Xenharmonic Wiki

Chords of magic: Difference between revisions

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VisualWikitext
Cleanup
Label the chords
Line 161: Line 161:
! Transversal
! Transversal
! Type
! Type
! Comments
! Kite's name
! Kite's name
! Comments
|-
|-
| 1
| 1
Line 168: Line 168:
| 1–5/4–14/9
| 1–5/4–14/9
| Marvel
| Marvel
|
| Cv(vv#5)
| Cv(vv#5)
|
|-
|-
| 2
| 2
Line 175: Line 175:
| 1–14/9–6/5
| 1–14/9–6/5
| Sensamagic
| Sensamagic
|
| C^m(vv#5)
| C^m(vv#5)
|
|-
|-
| 3
| 3
Line 182: Line 182:
| 1–5/4–3/2
| 1–5/4–3/2
| Otonal
| Otonal
| [[4:5:6]]
| Cv
| Cv
|
|-
|-
| 4
| 4
Line 189: Line 189:
| 1–6/5–3/2
| 1–6/5–3/2
| Utonal
| Utonal
| [[10:12:15|1/(6:5:4)]]
| C^m
| C^m
|
|-
|-
| 5
| 5
Line 196: Line 196:
| 1–14/9–7/6
| 1–14/9–7/6
| Utonal
| Utonal
| [[14:18:21|1/(9:7:6)]]
| C/
| C/
| 1–9/7–3/2
|-
|-
| 6
| 6
Line 203: Line 203:
| 1–3/2–7/6
| 1–3/2–7/6
| Otonal
| Otonal
| [[6:7:9]]
| C\m
| C\m
|
|-
|-
| 7
| 7
Line 210: Line 210:
| 1–5/4–16/11
| 1–5/4–16/11
| Keenanismic
| Keenanismic
|
| Cv(^^b5)
| Cv(^^b5)
|
|-
|-
| 8
| 8
Line 217: Line 217:
| 1–6/5–16/11
| 1–6/5–16/11
| Ptolemismic
| Ptolemismic
|
| C^m(^^b5)
| C^m(^^b5)
|
|-
|-
| 9
| 9
Line 224: Line 224:
| 1–7/6–16/11
| 1–7/6–16/11
| Keenanismic
| Keenanismic
|
| C\m(^^b5)
| C\m(^^b5)
|
|-
|-
| 10
| 10
Line 231: Line 231:
| 1–5/4–20/11
| 1–5/4–20/11
| Utonal
| Utonal
|
| Cv^7no5
| Cv^7no5
|
|-
|-
| 11
| 11
Line 238: Line 238:
| 1–14/9–9/5
| 1–14/9–9/5
| Sensamagic
| Sensamagic
|
| C^m7(vv#5)no3
| C^m7(vv#5)no3
|
|-
|-
| 12
| 12
Line 245: Line 245:
| 1–6/5–9/5
| 1–6/5–9/5
| Otonal
| Otonal
| C^m7no5
| [[6:9:10]]
| ''or'' 1–3/2–5/3 = Cv6no3
| C^m7no5 ''or'' Cv6no3
|-
|-
| 13
| 13
Line 252: Line 252:
| 1–3/2–9/5
| 1–3/2–9/5
| Utonal
| Utonal
| [[10:15:18|1/(9:6:5)]]
| C^m7no3
| C^m7no3
|
|-
|-
| 14
| 14
Line 259: Line 259:
| 1–7/6–9/5
| 1–7/6–9/5
| Sensamagic
| Sensamagic
|
| C\mv7no5
| C\mv7no5
|
|-
|-
| 15
| 15
Line 266: Line 266:
| 1–16/11–20/11
| 1–16/11–20/11
| Otonal
| Otonal
| 1–5/4–11/8
| Cv(\b5)
| Cv(\b5)
| 1–5/4–11/8
|-
|-
| 16
| 16
Line 273: Line 273:
| 1–5/4–9/8
| 1–5/4–9/8
| Otonal
| Otonal
|
| Cv,9no5
| Cv,9no5
|
|-
|-
| 17
| 17
Line 280: Line 280:
| 1–14/9–9/8
| 1–14/9–9/8
| Pentacircle
| Pentacircle
|
| C2(vv#5)
| C2(vv#5)
|
|-
|-
| 18
| 18
Line 287: Line 287:
| 1–3/2–9/8
| 1–3/2–9/8
| Ambitonal
| Ambitonal
| [[6:8:9]], [[8:9:12]]
| C2
| C2
|
|-
|-
| 19
| 19
Line 294: Line 294:
| 1–16/11–9/8
| 1–16/11–9/8
| Pentacircle
| Pentacircle
|
| C2(^^b5)
| C2(^^b5)
|
|-
|-
| 20
| 20
Line 301: Line 301:
| 1–9/5–9/8
| 1–9/5–9/8
| Utonal
| Utonal
| C^9no35
|
| ''or'' C^7sus2no5
| C^9no35 ''or'' C^7sus2no5
|-
|-
| 21
| 21
Line 308: Line 308:
| 1–5/4–7/5
| 1–5/4–7/5
| Marvel
| Marvel
|
| Cv(^\b5)
| Cv(^\b5)
|
|-
|-
| 22
| 22
Line 315: Line 315:
| 1–14/9–7/5
| 1–14/9–7/5
| Utonal
| Utonal
| 1–9/7–9/5
| C/,^7no5
| C/,^7no5
| 1–9/7–9/5
|-
|-
| 23
| 23
Line 322: Line 322:
| 1–6/5–7/5
| 1–6/5–7/5
| Otonal
| Otonal
| [[5:6:7]]
| C^m(^\b5)
| C^m(^\b5)
|
|-
|-
| 24
| 24
Line 329: Line 329:
| 1–7/6–7/5
| 1–7/6–7/5
| Utonal
| Utonal
| [[30:35:42|1/(7:6:5)]]
| C\m(^\b5)
| C\m(^\b5)
|
|-
|-
| 25
| 25
Line 336: Line 336:
| 1–9/5–7/5
| 1–9/5–7/5
| Otonal
| Otonal
| 1–9/7–10/7
| C/(^b5)
| C/(^b5)
| 1–9/7–10/7
|-
|-
| 26
| 26
Line 343: Line 343:
| 1–9/8–7/5
| 1–9/8–7/5
| Marvel
| Marvel
| 1–5/4–16/9
| Cv,7no5
| Cv,7no5
| 1–5/4–16/9
|-
|-
| 27
| 27
Line 350: Line 350:
| 1–5/4–7/4
| 1–5/4–7/4
| Otonal
| Otonal
| [[4:5:7]]
| Cv,\7no5
| Cv,\7no5
|
|-
|-
| 28
| 28
Line 357: Line 357:
| 1–14/9–7/4
| 1–14/9–7/4
| Utonal
| Utonal
| 1–9/8–9/7
| C/,9no5
| C/,9no5
| 1–9/8–9/7
|-
|-
| 29
| 29
Line 364: Line 364:
| 1–6/5–7/4
| 1–6/5–7/4
| Keenanismic
| Keenanismic
|
| C^m\7
| C^m\7
|
|-
|-
| 30
| 30
Line 371: Line 371:
| 1–3/2–7/4
| 1–3/2–7/4
| Otonal
| Otonal
| [[4:6:7]]
| C\7no3
| C\7no3
|
|-
|-
| 31
| 31
Line 378: Line 378:
| 1–7/6–7/4
| 1–7/6–7/4
| Utonal
| Utonal
| [[14:18:21|1/(12:8:7)]]
| C\m7no5
| C\m7no5
|
|-
|-
| 32
| 32
Line 385: Line 385:
| 1–16/11–7/4
| 1–16/11–7/4
| Keenanismic
| Keenanismic
| 1–6/5–11/8
| C^m(\b5)
| C^m(\b5)
| 1–6/5–11/8
|-
|-
| 33
| 33
Line 392: Line 392:
| 1–9/8–7/4
| 1–9/8–7/4
| Otonal
| Otonal
|
| C\7sus2
| C\7sus2
|
|-
|-
| 34
| 34
Line 399: Line 399:
| 1–7/5–7/4
| 1–7/5–7/4
| Utonal
| Utonal
| [[28:35:40|1/(10:8:7)]]
| C\7(^\b5)no3
| C\7(^\b5)no3
|
|-
|-
| 35
| 35
Line 413: Line 413:
| 1–14/9–12/11
| 1–14/9–12/11
| Swetismic
| Swetismic
| 1–9/7–7/5
| C/(^\b5)
| C/(^\b5)
| 1–9/7–7/5
|-
|-
| 37
| 37
Line 427: Line 427:
| 1–3/2–12/11
| 1–3/2–12/11
| Utonal
| Utonal
|
| C^^b2
| C^^b2
|
|-
|-
| 39
| 39
Line 434: Line 434:
| 1–16/11–12/11
| 1–16/11–12/11
| Otonal
| Otonal
| 1–11/8–3/2
| Cvv#4
| Cvv#4
| 1–11/8–3/2
|-
|-
| 40
| 40
Line 578: Line 578:
! Transversal
! Transversal
! Type
! Type
! Comments
! Kite's name
! Kite's name
! Comments
|-
|-
| 1
| 1
Line 585: Line 585:
| 1–5/4–14/9–9/5
| 1–5/4–14/9–9/5
| Magic
| Magic
|
| Cv^7(vv#5)
| Cv^7(vv#5)
|
|-
|-
| 2
| 2
Line 592: Line 592:
| 1–14/9–6/5–9/5
| 1–14/9–6/5–9/5
| Sensamagic
| Sensamagic
|
| C^m7(vv#5)
| C^m7(vv#5)
|
|-
|-
| 3
| 3
Line 599: Line 599:
| 1–5/4–3/2–9/5
| 1–5/4–3/2–9/5
| Ptolemismic
| Ptolemismic
|
| Cv^7
| Cv^7
|
|-
|-
| 4
| 4
Line 606: Line 606:
| 1–6/5–3/2–9/5
| 1–6/5–3/2–9/5
| Ambitonal
| Ambitonal
| C^m7
| [[10:12:15:18]], [[12:15:18:20]]<br>[[9-odd-limit]] [[ASS]]
| ''or'' 1–5/4–3/2–5/3 = Cv6
| C^m7 ''or'' Cv6
|-
|-
| 5
| 5
Line 613: Line 613:
| 1–14/9–7/6–9/5
| 1–14/9–7/6–9/5
| Sensamagic
| Sensamagic
| 1–9/7–3/2–7/3
| C/,vv#9
| C/,vv#9
| 1–9/7–3/2–7/3
|-
|-
| 6
| 6
Line 620: Line 620:
| 1–3/2–7/6–9/5
| 1–3/2–7/6–9/5
| Sensamagic
| Sensamagic
|
| C\m^7
| C\m^7
|
|-
|-
| 7
| 7
Line 627: Line 627:
| 1–5/4–16/11–9/5
| 1–5/4–16/11–9/5
| Keemic
| Keemic
|
| Cv^7(^^b5)
| Cv^7(^^b5)
|
|-
|-
| 8
| 8
Line 634: Line 634:
| 1–6/5–16/11–9/5
| 1–6/5–16/11–9/5
| Ptolemismic
| Ptolemismic
|
| C^m7(^^b5)
| C^m7(^^b5)
|
|-
|-
| 9
| 9
Line 641: Line 641:
| 1–7/6–16/11–9/5
| 1–7/6–16/11–9/5
| Magic
| Magic
|
| C\m^7(^^b5)
| C\m^7(^^b5)
|
|-
|-
| 10
| 10
Line 648: Line 648:
| 1–5/4–14/9–9/8
| 1–5/4–14/9–9/8
| Apollo
| Apollo
|
| Cv,9(vv#5)
| Cv,9(vv#5)
|
|-
|-
| 11
| 11
Line 655: Line 655:
| 1–5/4–3/2–9/8
| 1–5/4–3/2–9/8
| Otonal
| Otonal
| [[4:5:6:9]]
| Cv,9
| Cv,9
|
|-
|-
| 12
| 12
Line 662: Line 662:
| 1–5/4–16/11–9/8
| 1–5/4–16/11–9/8
| Sensamagic11
| Sensamagic11
|
| Cv,9(^^b5)
| Cv,9(^^b5)
|
|-
|-
| 13
| 13
Line 669: Line 669:
| 1–5/4–9/5–9/8
| 1–5/4–9/5–9/8
| Ptolemismic
| Ptolemismic
| Cv^7,9no5
|
| <u>or</u> Cv9(^7)no5
| Cv^7,9no5 ''or'' Cv9(^7)no5
|-
|-
| 14
| 14
Line 676: Line 676:
| 1–14/9–9/5–9/8
| 1–14/9–9/5–9/8
| Sensamagic11
| Sensamagic11
| C^9(vv#5)no3
|
| ''or'' C^7(vv#5)sus2
| C^9(vv#5)no3 ''or'' C^7(vv#5)sus2
|-
|-
| 15
| 15
Line 683: Line 683:
| 1–3/2–9/5–9/8
| 1–3/2–9/5–9/8
| Utonal
| Utonal
| C^9no3
| [[20:30:36:45|1/(9:6:5:4)]]
| ''or'' C^7sus2 <u>or</u> C2,^7
| C^9no3 ''or'' C^7sus2 ''or'' C2,^7
|-
|-
| 16
| 16
Line 711: Line 711:
| 1–14/9–7/6–7/5
| 1–14/9–7/6–7/5
| Utonal
| Utonal
|  
| [[70:90:105:126|1/(9:7:6:5)]]
|  
|  
|-
|-
Line 732: Line 732:
| 1–6/5–9/5–7/5
| 1–6/5–9/5–7/5
| Otonal
| Otonal
| C^m7(^\b5)
| [[6:7:9:10]]
| ''or'' 1–7/6–3/2–5/3 = C\mv6
| C^m7(^\b5) ''or'' C\mv6
|-
|-
| 23
| 23
Line 781: Line 781:
| 1–5/4–3/2–7/4
| 1–5/4–3/2–7/4
| Otonal
| Otonal
| [[4:5:6:7]]
| Cv,\7
| Cv,\7
|
|-
|-
| 30
| 30
Line 788: Line 788:
| 1–6/5–3/2–7/4
| 1–6/5–3/2–7/4
| Keenanismic
| Keenanismic
|
| C^m\7
| C^m\7
|
|-
|-
| 31
| 31
Line 795: Line 795:
| 1–14/9–7/6–7/4
| 1–14/9–7/6–7/4
| Utonal
| Utonal
|
| C\m7(vv#5)
| C\m7(vv#5)
|
|-
|-
| 32
| 32
Line 802: Line 802:
| 1–3/2–7/6–7/4
| 1–3/2–7/6–7/4
| Ambitonal
| Ambitonal
| [[12:14:18:21]], [[14:18:21:24]]<br>9-odd-limit ASS
| C\m7
| C\m7
|
|-
|-
| 33
| 33
Line 823: Line 823:
| 1–7/6–16/11–7/4
| 1–7/6–16/11–7/4
| Keenanismic
| Keenanismic
|
| C\m7(^^b5)
| C\m7(^^b5)
|
|-
|-
| 36
| 36
Line 830: Line 830:
| 1–5/4–9/8–7/4
| 1–5/4–9/8–7/4
| Otonal
| Otonal
|  
| [[4:5:7:9]]
|  
|  
|-
|-
Line 844: Line 844:
| 1–3/2–9/8–7/4
| 1–3/2–9/8–7/4
| Otonal
| Otonal
| C2\7
| [[4:6:7:9]]
| ''or'' C\7sus2 ''or'' C\9no3
| C2\7 ''or'' C\7sus2 ''or'' C\9no3
|-
|-
| 39
| 39
Line 865: Line 865:
| 1–14/9–7/5–7/4
| 1–14/9–7/5–7/4
| Utonal
| Utonal
|  
| [[140:180:252:315|1/(9:7:5:4)]]
|  
|  
|-
|-
Line 879: Line 879:
| 1–7/6–7/5–7/4
| 1–7/6–7/5–7/4
| Utonal
| Utonal
| C\m7(^\b5)
| [[70:84:105:120|1/(12:10:8:7)]]
| ''or'' 1–6/5–3/2–12/7 = C^m/6
| C\m7(^\b5) ''or'' C^m/6
|-
|-
| 44
| 44
Line 1,343: Line 1,343:
! #
! #
! Generators
! Generators
! Transversal
! Transversal
! Type
! Type
! Kite's name
! Comments
! Comments
! Kite's name
|-
|-
| 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
| 0–1–5–9–10
| 1–5/4–3/2–9/5–9/8
| Ptolemismic
|  
|  
|-
| 2
| 0–1–5–9–10
| 1–5/4–3/2–9/5–9/8
| Ptolemismic
| Cv9(^7)
| Cv9(^7)
|
|-
|-
| 3
| 3
Line 1,422: Line 1,422:
| 1–5/4–3/2–9/8–7/4
| 1–5/4–3/2–9/8–7/4
| Otonal
| Otonal
| [[4:5:6:7:9]]
| Cv9(\7)
| Cv9(\7)
|
|-
|-
| 12
| 12
Line 1,450: Line 1,450:
| 1–14/9–7/6–7/5–7/4
| 1–14/9–7/6–7/5–7/4
| Utonal
| Utonal
| [[210:252:315:360:560|1/(24:20:16:14:9)]]
| C/9(^7)
| C/9(^7)
| 1–9/7–3/2–9/5–9/4
|-
|-
| 16
| 16
Line 1,625: Line 1,625:
| 1–3/2–9/5–9/8–18/11
| 1–3/2–9/5–9/8–18/11
| Utonal
| Utonal
|  
| [[330:396:495:720:880|1/(24:20:16:11:9)]]
|  
|  
|-
|-
Line 1,660: Line 1,660:
| 1–16/11–20/11–12/11–18/11
| 1–16/11–20/11–12/11–18/11
| Otonal
| Otonal
|  
| [[4:5:6:9:11]]
|  
|  
|-
|-
Line 1,702: Line 1,702:
| 1–14/9–7/6–7/5–14/11
| 1–14/9–7/6–7/5–14/11
| Utonal
| Utonal
|  
| [[1155:1386:1980:2520:3080|1/(24:20:14:11:9)]]
|  
|  
|-
|-
Line 1,737: Line 1,737:
| 1–14/9–7/6–7/4–14/11
| 1–14/9–7/6–7/4–14/11
| Utonal
| Utonal
|  
| [[462:693:792:1008:1232|1/(24:16:14:11:9)]]
|  
|  
|-
|-
Line 1,765: Line 1,765:
| 1–14/9–7/5–7/4–14/11
| 1–14/9–7/5–7/4–14/11
| Utonal
| Utonal
|  
| [[924:1155:1320:2016:2464|1/(20:16:14:11:9)]]
|  
|  
|-
|-
Line 1,772: Line 1,772:
| 1–7/6–7/5–7/4–14/11
| 1–7/6–7/5–7/4–14/11
| Utonal
| Utonal
|  
| [[770:924:1155:1320:1680|1/(24:20:16:14:11)]]
|  
|  
|-
|-
Line 1,793: Line 1,793:
| 1–16/11–20/11–12/11–14/11
| 1–16/11–20/11–12/11–14/11
| Otonal
| Otonal
|  
| [[4:5:6:7:11]]
|  
|  
|-
|-
Line 1,849: Line 1,849:
| 1–16/11–20/11–18/11–14/11
| 1–16/11–20/11–18/11–14/11
| Otonal
| Otonal
|  
| [[4:5:7:9:11]]
|  
|  
|-
|-
Line 1,891: Line 1,891:
| 1–16/11–12/11–18/11–14/11
| 1–16/11–12/11–18/11–14/11
| Otonal
| Otonal
|  
| [[4:6:7:9:11]]
|  
|  
|-
|-
Line 1,898: Line 1,898:
| 1–20/11–12/11–18/11–14/11
| 1–20/11–12/11–18/11–14/11
| Otonal
| Otonal
|  
| [[5:6:7:9:11]]
|  
|  
|-
|-
Line 1,970: Line 1,970:
| 1–14/9–7/6–7/5–7/4–14/11
| 1–14/9–7/6–7/5–7/4–14/11
| Utonal
| Utonal
|  
| [[2310:2772:3465:3960:5040:6160|1/(24:20:16:14:11:9)]]
|-
|-
| 10
| 10
Line 2,018: Line 2,018:
| 1–16/11–20/11–12/11–18/11–14/11
| 1–16/11–20/11–12/11–18/11–14/11
| Otonal
| Otonal
|  
| [[4:5:6:7:9:11]]
|-
|-
| 18
| 18
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