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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. <span style="background-color: #ffffff;">Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. 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.</span> If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 100/99 [[Ptolemismic triad|Ptolemismic]], by 121/120 biyatismic, 176/175 [[Valinorsmic chords|Valinorsmic]], and by 385/384 [[Keenanismic chords|Keenanismic]]. Chords that require 64/63 and 176/175 tempering are marked ares, 100/99 and 385/384 tempered chords are supermagic, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.
Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. 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 a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only [[64/63]] tempering are marked archytas, by [[100/99]] [[Ptolemismic triad|ptolemismic]], by [[121/120]] [[Biyatismic chords|biyatismic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], and by [[385/384]] [[Keenanismic chords|keenanismic]]. Chords that require 64/63 and 176/175 tempering are marked ares, 100/99 and 385/384 tempered chords are supermagic, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.


The transversal is in generator order. This is useful because it tells how common the chords are: For instance, a chord that appears on the sixth generation will appear exactly once in porcupine[7], twice in porcupine[8], and nine times in porcupine[15].
The transversal is in generator order. This is useful because it tells how common the chords are: For instance, a chord that appears on the sixth generation will appear exactly once in porcupine[7], twice in porcupine[8], and nine times in porcupine[15].
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Though we're used to thinking of 4:5:6 as the definitive "major chord", with all inversions coming from that, there is nothing definitive about calling these lists below "chord" or "inversion". That's just the way the generators came out.  
Though we're used to thinking of 4:5:6 as the definitive "major chord", with all inversions coming from that, there is nothing definitive about calling these lists below "chord" or "inversion". That's just the way the generators came out.  


=Triads=
== Triads ==


{| class="wikitable"
{| class="wikitable"
|-
|-
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
| | As generated
! As generated
| | 1st Inversion
! 1st Inversion
| | 2nd Inversion
! 2nd Inversion
|-
|-
| | 0-1-2
| 0-1-2
| | 1-11/10-6/5
| 1-11/10-6/5
| | otonal
| otonal
| | 1/1-11/10-6/5
| 1/1-11/10-6/5
| | 1/1-12/11-20/11
| 1/1-12/11-20/11
| | 1/1-5/3-11/6
| 1/1-5/3-11/6
|-
|-
| | 0-1-3
| 0-1-3
| | 1-10/9-4/3
| 1-10/9-4/3
| | otonal
| otonal
| | 1/1-10/9-4/3
| 1/1-10/9-4/3
| | 1/1-6/5-9/5
| 1/1-6/5-9/5
| | 1/1-3/2-5/3
| 1/1-3/2-5/3
|-
|-
| | 0-2-3
| 0-2-3
| | 1-11/9-4/3
| 1-11/9-4/3
| | otonal
| otonal
| | 1/1-11/9-4/3
| 1/1-11/9-4/3
| | 1/1-12/11-18/11
| 1/1-12/11-18/11
| | 1/1-3/2-11/6
| 1/1-3/2-11/6
|-
|-
| | 0-1-4
| 0-1-4
| | 1-12/11-16/11
| 1-12/11-16/11
| | otonal
| otonal
| | 1/1-12/11-16/11
| 1/1-12/11-16/11
| | 1/1-4/3-11/6
| 1/1-4/3-11/6
| | 1/1-11/8-3/2
| 1/1-11/8-3/2
|-
|-
| | 0-2-4
| 0-2-4
| | 1-6/5-22/15
| 1-6/5-22/15
| | otonal
| otonal
| | 1/1-6/5-22/15
| 1/1-6/5-22/15
| | 1/1-11/9-5/3
| 1/1-11/9-5/3
| | 1/1-15/11-18/11
| 1/1-15/11-18/11
|-
|-
| | 0-3-4
| 0-3-4
| | 1-4/3-22/15
| 1-4/3-22/15
| | otonal
| otonal
| | 1/1-4/3-22/15
| 1/1-4/3-22/15
| | 1/1-11/10-3/2
| 1/1-11/10-3/2
| | 1/1-15/11-20/11
| 1/1-15/11-20/11
|-
|-
| | 0-1-5
| 0-1-5
| | 1-11/10-8/5
| 1-11/10-8/5
| | otonal
| otonal
| | 1/1-11/10-8/5
| 1/1-11/10-8/5
| | 1/1-16/11-20/11
| 1/1-16/11-20/11
| | 1/1-5/4-11/8
| 1/1-5/4-11/8
|-
|-
| | 0-2-5
| 0-2-5
| | 1-6/5-8/5
| 1-6/5-8/5
| | otonal
| otonal
| | 1/1-6/5-8/5
| 1/1-6/5-8/5
| | 1/1-4/3-5/3
| 1/1-4/3-5/3
| | 1/1-5/4-3/2
| 1/1-5/4-3/2
|-
|-
| | 0-3-5
| 0-3-5
| | 1-4/3-8/5
| 1-4/3-8/5
| | utonal
| utonal
| | 1/1-4/3-8/5
| 1/1-4/3-8/5
| | 1/1-6/5-3/2
| 1/1-6/5-3/2
| | 1/1-5/4-5/3
| 1/1-5/4-5/3
|-
|-
| | 0-4-5
| 0-4-5
| | 1-22/15-8/5
| 1-22/15-8/5
| | otonal
| otonal
| | 1/1-22/15-8/5
| 1/1-22/15-8/5
| | 1/1-12/11-15/11
| 1/1-12/11-15/11
| | 1/1-5/4-11/6
| 1/1-5/4-11/6
|-
|-
| | 0-1-6
| 0-1-6
| | 1-10/9-16/9
| 1-10/9-16/9
| | otonal
| otonal
| | 1/1-10/9-16/9
| 1/1-10/9-16/9
| | 1/1-8/5-9/5
| 1/1-8/5-9/5
| | 1/1-9/8-5/4
| 1/1-9/8-5/4
|-
|-
| | 0-2-6
| 0-2-6
| | 1-11/9-16/9
| 1-11/9-16/9
| | otonal
| otonal
| | 1/1-11/9-16/9
| 1/1-11/9-16/9
| | 1/1-16/11-18/11
| 1/1-16/11-18/11
| | 1/1-9/8-11/8
| 1/1-9/8-11/8
|-
|-
| | 0-3-6
| 0-3-6
| | 1-4/3-16/9
| 1-4/3-16/9
| | ambitonal
| ambitonal
| | 1/1-4/3-16/9
| 1/1-4/3-16/9
| | 1/1-4/3-3/2
| 1/1-4/3-3/2
| | 1/1-9/8-3/2
| 1/1-9/8-3/2
|-
|-
| | 0-4-6
| 0-4-6
| | 1-16/11-16/9
| 1-16/11-16/9
| | utonal
| utonal
| | 1/1-16/11-16/9
| 1/1-16/11-16/9
| | 1/1-11/9-11/8
| 1/1-11/9-11/8
| | 1/1-9/8-18/11
| 1/1-9/8-18/11
|-
|-
| | 0-5-6
| 0-5-6
| | 1-8/5-16/9
| 1-8/5-16/9
| | utonal
| utonal
| | 1/1-8/5-16/9
| 1/1-8/5-16/9
| | 1/1-10/9-5/4
| 1/1-10/9-5/4
| | 1/1-9/8-9/5
| 1/1-9/8-9/5
|-
|-
| | 0-2-8
| 0-2-8
| | 1-6/5-16/15
| 1-6/5-16/15
| | otonal
| otonal
| | 1/1-16/15-6/5
| 1/1-16/15-6/5
| | 1/1-9/8-15/8
| 1/1-9/8-15/8
| | 1/1-5/3-16/9
| 1/1-5/3-16/9
|-
|-
| | 0-3-8
| 0-3-8
| | 1-4/3-16/15
| 1-4/3-16/15
| | ambitonal
| ambitonal
| | 1/1-16/15-4/3
| 1/1-16/15-4/3
| | 1/1-5/4-15/8
| 1/1-5/4-15/8
| | 1/1-3/2-8/5
| 1/1-3/2-8/5
|-
|-
| | 0-4-8
| 0-4-8
| | 1-22/15-16/15
| 1-22/15-16/15
| | otonal
| otonal
| | 1/1-16/15-22/15
| 1/1-16/15-22/15
| | 1/1-11/8-15/8
| 1/1-11/8-15/8
| | 1/1-15/11-16/11
| 1/1-15/11-16/11
|-
|-
| | 0-5-8
| 0-5-8
| | 1-8/5-16/15
| 1-8/5-16/15
| | ambitonal
| ambitonal
| | 1/1-16/15-8/5
| 1/1-16/15-8/5
| | 1/1-3/2-15/8
| 1/1-3/2-15/8
| | 1/1-5/4-4/3
| 1/1-5/4-4/3
|-
|-
| | 0-6-8
| 0-6-8
| | 1-16/9-16/15
| 1-16/9-16/15
| | utonal
| utonal
| | 1/1-16/15-16/9
| 1/1-16/15-16/9
| | 1/1-5/3-15/8
| 1/1-5/3-15/8
| | 1/1-9/8-6/5
| 1/1-9/8-6/5
|-
|-
| | 0-1-9
| 0-1-9
| | 1-11/10-7/6
| 1-11/10-7/6
| | valinorsmic
| valinorsmic
| | 1/1-11/10-7/6
| 1/1-11/10-7/6
| | 1/1-16/15-20/11
| 1/1-16/15-20/11
| | 1/1-12/7-15/8
| 1/1-12/7-15/8
|-
|-
| | 0-3-9
| 0-3-9
| | 1-4/3-7/6
| 1-4/3-7/6
| | otonal
| otonal
| | 1/1-7/6-4/3
| 1/1-7/6-4/3
| | 1/1-8/7-12/7
| 1/1-8/7-12/7
| | 1/1-3/2-7/4
| 1/1-3/2-7/4
|-
|-
| | 0-4-9
| 0-4-9
| | 1-16/11-7/6
| 1-16/11-7/6
| | keenanismic
| keenanismic
| | 1/1-7/6-16/11
| 1/1-7/6-16/11
| | 1/1-5/4-12/7
| 1/1-5/4-12/7
| | 1/1-11/8-8/5
| 1/1-11/8-8/5
|-
|-
| | 0-5-9
| 0-5-9
| | 1-8/5-7/6
| 1-8/5-7/6
| | keenanismic
| keenanismic
| | 1/1-7/6-8/5
| 1/1-7/6-8/5
| | 1/1-11/8-12/7
| 1/1-11/8-12/7
| | 1/1-5/4-16/11
| 1/1-5/4-16/11
|-
|-
| | 0-6-9
| 0-6-9
| | 1-7/4-7/6
| 1-7/4-7/6
| | utonal
| utonal
| | 1/1-7/6-7/4
| 1/1-7/6-7/4
| | 1/1-3/2-12/7
| 1/1-3/2-12/7
| | 1/1-8/7-4/3
| 1/1-8/7-4/3
|-
|-
| | 0-8-9
| 0-8-9
| | 1-16/15-7/6
| 1-16/15-7/6
| | valinorsmic
| valinorsmic
| | 1/1-16/15-7/6
| 1/1-16/15-7/6
| | 1/1-11/10-15/8
| 1/1-11/10-15/8
| | 1/1-12/7-20/11
| 1/1-12/7-20/11
|-
|-
| | 0-1-10
| 0-1-10
| | 1-12/11-14/11
| 1-12/11-14/11
| | otonal
| otonal
| | 1/1-12/11-14/11
| 1/1-12/11-14/11
| | 1/1-7/6-11/6
| 1/1-7/6-11/6
| | 1/1-11/7-12/7
| 1/1-11/7-12/7
|-
|-
| | 0-2-10
| 0-2-10
| | 1-6/5-14/11
| 1-6/5-14/11
| | valinorsmic
| valinorsmic
| | 1/1-6/5-14/11
| 1/1-6/5-14/11
| | 1/1-16/15-5/3
| 1/1-16/15-5/3
| | 1/1-11/7-15/8
| 1/1-11/7-15/8
|-
|-
| | 0-4-10
| 0-4-10
| | 1-16/11-14/11
| 1-16/11-14/11
| | otonal
| otonal
| | 1/1-14/11-16/11
| 1/1-14/11-16/11
| | 1/1-8/7-11/7
| 1/1-8/7-11/7
| | 1/1-11/8-7/4
| 1/1-11/8-7/4
|-
|-
| | 0-5-10
| 0-5-10
| | 1-8/5-14/11
| 1-8/5-14/11
| | valinorsmic
| valinorsmic
| | 1/1-14/11-8/5
| 1/1-14/11-8/5
| | 1/1-5/4-11/7
| 1/1-5/4-11/7
| | 1/1-5/4-8/5
| 1/1-5/4-8/5
|-
|-
| | 0-6-10
| 0-6-10
| | 1-7/4-14/11
| 1-7/4-14/11
| | utonal
| utonal
| | 1/1-14/11-7/4
| 1/1-14/11-7/4
| | 1/1-11/8-11/7
| 1/1-11/8-11/7
| | 1/1-8/7-16/11
| 1/1-8/7-16/11
|-
|-
| | 0-8-10
| 0-8-10
| | 1-16/15-14/11
| 1-16/15-14/11
| | valinorsmic
| valinorsmic
| | 1/1-16/15-14/11
| 1/1-16/15-14/11
| | 1/1-6/5-15/8
| 1/1-6/5-15/8
| | 1/1-11/7-5/3
| 1/1-11/7-5/3
|-
|-
| | 0-9-10
| 0-9-10
| | 1-7/6-14/11
| 1-7/6-14/11
| | utonal
| utonal
| | 1/1-7/6-14/11
| 1/1-7/6-14/11
| | 1/1-12/11-12/7
| 1/1-12/11-12/7
| | 1/1-11/7-11/6
| 1/1-11/7-11/6
|-
|-
| | 0-1-11
| 0-1-11
| | 1-11/10-7/5
| 1-11/10-7/5
| | otonal
| otonal
| | 1/1-11/10-7/5
| 1/1-11/10-7/5
| | 1/1-14/11-20/11
| 1/1-14/11-20/11
| | 1/1-10/7-11/7
| 1/1-10/7-11/7
|-
|-
| | 0-2-11
| 0-2-11
| | 1-6/5-7/5
| 1-6/5-7/5
| | otonal
| otonal
| | 1/1-6/5-7/5
| 1/1-6/5-7/5
| | 1/1-7/6-5/3
| 1/1-7/6-5/3
| | 1/1-10/7-12/7
| 1/1-10/7-12/7
|-
|-
| | 0-3-11
| 0-3-11
| | 1-4/3-7/5
| 1-4/3-7/5
| | archytas
| archytas
| | 1/1-4/3-7/5
| 1/1-4/3-7/5
| | 1/1-16/15-3/2
| 1/1-16/15-3/2
| | 1/1-10/7-15/8
| 1/1-10/7-15/8
|-
|-
| | 0-5-11
| 0-5-11
| | 1-8/5-7/5
| 1-8/5-7/5
| | otonal
| otonal
| | 1/1-7/5-8/5
| 1/1-7/5-8/5
| | 1/1-8/7-10/7
| 1/1-8/7-10/7
| | 1/1-5/4-7/4
| 1/1-5/4-7/4
|-
|-
| | 0-6-11
| 0-6-11
| | 1-7/4-7/5
| 1-7/4-7/5
| | utonal
| utonal
| | 1/1-7/5-7/4
| 1/1-7/5-7/4
| | 1/1-5/4-10/7
| 1/1-5/4-10/7
| | 1/1-8/7-8/5
| 1/1-8/7-8/5
|-
|-
| | 0-8-11
| 0-8-11
| | 1-16/15-7/5
| 1-16/15-7/5
| | archytas
| archytas
| | 1/1-16/15-7/5
| 1/1-16/15-7/5
| | 1/1-4/3-15/8
| 1/1-4/3-15/8
| | 1/1-10/7-3/2
| 1/1-10/7-3/2
|-
|-
| | 0-9-11
| 0-9-11
| | 1-7/6-7/5
| 1-7/6-7/5
| | utonal
| utonal
| | 1/1-7/6-7/5
| 1/1-7/6-7/5
| | 1/1-6/5-12/7
| 1/1-6/5-12/7
| | 1/1-10/7-5/3
| 1/1-10/7-5/3
|-
|-
| | 0-10-11
| 0-10-11
| | 1-14/11-7/5
| 1-14/11-7/5
| | utonal
| utonal
| | 1/1-14/11-7/5
| 1/1-14/11-7/5
| | 1/1-11/10-11/7
| 1/1-11/10-11/7
| | 1/1-10/7-20/11
| 1/1-10/7-20/11
|-
|-
| | 0-1-12
| 0-1-12
| | 1-10/9-14/9
| 1-10/9-14/9
| | otonal
| otonal
| | 1/1-10/9-14/9
| 1/1-10/9-14/9
| | 1/1-7/5-9/5
| 1/1-7/5-9/5
| | 1/1-9/7-10/7
| 1/1-9/7-10/7
|-
|-
| | 0-2-12
| 0-2-12
| | 1-11/9-14/9
| 1-11/9-14/9
| | otonal
| otonal
| | 1/1-11/9-14/9
| 1/1-11/9-14/9
| | 1/1-14/11-18/11
| 1/1-14/11-18/11
| | 1/1-9/7-11/7
| 1/1-9/7-11/7
|-
|-
| | 0-3-12
| 0-3-12
| | 1-4/3-14/9
| 1-4/3-14/9
| | otonal
| otonal
| | 1/1-4/3-14/9
| 1/1-4/3-14/9
| | 1/1-7/6-3/2
| 1/1-7/6-3/2
| | 1/1-9/7-12/7
| 1/1-9/7-12/7
|-
|-
| | 0-4-12
| 0-4-12
| | 1-16/11-14/9
| 1-16/11-14/9
| | keenanismic
| keenanismic
| | 1/1-16/11-14/9
| 1/1-16/11-14/9
| | 1/1-16/15-11/8
| 1/1-16/15-11/8
| | 1/1-9/7-15/8
| 1/1-9/7-15/8
|-
|-
| | 0-6-12
| 0-6-12
| | 1-16/9-14/9
| 1-16/9-14/9
| | otonal
| otonal
| | 1/1-14/9-16/9
| 1/1-14/9-16/9
| | 1/1-8/7-9/7
| 1/1-8/7-9/7
| | 1/1-9/8-7/4
| 1/1-9/8-7/4
|-
|-
| | 0-8-12
| 0-8-12
| | 1-16/15-14/9
| 1-16/15-14/9
| | keenanismic
| keenanismic
| | 1/1-16/15-14/9
| 1/1-16/15-14/9
| | 1/1-16/11-15/8
| 1/1-16/11-15/8
| | 1/1-9/7-11/8
| 1/1-9/7-11/8
|-
|-
| | 0-9-12
| 0-9-12
| | 1-7/6-14/9
| 1-7/6-14/9
| | utonal
| utonal
| | 1/1-7/6-14/9
| 1/1-7/6-14/9
| | 1/1-4/3-12/7
| 1/1-4/3-12/7
| | 1/1-9/7-3/2
| 1/1-9/7-3/2
|-
|-
| | 0-10-12
| 0-10-12
| | 1-14/11-14/9
| 1-14/11-14/9
| | utonal
| utonal
| | 1/1-14/11-14/9
| 1/1-14/11-14/9
| | 1/1-11/9-11/7
| 1/1-11/9-11/7
| | 1/1-9/7-18/11
| 1/1-9/7-18/11
|-
|-
| | 0-11-12
| 0-11-12
| | 1-7/5-14/9
| 1-7/5-14/9
| | utonal
| utonal
| | 1/1-7/5-14/9
| 1/1-7/5-14/9
| | 1/1-10/9-10/7
| 1/1-10/9-10/7
| | 1/1-9/7-9/5
| 1/1-9/7-9/5
|-
|-
| | 0-2-14
| 0-2-14
| | 1-6/5-28/15
| 1-6/5-28/15
| | otonal
| otonal
| | 1/1-6/5-28/15
| 1/1-6/5-28/15
| | 1/1-14/9-5/3
| 1/1-14/9-5/3
| | 1/1-15/14-9/7
| 1/1-15/14-9/7
|-
|-
| | 0-3-14
| 0-3-14
| | 1-4/3-28/15
| 1-4/3-28/15
| | otonal
| otonal
| | 1/1-4/3-28/15
| 1/1-4/3-28/15
| | 1/1-7/5-3/2
| 1/1-7/5-3/2
| | 1/1-15/14-10/7
| 1/1-15/14-10/7
|-
|-
| | 0-4-14
| 0-4-14
| | 1-22/15-28/15
| 1-22/15-28/15
| | otonal
| otonal
| | 1/1-22/15-28/15
| 1/1-22/15-28/15
| | 1/1-14/11-15/11
| 1/1-14/11-15/11
| | 1/1-15/14-11/7
| 1/1-15/14-11/7
|-
|-
| | 0-5-14
| 0-5-14
| | 1-8/5-28/15
| 1-8/5-28/15
| | otonal
| otonal
| | 1/1-8/5-28/15
| 1/1-8/5-28/15
| | 1/1-7/6-5/4
| 1/1-7/6-5/4
| | 1/1-15/14-12/7
| 1/1-15/14-12/7
|-
|-
| | 0-6-14
| 0-6-14
| | 1-7/4-28/15
| 1-7/4-28/15
| | utonal
| utonal
| | 1/1-7/4-28/15
| 1/1-7/4-28/15
| | 1/1-16/15-8/7
| 1/1-16/15-8/7
| | 1/1-15/14-15/8
| 1/1-15/14-15/8
|-
|-
| | 0-8-14
| 0-8-14
| | 1-16/15-28/15
| 1-16/15-28/15
| | otonal
| otonal
| | 1/1-16/15-28/15
| 1/1-16/15-28/15
| | 1/1-7/4-15/8
| 1/1-7/4-15/8
| | 1/1-15/14-8/7
| 1/1-15/14-8/7
|-
|-
| | 0-9-14
| 0-9-14
| | 1-7/6-28/15
| 1-7/6-28/15
| | utonal
| utonal
| | 1/1-7/6-28/15
| 1/1-7/6-28/15
| | 1/1-8/5-12/7
| 1/1-8/5-12/7
| | 1/1-15/14-5/4
| 1/1-15/14-5/4
|-
|-
| | 0-10-14
| 0-10-14
| | 1-14/11-28/15
| 1-14/11-28/15
| | utonal
| utonal
| | 1/1-14/11-28/15
| 1/1-14/11-28/15
| | 1/1-22/15-11/7
| 1/1-22/15-11/7
| | 1/1-15/14-15/11
| 1/1-15/14-15/11
|-
|-
| | 0-11-14
| 0-11-14
| | 1-7/5-28/15
| 1-7/5-28/15
| | utonal
| utonal
| | 1/1-7/5-28/15
| 1/1-7/5-28/15
| | 1/1-4/3-10/7
| 1/1-4/3-10/7
| | 1/1-15/14-3/2
| 1/1-15/14-3/2
|-
|-
| | 0-12-14
| 0-12-14
| | 1-14/9-28/15
| 1-14/9-28/15
| | utonal
| utonal
| | 1/1-14/9-28/15
| 1/1-14/9-28/15
| | 1/1-6/5-9/7
| 1/1-6/5-9/7
| | 1/1-15/14-5/3
| 1/1-15/14-5/3
|}
|}


=Tetrads=
== Tetrads ==


{| class="wikitable"
{| class="wikitable"
|-
|-
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
| | As generated
! As generated
| | First inversion
! First inversion
| | Second inversion
! Second inversion
| | Third inversion
! Third inversion
|-
|-
| | 0-1-2-3
| 0-1-2-3
| | 1-10/9-11/9-4/3
| 1-10/9-11/9-4/3
| | otonal
| otonal
| | 1/1-10/9-11/9-4/3   
| 1/1-10/9-11/9-4/3   
| | 1/1-11/10-6/5-9/5   
| 1/1-11/10-6/5-9/5   
| | 1/1-12/11-18/11-20/11  
| 1/1-12/11-18/11-20/11  
| | 1/1-3/2-5/3-11/6   
| 1/1-3/2-5/3-11/6   
|-
|-
| | 0-1-2-4
| 0-1-2-4
| | 1-11/10-11/9-22/15
| 1-11/10-11/9-22/15
| | utonal
| utonal
| | 1/1-11/10-11/9-22/15  
| 1/1-11/10-11/9-22/15  
| | 1/1-10/9-4/3-20/11  
| 1/1-10/9-4/3-20/11  
| | 1/1-6/5-18/11-9/5   
| 1/1-6/5-18/11-9/5   
| | 1/1-15/11-3/2-5/3   
| 1/1-15/11-3/2-5/3   
|-
|-
| | 0-1-3-4
| 0-1-3-4
| | 1-10/9-4/3-22/15
| 1-10/9-4/3-22/15
| | ptolemismic
| ptolemismic
| | 1/1-10/9-4/3-22/15  
| 1/1-10/9-4/3-22/15  
| | 1/1-6/5-4/3-9/5   
| 1/1-6/5-4/3-9/5   
| | 1/1-11/10-3/2-5/3   
| 1/1-11/10-3/2-5/3   
| | 1/1-15/11-3/2-20/11  
| 1/1-15/11-3/2-20/11  
|-
|-
| | 0-1-2-5
| 0-1-2-5
| | 1-11/10-6/5-8/5
| 1-11/10-6/5-8/5
| | otonal
| otonal
| | 1/1-11/10-6/5-8/5   
| 1/1-11/10-6/5-8/5   
| | 1/1-12/11-16/11-20/11  
| 1/1-12/11-16/11-20/11  
| | 1/1-4/3-5/3-11/6   
| 1/1-4/3-5/3-11/6   
| | 1/1-5/4-11/8-3/2   
| 1/1-5/4-11/8-3/2   
|-
|-
| | 0-1-3-5
| 0-1-3-5
| | 1-11/10-4/3-8/5
| 1-11/10-4/3-8/5
| | ptolemismic
| ptolemismic
| | 1/1-11/10-4/3-8/5   
| 1/1-11/10-4/3-8/5   
| | 1/1-6/5-16/11-20/11  
| 1/1-6/5-16/11-20/11  
| | 1/1-6/5-3/2-5/3   
| 1/1-6/5-3/2-5/3   
| | 1/1-5/4-11/8-5/3   
| 1/1-5/4-11/8-5/3   
|-
|-
| | 0-1-4-5
| 0-1-4-5
| | 1-11/10-16/11-8/5
| 1-11/10-16/11-8/5
| | biyatismic
| biyatismic
| | 1/1-11/10-16/11-8/5   
| 1/1-11/10-16/11-8/5   
| | 1/1-4/3-16/11-20/11  
| 1/1-4/3-16/11-20/11  
| | 1/1-11/10-11/8-3/2   
| 1/1-11/10-11/8-3/2   
| | 1/1-5/4-11/8-20/11  
| 1/1-5/4-11/8-20/11  
|-
|-
| | 0-2-3-5
| 0-2-3-5
| | 1-6/5-4/3-8/5
| 1-6/5-4/3-8/5
| | ambitonal
| ambitonal
| | 1/1-6/5-4/3-8/5   
| 1/1-6/5-4/3-8/5   
| | 1/1-10/9-4/3-5/3   
| 1/1-10/9-4/3-5/3   
| | 1/1-6/5-3/2-9/5   
| 1/1-6/5-3/2-9/5   
| | 1/1-5/4-3/2-5/3   
| 1/1-5/4-3/2-5/3   
|-
|-
| | 0-2-4-6
| 0-2-4-6
| | 1-6/5-16/11-7/4
| 1-6/5-16/11-7/4
| | supermagic
| supermagic
| | 1/1-6/5-16/11-7/4   
| 1/1-6/5-16/11-7/4   
| | 1/1-6/5-16/11-5/3   
| 1/1-6/5-16/11-5/3   
| | 1/1-6/5-11/8-5/3   
| 1/1-6/5-11/8-5/3   
| | 1/1-8/7-11/8-5/3   
| 1/1-8/7-11/8-5/3   
|-
|-
| | 0-3-6-9
| 0-3-6-9
| | 1-4/3-7/4-7/6
| 1-4/3-7/4-7/6
| | archytas
| archytas
| | 1/1-7/6-4/3-7/4   
| 1/1-7/6-4/3-7/4   
| | 1/1-8/7-3/2-12/7   
| 1/1-8/7-3/2-12/7   
| | 1/1-4/3-3/2-7/4   
| 1/1-4/3-3/2-7/4   
| | 1/1-8/7-4/3-3/2   
| 1/1-8/7-4/3-3/2   
|-
|-
| | 0-4-8-12
| 0-4-8-12
| | 1-16/11-16/15-14/9
| 1-16/11-16/15-14/9
| | zeus
| zeus
| | 1/1-16/15-16/11-14/9   
| 1/1-16/15-16/11-14/9   
| | 1/1-15/11-16/11-15/8   
| 1/1-15/11-16/11-15/8   
| | 1/1-16/15-11/8-22/15  
| 1/1-16/15-11/8-22/15  
| | 1/1-9/7-15/11-15/8
| 1/1-9/7-15/11-15/8
|}
|}


=Pentads=
== Pentads ==
{{todo|inline=1| clarify | comment=investigate what's missing there }}


{| class="wikitable"
{| class="wikitable"
|-
|-
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| |  
|  
| |  
|  
| |  
|  
|-
|-
| | 0-1-2-3-6
| 0-1-2-3-6
| | 1-10/9-11/9-4/3-16/9
| 1-10/9-11/9-4/3-16/9
| | otonal
| otonal
|-
|-
| | 0-2-3-4-6
| 0-2-3-4-6
| |  
|  
| |  
|  
|-
|-
| | 0-3-4-5-6
| 0-3-4-5-6
| |  
|  
| |  
|  
|-
|-
| | 0-2-4-6-8
| 0-2-4-6-8
| | 1-6/5-16/11-7/4-16/15
| 1-6/5-16/11-7/4-16/15
| | porcupine
| porcupine
|-
|-
| | 0-3-6-9-12
| 0-3-6-9-12
| | 1-4/3-7/4-7/6-14/9
| 1-4/3-7/4-7/6-14/9
| | archytas
| archytas
|}
|}


=Hexads=
[[Category:Chords]]
[[Category:Porcupine]]
[[Category:Triad]]
[[Category:Tetrad]]
[[Category:Pentad]]
Retrieved from "https://en.xen.wiki/w/Porcupine/Chords"