
| 1-16/11-7/4
| | keenanismic
| keenanismic
|-
|-
| | 33
| 33
| | 0-10-12
| 0-10-12
| | 1-9/8-7/4
| 1-9/8-7/4
| | otonal
| otonal
|-
|-
| | 34
| 34
| | 0-11-12
| 0-11-12
| | 1-7/5-7/4
| 1-7/5-7/4
| | utonal
| utonal
|-
|-
| | 35
| 35
| | 0-1-13
| 0-1-13
| | 1-5/4-12/11
| 1-5/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 36
| 36
| | 0-2-13
| 0-2-13
| | 1-14/9-12/11
| 1-14/9-12/11
| | swetismic
| swetismic
|-
|-
| | 37
| 37
| | 0-4-13
| 0-4-13
| | 1-6/5-12/11
| 1-6/5-12/11
| | utonal
| utonal
|-
|-
| | 38
| 38
| | 0-5-13
| 0-5-13
| | 1-3/2-12/11
| 1-3/2-12/11
| | utonal
| utonal
|-
|-
| | 39
| 39
| | 0-8-13
| 0-8-13
| | 1-16/11-12/11
| 1-16/11-12/11
| | otonal
| otonal
|-
|-
| | 40
| 40
| | 0-9-13
| 0-9-13
| | 1-20/11-12/11
| 1-20/11-12/11
| | otonal
| otonal
|-
|-
| | 41
| 41
| | 0-11-13
| 0-11-13
| | 1-7/5-12/11
| 1-7/5-12/11
| | swetismic
| swetismic
|-
|-
| | 42
| 42
| | 0-12-13
| 0-12-13
| | 1-7/4-12/11
| 1-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 43
| 43
| | 0-5-18
| 0-5-18
| | 1-3/2-18/11
| 1-3/2-18/11
| | utonal
| utonal
|-
|-
| | 44
| 44
| | 0-7-18
| 0-7-18
| | 1-7/6-18/11
| 1-7/6-18/11
| | swetismic
| swetismic
|-
|-
| | 45
| 45
| | 0-8-18
| 0-8-18
| | 1-16/11-18/11
| 1-16/11-18/11
| | otonal
| otonal
|-
|-
| | 46
| 46
| | 0-9-18
| 0-9-18
| | 1-9/5-18/11
| 1-9/5-18/11
| | utonal
| utonal
|-
|-
| | 47
| 47
| | 0-10-18
| 0-10-18
| | 1-9/8-18/11
| 1-9/8-18/11
| | utonal
| utonal
|-
|-
| | 48
| 48
| | 0-11-18
| 0-11-18
| | 1-7/5-18/11
| 1-7/5-18/11
| | swetismic
| swetismic
|-
|-
| | 49
| 49
| | 0-13-18
| 0-13-18
| | 1-12/11-18/11
| 1-12/11-18/11
| | otonal
| otonal
|-
|-
| | 50
| 50
| | 0-2-20
| 0-2-20
| | 1-14/9-14/11
| 1-14/9-14/11
| | utonal
| utonal
|-
|-
| | 51
| 51
| | 0-7-20
| 0-7-20
| | 1-7/6-14/11
| 1-7/6-14/11
| | utonal
| utonal
|-
|-
| | 52
| 52
| | 0-8-20
| 0-8-20
| | 1-16/11-14/11
| 1-16/11-14/11
| | otonal
| otonal
|-
|-
| | 53
| 53
| | 0-9-20
| 0-9-20
| | 1-20/11-14/11
| 1-20/11-14/11
| | otonal
| otonal
|-
|-
| | 54
| 54
| | 0-10-20
| 0-10-20
| | 1-9/8-14/11
| 1-9/8-14/11
| | pentacircle
| pentacircle
|-
|-
| | 55
| 55
| | 0-11-20
| 0-11-20
| | 1-7/5-14/11
| 1-7/5-14/11
| | utonal
| utonal
|-
|-
| | 56
| 56
| | 0-12-20
| 0-12-20
| | 1-7/4-14/11
| 1-7/4-14/11
| | utonal
| utonal
|-
|-
| | 57
| 57
| | 0-13-20
| 0-13-20
| | 1-12/11-14/11
| 1-12/11-14/11
| | otonal
| otonal
|-
|-
| | 58
| 58
| | 0-18-20
| 0-18-20
| | 1-18/11-14/11
| 1-18/11-14/11
| | otonal
| otonal
|}
|}


=Tetrads=
== Tetrads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-1-2-9
| 0-1-2-9
| | 1-5/4-14/9-9/5
| 1-5/4-14/9-9/5
| | magic
| magic
|-
|-
| | 2
| 2
| | 0-2-4-9
| 0-2-4-9
| | 1-14/9-6/5-9/5
| 1-14/9-6/5-9/5
| | sensamagic
| sensamagic
|-
|-
| | 3
| 3
| | 0-1-5-9
| 0-1-5-9
| | 1-5/4-3/2-9/5
| 1-5/4-3/2-9/5
| | ptolemismic
| ptolemismic
|-
|-
| | 4
| 4
| | 0-4-5-9
| 0-4-5-9
| | 1-6/5-3/2-9/5
| 1-6/5-3/2-9/5
| | ambitonal
| ambitonal
|-
|-
| | 5
| 5
| | 0-2-7-9
| 0-2-7-9
| | 1-14/9-7/6-9/5
| 1-14/9-7/6-9/5
| | sensamagic
| sensamagic
|-
|-
| | 6
| 6
| | 0-5-7-9
| 0-5-7-9
| | 1-3/2-7/6-9/5
| 1-3/2-7/6-9/5
| | sensamagic
| sensamagic
|-
|-
| | 7
| 7
| | 0-1-8-9
| 0-1-8-9
| | 1-5/4-16/11-9/5
| 1-5/4-16/11-9/5
| | supermagic
| supermagic
|-
|-
| | 8
| 8
| | 0-4-8-9
| 0-4-8-9
| | 1-6/5-16/11-9/5
| 1-6/5-16/11-9/5
| | ptolemismic
| ptolemismic
|-
|-
| | 9
| 9
| | 0-7-8-9
| 0-7-8-9
| | 1-7/6-16/11-9/5
| 1-7/6-16/11-9/5
| | magic
| magic
|-
|-
| | 10
| 10
| | 0-1-2-10
| 0-1-2-10
| | 1-5/4-14/9-9/8
| 1-5/4-14/9-9/8
| | apollo
| apollo
|-
|-
| | 11
| 11
| | 0-1-5-10
| 0-1-5-10
| | 1-5/4-3/2-9/8
| 1-5/4-3/2-9/8
| | otonal
| otonal
|-
|-
| | 12
| 12
| | 0-1-8-10
| 0-1-8-10
| | 1-5/4-16/11-9/8
| 1-5/4-16/11-9/8
| | sensamagic11
| sensamagic11
|-
|-
| | 13
| 13
| | 0-1-9-10
| 0-1-9-10
| | 1-5/4-9/5-9/8
| 1-5/4-9/5-9/8
| | ptolemismic
| ptolemismic
|-
|-
| | 14
| 14
| | 0-2-9-10
| 0-2-9-10
| | 1-14/9-9/5-9/8
| 1-14/9-9/5-9/8
| | sensamagic11
| sensamagic11
|-
|-
| | 15
| 15
| | 0-5-9-10
| 0-5-9-10
| | 1-3/2-9/5-9/8
| 1-3/2-9/5-9/8
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-8-9-10
| 0-8-9-10
| | 1-16/11-9/5-9/8
| 1-16/11-9/5-9/8
| | apollo
| apollo
|-
|-
| | 17
| 17
| | 0-1-2-11
| 0-1-2-11
| | 1-5/4-14/9-7/5
| 1-5/4-14/9-7/5
| | marvel
| marvel
|-
|-
| | 18
| 18
| | 0-2-4-11
| 0-2-4-11
| | 1-14/9-6/5-7/5
| 1-14/9-6/5-7/5
| | sensamagic
| sensamagic
|-
|-
| | 19
| 19
| | 0-2-7-11
| 0-2-7-11
| | 1-14/9-7/6-7/5
| 1-14/9-7/6-7/5
| | utonal
| utonal
|-
|-
| | 20
| 20
| | 0-1-9-11
| 0-1-9-11
| | 1-5/4-9/5-7/5
| 1-5/4-9/5-7/5
| | apollo
| apollo
|-
|-
| | 21
| 21
| | 0-2-9-11
| 0-2-9-11
| | 1-14/9-9/5-7/5
| 1-14/9-9/5-7/5
| | sensamagic
| sensamagic
|-
|-
| | 22
| 22
| | 0-4-9-11
| 0-4-9-11
| | 1-6/5-9/5-7/5
| 1-6/5-9/5-7/5
| | otonal
| otonal
|-
|-
| | 23
| 23
| | 0-7-9-11
| 0-7-9-11
| | 1-7/6-9/5-7/5
| 1-7/6-9/5-7/5
| | sensamagic
| sensamagic
|-
|-
| | 24
| 24
| | 0-1-10-11
| 0-1-10-11
| | 1-5/4-9/8-7/5
| 1-5/4-9/8-7/5
| | marvel
| marvel
|-
|-
| | 25
| 25
| | 0-2-10-11
| 0-2-10-11
| | 1-14/9-9/8-7/5
| 1-14/9-9/8-7/5
| | apollo
| apollo
|-
|-
| | 26
| 26
| | 0-9-10-11
| 0-9-10-11
| | 1-9/5-9/8-7/5
| 1-9/5-9/8-7/5
| | marvel
| marvel
|-
|-
| | 27
| 27
| | 0-1-2-12
| 0-1-2-12
| | 1-5/4-14/9-7/4
| 1-5/4-14/9-7/4
| | marvel
| marvel
|-
|-
| | 28
| 28
| | 0-2-4-12
| 0-2-4-12
| | 1-14/9-6/5-7/4
| 1-14/9-6/5-7/4
| | sensamagic11
| sensamagic11
|-
|-
| | 29
| 29
| | 0-1-5-12
| 0-1-5-12
| | 1-5/4-3/2-7/4
| 1-5/4-3/2-7/4
| | otonal
| otonal
|-
|-
| | 30
| 30
| | 0-4-5-12
| 0-4-5-12
| | 1-6/5-3/2-7/4
| 1-6/5-3/2-7/4
| | keenanismic
| keenanismic
|-
|-
| | 31
| 31
| | 0-2-7-12
| 0-2-7-12
| | 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| | utonal
| utonal
|-
|-
| | 32
| 32
| | 0-5-7-12
| 0-5-7-12
| | 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| | ambitonal
| ambitonal
|-
|-
| | 33
| 33
| | 0-1-8-12
| 0-1-8-12
| | 1-5/4-16/11-7/4
| 1-5/4-16/11-7/4
| | keenanismic
| keenanismic
|-
|-
| | 34
| 34
| | 0-4-8-12
| 0-4-8-12
| | 1-6/5-16/11-7/4
| 1-6/5-16/11-7/4
| | supermagic
| supermagic
|-
|-
| | 35
| 35
| | 0-7-8-12
| 0-7-8-12
| | 1-7/6-16/11-7/4
| 1-7/6-16/11-7/4
| | keenanismic
| keenanismic
|-
|-
| | 36
| 36
| | 0-1-10-12
| 0-1-10-12
| | 1-5/4-9/8-7/4
| 1-5/4-9/8-7/4
| | otonal
| otonal
|-
|-
| | 37
| 37
| | 0-2-10-12
| 0-2-10-12
| | 1-14/9-9/8-7/4
| 1-14/9-9/8-7/4
| | pentacircle
| pentacircle
|-
|-
| | 38
| 38
| | 0-5-10-12
| 0-5-10-12
| | 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| | otonal
| otonal
|-
|-
| | 39
| 39
| | 0-8-10-12
| 0-8-10-12
| | 1-16/11-9/8-7/4
| 1-16/11-9/8-7/4
| | sensamagic11
| sensamagic11
|-
|-
| | 40
| 40
| | 0-1-11-12
| 0-1-11-12
| | 1-5/4-7/5-7/4
| 1-5/4-7/5-7/4
| | marvel
| marvel
|-
|-
| | 41
| 41
| | 0-2-11-12
| 0-2-11-12
| | 1-14/9-7/5-7/4
| 1-14/9-7/5-7/4
| | utonal
| utonal
|-
|-
| | 42
| 42
| | 0-4-11-12
| 0-4-11-12
| | 1-6/5-7/5-7/4
| 1-6/5-7/5-7/4
| | keenanismic
| keenanismic
|-
|-
| | 43
| 43
| | 0-7-11-12
| 0-7-11-12
| | 1-7/6-7/5-7/4
| 1-7/6-7/5-7/4
| | utonal
| utonal
|-
|-
| | 44
| 44
| | 0-10-11-12
| 0-10-11-12
| | 1-9/8-7/5-7/4
| 1-9/8-7/5-7/4
| | marvel
| marvel
|-
|-
| | 45
| 45
| | 0-1-2-13
| 0-1-2-13
| | 1-5/4-14/9-12/11
| 1-5/4-14/9-12/11
| | unimarvel
| unimarvel
|-
|-
| | 46
| 46
| | 0-2-4-13
| 0-2-4-13
| | 1-14/9-6/5-12/11
| 1-14/9-6/5-12/11
| | octarod
| octarod
|-
|-
| | 47
| 47
| | 0-1-5-13
| 0-1-5-13
| | 1-5/4-3/2-12/11
| 1-5/4-3/2-12/11
| | keenanismic
| keenanismic
|-
|-
| | 48
| 48
| | 0-4-5-13
| 0-4-5-13
| | 1-6/5-3/2-12/11
| 1-6/5-3/2-12/11
| | utonal
| utonal
|-
|-
| | 49
| 49
| | 0-1-8-13
| 0-1-8-13
| | 1-5/4-16/11-12/11
| 1-5/4-16/11-12/11
| | keenanismic
| keenanismic
|-
|-
| | 50
| 50
| | 0-4-8-13
| 0-4-8-13
| | 1-6/5-16/11-12/11
| 1-6/5-16/11-12/11
| | ptolemismic
| ptolemismic
|-
|-
| | 51
| 51
| | 0-1-9-13
| 0-1-9-13
| | 1-5/4-9/5-12/11
| 1-5/4-9/5-12/11
| | supermagic
| supermagic
|-
|-
| | 52
| 52
| | 0-2-9-13
| 0-2-9-13
| | 1-14/9-9/5-12/11
| 1-14/9-9/5-12/11
| | octarod
| octarod
|-
|-
| | 53
| 53
| | 0-4-9-13
| 0-4-9-13
| | 1-6/5-9/5-12/11
| 1-6/5-9/5-12/11
| | ptolemismic
| ptolemismic
|-
|-
| | 54
| 54
| | 0-5-9-13
| 0-5-9-13
| | 1-3/2-9/5-12/11
| 1-3/2-9/5-12/11
| | ptolemismic
| ptolemismic
|-
|-
| | 55
| 55
| | 0-8-9-13
| 0-8-9-13
| | 1-16/11-20/11-12/11
| 1-16/11-20/11-12/11
| | otonal
| otonal
|-
|-
| | 56
| 56
| | 0-1-11-13
| 0-1-11-13
| | 1-5/4-7/5-12/11
| 1-5/4-7/5-12/11
| | unimarvel
| unimarvel
|-
|-
| | 57
| 57
| | 0-2-11-13
| 0-2-11-13
| | 1-14/9-7/5-12/11
| 1-14/9-7/5-12/11
| | swetismic
| swetismic
|-
|-
| | 58
| 58
| | 0-4-11-13
| 0-4-11-13
| | 1-6/5-7/5-12/11
| 1-6/5-7/5-12/11
| | octarod
| octarod
|-
|-
| | 59
| 59
| | 0-9-11-13
| 0-9-11-13
| | 1-9/5-7/5-12/11
| 1-9/5-7/5-12/11
| | octarod
| octarod
|-
|-
| | 60
| 60
| | 0-1-12-13
| 0-1-12-13
| | 1-5/4-7/4-12/11
| 1-5/4-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 61
| 61
| | 0-2-12-13
| 0-2-12-13
| | 1-14/9-7/4-12/11
| 1-14/9-7/4-12/11
| | unimarvel
| unimarvel
|-
|-
| | 62
| 62
| | 0-4-12-13
| 0-4-12-13
| | 1-6/5-7/4-12/11
| 1-6/5-7/4-12/11
| | supermagic
| supermagic
|-
|-
| | 63
| 63
| | 0-5-12-13
| 0-5-12-13
| | 1-3/2-7/4-12/11
| 1-3/2-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 64
| 64
| | 0-8-12-13
| 0-8-12-13
| | 1-16/11-7/4-12/11
| 1-16/11-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 65
| 65
| | 0-11-12-13
| 0-11-12-13
| | 1-7/5-7/4-12/11
| 1-7/5-7/4-12/11
| | unimarvel
| unimarvel
|-
|-
| | 66
| 66
| | 0-5-7-18
| 0-5-7-18
| | 1-3/2-7/6-18/11
| 1-3/2-7/6-18/11
| | swetismic
| swetismic
|-
|-
| | 67
| 67
| | 0-7-8-18
| 0-7-8-18
| | 1-7/6-16/11-18/11
| 1-7/6-16/11-18/11
| | unimarvel
| unimarvel
|-
|-
| | 68
| 68
| | 0-5-9-18
| 0-5-9-18
| | 1-3/2-9/5-18/11
| 1-3/2-9/5-18/11
| | utonal
| utonal
|-
|-
| | 69
| 69
| | 0-7-9-18
| 0-7-9-18
| | 1-7/6-9/5-18/11
| 1-7/6-9/5-18/11
| | octarod
| octarod
|-
|-
| | 70
| 70
| | 0-8-9-18
| 0-8-9-18
| | 1-16/11-20/11-18/11
| 1-16/11-20/11-18/11
| | otonal
| otonal
|-
|-
| | 71
| 71
| | 0-5-10-18
| 0-5-10-18
| | 1-3/2-9/8-18/11
| 1-3/2-9/8-18/11
| | utonal
| utonal
|-
|-
| | 72
| 72
| | 0-8-10-18
| 0-8-10-18
| | 1-16/11-9/8-18/11
| 1-16/11-9/8-18/11
| | pentacircle
| pentacircle
|-
|-
| | 73
| 73
| | 0-9-10-18
| 0-9-10-18
| | 1-9/5-9/8-18/11
| 1-9/5-9/8-18/11
| | utonal
| utonal
|-
|-
| | 74
| 74
| | 0-7-11-18
| 0-7-11-18
| | 1-7/6-7/5-18/11
| 1-7/6-7/5-18/11
| | swetismic
| swetismic
|-
|-
| | 75
| 75
| | 0-9-11-18
| 0-9-11-18
| | 1-9/5-7/5-18/11
| 1-9/5-7/5-18/11
| | octarod
| octarod
|-
|-
| | 76
| 76
| | 0-10-11-18
| 0-10-11-18
| | 1-9/8-7/5-18/11
| 1-9/8-7/5-18/11
| | unimarvel
| unimarvel
|-
|-
| | 77
| 77
| | 0-5-13-18
| 0-5-13-18
| | 1-3/2-12/11-18/11
| 1-3/2-12/11-18/11
| | ambitonal
| ambitonal
|-
|-
| | 78
| 78
| | 0-8-13-18
| 0-8-13-18
| | 1-16/11-12/11-18/11
| 1-16/11-12/11-18/11
| | otonal
| otonal
|-
|-
| | 79
| 79
| | 0-9-13-18
| 0-9-13-18
| | 1-20/11-12/11-18/11
| 1-20/11-12/11-18/11
| | otonal
| otonal
|-
|-
| | 80
| 80
| | 0-11-13-18
| 0-11-13-18
| | 1-7/5-12/11-18/11
| 1-7/5-12/11-18/11
| | swetismic
| swetismic
|-
|-
| | 81
| 81
| | 0-2-7-20
| 0-2-7-20
| | 1-14/9-7/6-14/11
| 1-14/9-7/6-14/11
| | utonal
| utonal
|-
|-
| | 82
| 82
| | 0-7-8-20
| 0-7-8-20
| | 1-7/6-16/11-14/11
| 1-7/6-16/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 83
| 83
| | 0-2-9-20
| 0-2-9-20
| | 1-14/9-9/5-14/11
| 1-14/9-9/5-14/11
| | octarod
| octarod
|-
|-
| | 84
| 84
| | 0-7-9-20
| 0-7-9-20
| | 1-7/6-9/5-14/11
| 1-7/6-9/5-14/11
| | octarod
| octarod
|-
|-
| | 85
| 85
| | 0-8-9-20
| 0-8-9-20
| | 1-16/11-20/11-14/11
| 1-16/11-20/11-14/11
| | otonal
| otonal
|-
|-
| | 86
| 86
| | 0-2-10-20
| 0-2-10-20
| | 1-14/9-9/8-14/11
| 1-14/9-9/8-14/11
| | pentacircle
| pentacircle
|-
|-
| | 87
| 87
| | 0-8-10-20
| 0-8-10-20
| | 1-16/11-9/8-14/11
| 1-16/11-9/8-14/11
| | pentacircle
| pentacircle
|-
|-
| | 88
| 88
| | 0-9-10-20
| 0-9-10-20
| | 1-9/5-9/8-14/11
| 1-9/5-9/8-14/11
| | apollo
| apollo
|-
|-
| | 89
| 89
| | 0-2-11-20
| 0-2-11-20
| | 1-14/9-7/5-14/11
| 1-14/9-7/5-14/11
| | utonal
| utonal
|-
|-
| | 90
| 90
| | 0-7-11-20
| 0-7-11-20
| | 1-7/6-7/5-14/11
| 1-7/6-7/5-14/11
| | utonal
| utonal
|-
|-
| | 91
| 91
| | 0-9-11-20
| 0-9-11-20
| | 1-9/5-7/5-14/11
| 1-9/5-7/5-14/11
| | ptolemismic
| ptolemismic
|-
|-
| | 92
| 92
| | 0-10-11-20
| 0-10-11-20
| | 1-9/8-7/5-14/11
| 1-9/8-7/5-14/11
| | apollo
| apollo
|-
|-
| | 93
| 93
| | 0-2-12-20
| 0-2-12-20
| | 1-14/9-7/4-14/11
| 1-14/9-7/4-14/11
| | utonal
| utonal
|-
|-
| | 94
| 94
| | 0-7-12-20
| 0-7-12-20
| | 1-7/6-7/4-14/11
| 1-7/6-7/4-14/11
| | utonal
| utonal
|-
|-
| | 95
| 95
| | 0-8-12-20
| 0-8-12-20
| | 1-16/11-7/4-14/11
| 1-16/11-7/4-14/11
| | keenanismic
| keenanismic
|-
|-
| | 96
| 96
| | 0-10-12-20
| 0-10-12-20
| | 1-9/8-7/4-14/11
| 1-9/8-7/4-14/11
| | pentacircle
| pentacircle
|-
|-
| | 97
| 97
| | 0-11-12-20
| 0-11-12-20
| | 1-7/5-7/4-14/11
| 1-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 98
| 98
| | 0-2-13-20
| 0-2-13-20
| | 1-14/9-12/11-14/11
| 1-14/9-12/11-14/11
| | swetismic
| swetismic
|-
|-
| | 99
| 99
| | 0-8-13-20
| 0-8-13-20
| | 1-16/11-12/11-14/11
| 1-16/11-12/11-14/11
| | otonal
| otonal
|-
|-
| | 100
| 100
| | 0-9-13-20
| 0-9-13-20
| | 1-20/11-12/11-14/11
| 1-20/11-12/11-14/11
| | otonal
| otonal
|-
|-
| | 101
| 101
| | 0-11-13-20
| 0-11-13-20
| | 1-7/5-12/11-14/11
| 1-7/5-12/11-14/11
| | octarod
| octarod
|-
|-
| | 102
| 102
| | 0-12-13-20
| 0-12-13-20
| | 1-7/4-12/11-14/11
| 1-7/4-12/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 103
| 103
| | 0-7-18-20
| 0-7-18-20
| | 1-7/6-18/11-14/11
| 1-7/6-18/11-14/11
| | swetismic
| swetismic
|-
|-
| | 104
| 104
| | 0-8-18-20
| 0-8-18-20
| | 1-16/11-18/11-14/11
| 1-16/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 105
| 105
| | 0-9-18-20
| 0-9-18-20
| | 1-20/11-18/11-14/11
| 1-20/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 106
| 106
| | 0-10-18-20
| 0-10-18-20
| | 1-9/8-18/11-14/11
| 1-9/8-18/11-14/11
| | pentacircle
| pentacircle
|-
|-
| | 107
| 107
| | 0-11-18-20
| 0-11-18-20
| | 1-7/5-18/11-14/11
| 1-7/5-18/11-14/11
| | octarod
| octarod
|-
|-
| | 108
| 108
| | 0-13-18-20
| 0-13-18-20
| | 1-12/11-18/11-14/11
| 1-12/11-18/11-14/11
| | otonal
| otonal
|}
|}


=Pentads=
== Pentads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-1-2-9-10
| 0-1-2-9-10
| | 1-5/4-14/9-9/5-9/8
| 1-5/4-14/9-9/5-9/8
| | magic
| magic
|-
|-
| | 2
| 2
| | 0-1-5-9-10
| 0-1-5-9-10
| | 1-5/4-3/2-9/5-9/8
| 1-5/4-3/2-9/5-9/8
| | ptolemismic
| ptolemismic
|-
|-
| | 3
| 3
| | 0-1-8-9-10
| 0-1-8-9-10
| | 1-5/4-16/11-9/5-9/8
| 1-5/4-16/11-9/5-9/8
| | magic
| magic
|-
|-
| | 4
| 4
| | 0-1-2-9-11
| 0-1-2-9-11
| | 1-5/4-14/9-9/5-7/5
| 1-5/4-14/9-9/5-7/5
| | magic
| magic
|-
|-
| | 5
| 5
| | 0-2-4-9-11
| 0-2-4-9-11
| | 1-14/9-6/5-9/5-7/5
| 1-14/9-6/5-9/5-7/5
| | sensamagic
| sensamagic
|-
|-
| | 6
| 6
| | 0-2-7-9-11
| 0-2-7-9-11
| | 1-14/9-7/6-9/5-7/5
| 1-14/9-7/6-9/5-7/5
| | sensamagic
| sensamagic
|-
|-
| | 7
| 7
| | 0-1-2-10-11
| 0-1-2-10-11
| | 1-5/4-14/9-9/8-7/5
| 1-5/4-14/9-9/8-7/5
| | apollo
| apollo
|-
|-
| | 8
| 8
| | 0-1-9-10-11
| 0-1-9-10-11
| | 1-5/4-9/5-9/8-7/5
| 1-5/4-9/5-9/8-7/5
| | apollo
| apollo
|-
|-
| | 9
| 9
| | 0-2-9-10-11
| 0-2-9-10-11
| | 1-14/9-9/5-9/8-7/5
| 1-14/9-9/5-9/8-7/5
| | magic
| magic
|-
|-
| | 10
| 10
| | 0-1-2-10-12
| 0-1-2-10-12
| | 1-5/4-14/9-9/8-7/4
| 1-5/4-14/9-9/8-7/4
| | apollo
| apollo
|-
|-
| | 11
| 11
| | 0-1-5-10-12
| 0-1-5-10-12
| | 1-5/4-3/2-9/8-7/4
| 1-5/4-3/2-9/8-7/4
| | otonal
| otonal
|-
|-
| | 12
| 12
| | 0-1-8-10-12
| 0-1-8-10-12
| | 1-5/4-16/11-9/8-7/4
| 1-5/4-16/11-9/8-7/4
| | sensamagic11
| sensamagic11
|-
|-
| | 13
| 13
| | 0-1-2-11-12
| 0-1-2-11-12
| | 1-5/4-14/9-7/5-7/4
| 1-5/4-14/9-7/5-7/4
| | marvel
| marvel
|-
|-
| | 14
| 14
| | 0-2-4-11-12
| 0-2-4-11-12
| | 1-14/9-6/5-7/5-7/4
| 1-14/9-6/5-7/5-7/4
| | sensamagic11
| sensamagic11
|-
|-
| | 15
| 15
| | 0-2-7-11-12
| 0-2-7-11-12
| | 1-14/9-7/6-7/5-7/4
| 1-14/9-7/6-7/5-7/4
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-1-10-11-12
| 0-1-10-11-12
| | 1-5/4-9/8-7/5-7/4
| 1-5/4-9/8-7/5-7/4
| | marvel
| marvel
|-
|-
| | 17
| 17
| | 0-2-10-11-12
| 0-2-10-11-12
| | 1-14/9-9/8-7/5-7/4
| 1-14/9-9/8-7/5-7/4
| | apollo
| apollo
|-
|-
| | 18
| 18
| | 0-1-2-9-13
| 0-1-2-9-13
| | 1-5/4-14/9-9/5-12/11
| 1-5/4-14/9-9/5-12/11
| | magic
| magic
|-
|-
| | 19
| 19
| | 0-2-4-9-13
| 0-2-4-9-13
| | 1-14/9-6/5-9/5-12/11
| 1-14/9-6/5-9/5-12/11
| | octarod
| octarod
|-
|-
| | 20
| 20
| | 0-1-5-9-13
| 0-1-5-9-13
| | 1-5/4-3/2-9/5-12/11
| 1-5/4-3/2-9/5-12/11
| | supermagic
| supermagic
|-
|-
| | 21
| 21
| | 0-4-5-9-13
| 0-4-5-9-13
| | 1-6/5-3/2-9/5-12/11
| 1-6/5-3/2-9/5-12/11
| | ptolemismic
| ptolemismic
|-
|-
| | 22
| 22
| | 0-1-8-9-13
| 0-1-8-9-13
| | 1-5/4-16/11-9/5-12/11
| 1-5/4-16/11-9/5-12/11
| | supermagic
| supermagic
|-
|-
| | 23
| 23
| | 0-4-8-9-13
| 0-4-8-9-13
| | 1-6/5-16/11-9/5-12/11
| 1-6/5-16/11-9/5-12/11
| | ptolemismic
| ptolemismic
|-
|-
| | 24
| 24
| | 0-1-2-11-13
| 0-1-2-11-13
| | 1-5/4-14/9-7/5-12/11
| 1-5/4-14/9-7/5-12/11
| | unimarvel
| unimarvel
|-
|-
| | 25
| 25
| | 0-2-4-11-13
| 0-2-4-11-13
| | 1-14/9-6/5-7/5-12/11
| 1-14/9-6/5-7/5-12/11
| | octarod
| octarod
|-
|-
| | 26
| 26
| | 0-1-9-11-13
| 0-1-9-11-13
| | 1-5/4-9/5-7/5-12/11
| 1-5/4-9/5-7/5-12/11
| | magic
| magic
|-
|-
| | 27
| 27
| | 0-2-9-11-13
| 0-2-9-11-13
| | 1-14/9-9/5-7/5-12/11
| 1-14/9-9/5-7/5-12/11
| | octarod
| octarod
|-
|-
| | 28
| 28
| | 0-4-9-11-13
| 0-4-9-11-13
| | 1-6/5-9/5-7/5-12/11
| 1-6/5-9/5-7/5-12/11
| | octarod
| octarod
|-
|-
| | 29
| 29
| | 0-1-2-12-13
| 0-1-2-12-13
| | 1-5/4-14/9-7/4-12/11
| 1-5/4-14/9-7/4-12/11
| | unimarvel
| unimarvel
|-
|-
| | 30
| 30
| | 0-2-4-12-13
| 0-2-4-12-13
| | 1-14/9-6/5-7/4-12/11
| 1-14/9-6/5-7/4-12/11
| | magic
| magic
|-
|-
| | 31
| 31
| | 0-1-5-12-13
| 0-1-5-12-13
| | 1-5/4-3/2-7/4-12/11
| 1-5/4-3/2-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 32
| 32
| | 0-4-5-12-13
| 0-4-5-12-13
| | 1-6/5-3/2-7/4-12/11
| 1-6/5-3/2-7/4-12/11
| | supermagic
| supermagic
|-
|-
| | 33
| 33
| | 0-1-8-12-13
| 0-1-8-12-13
| | 1-5/4-16/11-7/4-12/11
| 1-5/4-16/11-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 34
| 34
| | 0-4-8-12-13
| 0-4-8-12-13
| | 1-6/5-16/11-7/4-12/11
| 1-6/5-16/11-7/4-12/11
| | supermagic
| supermagic
|-
|-
| | 35
| 35
| | 0-1-11-12-13
| 0-1-11-12-13
| | 1-5/4-7/5-7/4-12/11
| 1-5/4-7/5-7/4-12/11
| | unimarvel
| unimarvel
|-
|-
| | 36
| 36
| | 0-2-11-12-13
| 0-2-11-12-13
| | 1-14/9-7/5-7/4-12/11
| 1-14/9-7/5-7/4-12/11
| | unimarvel
| unimarvel
|-
|-
| | 37
| 37
| | 0-4-11-12-13
| 0-4-11-12-13
| | 1-6/5-7/5-7/4-12/11
| 1-6/5-7/5-7/4-12/11
| | magic
| magic
|-
|-
| | 38
| 38
| | 0-5-7-9-18
| 0-5-7-9-18
| | 1-3/2-7/6-9/5-18/11
| 1-3/2-7/6-9/5-18/11
| | octarod
| octarod
|-
|-
| | 39
| 39
| | 0-7-8-9-18
| 0-7-8-9-18
| | 1-7/6-16/11-9/5-18/11
| 1-7/6-16/11-9/5-18/11
| | magic
| magic
|-
|-
| | 40
| 40
| | 0-5-9-10-18
| 0-5-9-10-18
| | 1-3/2-9/5-9/8-18/11
| 1-3/2-9/5-9/8-18/11
| | utonal
| utonal
|-
|-
| | 41
| 41
| | 0-8-9-10-18
| 0-8-9-10-18
| | 1-16/11-9/5-9/8-18/11
| 1-16/11-9/5-9/8-18/11
| | apollo
| apollo
|-
|-
| | 42
| 42
| | 0-7-9-11-18
| 0-7-9-11-18
| | 1-7/6-9/5-7/5-18/11
| 1-7/6-9/5-7/5-18/11
| | octarod
| octarod
|-
|-
| | 43
| 43
| | 0-9-10-11-18
| 0-9-10-11-18
| | 1-9/5-9/8-7/5-18/11
| 1-9/5-9/8-7/5-18/11
| | magic
| magic
|-
|-
| | 44
| 44
| | 0-5-9-13-18
| 0-5-9-13-18
| | 1-3/2-9/5-12/11-18/11
| 1-3/2-9/5-12/11-18/11
| | ptolemismic
| ptolemismic
|-
|-
| | 45
| 45
| | 0-8-9-13-18
| 0-8-9-13-18
| | 1-16/11-20/11-12/11-18/11
| 1-16/11-20/11-12/11-18/11
| | otonal
| otonal
|-
|-
| | 46
| 46
| | 0-9-11-13-18
| 0-9-11-13-18
| | 1-9/5-7/5-12/11-18/11
| 1-9/5-7/5-12/11-18/11
| | octarod
| octarod
|-
|-
| | 47
| 47
| | 0-2-7-9-20
| 0-2-7-9-20
| | 1-14/9-7/6-9/5-14/11
| 1-14/9-7/6-9/5-14/11
| | octarod
| octarod
|-
|-
| | 48
| 48
| | 0-7-8-9-20
| 0-7-8-9-20
| | 1-7/6-16/11-9/5-14/11
| 1-7/6-16/11-9/5-14/11
| | magic
| magic
|-
|-
| | 49
| 49
| | 0-2-9-10-20
| 0-2-9-10-20
| | 1-14/9-9/5-9/8-14/11
| 1-14/9-9/5-9/8-14/11
| | magic
| magic
|-
|-
| | 50
| 50
| | 0-8-9-10-20
| 0-8-9-10-20
| | 1-16/11-9/5-9/8-14/11
| 1-16/11-9/5-9/8-14/11
| | apollo
| apollo
|-
|-
| | 51
| 51
| | 0-2-7-11-20
| 0-2-7-11-20
| | 1-14/9-7/6-7/5-14/11
| 1-14/9-7/6-7/5-14/11
| | utonal
| utonal
|-
|-
| | 52
| 52
| | 0-2-9-11-20
| 0-2-9-11-20
| | 1-14/9-9/5-7/5-14/11
| 1-14/9-9/5-7/5-14/11
| | octarod
| octarod
|-
|-
| | 53
| 53
| | 0-7-9-11-20
| 0-7-9-11-20
| | 1-7/6-9/5-7/5-14/11
| 1-7/6-9/5-7/5-14/11
| | octarod
| octarod
|-
|-
| | 54
| 54
| | 0-2-10-11-20
| 0-2-10-11-20
| | 1-14/9-9/8-7/5-14/11
| 1-14/9-9/8-7/5-14/11
| | apollo
| apollo
|-
|-
| | 55
| 55
| | 0-9-10-11-20
| 0-9-10-11-20
| | 1-9/5-9/8-7/5-14/11
| 1-9/5-9/8-7/5-14/11
| | apollo
| apollo
|-
|-
| | 56
| 56
| | 0-2-7-12-20
| 0-2-7-12-20
| | 1-14/9-7/6-7/4-14/11
| 1-14/9-7/6-7/4-14/11
| | utonal
| utonal
|-
|-
| | 57
| 57
| | 0-7-8-12-20
| 0-7-8-12-20
| | 1-7/6-16/11-7/4-14/11
| 1-7/6-16/11-7/4-14/11
| | keenanismic
| keenanismic
|-
|-
| | 58
| 58
| | 0-2-10-12-20
| 0-2-10-12-20
| | 1-14/9-9/8-7/4-14/11
| 1-14/9-9/8-7/4-14/11
| | pentacircle
| pentacircle
|-
|-
| | 59
| 59
| | 0-8-10-12-20
| 0-8-10-12-20
| | 1-16/11-9/8-7/4-14/11
| 1-16/11-9/8-7/4-14/11
| | sensamagic11
| sensamagic11
|-
|-
| | 60
| 60
| | 0-2-11-12-20
| 0-2-11-12-20
| | 1-14/9-7/5-7/4-14/11
| 1-14/9-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 61
| 61
| | 0-7-11-12-20
| 0-7-11-12-20
| | 1-7/6-7/5-7/4-14/11
| 1-7/6-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 62
| 62
| | 0-10-11-12-20
| 0-10-11-12-20
| | 1-9/8-7/5-7/4-14/11
| 1-9/8-7/5-7/4-14/11
| | apollo
| apollo
|-
|-
| | 63
| 63
| | 0-2-9-13-20
| 0-2-9-13-20
| | 1-14/9-9/5-12/11-14/11
| 1-14/9-9/5-12/11-14/11
| | octarod
| octarod
|-
|-
| | 64
| 64
| | 0-8-9-13-20
| 0-8-9-13-20
| | 1-16/11-20/11-12/11-14/11
| 1-16/11-20/11-12/11-14/11
| | otonal
| otonal
|-
|-
| | 65
| 65
| | 0-2-11-13-20
| 0-2-11-13-20
| | 1-14/9-7/5-12/11-14/11
| 1-14/9-7/5-12/11-14/11
| | octarod
| octarod
|-
|-
| | 66
| 66
| | 0-9-11-13-20
| 0-9-11-13-20
| | 1-9/5-7/5-12/11-14/11
| 1-9/5-7/5-12/11-14/11
| | octarod
| octarod
|-
|-
| | 67
| 67
| | 0-2-12-13-20
| 0-2-12-13-20
| | 1-14/9-7/4-12/11-14/11
| 1-14/9-7/4-12/11-14/11
| | unimarvel
| unimarvel
|-
|-
| | 68
| 68
| | 0-8-12-13-20
| 0-8-12-13-20
| | 1-16/11-7/4-12/11-14/11
| 1-16/11-7/4-12/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 69
| 69
| | 0-11-12-13-20
| 0-11-12-13-20
| | 1-7/5-7/4-12/11-14/11
| 1-7/5-7/4-12/11-14/11
| | magic
| magic
|-
|-
| | 70
| 70
| | 0-7-8-18-20
| 0-7-8-18-20
| | 1-7/6-16/11-18/11-14/11
| 1-7/6-16/11-18/11-14/11
| | unimarvel
| unimarvel
|-
|-
| | 71
| 71
| | 0-7-9-18-20
| 0-7-9-18-20
| | 1-7/6-9/5-18/11-14/11
| 1-7/6-9/5-18/11-14/11
| | octarod
| octarod
|-
|-
| | 72
| 72
| | 0-8-9-18-20
| 0-8-9-18-20
| | 1-16/11-20/11-18/11-14/11
| 1-16/11-20/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 73
| 73
| | 0-8-10-18-20
| 0-8-10-18-20
| | 1-16/11-9/8-18/11-14/11
| 1-16/11-9/8-18/11-14/11
| | pentacircle
| pentacircle
|-
|-
| | 74
| 74
| | 0-9-10-18-20
| 0-9-10-18-20
| | 1-9/5-9/8-18/11-14/11
| 1-9/5-9/8-18/11-14/11
| | apollo
| apollo
|-
|-
| | 75
| 75
| | 0-7-11-18-20
| 0-7-11-18-20
| | 1-7/6-7/5-18/11-14/11
| 1-7/6-7/5-18/11-14/11
| | octarod
| octarod
|-
|-
| | 76
| 76
| | 0-9-11-18-20
| 0-9-11-18-20
| | 1-9/5-7/5-18/11-14/11
| 1-9/5-7/5-18/11-14/11
| | octarod
| octarod
|-
|-
| | 77
| 77
| | 0-10-11-18-20
| 0-10-11-18-20
| | 1-9/8-7/5-18/11-14/11
| 1-9/8-7/5-18/11-14/11
| | magic
| magic
|-
|-
| | 78
| 78
| | 0-8-13-18-20
| 0-8-13-18-20
| | 1-16/11-12/11-18/11-14/11
| 1-16/11-12/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 79
| 79
| | 0-9-13-18-20
| 0-9-13-18-20
| | 1-20/11-12/11-18/11-14/11
| 1-20/11-12/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 80
| 80
| | 0-11-13-18-20
| 0-11-13-18-20
| | 1-7/5-12/11-18/11-14/11
| 1-7/5-12/11-18/11-14/11
| | octarod
| octarod
|}
|}


=Hexads=
== Hexads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-1-2-9-10-11
| 0-1-2-9-10-11
| | 1-5/4-14/9-9/5-9/8-7/5
| 1-5/4-14/9-9/5-9/8-7/5
| | magic
| magic
|-
|-
| | 2
| 2
| | 0-1-2-10-11-12
| 0-1-2-10-11-12
| | 1-5/4-14/9-9/8-7/5-7/4
| 1-5/4-14/9-9/8-7/5-7/4
| | apollo
| apollo
|-
|-
| | 3
| 3
| | 0-1-2-9-11-13
| 0-1-2-9-11-13
| | 1-5/4-14/9-9/5-7/5-12/11
| 1-5/4-14/9-9/5-7/5-12/11
| | magic
| magic
|-
|-
| | 4
| 4
| | 0-2-4-9-11-13
| 0-2-4-9-11-13
| | 1-14/9-6/5-9/5-7/5-12/11
| 1-14/9-6/5-9/5-7/5-12/11
| | octarod
| octarod
|-
|-
| | 5
| 5
| | 0-1-2-11-12-13
| 0-1-2-11-12-13
| | 1-5/4-14/9-7/5-7/4-12/11
| 1-5/4-14/9-7/5-7/4-12/11
| | unimarvel
| unimarvel
|-
|-
| | 6
| 6
| | 0-2-4-11-12-13
| 0-2-4-11-12-13
| | 1-14/9-6/5-7/5-7/4-12/11
| 1-14/9-6/5-7/5-7/4-12/11
| | magic
| magic
|-
|-
| | 7
| 7
| | 0-2-7-9-11-20
| 0-2-7-9-11-20
| | 1-14/9-7/6-9/5-7/5-14/11
| 1-14/9-7/6-9/5-7/5-14/11
| | octarod
| octarod
|-
|-
| | 8
| 8
| | 0-2-9-10-11-20
| 0-2-9-10-11-20
| | 1-14/9-9/5-9/8-7/5-14/11
| 1-14/9-9/5-9/8-7/5-14/11
| | magic
| magic
|-
|-
| | 9
| 9
| | 0-2-7-11-12-20
| 0-2-7-11-12-20
| | 1-14/9-7/6-7/5-7/4-14/11
| 1-14/9-7/6-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 10
| 10
| | 0-2-10-11-12-20
| 0-2-10-11-12-20
| | 1-14/9-9/8-7/5-7/4-14/11
| 1-14/9-9/8-7/5-7/4-14/11
| | apollo
| apollo
|-
|-
| | 11
| 11
| | 0-2-9-11-13-20
| 0-2-9-11-13-20
| | 1-14/9-9/5-7/5-12/11-14/11
| 1-14/9-9/5-7/5-12/11-14/11
| | octarod
| octarod
|-
|-
| | 12
| 12
| | 0-2-11-12-13-20
| 0-2-11-12-13-20
| | 1-14/9-7/5-7/4-12/11-14/11
| 1-14/9-7/5-7/4-12/11-14/11
| | magic
| magic
|-
|-
| | 13
| 13
| | 0-7-8-9-18-20
| 0-7-8-9-18-20
| | 1-7/6-16/11-9/5-18/11-14/11
| 1-7/6-16/11-9/5-18/11-14/11
| | magic
| magic
|-
|-
| | 14
| 14
| | 0-8-9-10-18-20
| 0-8-9-10-18-20
| | 1-16/11-9/5-9/8-18/11-14/11
| 1-16/11-9/5-9/8-18/11-14/11
| | apollo
| apollo
|-
|-
| | 15
| 15
| | 0-7-9-11-18-20
| 0-7-9-11-18-20
| | 1-7/6-9/5-7/5-18/11-14/11
| 1-7/6-9/5-7/5-18/11-14/11
| | octarod
| octarod
|-
|-
| | 16
| 16
| | 0-9-10-11-18-20
| 0-9-10-11-18-20
| | 1-9/5-9/8-7/5-18/11-14/11
| 1-9/5-9/8-7/5-18/11-14/11
| | magic
| magic
|-
|-
| | 17
| 17
| | 0-8-9-13-18-20
| 0-8-9-13-18-20
| | 1-16/11-20/11-12/11-18/11-14/11
| 1-16/11-20/11-12/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 18
| 18
| | 0-9-11-13-18-20
| 0-9-11-13-18-20
| | 1-9/5-7/5-12/11-18/11-14/11
| 1-9/5-7/5-12/11-18/11-14/11
| | octarod
| octarod
|}
|}
[[Category:Chords]]
[[Category:Triad]]
[[Category:Tetrad]]
[[Category:Pentad]]
[[Category:Hexad]]
[[Category:Magic]]