Below are listed the dyadic chords of 11-limit 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, by 121/120 biyatismic, 176/175 valinorsmic, and by 385/384 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.
Triads
| Chord
|
Transversal
|
Type
|
As generated
|
1st Inversion
|
2nd Inversion
|
| 0-1-2
|
1-11/10-6/5
|
otonal
|
1/1-11/10-6/5
|
1/1-12/11-20/11
|
1/1-5/3-11/6
|
| 0-1-3
|
1-10/9-4/3
|
otonal
|
1/1-10/9-4/3
|
1/1-6/5-9/5
|
1/1-3/2-5/3
|
| 0-2-3
|
1-11/9-4/3
|
otonal
|
1/1-11/9-4/3
|
1/1-12/11-18/11
|
1/1-3/2-11/6
|
| 0-1-4
|
1-12/11-16/11
|
otonal
|
1/1-12/11-16/11
|
1/1-4/3-11/6
|
1/1-11/8-3/2
|
| 0-2-4
|
1-6/5-22/15
|
otonal
|
1/1-6/5-22/15
|
1/1-11/9-5/3
|
1/1-15/11-18/11
|
| 0-3-4
|
1-4/3-22/15
|
otonal
|
1/1-4/3-22/15
|
1/1-11/10-3/2
|
1/1-15/11-20/11
|
| 0-1-5
|
1-11/10-8/5
|
otonal
|
1/1-11/10-8/5
|
1/1-16/11-20/11
|
1/1-5/4-11/8
|
| 0-2-5
|
1-6/5-8/5
|
otonal
|
1/1-6/5-8/5
|
1/1-4/3-5/3
|
1/1-5/4-3/2
|
| 0-3-5
|
1-4/3-8/5
|
utonal
|
1/1-4/3-8/5
|
1/1-6/5-3/2
|
1/1-5/4-5/3
|
| 0-4-5
|
1-22/15-8/5
|
otonal
|
1/1-22/15-8/5
|
1/1-12/11-15/11
|
1/1-5/4-11/6
|
| 0-1-6
|
1-10/9-16/9
|
otonal
|
1/1-10/9-16/9
|
1/1-8/5-9/5
|
1/1-9/8-5/4
|
| 0-2-6
|
1-11/9-16/9
|
otonal
|
1/1-11/9-16/9
|
1/1-16/11-18/11
|
1/1-9/8-11/8
|
| 0-3-6
|
1-4/3-16/9
|
ambitonal
|
1/1-4/3-16/9
|
1/1-4/3-3/2
|
1/1-9/8-3/2
|
| 0-4-6
|
1-16/11-16/9
|
utonal
|
1/1-16/11-16/9
|
1/1-11/9-11/8
|
1/1-9/8-18/11
|
| 0-5-6
|
1-8/5-16/9
|
utonal
|
1/1-8/5-16/9
|
1/1-10/9-5/4
|
1/1-9/8-9/5
|
| 0-2-8
|
1-6/5-16/15
|
otonal
|
1/1-16/15-6/5
|
1/1-9/8-15/8
|
1/1-5/3-16/9
|
| 0-3-8
|
1-4/3-16/15
|
ambitonal
|
1/1-16/15-4/3
|
1/1-5/4-15/8
|
1/1-3/2-8/5
|
| 0-4-8
|
1-22/15-16/15
|
otonal
|
1/1-16/15-22/15
|
1/1-11/8-15/8
|
1/1-15/11-16/11
|
| 0-5-8
|
1-8/5-16/15
|
ambitonal
|
1/1-16/15-8/5
|
1/1-3/2-15/8
|
1/1-5/4-4/3
|
| 0-6-8
|
1-16/9-16/15
|
utonal
|
1/1-16/15-16/9
|
1/1-5/3-15/8
|
1/1-9/8-6/5
|
| 0-1-9
|
1-11/10-7/6
|
valinorsmic
|
1/1-11/10-7/6
|
1/1-16/15-20/11
|
1/1-12/7-15/8
|
| 0-3-9
|
1-4/3-7/6
|
otonal
|
1/1-7/6-4/3
|
1/1-8/7-12/7
|
1/1-3/2-7/4
|
| 0-4-9
|
1-16/11-7/6
|
keenanismic
|
1/1-7/6-16/11
|
1/1-5/4-12/7
|
1/1-11/8-8/5
|
| 0-5-9
|
1-8/5-7/6
|
keenanismic
|
1/1-7/6-8/5
|
1/1-11/8-12/7
|
1/1-5/4-16/11
|
| 0-6-9
|
1-7/4-7/6
|
utonal
|
1/1-7/6-7/4
|
1/1-3/2-12/7
|
1/1-8/7-4/3
|
| 0-8-9
|
1-16/15-7/6
|
valinorsmic
|
1/1-16/15-7/6
|
1/1-11/10-15/8
|
1/1-12/7-20/11
|
| 0-1-10
|
1-12/11-14/11
|
otonal
|
1/1-12/11-14/11
|
1/1-7/6-11/6
|
1/1-11/7-12/7
|
| 0-2-10
|
1-6/5-14/11
|
valinorsmic
|
1/1-6/5-14/11
|
1/1-16/15-5/3
|
1/1-11/7-15/8
|
| 0-4-10
|
1-16/11-14/11
|
otonal
|
1/1-14/11-16/11
|
1/1-8/7-11/7
|
1/1-11/8-7/4
|
| 0-5-10
|
1-8/5-14/11
|
valinorsmic
|
1/1-14/11-8/5
|
1/1-5/4-11/7
|
1/1-5/4-8/5
|
| 0-6-10
|
1-7/4-14/11
|
utonal
|
1/1-14/11-7/4
|
1/1-11/8-11/7
|
1/1-8/7-16/11
|
| 0-8-10
|
1-16/15-14/11
|
valinorsmic
|
1/1-16/15-14/11
|
1/1-6/5-15/8
|
1/1-11/7-5/3
|
| 0-9-10
|
1-7/6-14/11
|
utonal
|
1/1-7/6-14/11
|
1/1-12/11-12/7
|
1/1-11/7-11/6
|
| 0-1-11
|
1-11/10-7/5
|
otonal
|
1/1-11/10-7/5
|
1/1-14/11-20/11
|
1/1-10/7-11/7
|
| 0-2-11
|
1-6/5-7/5
|
otonal
|
1/1-6/5-7/5
|
1/1-7/6-5/3
|
1/1-10/7-12/7
|
| 0-3-11
|
1-4/3-7/5
|
archytas
|
1/1-4/3-7/5
|
1/1-16/15-3/2
|
1/1-10/7-15/8
|
| 0-5-11
|
1-8/5-7/5
|
otonal
|
1/1-7/5-8/5
|
1/1-8/7-10/7
|
1/1-5/4-7/4
|
| 0-6-11
|
1-7/4-7/5
|
utonal
|
1/1-7/5-7/4
|
1/1-5/4-10/7
|
1/1-8/7-8/5
|
| 0-8-11
|
1-16/15-7/5
|
archytas
|
1/1-16/15-7/5
|
1/1-4/3-15/8
|
1/1-10/7-3/2
|
| 0-9-11
|
1-7/6-7/5
|
utonal
|
1/1-7/6-7/5
|
1/1-6/5-12/7
|
1/1-10/7-5/3
|
| 0-10-11
|
1-14/11-7/5
|
utonal
|
1/1-14/11-7/5
|
1/1-11/10-11/7
|
1/1-10/7-20/11
|
| 0-1-12
|
1-10/9-14/9
|
otonal
|
1/1-10/9-14/9
|
1/1-7/5-9/5
|
1/1-9/7-10/7
|
| 0-2-12
|
1-11/9-14/9
|
otonal
|
1/1-11/9-14/9
|
1/1-14/11-18/11
|
1/1-9/7-11/7
|
| 0-3-12
|
1-4/3-14/9
|
otonal
|
1/1-4/3-14/9
|
1/1-7/6-3/2
|
1/1-9/7-12/7
|
| 0-4-12
|
1-16/11-14/9
|
keenanismic
|
1/1-16/11-14/9
|
1/1-16/15-11/8
|
1/1-9/7-15/8
|
| 0-6-12
|
1-16/9-14/9
|
otonal
|
1/1-14/9-16/9
|
1/1-8/7-9/7
|
1/1-9/8-7/4
|
| 0-8-12
|
1-16/15-14/9
|
keenanismic
|
1/1-16/15-14/9
|
1/1-16/11-15/8
|
1/1-9/7-11/8
|
| 0-9-12
|
1-7/6-14/9
|
utonal
|
1/1-7/6-14/9
|
1/1-4/3-12/7
|
1/1-9/7-3/2
|
| 0-10-12
|
1-14/11-14/9
|
utonal
|
1/1-14/11-14/9
|
1/1-11/9-11/7
|
1/1-9/7-18/11
|
| 0-11-12
|
1-7/5-14/9
|
utonal
|
1/1-7/5-14/9
|
1/1-10/9-10/7
|
1/1-9/7-9/5
|
| 0-2-14
|
1-6/5-28/15
|
otonal
|
1/1-6/5-28/15
|
1/1-14/9-5/3
|
1/1-15/14-9/7
|
| 0-3-14
|
1-4/3-28/15
|
otonal
|
1/1-4/3-28/15
|
1/1-7/5-3/2
|
1/1-15/14-10/7
|
| 0-4-14
|
1-22/15-28/15
|
otonal
|
1/1-22/15-28/15
|
1/1-14/11-15/11
|
1/1-15/14-11/7
|
| 0-5-14
|
1-8/5-28/15
|
otonal
|
1/1-8/5-28/15
|
1/1-7/6-5/4
|
1/1-15/14-12/7
|
| 0-6-14
|
1-7/4-28/15
|
utonal
|
1/1-7/4-28/15
|
1/1-16/15-8/7
|
1/1-15/14-15/8
|
| 0-8-14
|
1-16/15-28/15
|
otonal
|
1/1-16/15-28/15
|
1/1-7/4-15/8
|
1/1-15/14-8/7
|
| 0-9-14
|
1-7/6-28/15
|
utonal
|
1/1-7/6-28/15
|
1/1-8/5-12/7
|
1/1-15/14-5/4
|
| 0-10-14
|
1-14/11-28/15
|
utonal
|
1/1-14/11-28/15
|
1/1-22/15-11/7
|
1/1-15/14-15/11
|
| 0-11-14
|
1-7/5-28/15
|
utonal
|
1/1-7/5-28/15
|
1/1-4/3-10/7
|
1/1-15/14-3/2
|
| 0-12-14
|
1-14/9-28/15
|
utonal
|
1/1-14/9-28/15
|
1/1-6/5-9/7
|
1/1-15/14-5/3
|
Tetrads
| Chord
|
Transversal
|
Type
|
| 0-1-2-3
|
1-10/9-11/9-4/3
|
otonal
|
| 0-1-2-4
|
1-11/10-11/9-22/15
|
utonal
|
| 0-1-3-4
|
1-10/9-4/3-22/15
|
ptolemismic
|
| 0-1-2-5
|
1-11/10-6/5-8/5
|
otonal
|
| 0-1-3-5
|
1-11/10-4/3-8/5
|
ptolemismic
|
| 0-1-4-5
|
1-11/10-16/11-8/5
|
biyatismic
|
| 0-2-3-5
|
1-6/5-4/3-8/5
|
ambitonal
|
| 0-2-4-6
|
1-6/5-16/11-7/4
|
supermagic
|
| 0-3-6-9
|
1-4/3-7/4-7/6
|
archytas
|
| 0-4-8-12
|
1-16/11-16/15-14/9
|
zeus
|
Pentads
| Chord
|
Transversal
|
Type
|
|
|
|
|
| 0-1-2-3-6
|
1-10/9-11/9-4/3-16/9
|
otonal
|
| 0-2-3-4-6
|
|
|
| 0-3-4-5-6
|
|
|
| 0-2-4-6-8
|
1-6/5-16/11-7/4-16/15
|
porcupine
|
| 0-3-6-9-12
|
1-4/3-7/4-7/6-14/9
|
archytas
|
Hexads