Chords of magic: Difference between revisions

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autopatrolled, Sysops
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clarifications, added a few chord names
Line 7: Line 7:
The chord names use arrows (ups and downs) as described on the [[Pergen|pergens]] page. The pergen is (P8, P12/5) fifth-of-a-12th, #37 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf list of pergens]. One up is 19 generators, octave-reduced. The generator is {{nowrap|vM3 {{=}} 380¢ + ''c''/5}}, where ''c'' is the amount in cents the tempered fifth exceeds 700¢. The enharmonic interval is ^<sup>5</sup>dd2, thus {{nowrap|^<sup>5</sup>C {{=}} B##}}.  
The chord names use arrows (ups and downs) as described on the [[Pergen|pergens]] page. The pergen is (P8, P12/5) fifth-of-a-12th, #37 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf list of pergens]. One up is 19 generators, octave-reduced. The generator is {{nowrap|vM3 {{=}} 380¢ + ''c''/5}}, where ''c'' is the amount in cents the tempered fifth exceeds 700¢. The enharmonic interval is ^<sup>5</sup>dd2, thus {{nowrap|^<sup>5</sup>C {{=}} B##}}.  


To simplify the chord names, slashes (lifts and drops) are also used. One lift is -22 generators, octave-reduced. Thus {{nowrap|/1 {{=}} &minus;25G + 3G {{=}} m2 + ^^d8 {{=}} ^^d2}}. Thus a lift equals two ups minus a tempered pythagorean comma, so {{nowrap|/C {{=}} ^^Dbb|\C {{=}} vvB#|^^C {{=}} /B#|and vvC {{=}} \Dbb}}. When naming 7-limit chords, note that an up is ~81/80 and a lift is ~64/63.
To simplify the chord names, slashes (lifts and drops) are also used. One lift is -22 generators, octave-reduced. Thus {{nowrap|/1 {{=}} &minus;25G + 3G {{=}} m2 + ^^d8 {{=}} ^^d2}}. Thus a lift equals two ups minus a tempered pythagorean comma, so {{nowrap|/C {{=}} ^^Dbb|\C {{=}} vvB#|^^C {{=}} /B#|and vvC {{=}} \Dbb}}.  


The cents values of sharps, ups and lifts vary greatly, as this table shows. Note that if the fifth is wider than 22edo's fifth, a lift will actually be descending. Furthermore if the fifth is narrower than 19edo's, an up will be descending.
The cents values of sharps, ups and lifts vary greatly, as this table shows. Note that if the fifth is wider than 22edo's fifth, a lift will actually be descending. Furthermore if the fifth is narrower than 19edo's, an up will be descending.
Line 18: Line 18:
! Up
! Up
! Lift
! Lift
! How to convert the notation to an edo
! How to convert the notation to the edo
|-
|-
! 19edo
! 19edo
Line 50: Line 50:
!
!
|}
|}
 
In Magic, 5/4 = vM3, 7/4 = \m7 and 11/8 = vvA4. Thus an up is ~81/80 and a lift is ~64/63. This may not be true for other (P8, P12/5) temperaments. So the ratios in the following table are specific to Magic. But the chord names apply to any (P8, P12/5) temperament.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ style="font-size: 105%;" | Magic's genchain
|+ style="font-size: 105%;" |Magic's genchain
|-
|-
! Genspan
! Genspan
Line 69: Line 69:
! 12
! 12
! 13
! 13
!...
!18
!...
!20
|-
|-
! Cents (41edo)
! Cents (41edo)
Line 85: Line 89:
| 966
| 966
| 146
| 146
! rowspan="4" |
|849
! rowspan="4" |
|410
|-
|-
! Ratio
! Ratio
Line 101: Line 109:
| 7/4
| 7/4
| 12/11
| 12/11
|18/11
|14/11
|-
|-
! Interval
! Interval
| '''P1'''
|'''P1'''
| vM3
| vM3
| vvA5<br />\m6
| vvA5<br />\m6
| ^^d8<br />/M7
| ^^d8<br />/M7
| ^m3
| ^m3
| '''P5'''
|'''P5'''
| vM7
| vM7
| vvA2<br />\m3
| vvA2<br />\m3
Line 117: Line 127:
| vvA6<br />\m7
| vvA6<br />\m7
| ^^m2<br />/A1
| ^^m2<br />/A1
|^^m6
/A5
|'''M3'''
|-
|-
! Note<br />(in C)
! Note (in C)
| '''C'''
|'''C'''
| vE
| vE
| vvG#<br />\Ab
| vvG#<br />\Ab
| ^^Cb<br />/B
| ^^Cb<br />/B
| ^Eb
| ^Eb
| '''G'''
|'''G'''
| vB
| vB
| vvD#<br />\Eb
| vvD#<br />\Eb
| ^^Gb<br />/F#
| ^^Gb<br />/F#
| ^Bb
| ^Bb
| '''D'''
|'''D'''
| vF#<br />^\Gb
| vF#<br />^\Gb
| vvA#<br />\Bb
| vvA#<br />\Bb
| ^^Db<br />/C#
| ^^Db<br />/C#
|^^Ab
/G#
|'''E'''
|}
|}
'''''TODO: complete the tables'''''
'''''TODO: complete the tables'''''
Line 143: Line 159:
! Transversal
! Transversal
! Type
! Type
! Name
!Name
! Comments
! Comments
|-
|-
Line 150: Line 166:
| 1-5/4-14/9
| 1-5/4-14/9
| Marvel
| Marvel
| v(vv#5)
|Cv(vv#5)
|
|
|-
|-
Line 157: Line 173:
| 1-14/9-6/5
| 1-14/9-6/5
| Sensamagic
| Sensamagic
| ^m(vv#5)
|C^m(vv#5)
|
|
|-
|-
Line 164: Line 180:
| 1-5/4-3/2
| 1-5/4-3/2
| Otonal
| Otonal
| v
|Cv
|
|
|-
|-
Line 171: Line 187:
| 1-6/5-3/2
| 1-6/5-3/2
| Utonal
| Utonal
| ^m
|C^m
|
|
|-
|-
Line 178: Line 194:
| 1-14/9-7/6
| 1-14/9-7/6
| Utonal
| Utonal
| /
|C/
| 1-9/7-3/2
| 1-9/7-3/2
|-
|-
Line 185: Line 201:
| 1-3/2-7/6
| 1-3/2-7/6
| Otonal
| Otonal
| \m
|C\m
|
|
|-
|-
Line 192: Line 208:
| 1-5/4-16/11
| 1-5/4-16/11
| Keenanismic
| Keenanismic
| v(^^b5)
|Cv(^^b5)
|
|
|-
|-
Line 199: Line 215:
| 1-6/5-16/11
| 1-6/5-16/11
| Ptolemismic
| Ptolemismic
| ^m(^^b5)
|C^m(^^b5)
|
|
|-
|-
Line 206: Line 222:
| 1-7/6-16/11
| 1-7/6-16/11
| Keenanismic
| Keenanismic
| \m(^^b5)
|C\m(^^b5)
|
|
|-
|-
Line 213: Line 229:
| 1-5/4-20/11
| 1-5/4-20/11
| Utonal
| Utonal
| v^7no5
|Cv^7no5
|
|
|-
|-
Line 220: Line 236:
| 1-14/9-9/5
| 1-14/9-9/5
| Sensamagic
| Sensamagic
| ^m7(vv#5)no3
|C^m7(vv#5)no3
|
|
|-
|-
Line 227: Line 243:
| 1-6/5-9/5
| 1-6/5-9/5
| Otonal
| Otonal
| ^m7no5
|C^m7no5
| <u>or</u> 1-3/2-5/3 = v6no3
| <u>or</u> 1-3/2-5/3 = Cv6no3
|-
|-
| 13
| 13
Line 234: Line 250:
| 1-3/2-9/5
| 1-3/2-9/5
| Utonal
| Utonal
| ^m7no3
|C^m7no3
|
|
|-
|-
Line 241: Line 257:
| 1-7/6-9/5
| 1-7/6-9/5
| Sensamagic
| Sensamagic
| \mv7no5
|C\mv7no5
|
|
|-
|-
Line 248: Line 264:
| 1-16/11-20/11
| 1-16/11-20/11
| Otonal
| Otonal
| v(\b5)
|Cv(\b5)
| 1-5/4-11/8
| 1-5/4-11/8
|-
|-
Line 255: Line 271:
| 1-5/4-9/8
| 1-5/4-9/8
| Otonal
| Otonal
| v,9no5
|Cv,9no5
|
|
|-
|-
Line 262: Line 278:
| 1-14/9-9/8
| 1-14/9-9/8
| Pentacircle
| Pentacircle
| 2(vv#5)
|C2(vv#5)
|
|
|-
|-
Line 269: Line 285:
| 1-3/2-9/8
| 1-3/2-9/8
| Ambitonal
| Ambitonal
| 2
|C2
|
|
|-
|-
Line 276: Line 292:
| 1-16/11-9/8
| 1-16/11-9/8
| Pentacircle
| Pentacircle
| 2(^^b5)
|C2(^^b5)
|
|
|-
|-
Line 283: Line 299:
| 1-9/5-9/8
| 1-9/5-9/8
| Utonal
| Utonal
| ^9no35
|C^9no35
| <u>or</u> ^7sus2no5  
| <u>or</u> C^7sus2no5
|-
|-
| 21
| 21
Line 290: Line 306:
| 1-5/4-7/5
| 1-5/4-7/5
| Marvel
| Marvel
| v(^\b5)
|Cv(^\b5)
|
|
|-
|-
Line 297: Line 313:
| 1-14/9-7/5
| 1-14/9-7/5
| Utonal
| Utonal
| /,^7no5
|C/,^7no5
| 1-9/7-9/5
| 1-9/7-9/5
|-
|-
Line 304: Line 320:
| 1-6/5-7/5
| 1-6/5-7/5
| Otonal
| Otonal
| ^m(^\b5)
|C^m(^\b5)
|
|
|-
|-
Line 311: Line 327:
| 1-7/6-7/5
| 1-7/6-7/5
| Utonal
| Utonal
| \m(^\b5)
|C\m(^\b5)
|
|
|-
|-
Line 318: Line 334:
| 1-9/5-7/5
| 1-9/5-7/5
| Otonal
| Otonal
| /(^b5)
|C/(^b5)
| 1-9/7-10/7
| 1-9/7-10/7
|-
|-
Line 325: Line 341:
| 1-9/8-7/5
| 1-9/8-7/5
| Marvel
| Marvel
| v,7no5
|Cv,7no5
| 1-5/4-16/9
| 1-5/4-16/9
|-
|-
Line 332: Line 348:
| 1-5/4-7/4
| 1-5/4-7/4
| Otonal
| Otonal
| v,\7no5
|Cv,\7no5
|
|
|-
|-
Line 339: Line 355:
| 1-14/9-7/4
| 1-14/9-7/4
| Utonal
| Utonal
| /,9no5
|C/,9no5
| 1-9/8-9/7
| 1-9/8-9/7
|-
|-
Line 346: Line 362:
| 1-6/5-7/4
| 1-6/5-7/4
| Keenanismic
| Keenanismic
| ^m\7
|C^m\7
|
|
|-
|-
Line 353: Line 369:
| 1-3/2-7/4
| 1-3/2-7/4
| Otonal
| Otonal
| \7no3
|C\7no3
|
|
|-
|-
Line 360: Line 376:
| 1-7/6-7/4
| 1-7/6-7/4
| Utonal
| Utonal
| \m7no5
|C\m7no5
|
|
|-
|-
Line 367: Line 383:
| 1-16/11-7/4
| 1-16/11-7/4
| Keenanismic
| Keenanismic
| ^m(\b5)
|C^m(\b5)
| 1-6/5-11/8
| 1-6/5-11/8
|-
|-
Line 374: Line 390:
| 1-9/8-7/4
| 1-9/8-7/4
| Otonal
| Otonal
| \7sus2
|C\7sus2
|
|
|-
|-
Line 381: Line 397:
| 1-7/5-7/4
| 1-7/5-7/4
| Utonal
| Utonal
| \7(^\b5)no3
|C\7(^\b5)no3
|
|
|-
|-
Line 395: Line 411:
| 1-14/9-12/11
| 1-14/9-12/11
| Swetismic
| Swetismic
|/(^\b5)
|C/(^\b5)
| 1-9/7-7/5
| 1-9/7-7/5
|-
|-
Line 409: Line 425:
| 1-3/2-12/11
| 1-3/2-12/11
| Utonal
| Utonal
|
|C^^b2
|
|
|-
|-
Line 416: Line 432:
| 1-16/11-12/11
| 1-16/11-12/11
| Otonal
| Otonal
|
|Cvv#4
|
|1-11/8-3/2
|-
|-
| 40
| 40
Line 560: Line 576:
! Transversal
! Transversal
! Type
! Type
! Name
!Name
! Comments
! Comments
|-
|-
Line 567: Line 583:
|1-5/4-3/2-15/8
|1-5/4-3/2-15/8
|Ambitonal
|Ambitonal
|vM7
|CvM7
|
|
|-
|-
Line 574: Line 590:
| 1-5/4-14/9-9/5
| 1-5/4-14/9-9/5
| Magic
| Magic
| v^7(vv#5)
|Cv^7(vv#5)
|  
|  
|-
|-
Line 581: Line 597:
| 1-14/9-6/5-9/5
| 1-14/9-6/5-9/5
| Sensamagic
| Sensamagic
| ^m7(vv#5)
|C^m7(vv#5)
|  
|  
|-
|-
Line 588: Line 604:
| 1-5/4-3/2-9/5
| 1-5/4-3/2-9/5
| Ptolemismic
| Ptolemismic
| v^7
|Cv^7
|  
|  
|-
|-
Line 595: Line 611:
| 1-6/5-3/2-9/5
| 1-6/5-3/2-9/5
| Ambitonal
| Ambitonal
| ^m7
|C^m7
|<u>or</u> 1-5/4-3/2-5/3 = v6
|<u>or</u> 1-5/4-3/2-5/3 = Cv6
|-
|-
| 6
| 6
Line 602: Line 618:
| 1-14/9-7/6-9/5
| 1-14/9-7/6-9/5
| Sensamagic
| Sensamagic
| /,vv#9
|C/,vv#9
| 1-9/7-3/2-7/3
| 1-9/7-3/2-7/3
|-
|-
Line 609: Line 625:
| 1-3/2-7/6-9/5
| 1-3/2-7/6-9/5
| Sensamagic
| Sensamagic
| \m^7
|C\m^7
|  
|  
|-
|-
Line 616: Line 632:
| 1-5/4-16/11-9/5
| 1-5/4-16/11-9/5
| Supermagic
| Supermagic
| v^7(^^b5)
|Cv^7(^^b5)
|  
|  
|-
|-
Line 623: Line 639:
| 1-6/5-16/11-9/5
| 1-6/5-16/11-9/5
| Ptolemismic
| Ptolemismic
| ^m7(^^b5)
|C^m7(^^b5)
|  
|  
|-
|-
Line 630: Line 646:
| 1-7/6-16/11-9/5
| 1-7/6-16/11-9/5
| Magic
| Magic
| \m^7(^^b5)
|C\m^7(^^b5)
|  
|  
|-
|-
Line 637: Line 653:
| 1-5/4-14/9-9/8
| 1-5/4-14/9-9/8
| Apollo
| Apollo
| v,9(vv#5)
|Cv,9(vv#5)
|  
|  
|-
|-
Line 644: Line 660:
| 1-5/4-3/2-9/8
| 1-5/4-3/2-9/8
| Otonal
| Otonal
| v,9
|Cv,9
|  
|  
|-
|-
Line 651: Line 667:
| 1-5/4-16/11-9/8
| 1-5/4-16/11-9/8
| Sensamagic11
| Sensamagic11
| v,9(^^b5)
|Cv,9(^^b5)
|  
|  
|-
|-
Line 658: Line 674:
| 1-5/4-9/5-9/8
| 1-5/4-9/5-9/8
| Ptolemismic
| Ptolemismic
| v^7,9no5
|Cv^7,9no5
| <u>or</u> v9(^7)no5
| <u>or</u> Cv9(^7)no5
|-
|-
| 15
| 15
Line 665: Line 681:
| 1-14/9-9/5-9/8
| 1-14/9-9/5-9/8
| Sensamagic11
| Sensamagic11
| ^9(vv#5)no3
|C^9(vv#5)no3
| <u>or</u> ^7(vv#5)sus2
| <u>or</u> C^7(vv#5)sus2
|-
|-
| 16
| 16
Line 672: Line 688:
| 1-3/2-9/5-9/8
| 1-3/2-9/5-9/8
| Utonal
| Utonal
| ^9no3
|C^9no3
|<u>or</u> ^7sus2 <u>or</u> 2,^7
|<u>or</u> C^7sus2 <u>or</u> C2,^7
|-
|-
| 17
| 17
Line 679: Line 695:
| 1-16/11-9/5-9/8
| 1-16/11-9/5-9/8
| Apollo
| Apollo
|  
|
|  
|  
|-
|-
Line 686: Line 702:
| 1-5/4-14/9-7/5
| 1-5/4-14/9-7/5
| Marvel
| Marvel
|  
|
|  
|  
|-
|-
Line 693: Line 709:
| 1-14/9-6/5-7/5
| 1-14/9-6/5-7/5
| Sensamagic
| Sensamagic
|  
|
|  
|  
|-
|-
Line 700: Line 716:
| 1-14/9-7/6-7/5
| 1-14/9-7/6-7/5
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 707: Line 723:
| 1-5/4-9/5-7/5
| 1-5/4-9/5-7/5
| Apollo
| Apollo
|  
|
|  
|  
|-
|-
Line 714: Line 730:
| 1-14/9-9/5-7/5
| 1-14/9-9/5-7/5
| Sensamagic
| Sensamagic
|  
|
|  
|  
|-
|-
Line 721: Line 737:
| 1-6/5-9/5-7/5
| 1-6/5-9/5-7/5
| Otonal
| Otonal
| ^m7(^\b5)
|C^m7(^\b5)
|  
| <u>or</u> 1-7/6-3/2-5/3 = C\mv6
|-
|-
| 24
| 24
Line 728: Line 744:
| 1-7/6-9/5-7/5
| 1-7/6-9/5-7/5
| Sensamagic
| Sensamagic
|  
|
|  
|  
|-
|-
Line 735: Line 751:
| 1-5/4-9/8-7/5
| 1-5/4-9/8-7/5
| Marvel
| Marvel
|  
|
|  
|  
|-
|-
Line 742: Line 758:
| 1-14/9-9/8-7/5
| 1-14/9-9/8-7/5
| Apollo
| Apollo
|  
|
|  
|  
|-
|-
Line 749: Line 765:
| 1-9/5-9/8-7/5
| 1-9/5-9/8-7/5
| Marvel
| Marvel
|  
|
|  
|  
|-
|-
Line 756: Line 772:
| 1-5/4-14/9-7/4
| 1-5/4-14/9-7/4
| Marvel
| Marvel
|  
|
|  
|  
|-
|-
Line 763: Line 779:
| 1-14/9-6/5-7/4
| 1-14/9-6/5-7/4
| Sensamagic11
| Sensamagic11
|  
|
|  
|  
|-
|-
Line 770: Line 786:
| 1-5/4-3/2-7/4
| 1-5/4-3/2-7/4
| Otonal
| Otonal
| v,\7
|Cv,\7
|  
|  
|-
|-
Line 777: Line 793:
| 1-6/5-3/2-7/4
| 1-6/5-3/2-7/4
| Keenanismic
| Keenanismic
| ^m\7
|C^m\7
|  
|  
|-
|-
Line 784: Line 800:
| 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| Utonal
| Utonal
| \m7(vv#5)
|C\m7(vv#5)
|  
|  
|-
|-
Line 791: Line 807:
| 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| Ambitonal
| Ambitonal
| \m7
|C\m7
|  
|  
|-
|-
Line 798: Line 814:
| 1-5/4-16/11-7/4
| 1-5/4-16/11-7/4
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 805: Line 821:
| 1-6/5-16/11-7/4
| 1-6/5-16/11-7/4
| Supermagic
| Supermagic
|  
|
|  
|  
|-
|-
Line 812: Line 828:
| 1-7/6-16/11-7/4
| 1-7/6-16/11-7/4
| Keenanismic
| Keenanismic
| \m7(^^b5)
|C\m7(^^b5)
|  
|  
|-
|-
Line 819: Line 835:
|1-7/6-7/5-7/4
|1-7/6-7/5-7/4
|Otonal
|Otonal
|\m7(^\b5)
|C\m7(^\b5)
|<u>or</u> 1-6/5-3/2-12/7 = ^m/6
|<u>or</u> 1-6/5-3/2-12/7 = C^m/6
|-
|-
| 38
| 38
Line 826: Line 842:
| 1-5/4-9/8-7/4
| 1-5/4-9/8-7/4
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 833: Line 849:
| 1-14/9-9/8-7/4
| 1-14/9-9/8-7/4
| Pentacircle
| Pentacircle
|  
|
|  
|  
|-
|-
Line 840: Line 856:
| 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| Otonal
| Otonal
| \7sus2
|C2\7
|<u>or</u> 2,\7 <u>or</u> \9no3
|<u>or</u> C\7sus2 <u>or</u> C\9no3
|-
|-
| 41
| 41
Line 847: Line 863:
| 1-16/11-9/8-7/4
| 1-16/11-9/8-7/4
| Sensamagic11
| Sensamagic11
|  
|
|  
|  
|-
|-
Line 854: Line 870:
| 1-5/4-7/5-7/4
| 1-5/4-7/5-7/4
| Marvel
| Marvel
|  
|
|  
|  
|-
|-
Line 861: Line 877:
| 1-14/9-7/5-7/4
| 1-14/9-7/5-7/4
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 868: Line 884:
| 1-6/5-7/5-7/4
| 1-6/5-7/5-7/4
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 875: Line 891:
| 1-7/6-7/5-7/4
| 1-7/6-7/5-7/4
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 882: Line 898:
| 1-9/8-7/5-7/4
| 1-9/8-7/5-7/4
| Marvel
| Marvel
|  
|
|  
|  
|-
|-
Line 889: Line 905:
| 1-5/4-14/9-12/11
| 1-5/4-14/9-12/11
| Unimarvel
| Unimarvel
|  
|
|  
|  
|-
|-
Line 896: Line 912:
| 1-14/9-6/5-12/11
| 1-14/9-6/5-12/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 903: Line 919:
| 1-5/4-3/2-12/11
| 1-5/4-3/2-12/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 910: Line 926:
| 1-6/5-3/2-12/11
| 1-6/5-3/2-12/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 917: Line 933:
| 1-5/4-16/11-12/11
| 1-5/4-16/11-12/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 924: Line 940:
| 1-6/5-16/11-12/11
| 1-6/5-16/11-12/11
| Ptolemismic
| Ptolemismic
|  
|
|  
|  
|-
|-
Line 931: Line 947:
| 1-5/4-9/5-12/11
| 1-5/4-9/5-12/11
| Supermagic
| Supermagic
|  
|
|  
|  
|-
|-
Line 938: Line 954:
| 1-14/9-9/5-12/11
| 1-14/9-9/5-12/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 945: Line 961:
| 1-6/5-9/5-12/11
| 1-6/5-9/5-12/11
| Ptolemismic
| Ptolemismic
|  
|
|  
|  
|-
|-
Line 952: Line 968:
| 1-3/2-9/5-12/11
| 1-3/2-9/5-12/11
| Ptolemismic
| Ptolemismic
|  
|
|  
|  
|-
|-
Line 959: Line 975:
| 1-16/11-20/11-12/11
| 1-16/11-20/11-12/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 966: Line 982:
| 1-5/4-7/5-12/11
| 1-5/4-7/5-12/11
| Unimarvel
| Unimarvel
|  
|
|  
|  
|-
|-
Line 973: Line 989:
| 1-14/9-7/5-12/11
| 1-14/9-7/5-12/11
| Swetismic
| Swetismic
|  
|
|  
|  
|-
|-
Line 980: Line 996:
| 1-6/5-7/5-12/11
| 1-6/5-7/5-12/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 987: Line 1,003:
| 1-9/5-7/5-12/11
| 1-9/5-7/5-12/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 994: Line 1,010:
| 1-5/4-7/4-12/11
| 1-5/4-7/4-12/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 1,001: Line 1,017:
| 1-14/9-7/4-12/11
| 1-14/9-7/4-12/11
| Unimarvel
| Unimarvel
|  
|
|  
|  
|-
|-
Line 1,008: Line 1,024:
| 1-6/5-7/4-12/11
| 1-6/5-7/4-12/11
| Supermagic
| Supermagic
|  
|
|  
|  
|-
|-
Line 1,015: Line 1,031:
| 1-3/2-7/4-12/11
| 1-3/2-7/4-12/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 1,022: Line 1,038:
| 1-16/11-7/4-12/11
| 1-16/11-7/4-12/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 1,029: Line 1,045:
| 1-7/5-7/4-12/11
| 1-7/5-7/4-12/11
| Unimarvel
| Unimarvel
|  
|
|  
|  
|-
|-
Line 1,036: Line 1,052:
| 1-3/2-7/6-18/11
| 1-3/2-7/6-18/11
| Swetismic
| Swetismic
|  
|
|  
|  
|-
|-
Line 1,043: Line 1,059:
| 1-7/6-16/11-18/11
| 1-7/6-16/11-18/11
| Unimarvel
| Unimarvel
|  
|
|  
|  
|-
|-
Line 1,050: Line 1,066:
| 1-3/2-9/5-18/11
| 1-3/2-9/5-18/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,057: Line 1,073:
| 1-7/6-9/5-18/11
| 1-7/6-9/5-18/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 1,064: Line 1,080:
| 1-16/11-20/11-18/11
| 1-16/11-20/11-18/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,071: Line 1,087:
| 1-3/2-9/8-18/11
| 1-3/2-9/8-18/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,078: Line 1,094:
| 1-16/11-9/8-18/11
| 1-16/11-9/8-18/11
| Pentacircle
| Pentacircle
|  
|
|  
|  
|-
|-
Line 1,085: Line 1,101:
| 1-9/5-9/8-18/11
| 1-9/5-9/8-18/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,092: Line 1,108:
| 1-7/6-7/5-18/11
| 1-7/6-7/5-18/11
| Swetismic
| Swetismic
|  
|
|  
|  
|-
|-
Line 1,099: Line 1,115:
| 1-9/5-7/5-18/11
| 1-9/5-7/5-18/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 1,106: Line 1,122:
| 1-9/8-7/5-18/11
| 1-9/8-7/5-18/11
| Unimarvel
| Unimarvel
|  
|
|  
|  
|-
|-
Line 1,113: Line 1,129:
| 1-3/2-12/11-18/11
| 1-3/2-12/11-18/11
| Ambitonal
| Ambitonal
|  
|
|  
|  
|-
|-
Line 1,120: Line 1,136:
| 1-16/11-12/11-18/11
| 1-16/11-12/11-18/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,127: Line 1,143:
| 1-20/11-12/11-18/11
| 1-20/11-12/11-18/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,134: Line 1,150:
| 1-7/5-12/11-18/11
| 1-7/5-12/11-18/11
| Swetismic
| Swetismic
|  
|
|  
|  
|-
|-
Line 1,141: Line 1,157:
| 1-14/9-7/6-14/11
| 1-14/9-7/6-14/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,148: Line 1,164:
| 1-7/6-16/11-14/11
| 1-7/6-16/11-14/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 1,155: Line 1,171:
| 1-14/9-9/5-14/11
| 1-14/9-9/5-14/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 1,162: Line 1,178:
| 1-7/6-9/5-14/11
| 1-7/6-9/5-14/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 1,169: Line 1,185:
| 1-16/11-20/11-14/11
| 1-16/11-20/11-14/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,176: Line 1,192:
| 1-14/9-9/8-14/11
| 1-14/9-9/8-14/11
| Pentacircle
| Pentacircle
|  
|
|  
|  
|-
|-
Line 1,183: Line 1,199:
| 1-16/11-9/8-14/11
| 1-16/11-9/8-14/11
| Pentacircle
| Pentacircle
|  
|
|  
|  
|-
|-
Line 1,190: Line 1,206:
| 1-9/5-9/8-14/11
| 1-9/5-9/8-14/11
| Apollo
| Apollo
|  
|
|  
|  
|-
|-
Line 1,197: Line 1,213:
| 1-14/9-7/5-14/11
| 1-14/9-7/5-14/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,204: Line 1,220:
| 1-7/6-7/5-14/11
| 1-7/6-7/5-14/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,211: Line 1,227:
| 1-9/5-7/5-14/11
| 1-9/5-7/5-14/11
| Ptolemismic
| Ptolemismic
|  
|
|  
|  
|-
|-
Line 1,218: Line 1,234:
| 1-9/8-7/5-14/11
| 1-9/8-7/5-14/11
| Apollo
| Apollo
|  
|
|  
|  
|-
|-
Line 1,225: Line 1,241:
| 1-14/9-7/4-14/11
| 1-14/9-7/4-14/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,232: Line 1,248:
| 1-7/6-7/4-14/11
| 1-7/6-7/4-14/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,239: Line 1,255:
| 1-16/11-7/4-14/11
| 1-16/11-7/4-14/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 1,246: Line 1,262:
| 1-9/8-7/4-14/11
| 1-9/8-7/4-14/11
| Pentacircle
| Pentacircle
|  
|
|  
|  
|-
|-
Line 1,253: Line 1,269:
| 1-7/5-7/4-14/11
| 1-7/5-7/4-14/11
| Utonal
| Utonal
|  
|
|  
|  
|-
|-
Line 1,260: Line 1,276:
| 1-14/9-12/11-14/11
| 1-14/9-12/11-14/11
| Swetismic
| Swetismic
|  
|
|  
|  
|-
|-
Line 1,267: Line 1,283:
| 1-16/11-12/11-14/11
| 1-16/11-12/11-14/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,274: Line 1,290:
| 1-20/11-12/11-14/11
| 1-20/11-12/11-14/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,281: Line 1,297:
| 1-7/5-12/11-14/11
| 1-7/5-12/11-14/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 1,288: Line 1,304:
| 1-7/4-12/11-14/11
| 1-7/4-12/11-14/11
| Keenanismic
| Keenanismic
|  
|
|  
|  
|-
|-
Line 1,295: Line 1,311:
| 1-7/6-18/11-14/11
| 1-7/6-18/11-14/11
| Swetismic
| Swetismic
|  
|
|  
|  
|-
|-
Line 1,302: Line 1,318:
| 1-16/11-18/11-14/11
| 1-16/11-18/11-14/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,309: Line 1,325:
| 1-20/11-18/11-14/11
| 1-20/11-18/11-14/11
| Otonal
| Otonal
|  
|
|  
|  
|-
|-
Line 1,316: Line 1,332:
| 1-9/8-18/11-14/11
| 1-9/8-18/11-14/11
| Pentacircle
| Pentacircle
|  
|
|  
|  
|-
|-
Line 1,323: Line 1,339:
| 1-7/5-18/11-14/11
| 1-7/5-18/11-14/11
| Octarod
| Octarod
|  
|
|  
|  
|-
|-
Line 1,330: Line 1,346:
| 1-12/11-18/11-14/11
| 1-12/11-18/11-14/11
| Otonal
| Otonal
|  
|
|  
|  
|}
|}
Line 1,341: Line 1,357:
! Transversal
! Transversal
! Type
! Type
!Name
!Comments
|-
|-
| 1
| 1
Line 1,346: Line 1,364:
| 1-5/4-14/9-9/5-9/8
| 1-5/4-14/9-9/5-9/8
| Magic
| Magic
|
|
|-
|-
| 2
| 2
Line 1,351: Line 1,371:
| 1-5/4-3/2-9/5-9/8
| 1-5/4-3/2-9/5-9/8
| Ptolemismic
| Ptolemismic
|Cv9(^7)
|
|-
|-
| 3
| 3
Line 1,356: Line 1,378:
| 1-5/4-16/11-9/5-9/8
| 1-5/4-16/11-9/5-9/8
| Magic
| Magic
|
|
|-
|-
| 4
| 4
Line 1,361: Line 1,385:
| 1-5/4-14/9-9/5-7/5
| 1-5/4-14/9-9/5-7/5
| Magic
| Magic
|
|
|-
|-
| 5
| 5
Line 1,366: Line 1,392:
| 1-14/9-6/5-9/5-7/5
| 1-14/9-6/5-9/5-7/5
| Sensamagic
| Sensamagic
|
|
|-
|-
| 6
| 6
Line 1,371: Line 1,399:
| 1-14/9-7/6-9/5-7/5
| 1-14/9-7/6-9/5-7/5
| Sensamagic
| Sensamagic
|
|
|-
|-
| 7
| 7
Line 1,376: Line 1,406:
| 1-5/4-14/9-9/8-7/5
| 1-5/4-14/9-9/8-7/5
| Apollo
| Apollo
|
|
|-
|-
| 8
| 8
Line 1,381: Line 1,413:
| 1-5/4-9/5-9/8-7/5
| 1-5/4-9/5-9/8-7/5
| Apollo
| Apollo
|
|
|-
|-
| 9
| 9
Line 1,386: Line 1,420:
| 1-14/9-9/5-9/8-7/5
| 1-14/9-9/5-9/8-7/5
| Magic
| Magic
|
|
|-
|-
| 10
| 10
Line 1,391: Line 1,427:
| 1-5/4-14/9-9/8-7/4
| 1-5/4-14/9-9/8-7/4
| Apollo
| Apollo
|
|
|-
|-
| 11
| 11
Line 1,396: Line 1,434:
| 1-5/4-3/2-9/8-7/4
| 1-5/4-3/2-9/8-7/4
| Otonal
| Otonal
|Cv9(\7)
|
|-
|-
| 12
| 12
Line 1,401: Line 1,441:
| 1-5/4-16/11-9/8-7/4
| 1-5/4-16/11-9/8-7/4
| Sensamagic11
| Sensamagic11
|
|
|-
|-
| 13
| 13
Line 1,406: Line 1,448:
| 1-5/4-14/9-7/5-7/4
| 1-5/4-14/9-7/5-7/4
| Marvel
| Marvel
|
|
|-
|-
| 14
| 14
Line 1,411: Line 1,455:
| 1-14/9-6/5-7/5-7/4
| 1-14/9-6/5-7/5-7/4
| Sensamagic11
| Sensamagic11
|
|
|-
|-
| 15
| 15
Line 1,416: Line 1,462:
| 1-14/9-7/6-7/5-7/4
| 1-14/9-7/6-7/5-7/4
| Utonal
| Utonal
|C/9(^7)
|1-9/7-3/2-9/5-9/4
|-
|-
| 16
| 16
Line 1,421: Line 1,469:
| 1-5/4-9/8-7/5-7/4
| 1-5/4-9/8-7/5-7/4
| Marvel
| Marvel
|
|
|-
|-
| 17
| 17
Line 1,426: Line 1,476:
| 1-14/9-9/8-7/5-7/4
| 1-14/9-9/8-7/5-7/4
| Apollo
| Apollo
|
|
|-
|-
| 18
| 18
Line 1,431: Line 1,483:
| 1-5/4-14/9-9/5-12/11
| 1-5/4-14/9-9/5-12/11
| Magic
| Magic
|
|
|-
|-
| 19
| 19
Line 1,436: Line 1,490:
| 1-14/9-6/5-9/5-12/11
| 1-14/9-6/5-9/5-12/11
| Octarod
| Octarod
|
|
|-
|-
| 20
| 20
Line 1,441: Line 1,497:
| 1-5/4-3/2-9/5-12/11
| 1-5/4-3/2-9/5-12/11
| Supermagic
| Supermagic
|
|
|-
|-
| 21
| 21
Line 1,446: Line 1,504:
| 1-6/5-3/2-9/5-12/11
| 1-6/5-3/2-9/5-12/11
| Ptolemismic
| Ptolemismic
|
|
|-
|-
| 22
| 22
Line 1,451: Line 1,511:
| 1-5/4-16/11-9/5-12/11
| 1-5/4-16/11-9/5-12/11
| supermagic
| supermagic
|
|
|-
|-
| 23
| 23
Line 1,456: Line 1,518:
| 1-6/5-16/11-9/5-12/11
| 1-6/5-16/11-9/5-12/11
| Ptolemismic
| Ptolemismic
|
|
|-
|-
| 24
| 24
Line 1,461: Line 1,525:
| 1-5/4-14/9-7/5-12/11
| 1-5/4-14/9-7/5-12/11
| Unimarvel
| Unimarvel
|
|
|-
|-
| 25
| 25
Line 1,466: Line 1,532:
| 1-14/9-6/5-7/5-12/11
| 1-14/9-6/5-7/5-12/11
| Octarod
| Octarod
|
|
|-
|-
| 26
| 26
Line 1,471: Line 1,539:
| 1-5/4-9/5-7/5-12/11
| 1-5/4-9/5-7/5-12/11
| Magic
| Magic
|
|
|-
|-
| 27
| 27
Line 1,476: Line 1,546:
| 1-14/9-9/5-7/5-12/11
| 1-14/9-9/5-7/5-12/11
| Octarod
| Octarod
|
|
|-
|-
| 28
| 28
Line 1,481: Line 1,553:
| 1-6/5-9/5-7/5-12/11
| 1-6/5-9/5-7/5-12/11
| Octarod
| Octarod
|
|
|-
|-
| 29
| 29
Line 1,486: Line 1,560:
| 1-5/4-14/9-7/4-12/11
| 1-5/4-14/9-7/4-12/11
| Unimarvel
| Unimarvel
|
|
|-
|-
| 30
| 30
Line 1,491: Line 1,567:
| 1-14/9-6/5-7/4-12/11
| 1-14/9-6/5-7/4-12/11
| Magic
| Magic
|
|
|-
|-
| 31
| 31
Line 1,496: Line 1,574:
| 1-5/4-3/2-7/4-12/11
| 1-5/4-3/2-7/4-12/11
| Keenanismic
| Keenanismic
|
|
|-
|-
| 32
| 32
Line 1,501: Line 1,581:
| 1-6/5-3/2-7/4-12/11
| 1-6/5-3/2-7/4-12/11
| Supermagic
| Supermagic
|
|
|-
|-
| 33
| 33
Line 1,506: Line 1,588:
| 1-5/4-16/11-7/4-12/11
| 1-5/4-16/11-7/4-12/11
| Keenanismic
| Keenanismic
|
|
|-
|-
| 34
| 34
Line 1,511: Line 1,595:
| 1-6/5-16/11-7/4-12/11
| 1-6/5-16/11-7/4-12/11
| Supermagic
| Supermagic
|
|
|-
|-
| 35
| 35
Line 1,516: Line 1,602:
| 1-5/4-7/5-7/4-12/11
| 1-5/4-7/5-7/4-12/11
| Unimarvel
| Unimarvel
|
|
|-
|-
| 36
| 36
Line 1,521: Line 1,609:
| 1-14/9-7/5-7/4-12/11
| 1-14/9-7/5-7/4-12/11
| Unimarvel
| Unimarvel
|
|
|-
|-
| 37
| 37
Line 1,526: Line 1,616:
| 1-6/5-7/5-7/4-12/11
| 1-6/5-7/5-7/4-12/11
| Magic
| Magic
|
|
|-
|-
| 38
| 38
Line 1,531: Line 1,623:
| 1-3/2-7/6-9/5-18/11
| 1-3/2-7/6-9/5-18/11
| Octarod
| Octarod
|
|
|-
|-
| 39
| 39
Line 1,536: Line 1,630:
| 1-7/6-16/11-9/5-18/11
| 1-7/6-16/11-9/5-18/11
| Magic
| Magic
|
|
|-
|-
| 40
| 40
Line 1,541: Line 1,637:
| 1-3/2-9/5-9/8-18/11
| 1-3/2-9/5-9/8-18/11
| Utonal
| Utonal
|
|
|-
|-
| 41
| 41
Line 1,546: Line 1,644:
| 1-16/11-9/5-9/8-18/11
| 1-16/11-9/5-9/8-18/11
| Apollo
| Apollo
|
|
|-
|-
| 42
| 42
Line 1,551: Line 1,651:
| 1-7/6-9/5-7/5-18/11
| 1-7/6-9/5-7/5-18/11
| Octarod
| Octarod
|
|
|-
|-
| 43
| 43
Line 1,556: Line 1,658:
| 1-9/5-9/8-7/5-18/11
| 1-9/5-9/8-7/5-18/11
| Magic
| Magic
|
|
|-
|-
| 44
| 44
Line 1,561: Line 1,665:
| 1-3/2-9/5-12/11-18/11
| 1-3/2-9/5-12/11-18/11
| Ptolemismic
| Ptolemismic
|
|
|-
|-
| 45
| 45
Line 1,566: Line 1,672:
| 1-16/11-20/11-12/11-18/11
| 1-16/11-20/11-12/11-18/11
| Otonal
| Otonal
|
|
|-
|-
| 46
| 46
Line 1,571: Line 1,679:
| 1-9/5-7/5-12/11-18/11
| 1-9/5-7/5-12/11-18/11
| Octarod
| Octarod
|
|
|-
|-
| 47
| 47
Line 1,576: Line 1,686:
| 1-14/9-7/6-9/5-14/11
| 1-14/9-7/6-9/5-14/11
| Octarod
| Octarod
|
|
|-
|-
| 48
| 48
Line 1,581: Line 1,693:
| 1-7/6-16/11-9/5-14/11
| 1-7/6-16/11-9/5-14/11
| Magic
| Magic
|
|
|-
|-
| 49
| 49
Line 1,586: Line 1,700:
| 1-14/9-9/5-9/8-14/11
| 1-14/9-9/5-9/8-14/11
| Magic
| Magic
|
|
|-
|-
| 50
| 50
Line 1,591: Line 1,707:
| 1-16/11-9/5-9/8-14/11
| 1-16/11-9/5-9/8-14/11
| Apollo
| Apollo
|
|
|-
|-
| 51
| 51
Line 1,596: Line 1,714:
| 1-14/9-7/6-7/5-14/11
| 1-14/9-7/6-7/5-14/11
| Utonal
| Utonal
|
|
|-
|-
| 52
| 52
Line 1,601: Line 1,721:
| 1-14/9-9/5-7/5-14/11
| 1-14/9-9/5-7/5-14/11
| Octarod
| Octarod
|
|
|-
|-
| 53
| 53
Line 1,606: Line 1,728:
| 1-7/6-9/5-7/5-14/11
| 1-7/6-9/5-7/5-14/11
| Octarod
| Octarod
|
|
|-
|-
| 54
| 54
Line 1,611: Line 1,735:
| 1-14/9-9/8-7/5-14/11
| 1-14/9-9/8-7/5-14/11
| Apollo
| Apollo
|
|
|-
|-
| 55
| 55
Line 1,616: Line 1,742:
| 1-9/5-9/8-7/5-14/11
| 1-9/5-9/8-7/5-14/11
| Apollo
| Apollo
|
|
|-
|-
| 56
| 56
Line 1,621: Line 1,749:
| 1-14/9-7/6-7/4-14/11
| 1-14/9-7/6-7/4-14/11
| Utonal
| Utonal
|
|
|-
|-
| 57
| 57
Line 1,626: Line 1,756:
| 1-7/6-16/11-7/4-14/11
| 1-7/6-16/11-7/4-14/11
| Keenanismic
| Keenanismic
|
|
|-
|-
| 58
| 58
Line 1,631: Line 1,763:
| 1-14/9-9/8-7/4-14/11
| 1-14/9-9/8-7/4-14/11
| Pentacircle
| Pentacircle
|
|
|-
|-
| 59
| 59
Line 1,636: Line 1,770:
| 1-16/11-9/8-7/4-14/11
| 1-16/11-9/8-7/4-14/11
| Sensamagic11
| Sensamagic11
|
|
|-
|-
| 60
| 60
Line 1,641: Line 1,777:
| 1-14/9-7/5-7/4-14/11
| 1-14/9-7/5-7/4-14/11
| Utonal
| Utonal
|
|
|-
|-
| 61
| 61
Line 1,646: Line 1,784:
| 1-7/6-7/5-7/4-14/11
| 1-7/6-7/5-7/4-14/11
| Utonal
| Utonal
|
|
|-
|-
| 62
| 62
Line 1,651: Line 1,791:
| 1-9/8-7/5-7/4-14/11
| 1-9/8-7/5-7/4-14/11
| Apollo
| Apollo
|
|
|-
|-
| 63
| 63
Line 1,656: Line 1,798:
| 1-14/9-9/5-12/11-14/11
| 1-14/9-9/5-12/11-14/11
| Octarod
| Octarod
|
|
|-
|-
| 64
| 64
Line 1,661: Line 1,805:
| 1-16/11-20/11-12/11-14/11
| 1-16/11-20/11-12/11-14/11
| Otonal
| Otonal
|
|
|-
|-
| 65
| 65
Line 1,666: Line 1,812:
| 1-14/9-7/5-12/11-14/11
| 1-14/9-7/5-12/11-14/11
| Octarod
| Octarod
|
|
|-
|-
| 66
| 66
Line 1,671: Line 1,819:
| 1-9/5-7/5-12/11-14/11
| 1-9/5-7/5-12/11-14/11
| Octarod
| Octarod
|
|
|-
|-
| 67
| 67
Line 1,676: Line 1,826:
| 1-14/9-7/4-12/11-14/11
| 1-14/9-7/4-12/11-14/11
| Unimarvel
| Unimarvel
|
|
|-
|-
| 68
| 68
Line 1,681: Line 1,833:
| 1-16/11-7/4-12/11-14/11
| 1-16/11-7/4-12/11-14/11
| Keenanismic
| Keenanismic
|
|
|-
|-
| 69
| 69
Line 1,686: Line 1,840:
| 1-7/5-7/4-12/11-14/11
| 1-7/5-7/4-12/11-14/11
| Magic
| Magic
|
|
|-
|-
| 70
| 70
Line 1,691: Line 1,847:
| 1-7/6-16/11-18/11-14/11
| 1-7/6-16/11-18/11-14/11
| Unimarvel
| Unimarvel
|
|
|-
|-
| 71
| 71
Line 1,696: Line 1,854:
| 1-7/6-9/5-18/11-14/11
| 1-7/6-9/5-18/11-14/11
| Octarod
| Octarod
|
|
|-
|-
| 72
| 72
Line 1,701: Line 1,861:
| 1-16/11-20/11-18/11-14/11
| 1-16/11-20/11-18/11-14/11
| Otonal
| Otonal
|
|
|-
|-
| 73
| 73
Line 1,706: Line 1,868:
| 1-16/11-9/8-18/11-14/11
| 1-16/11-9/8-18/11-14/11
| Pentacircle
| Pentacircle
|
|
|-
|-
| 74
| 74
Line 1,711: Line 1,875:
| 1-9/5-9/8-18/11-14/11
| 1-9/5-9/8-18/11-14/11
| Apollo
| Apollo
|
|
|-
|-
| 75
| 75
Line 1,716: Line 1,882:
| 1-7/6-7/5-18/11-14/11
| 1-7/6-7/5-18/11-14/11
| Octarod
| Octarod
|
|
|-
|-
| 76
| 76
Line 1,721: Line 1,889:
| 1-9/5-7/5-18/11-14/11
| 1-9/5-7/5-18/11-14/11
| Octarod
| Octarod
|
|
|-
|-
| 77
| 77
Line 1,726: Line 1,896:
| 1-9/8-7/5-18/11-14/11
| 1-9/8-7/5-18/11-14/11
| Magic
| Magic
|
|
|-
|-
| 78
| 78
Line 1,731: Line 1,903:
| 1-16/11-12/11-18/11-14/11
| 1-16/11-12/11-18/11-14/11
| Otonal
| Otonal
|
|
|-
|-
| 79
| 79
Line 1,736: Line 1,910:
| 1-20/11-12/11-18/11-14/11
| 1-20/11-12/11-18/11-14/11
| Otonal
| Otonal
|
|
|-
|-
| 80
| 80
Line 1,741: Line 1,917:
| 1-7/5-12/11-18/11-14/11
| 1-7/5-12/11-18/11-14/11
| Octarod
| Octarod
|
|
|}
|}


Revision as of 09:54, 17 December 2024

Below are listed the dyadic chords of 11-limit magic temperament. Typing the chords requires consideration of the fact that magic conflates 10/9 and 11/10 and so also 9/5 and 20/11. 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 the chord is essentially tempered, it is analyzed in terms of the transversal which employs 10/9 and 9/5.

Chords requiring tempering only by 225/224 are labeled marvel, by 245/243 sensamagic, by 100/99 ptolemismic, by 896/891 pentacircle, by 385/384 keenanismic, and by 540/539 swetismic. Those requiring any two of 225/224, 100/99 or 896/891 are labeled apollo, any two of 100/99, 245/243 or 540/539 octarod, any two of 245/243, 896/891 or 385/384 sensamagic11, any two of 225/224, 385/384, or 540/539 unimarvel. Chords requiring both 100/99 and 385/384 are labeled supermagic. Finally, anything requiring three independent commas among those discussed above is labeled magic.

Magic has MOS scales of sizes 7, 10, 13, 16, 19, and 22 notes. It may be seen that even the seven-note mos is not without a few harmonic resources, and the larger ones do much better.

The chord names use arrows (ups and downs) as described on the pergens page. The pergen is (P8, P12/5) fifth-of-a-12th, #37 in the list of pergens. One up is 19 generators, octave-reduced. The generator is vM3 = 380¢ + c/5, where c is the amount in cents the tempered fifth exceeds 700¢. The enharmonic interval is ^5dd2, thus ^5C = B##.

To simplify the chord names, slashes (lifts and drops) are also used. One lift is -22 generators, octave-reduced. Thus /1 = −25G + 3G = m2 + ^^d8 = ^^d2. Thus a lift equals two ups minus a tempered pythagorean comma, so /C = ^^Dbb, \C = vvB#, ^^C = /B#, and vvC = \Dbb.

The cents values of sharps, ups and lifts vary greatly, as this table shows. Note that if the fifth is wider than 22edo's fifth, a lift will actually be descending. Furthermore if the fifth is narrower than 19edo's, an up will be descending.

Cents values of Magic accidentals in various tunings
Sharp Up Lift How to convert the notation to the edo
19edo 1\19 = 61¢ 0\19 = 0¢ 1\19 = 61¢ Ignore the arrows, treat slashes as sharps/flats
22edo 3\22 = 164¢ 1\22 = 55¢ 0\22 = 0¢ Ignore the slashes
41edo 4\41 = 117¢ 1\41 = 29¢ 1\41 = 29¢ Treat slashes as arrows
60edo 5\60 = 100¢ 1\60 = 20¢ 2\60 = 40¢ Treat slashes as double arrows
Rank-2 100¢ + 7c 20¢ + 3.8c 40¢ − 4.4c

In Magic, 5/4 = vM3, 7/4 = \m7 and 11/8 = vvA4. Thus an up is ~81/80 and a lift is ~64/63. This may not be true for other (P8, P12/5) temperaments. So the ratios in the following table are specific to Magic. But the chord names apply to any (P8, P12/5) temperament.

Magic's genchain
Genspan 0 1 2 3 4 5 6 7 8 9 10 11 12 13 ... 18 ... 20
Cents (41edo) 0 380 761 1141 322 702 1083 263 644 1024 205 585 966 146 849 410
Ratio 1/1 5/4 14/9 27/14 6/5 3/2 15/8 7/6 16/11 9/5 9/8 7/5 7/4 12/11 18/11 14/11
Interval P1 vM3 vvA5
\m6 		^^d8
/M7 		^m3 P5 vM7 vvA2
\m3 		^^d5
/A4 		^m7 M2 vA4
^\d5 		vvA6
\m7 		^^m2
/A1 		^^m6

/A5

M3
Note (in C) C vE vvG#
\Ab 		^^Cb
/B 		^Eb G vB vvD#
\Eb 		^^Gb
/F# 		^Bb D vF#
^\Gb 		vvA#
\Bb 		^^Db
/C# 		^^Ab

/G#

E

TODO: complete the tables

Triads

# Chord Transversal Type Name Comments
1 0-1-2 1-5/4-14/9 Marvel Cv(vv#5)
2 0-2-4 1-14/9-6/5 Sensamagic C^m(vv#5)
3 0-1-5 1-5/4-3/2 Otonal Cv
4 0-4-5 1-6/5-3/2 Utonal C^m
5 0-2-7 1-14/9-7/6 Utonal C/ 1-9/7-3/2
6 0-5-7 1-3/2-7/6 Otonal C\m
7 0-1-8 1-5/4-16/11 Keenanismic Cv(^^b5)
8 0-4-8 1-6/5-16/11 Ptolemismic C^m(^^b5)
9 0-7-8 1-7/6-16/11 Keenanismic C\m(^^b5)
10 0-1-9 1-5/4-20/11 Utonal Cv^7no5
11 0-2-9 1-14/9-9/5 Sensamagic C^m7(vv#5)no3
12 0-4-9 1-6/5-9/5 Otonal C^m7no5 or 1-3/2-5/3 = Cv6no3
13 0-5-9 1-3/2-9/5 Utonal C^m7no3
14 0-7-9 1-7/6-9/5 Sensamagic C\mv7no5
15 0-8-9 1-16/11-20/11 Otonal Cv(\b5) 1-5/4-11/8
16 0-1-10 1-5/4-9/8 Otonal Cv,9no5
17 0-2-10 1-14/9-9/8 Pentacircle C2(vv#5)
18 0-5-10 1-3/2-9/8 Ambitonal C2
19 0-8-10 1-16/11-9/8 Pentacircle C2(^^b5)
20 0-9-10 1-9/5-9/8 Utonal C^9no35 or C^7sus2no5
21 0-1-11 1-5/4-7/5 Marvel Cv(^\b5)
22 0-2-11 1-14/9-7/5 Utonal C/,^7no5 1-9/7-9/5
23 0-4-11 1-6/5-7/5 Otonal C^m(^\b5)
24 0-7-11 1-7/6-7/5 Utonal C\m(^\b5)
25 0-9-11 1-9/5-7/5 Otonal C/(^b5) 1-9/7-10/7
26 0-10-11 1-9/8-7/5 Marvel Cv,7no5 1-5/4-16/9
27 0-1-12 1-5/4-7/4 Otonal Cv,\7no5
28 0-2-12 1-14/9-7/4 Utonal C/,9no5 1-9/8-9/7
29 0-4-12 1-6/5-7/4 Keenanismic C^m\7
30 0-5-12 1-3/2-7/4 Otonal C\7no3
31 0-7-12 1-7/6-7/4 Utonal C\m7no5
32 0-8-12 1-16/11-7/4 Keenanismic C^m(\b5) 1-6/5-11/8
33 0-10-12 1-9/8-7/4 Otonal C\7sus2
34 0-11-12 1-7/5-7/4 Utonal C\7(^\b5)no3
35 0-1-13 1-5/4-12/11 Keenanismic
36 0-2-13 1-14/9-12/11 Swetismic C/(^\b5) 1-9/7-7/5
37 0-4-13 1-6/5-12/11 Utonal
38 0-5-13 1-3/2-12/11 Utonal C^^b2
39 0-8-13 1-16/11-12/11 Otonal Cvv#4 1-11/8-3/2
40 0-9-13 1-20/11-12/11 Otonal
41 0-11-13 1-7/5-12/11 Swetismic
42 0-12-13 1-7/4-12/11 Keenanismic
43 0-5-18 1-3/2-18/11 Utonal
44 0-7-18 1-7/6-18/11 Swetismic
45 0-8-18 1-16/11-18/11 Otonal
46 0-9-18 1-9/5-18/11 Utonal
47 0-10-18 1-9/8-18/11 Utonal
48 0-11-18 1-7/5-18/11 Swetismic
49 0-13-18 1-12/11-18/11 Otonal
50 0-2-20 1-14/9-14/11 Utonal
51 0-7-20 1-7/6-14/11 Utonal
52 0-8-20 1-16/11-14/11 Otonal
53 0-9-20 1-20/11-14/11 Otonal
54 0-10-20 1-9/8-14/11 Pentacircle
55 0-11-20 1-7/5-14/11 Utonal
56 0-12-20 1-7/4-14/11 Utonal
57 0-13-20 1-12/11-14/11 Otonal
58 0-18-20 1-18/11-14/11 Otonal

Tetrads

# Chord Transversal Type Name Comments
1 0-1-5-6 1-5/4-3/2-15/8 Ambitonal CvM7
2 0-1-2-9 1-5/4-14/9-9/5 Magic Cv^7(vv#5)
3 0-2-4-9 1-14/9-6/5-9/5 Sensamagic C^m7(vv#5)
4 0-1-5-9 1-5/4-3/2-9/5 Ptolemismic Cv^7
5 0-4-5-9 1-6/5-3/2-9/5 Ambitonal C^m7 or 1-5/4-3/2-5/3 = Cv6
6 0-2-7-9 1-14/9-7/6-9/5 Sensamagic C/,vv#9 1-9/7-3/2-7/3
7 0-5-7-9 1-3/2-7/6-9/5 Sensamagic C\m^7
8 0-1-8-9 1-5/4-16/11-9/5 Supermagic Cv^7(^^b5)
9 0-4-8-9 1-6/5-16/11-9/5 Ptolemismic C^m7(^^b5)
10 0-7-8-9 1-7/6-16/11-9/5 Magic C\m^7(^^b5)
11 0-1-2-10 1-5/4-14/9-9/8 Apollo Cv,9(vv#5)
12 0-1-5-10 1-5/4-3/2-9/8 Otonal Cv,9
13 0-1-8-10 1-5/4-16/11-9/8 Sensamagic11 Cv,9(^^b5)
14 0-1-9-10 1-5/4-9/5-9/8 Ptolemismic Cv^7,9no5 or Cv9(^7)no5
15 0-2-9-10 1-14/9-9/5-9/8 Sensamagic11 C^9(vv#5)no3 or C^7(vv#5)sus2
16 0-5-9-10 1-3/2-9/5-9/8 Utonal C^9no3 or C^7sus2 or C2,^7
17 0-8-9-10 1-16/11-9/5-9/8 Apollo
18 0-1-2-11 1-5/4-14/9-7/5 Marvel
19 0-2-4-11 1-14/9-6/5-7/5 Sensamagic
20 0-2-7-11 1-14/9-7/6-7/5 Utonal
21 0-1-9-11 1-5/4-9/5-7/5 Apollo
22 0-2-9-11 1-14/9-9/5-7/5 Sensamagic
23 0-4-9-11 1-6/5-9/5-7/5 Otonal C^m7(^\b5) or 1-7/6-3/2-5/3 = C\mv6
24 0-7-9-11 1-7/6-9/5-7/5 Sensamagic
25 0-1-10-11 1-5/4-9/8-7/5 Marvel
26 0-2-10-11 1-14/9-9/8-7/5 Apollo
27 0-9-10-11 1-9/5-9/8-7/5 Marvel
28 0-1-2-12 1-5/4-14/9-7/4 Marvel
29 0-2-4-12 1-14/9-6/5-7/4 Sensamagic11
30 0-1-5-12 1-5/4-3/2-7/4 Otonal Cv,\7
31 0-4-5-12 1-6/5-3/2-7/4 Keenanismic C^m\7
32 0-2-7-12 1-14/9-7/6-7/4 Utonal C\m7(vv#5)
33 0-5-7-12 1-3/2-7/6-7/4 Ambitonal C\m7
34 0-1-8-12 1-5/4-16/11-7/4 Keenanismic
35 0-4-8-12 1-6/5-16/11-7/4 Supermagic
36 0-7-8-12 1-7/6-16/11-7/4 Keenanismic C\m7(^^b5)
37 0-7-11-12 1-7/6-7/5-7/4 Otonal C\m7(^\b5) or 1-6/5-3/2-12/7 = C^m/6
38 0-1-10-12 1-5/4-9/8-7/4 Otonal
39 0-2-10-12 1-14/9-9/8-7/4 Pentacircle
40 0-5-10-12 1-3/2-9/8-7/4 Otonal C2\7 or C\7sus2 or C\9no3
41 0-8-10-12 1-16/11-9/8-7/4 Sensamagic11
42 0-1-11-12 1-5/4-7/5-7/4 Marvel
43 0-2-11-12 1-14/9-7/5-7/4 Utonal
44 0-4-11-12 1-6/5-7/5-7/4 Keenanismic
45 0-7-11-12 1-7/6-7/5-7/4 Utonal
46 0-10-11-12 1-9/8-7/5-7/4 Marvel
47 0-1-2-13 1-5/4-14/9-12/11 Unimarvel
48 0-2-4-13 1-14/9-6/5-12/11 Octarod
49 0-1-5-13 1-5/4-3/2-12/11 Keenanismic
50 0-4-5-13 1-6/5-3/2-12/11 Utonal
51 0-1-8-13 1-5/4-16/11-12/11 Keenanismic
52 0-4-8-13 1-6/5-16/11-12/11 Ptolemismic
53 0-1-9-13 1-5/4-9/5-12/11 Supermagic
54 0-2-9-13 1-14/9-9/5-12/11 Octarod
55 0-4-9-13 1-6/5-9/5-12/11 Ptolemismic
56 0-5-9-13 1-3/2-9/5-12/11 Ptolemismic
57 0-8-9-13 1-16/11-20/11-12/11 Otonal
58 0-1-11-13 1-5/4-7/5-12/11 Unimarvel
59 0-2-11-13 1-14/9-7/5-12/11 Swetismic
60 0-4-11-13 1-6/5-7/5-12/11 Octarod
61 0-9-11-13 1-9/5-7/5-12/11 Octarod
62 0-1-12-13 1-5/4-7/4-12/11 Keenanismic
63 0-2-12-13 1-14/9-7/4-12/11 Unimarvel
64 0-4-12-13 1-6/5-7/4-12/11 Supermagic
65 0-5-12-13 1-3/2-7/4-12/11 Keenanismic
66 0-8-12-13 1-16/11-7/4-12/11 Keenanismic
67 0-11-12-13 1-7/5-7/4-12/11 Unimarvel
68 0-5-7-18 1-3/2-7/6-18/11 Swetismic
69 0-7-8-18 1-7/6-16/11-18/11 Unimarvel
70 0-5-9-18 1-3/2-9/5-18/11 Utonal
71 0-7-9-18 1-7/6-9/5-18/11 Octarod
72 0-8-9-18 1-16/11-20/11-18/11 Otonal
73 0-5-10-18 1-3/2-9/8-18/11 Utonal
74 0-8-10-18 1-16/11-9/8-18/11 Pentacircle
75 0-9-10-18 1-9/5-9/8-18/11 Utonal
76 0-7-11-18 1-7/6-7/5-18/11 Swetismic
77 0-9-11-18 1-9/5-7/5-18/11 Octarod
78 0-10-11-18 1-9/8-7/5-18/11 Unimarvel
79 0-5-13-18 1-3/2-12/11-18/11 Ambitonal
80 0-8-13-18 1-16/11-12/11-18/11 Otonal
81 0-9-13-18 1-20/11-12/11-18/11 Otonal
82 0-11-13-18 1-7/5-12/11-18/11 Swetismic
83 0-2-7-20 1-14/9-7/6-14/11 Utonal
84 0-7-8-20 1-7/6-16/11-14/11 Keenanismic
85 0-2-9-20 1-14/9-9/5-14/11 Octarod
86 0-7-9-20 1-7/6-9/5-14/11 Octarod
87 0-8-9-20 1-16/11-20/11-14/11 Otonal
88 0-2-10-20 1-14/9-9/8-14/11 Pentacircle
89 0-8-10-20 1-16/11-9/8-14/11 Pentacircle
90 0-9-10-20 1-9/5-9/8-14/11 Apollo
91 0-2-11-20 1-14/9-7/5-14/11 Utonal
92 0-7-11-20 1-7/6-7/5-14/11 Utonal
93 0-9-11-20 1-9/5-7/5-14/11 Ptolemismic
94 0-10-11-20 1-9/8-7/5-14/11 Apollo
95 0-2-12-20 1-14/9-7/4-14/11 Utonal
96 0-7-12-20 1-7/6-7/4-14/11 Utonal
97 0-8-12-20 1-16/11-7/4-14/11 Keenanismic
98 0-10-12-20 1-9/8-7/4-14/11 Pentacircle
99 0-11-12-20 1-7/5-7/4-14/11 Utonal
100 0-2-13-20 1-14/9-12/11-14/11 Swetismic
101 0-8-13-20 1-16/11-12/11-14/11 Otonal
102 0-9-13-20 1-20/11-12/11-14/11 Otonal
103 0-11-13-20 1-7/5-12/11-14/11 Octarod
104 0-12-13-20 1-7/4-12/11-14/11 Keenanismic
105 0-7-18-20 1-7/6-18/11-14/11 Swetismic
106 0-8-18-20 1-16/11-18/11-14/11 Otonal
107 0-9-18-20 1-20/11-18/11-14/11 Otonal
108 0-10-18-20 1-9/8-18/11-14/11 Pentacircle
109 0-11-18-20 1-7/5-18/11-14/11 Octarod
110 0-13-18-20 1-12/11-18/11-14/11 Otonal

Pentads

# Chord Transversal Type Name Comments
1 0-1-2-9-10 1-5/4-14/9-9/5-9/8 Magic
2 0-1-5-9-10 1-5/4-3/2-9/5-9/8 Ptolemismic Cv9(^7)
3 0-1-8-9-10 1-5/4-16/11-9/5-9/8 Magic
4 0-1-2-9-11 1-5/4-14/9-9/5-7/5 Magic
5 0-2-4-9-11 1-14/9-6/5-9/5-7/5 Sensamagic
6 0-2-7-9-11 1-14/9-7/6-9/5-7/5 Sensamagic
7 0-1-2-10-11 1-5/4-14/9-9/8-7/5 Apollo
8 0-1-9-10-11 1-5/4-9/5-9/8-7/5 Apollo
9 0-2-9-10-11 1-14/9-9/5-9/8-7/5 Magic
10 0-1-2-10-12 1-5/4-14/9-9/8-7/4 Apollo
11 0-1-5-10-12 1-5/4-3/2-9/8-7/4 Otonal Cv9(\7)
12 0-1-8-10-12 1-5/4-16/11-9/8-7/4 Sensamagic11
13 0-1-2-11-12 1-5/4-14/9-7/5-7/4 Marvel
14 0-2-4-11-12 1-14/9-6/5-7/5-7/4 Sensamagic11
15 0-2-7-11-12 1-14/9-7/6-7/5-7/4 Utonal C/9(^7) 1-9/7-3/2-9/5-9/4
16 0-1-10-11-12 1-5/4-9/8-7/5-7/4 Marvel
17 0-2-10-11-12 1-14/9-9/8-7/5-7/4 Apollo
18 0-1-2-9-13 1-5/4-14/9-9/5-12/11 Magic
19 0-2-4-9-13 1-14/9-6/5-9/5-12/11 Octarod
20 0-1-5-9-13 1-5/4-3/2-9/5-12/11 Supermagic
21 0-4-5-9-13 1-6/5-3/2-9/5-12/11 Ptolemismic
22 0-1-8-9-13 1-5/4-16/11-9/5-12/11 supermagic
23 0-4-8-9-13 1-6/5-16/11-9/5-12/11 Ptolemismic
24 0-1-2-11-13 1-5/4-14/9-7/5-12/11 Unimarvel
25 0-2-4-11-13 1-14/9-6/5-7/5-12/11 Octarod
26 0-1-9-11-13 1-5/4-9/5-7/5-12/11 Magic
27 0-2-9-11-13 1-14/9-9/5-7/5-12/11 Octarod
28 0-4-9-11-13 1-6/5-9/5-7/5-12/11 Octarod
29 0-1-2-12-13 1-5/4-14/9-7/4-12/11 Unimarvel
30 0-2-4-12-13 1-14/9-6/5-7/4-12/11 Magic
31 0-1-5-12-13 1-5/4-3/2-7/4-12/11 Keenanismic
32 0-4-5-12-13 1-6/5-3/2-7/4-12/11 Supermagic
33 0-1-8-12-13 1-5/4-16/11-7/4-12/11 Keenanismic
34 0-4-8-12-13 1-6/5-16/11-7/4-12/11 Supermagic
35 0-1-11-12-13 1-5/4-7/5-7/4-12/11 Unimarvel
36 0-2-11-12-13 1-14/9-7/5-7/4-12/11 Unimarvel
37 0-4-11-12-13 1-6/5-7/5-7/4-12/11 Magic
38 0-5-7-9-18 1-3/2-7/6-9/5-18/11 Octarod
39 0-7-8-9-18 1-7/6-16/11-9/5-18/11 Magic
40 0-5-9-10-18 1-3/2-9/5-9/8-18/11 Utonal
41 0-8-9-10-18 1-16/11-9/5-9/8-18/11 Apollo
42 0-7-9-11-18 1-7/6-9/5-7/5-18/11 Octarod
43 0-9-10-11-18 1-9/5-9/8-7/5-18/11 Magic
44 0-5-9-13-18 1-3/2-9/5-12/11-18/11 Ptolemismic
45 0-8-9-13-18 1-16/11-20/11-12/11-18/11 Otonal
46 0-9-11-13-18 1-9/5-7/5-12/11-18/11 Octarod
47 0-2-7-9-20 1-14/9-7/6-9/5-14/11 Octarod
48 0-7-8-9-20 1-7/6-16/11-9/5-14/11 Magic
49 0-2-9-10-20 1-14/9-9/5-9/8-14/11 Magic
50 0-8-9-10-20 1-16/11-9/5-9/8-14/11 Apollo
51 0-2-7-11-20 1-14/9-7/6-7/5-14/11 Utonal
52 0-2-9-11-20 1-14/9-9/5-7/5-14/11 Octarod
53 0-7-9-11-20 1-7/6-9/5-7/5-14/11 Octarod
54 0-2-10-11-20 1-14/9-9/8-7/5-14/11 Apollo
55 0-9-10-11-20 1-9/5-9/8-7/5-14/11 Apollo
56 0-2-7-12-20 1-14/9-7/6-7/4-14/11 Utonal
57 0-7-8-12-20 1-7/6-16/11-7/4-14/11 Keenanismic
58 0-2-10-12-20 1-14/9-9/8-7/4-14/11 Pentacircle
59 0-8-10-12-20 1-16/11-9/8-7/4-14/11 Sensamagic11
60 0-2-11-12-20 1-14/9-7/5-7/4-14/11 Utonal
61 0-7-11-12-20 1-7/6-7/5-7/4-14/11 Utonal
62 0-10-11-12-20 1-9/8-7/5-7/4-14/11 Apollo
63 0-2-9-13-20 1-14/9-9/5-12/11-14/11 Octarod
64 0-8-9-13-20 1-16/11-20/11-12/11-14/11 Otonal
65 0-2-11-13-20 1-14/9-7/5-12/11-14/11 Octarod
66 0-9-11-13-20 1-9/5-7/5-12/11-14/11 Octarod
67 0-2-12-13-20 1-14/9-7/4-12/11-14/11 Unimarvel
68 0-8-12-13-20 1-16/11-7/4-12/11-14/11 Keenanismic
69 0-11-12-13-20 1-7/5-7/4-12/11-14/11 Magic
70 0-7-8-18-20 1-7/6-16/11-18/11-14/11 Unimarvel
71 0-7-9-18-20 1-7/6-9/5-18/11-14/11 Octarod
72 0-8-9-18-20 1-16/11-20/11-18/11-14/11 Otonal
73 0-8-10-18-20 1-16/11-9/8-18/11-14/11 Pentacircle
74 0-9-10-18-20 1-9/5-9/8-18/11-14/11 Apollo
75 0-7-11-18-20 1-7/6-7/5-18/11-14/11 Octarod
76 0-9-11-18-20 1-9/5-7/5-18/11-14/11 Octarod
77 0-10-11-18-20 1-9/8-7/5-18/11-14/11 Magic
78 0-8-13-18-20 1-16/11-12/11-18/11-14/11 Otonal
79 0-9-13-18-20 1-20/11-12/11-18/11-14/11 Otonal
80 0-11-13-18-20 1-7/5-12/11-18/11-14/11 Octarod

Hexads

# Chord Transversal Type
1 0-1-2-9-10-11 1-5/4-14/9-9/5-9/8-7/5 Magic
2 0-1-2-10-11-12 1-5/4-14/9-9/8-7/5-7/4 Apollo
3 0-1-2-9-11-13 1-5/4-14/9-9/5-7/5-12/11 Magic
4 0-2-4-9-11-13 1-14/9-6/5-9/5-7/5-12/11 Octarod
5 0-1-2-11-12-13 1-5/4-14/9-7/5-7/4-12/11 Unimarvel
6 0-2-4-11-12-13 1-14/9-6/5-7/5-7/4-12/11 Magic
7 0-2-7-9-11-20 1-14/9-7/6-9/5-7/5-14/11 Octarod
8 0-2-9-10-11-20 1-14/9-9/5-9/8-7/5-14/11 Magic
9 0-2-7-11-12-20 1-14/9-7/6-7/5-7/4-14/11 Utonal
10 0-2-10-11-12-20 1-14/9-9/8-7/5-7/4-14/11 Apollo
11 0-2-9-11-13-20 1-14/9-9/5-7/5-12/11-14/11 Octarod
12 0-2-11-12-13-20 1-14/9-7/5-7/4-12/11-14/11 Magic
13 0-7-8-9-18-20 1-7/6-16/11-9/5-18/11-14/11 Magic
14 0-8-9-10-18-20 1-16/11-9/5-9/8-18/11-14/11 Apollo
15 0-7-9-11-18-20 1-7/6-9/5-7/5-18/11-14/11 Octarod
16 0-9-10-11-18-20 1-9/5-9/8-7/5-18/11-14/11 Magic
17 0-8-9-13-18-20 1-16/11-20/11-12/11-18/11-14/11 Otonal
18 0-9-11-13-18-20 1-9/5-7/5-12/11-18/11-14/11 Octarod
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