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Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[Otonality and utonality|ambitonal]] or has a [[Otonality and utonality|o/utonal]] inverse that is also an ASS.
Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[Otonality and utonality|ambitonal]] or has a [[Otonality and utonality|o/utonal]] inverse that is also an '''Anomalous Saturated Suspension''' (or '''ASS''').


==Formal names==
==Formal names==
Line 8: Line 8:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Formal name
! Formal name
! | Odd limit
! Odd limit
! | Harmonic series
! Harmonic series
! | Scale
! Scale
![[Color notation|Color Name]]
! [[Color name]]
! | Common name
! Common name
|-
|-
| | '''A'''<span style="vertical-align: sub;">{9,1a}</span>
| '''A'''<span style="vertical-align: sub;">{9,1a}</span>
| | 9
| 9
| | 3:5:9:15
| 3:5:9:15
| | 1/1 '''6/5''' 3/2 9/5
| 1/1 '''6/5''' 3/2 9/5
|g7 = y6
| g7 = y6
| | Minor 7th Chord
| Minor 7th Chord
|-
|-
| | '''A'''<span style="vertical-align: sub;">{9,2a}</span>
| '''A'''<span style="vertical-align: sub;">{9,2a}</span>
| | 9
| 9
| | 3:7:9:21
| 3:7:9:21
| | 1/1 '''7/6''' 3/2 7/4
| 1/1 '''7/6''' 3/2 7/4
|z7 = r6
| z7 = r6
| | Septimal Minor 7th Chord
| Septimal Minor 7th Chord
|-
|-
| | '''A'''<span style="vertical-align: sub;">{11,1a}</span>
| '''A'''<span style="vertical-align: sub;">{11,1a}</span>
| | 11
| 11
| | 3:9:11:33
| 3:9:11:33
| | 1/1 11/8 3/2 '''11/6'''
| 1/1 11/8 3/2 '''11/6'''
|1o7(1o4) = 1u6(1u2)
| 1o7(1o4) = 1u6(1u2)
| |  
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{13,1a}</span>
| '''A'''<span style="vertical-align: sub;">{13,1a}</span>
| | 13
| 13
| | 3:9:13:39
| 3:9:13:39
| | 1/1 '''13/12''' 3/2 13/8
| 1/1 '''13/12''' 3/2 13/8
|3o6(3o2) = 3u7(3u4)  
| 3o6(3o2) = 3u7(3u4)  
| |  
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{15,1o}</span>
| '''A'''<span style="vertical-align: sub;">{15,1o}</span>
| | 15
| 15
| | 3:7:9:15:21
| 3:7:9:15:21
| | 1/1 '''7/6''' 5/4 3/2 7/4
| 1/1 '''7/6''' 5/4 3/2 7/4
|h7,z10 = r6,ry8
| h7,z10 = r6,ry8
| | Hendrix
| Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{15,1u}</span>
| '''A'''<span style="vertical-align: sub;">{15,1u}</span>
| | 15
| 15
| | 15:21:35:45:105
| 15:21:35:45:105
| | 1/1 '''7/6''' 7/5 3/2 7/4
| 1/1 '''7/6''' 7/5 3/2 7/4
|z7,zg5 = r6,g3
| z7,zg5 = r6,g3
| | Inverted Hendrix
| Inverted Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{15,2o}</span>
| '''A'''<span style="vertical-align: sub;">{15,2o}</span>
| | 15
| 15
| | 3:9:11:15:33
| 3:9:11:15:33
| | 1/1 5/4 11/8 3/2 '''11/6'''
| 1/1 5/4 11/8 3/2 '''11/6'''
|y,1o7,1o11 = 1u6,1u9(1uy4)
| y,1o7,1o11 = 1u6,1u9(1uy4)
| | 11-Hendrix
| 11-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{15,2u}</span>
| '''A'''<span style="vertical-align: sub;">{15,2u}</span>
| | 15
| 15
| | 15:33:45:55:165
| 15:33:45:55:165
| | 1/1 11/10 11/8 3/2 '''11/6'''
| 1/1 11/10 11/8 3/2 '''11/6'''
|1o7(1o4)1og9 = g,1u6,1u9
| 1o7(1o4)1og9 = g,1u6,1u9
| | Inverted 11-Hendrix
| Inverted 11-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{15,3o}</span>
| '''A'''<span style="vertical-align: sub;">{15,3o}</span>
| | 15
| 15
| | 3:9:13:15:39
| 3:9:13:15:39
| | 1/1 '''13/12''' 5/4 3/2 13/8
| 1/1 '''13/12''' 5/4 3/2 13/8
|y,3o6,3o9 = 3u7(3u4)3uy9
| y,3o6,3o9 = 3u7(3u4)3uy9
| | 13-Hendrix
| 13-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{15,3u}</span>
| '''A'''<span style="vertical-align: sub;">{15,3u}</span>
| | 15
| 15
| | 15:39:45:65:195
| 15:39:45:65:195
| | 1/1 '''13/12''' 13/10 3/2 13/8
| 1/1 '''13/12''' 13/10 3/2 13/8
|3o6,3o9(3og4) = g,3u7,3u11
| 3o6,3o9(3og4) = g,3u7,3u11
| | Inverted 13-Hendrix
| Inverted 13-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{17,1o}</span>
| '''A'''<span style="vertical-align: sub;">{17,1o}</span>
| | 17
| 17
| | 3:9:15:17:51
| 3:9:15:17:51
| | 1/1 17/16 5/4 '''17/12''' 3/2
| 1/1 17/16 5/4 '''17/12''' 3/2
|y,17o9,17o12
| y,17o9,17o12
| | 17-Hendrix
| 17-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{17,1u}</span>
| '''A'''<span style="vertical-align: sub;">{17,1u}</span>
| | 17
| 17
| | 15:45:51:85:255
| 15:45:51:85:255
| | 1/1 17/16 '''17/12''' 3/2 17/10
| 1/1 17/16 '''17/12''' 3/2 17/10
|17og7(17o2)17o12
| 17og7(17o2)17o12
| | Inverted 17-Hendrix
| Inverted 17-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{19,1o}</span>
| '''A'''<span style="vertical-align: sub;">{19,1o}</span>
| | 19
| 19
| | 3:9:15:19:57
| 3:9:15:19:57
| | 1/1 19/16 5/4 3/2 '''19/12'''
| 1/1 19/16 5/4 3/2 '''19/12'''
|19o6,y3 = 19u7,19uy5
| 19o6,y3 = 19u7,19uy5
| | 19-Hendrix
| 19-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{19,1u}</span>
| '''A'''<span style="vertical-align: sub;">{19,1u}</span>
| | 19
| 19
| | 15:45:57:95:285
| 15:45:57:95:285
| | 1/1 19/16 3/2 '''19/12''' 19/10
| 1/1 19/16 3/2 '''19/12''' 19/10
|19o6,19og8 = 19u7,g3
| 19o6,19og8 = 19u7,g3
| | Inverted 19-Hendrix
| Inverted 19-Hendrix
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,1o}</span>
| '''A'''<span style="vertical-align: sub;">{21,1o}</span>
| | 21
| 21
| | 3:5:9:15:21:45
| 3:5:9:15:21:45
| |1/1 5/4 3/2 '''5/3''' 7/4 15/8
| 1/1 5/4 3/2 '''5/3''' 7/4 15/8
|y6,z7,y7 = g9,zg9
| y6,z7,y7 = g9,zg9
| |
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,1u}</span>
| '''A'''<span style="vertical-align: sub;">{21,1u}</span>
| | 21
| 21
| | 7:15:21:35:63:105
| 7:15:21:35:63:105
| | 1/1 15/14 9/8 '''5/4''' 3/2 15/8
| 1/1 15/14 9/8 '''5/4''' 3/2 15/8
|y9,ry8 = g7,g6,r6
| y9,ry8 = g7,g6,r6
| |
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,2o}</span>
| '''A'''<span style="vertical-align: sub;">{21,2o}</span>
| | 21
| 21
| | 3:7:9:15:21:63
| 3:7:9:15:21:63
| |1/1 '''7/6''' 5/4 21/16 3/2 7/4
| 1/1 '''7/6''' 5/4 21/16 3/2 7/4
|h7,z10,z11 = r6,ry8,9
| h7,z10,z11 = r6,ry8,9
| |Hendrix add11?
| Hendrix add11?
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,2u}</span>
| '''A'''<span style="vertical-align: sub;">{21,2u}</span>
| | 21
| 21
| | 5:15:21:35:45:105
| 5:15:21:35:45:105
| | 1/1 21/20 9/8 21/16 '''3/2''' '''7/4'''
| 1/1 21/20 9/8 21/16 '''3/2''' '''7/4'''
|z9(z4)zg9 = z6,4,zg5 = r6,g3,r9
| z9(z4)zg9 = z6,4,zg5 = r6,g3,r9
| |blues scale
| blues scale
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,3o}</span>
| '''A'''<span style="vertical-align: sub;">{21,3o}</span>
| | 21
| 21
| | 3:9:11:15:21:33
| 3:9:11:15:21:33
| | 1/1 5/4 11/8 3/2 7/4 '''11/6'''
| 1/1 5/4 11/8 3/2 7/4 '''11/6'''
|h7,1o7,1o11
| h7,1o7,1o11
| |  
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,3u}</span>
| '''A'''<span style="vertical-align: sub;">{21,3u}</span>
| | 21
| 21
| | 105:165:231:315:385:1155
| 105:165:231:315:385:1155
| | 1/1 '''12/11''' 6/5 3/2 18/11 12/7
| 1/1 '''12/11''' 6/5 3/2 18/11 12/7
|s6,1u6,1u9
| s6,1u6,1u9
| |  
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,4o}</span>
| '''A'''<span style="vertical-align: sub;">{21,4o}</span>
| | 21
| 21
| | 3:9:13:15:21:39
| 3:9:13:15:21:39
| | 1/1 '''13/12''' 5/4 3/2 13/8 7/4
| 1/1 '''13/12''' 5/4 3/2 13/8 7/4
|h7,3o6,3o9
| h7,3o6,3o9
| |  
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,4u}</span>
| '''A'''<span style="vertical-align: sub;">{21,4u}</span>
| | 21
| 21
| | 105:195:273:315:455:1365
| 105:195:273:315:455:1365
| | 1/1 6/5 18/13 3/2 12/7 '''24/13'''
| 1/1 6/5 18/13 3/2 12/7 '''24/13'''
|s6,3u4,3u7
| s6,3u4,3u7
| |
|
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,5o}</span>
| '''A'''<span style="vertical-align: sub;">{21,5o}</span>
| | 21
| 21
| | 3:9:15:17:21:51
| 3:9:15:17:21:51
| | 1/1 17/16 5/4 '''17/12''' 3/2 7/4
| 1/1 17/16 5/4 '''17/12''' 3/2 7/4
|h7,17o9,17o12
| h7,17o9,17o12
| |dom7b9#11
| dom7b9#11
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,5u}</span>
| '''A'''<span style="vertical-align: sub;">{21,5u}</span>
| | 21
| 21
| | 105:255:315:357:595:1785
| 105:255:315:357:595:1785
| | 1/1 18/17 6/5 '''24/17''' 3/2 12/7
| 1/1 18/17 6/5 '''24/17''' 3/2 12/7
|s6,17u8,17u11
| s6,17u8,17u11
| |min6b9#11
| min6b9#11
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,6o}</span>
| '''A'''<span style="vertical-align: sub;">{21,6o}</span>
| | 21
| 21
| | 3:9:15:19:21:57
| 3:9:15:19:21:57
| | 1/1 19/16 5/4 3/2 '''19/12''' 7/4
| 1/1 19/16 5/4 3/2 '''19/12''' 7/4
|19o6,y3,z7
| 19o6,y3,z7
| |dom7#9b13
| dom7#9b13
|-
|-
| | '''A'''<span style="vertical-align: sub;">{21,6u}</span>
| '''A'''<span style="vertical-align: sub;">{21,6u}</span>
| | 21
| 21
| | 105:285:315:399:665:1995
| 105:285:315:399:665:1995
| | 1/1 6/5 '''24/19''' 3/2 12/7 36/19
| 1/1 6/5 '''24/19''' 3/2 12/7 36/19
|19u7,g3,r6
| 19u7,g3,r6
| |maj7#9,13
| maj7#9,13
|-
|-
| | '''A'''<span style="vertical-align: sub;">{23,1o}</span>
| '''A'''<span style="vertical-align: sub;">{23,1o}</span>
| | 23
| 23
| | 3:9:15:21:23:69
| 3:9:15:21:23:69
| | 1/1 5/4 23/16 3/2 7/4 '''23/12'''
| 1/1 5/4 23/16 3/2 7/4 '''23/12'''
|h7,23o5,23o8
| h7,23o5,23o8
| |  
|  
|-
|-
| | '''A'''<span style="vertical-align: sub;">{23,1u}</span>
| '''A'''<span style="vertical-align: sub;">{23,1u}</span>
| | 23
| 23
| | 105:315:345:483:805:2415
| 105:315:345:483:805:2415
| | 1/1 '''24/23''' 6/5 3/2 36/23 12/7
| 1/1 '''24/23''' 6/5 3/2 36/23 12/7
|s6,23u5,23u8
| s6,23u5,23u8
| |  
|
|}
|}


[[category:todo:add definition]]
[[Category:Chords]]
[[Category:Chords]]
[[category:ass]]
[[Category:ASS]]
 
[[Category:Todo:improve synopsis]]
Retrieved from "https://en.xen.wiki/w/List_of_anomalous_saturated_suspensions"