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Porcupine/Chords: Difference between revisions

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Jdfreivald (talk | contribs)
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→Tetrads: -- changed 0-1-3-4 to ptolemismic, since there's a 33/25 in the first inversion of this tetrad, which is 100/99 away from 4/3.
Jdfreivald (talk | contribs)
autopatrolled, emailconfirmed
64 edits
→Triads: Added in all of the inversions.
Line 8: Line 8:
| | Transversal
| | Transversal
| | Type
| | Type
| | As generated
| | 1st 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
| | 1/1-12/11-20/11
| | 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
| | 1/1-6/5-9/5
| | 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
| | 1/1-12/11-18/11
| | 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
| | 1/1-4/3-11/6
| | 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
| | 1/1-11/9-5/3
| | 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
| | 1/1-11/10-3/2
| | 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
| | 1/1-16/11-20/11
| | 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
| | 1/1-4/3-5/3
| | 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
| | 1/1-6/5-3/2
| | 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
| | 1/1-12/11-15/11
| | 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
| | 1/1-8/5-9/5
| | 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
| | 1/1-16/11-18/11
| | 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
| | 1/1-4/3-3/2
| | 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
| | 1/1-11/9-11/8
| | 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
| | 1/1-10/9-5/4
| | 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
| | 1/1-9/8-15/8
| | 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
| | 1/1-5/4-15/8
| | 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
| | 1/1-11/8-15/8
| | 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
| | 1/1-3/2-15/8
| | 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
| | 1/1-5/3-15/8
| | 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
| | 1/1-16/15-20/11
| | 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
| | 1/1-8/7-12/7
| | 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
| | 1/1-5/4-12/7
| | 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
| | 1/1-11/8-12/7
| | 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
| | 1/1-3/2-12/7
| | 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
| | 1/1-11/10-15/8
| | 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
| | 1/1-7/6-11/6
| | 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
| | 1/1-16/15-5/3
| | 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
| | 1/1-8/7-11/7
| | 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
| | 1/1-5/4-11/7
| | 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
| | 1/1-11/8-11/7
| | 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
| | 1/1-6/5-15/8
| | 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
| | 1/1-12/11-12/7
| | 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
| | 1/1-14/11-20/11
| | 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
| | 1/1-7/6-5/3
| | 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
| | 1/1-16/15-3/2
| | 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
| | 1/1-8/7-10/7
| | 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
| | 1/1-5/4-10/7
| | 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
| | 1/1-4/3-15/8
| | 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
| | 1/1-6/5-12/7
| | 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
| | 1/1-11/10-11/7
| | 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
| | 1/1-7/5-9/5
| | 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
| | 1/1-14/11-18/11
| | 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
| | 1/1-7/6-3/2
| | 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
| | 1/1-16/15-11/8
| | 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
| | 1/1-8/7-9/7
| | 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
| | 1/1-16/11-15/8
| | 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
| | 1/1-4/3-12/7
| | 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
| | 1/1-11/9-11/7
| | 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
| | 1/1-10/9-10/7
| | 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
| | 1/1-14/9-5/3
| | 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
| | 1/1-7/5-3/2
| | 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
| | 1/1-14/11-15/11
| | 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
| | 1/1-7/6-5/4
| | 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
| | 1/1-16/15-8/7
| | 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
| | 1/1-7/4-15/8
| | 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
| | 1/1-8/5-12/7
| | 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
| | 1/1-22/15-11/7
| | 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
| | 1/1-4/3-10/7
| | 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
| | 1/1-6/5-9/7
| | 1/1-15/14-5/3
|}
|}


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