Chords of magic: Difference between revisions

Label the chords
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Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[magic|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.
{{Breadcrumb|Magic}}
Below is a complete list of the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[magic|magic temperament]]. Note that there are many common chords, for example [[8:10:12:15]], which are not listed; in this case due to [[15/8]] not being in the 11-odd-limit. Every chord listed has multiple [[chord #Inversion|inversions]]; only one is listed, that being the inversion where all notes are a nonnegative number of major third [[generator]]s above the root.


Chords requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|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 [[undecimal sensamagic chords|sensamagic11]], any two of 225/224, 385/384, or 540/539 [[undecimal marvel chords|unimarvel]]. Chords requiring both 100/99 and 385/384 are labeled [[keemic chords|keemic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[magic chords|magic]].
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 that requires the minimum amount of commas to be tempered out; if there is a tie between multiple transversals, it is analyzed in terms of the transversal which employs 10/9 and 9/5.


Magic has [[mos scale]]s 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.
Chords requiring tempering only by [[225/224]] are labeled [[marvel chords|marvel]], by [[245/243]] [[sensamagic chords|sensamagic]], by [[100/99]] [[ptolemismic chords|ptolemismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[385/384]] [[keenanismic chords|keenanismic]], and by [[540/539]] [[swetismic chords|swetismic]]. Those requiring any two of 100/99, 225/224 or 896/891 are labeled [[apollo chords|apollo]], any two of 100/99, 245/243 or 540/539 [[octarod chords|octarod]], any two of 245/243, 896/891 or 385/384 [[undecimal sensamagic chords|sensamagic11]], any two of 225/224, 385/384, or 540/539 [[undecimal marvel chords|marvel11]]. Chords requiring both 100/99 and 385/384 are labeled [[keemic chords|keemic]]. Finally, anything requiring three independent commas among those discussed above is labeled [[magic chords|magic]].
 
Magic has [[mos scale]]s of 7, 10, 13, 16, 19, and 22 notes. It may be seen that even the 7-note mos is not without a few harmonic resources, and the larger ones do much better.


[[Kite Giedraitis]] has named the chords using arrows (ups and downs), as described in [[Kite's thoughts on pergens]]. The pergen is (P8, P12/5) fifth-of-a-twelfth, #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}} + ''c''/5 }}, where ''c'' is the amount in cents the tempered fifth exceeds 700{{c}}. The [[Kite's thoughts on enharmonic unisons in ups and downs notation|enharmonic unison]] is ^<sup>5</sup>dd2, thus {{nowrap|^<sup>5</sup>C {{=}} Bx}}. To simplify the chord names, slashes (lifts and drops) are also used. One lift is -22 generators, octave-reduced. Thus {{nowrap|/1 {{=}} −25''G'' + 3''G'' {{=}} m2 + ^^d8 {{=}} ^^d2}}. Thus a lift equals two ups minus a tempered pythagorean comma, so {{nowrap| /C {{=}} ^^Dbb }}, {{nowrap| \C {{=}} vvB# }}, {{nowrap| ^^C {{=}} /B# }}, and {{nowrap| 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.
[[Kite Giedraitis]] has named the chords using arrows (ups and downs), as described in [[Kite's thoughts on pergens]]. The pergen is (P8, P12/5) fifth-of-a-twelfth, #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}} + ''c''/5 }}, where ''c'' is the amount in cents the tempered fifth exceeds 700{{c}}. The [[Kite's thoughts on enharmonic unisons in ups and downs notation|enharmonic unison]] is ^<sup>5</sup>dd2, thus {{nowrap|^<sup>5</sup>C {{=}} Bx}}. To simplify the chord names, slashes (lifts and drops) are also used. One lift is -22 generators, octave-reduced. Thus {{nowrap|/1 {{=}} −25''G'' + 3''G'' {{=}} m2 + ^^d8 {{=}} ^^d2}}. Thus a lift equals two ups minus a tempered pythagorean comma, so {{nowrap| /C {{=}} ^^Dbb }}, {{nowrap| \C {{=}} vvB# }}, {{nowrap| ^^C {{=}} /B# }}, and {{nowrap| 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.
Line 173: Line 176:
| 2
| 2
| 0–2–4
| 0–2–4
| 1–14/9–6/5
| 1–6/5–14/9
| Sensamagic
| Sensamagic
|  
|  
Line 194: Line 197:
| 5
| 5
| 0–2–7
| 0–2–7
| 1–14/9–7/6
| 1–7/6–14/9
| Utonal
| Utonal
| [[14:18:21|1/(9:7:6)]]
| [[14:18:21|1/(9:7:6)]]
Line 201: Line 204:
| 6
| 6
| 0–5–7
| 0–5–7
| 1–3/2–7/6
| 1–7/6–3/2
| Otonal
| Otonal
| [[6:7:9]]
| [[6:7:9]]
Line 271: Line 274:
| 16
| 16
| 0–1–10
| 0–1–10
| 1–5/4–9/8
| 1–9/8–5/4
| Otonal
| Otonal
|  
|  
Line 278: Line 281:
| 17
| 17
| 0–2–10
| 0–2–10
| 1–14/9–9/8
| 1–9/8–14/9
| Pentacircle
| Pentacircle
|  
|  
Line 285: Line 288:
| 18
| 18
| 0–5–10
| 0–5–10
| 1–3/2–9/8
| 1–9/8–3/2
| Ambitonal
| Ambitonal
| [[6:8:9]], [[8:9:12]]
| [[6:8:9]], [[8:9:12]]
Line 292: Line 295:
| 19
| 19
| 0–8–10
| 0–8–10
| 1–16/11–9/8
| 1–9/8–16/11
| Pentacircle
| Pentacircle
|  
|  
Line 299: Line 302:
| 20
| 20
| 0–9–10
| 0–9–10
| 1–9/5–9/8
| 1–9/8–9/5
| Utonal
| Utonal
|  
|  
Line 313: Line 316:
| 22
| 22
| 0–2–11
| 0–2–11
| 1–14/9–7/5
| 1–7/5–14/9
| Utonal
| Utonal
| 1–9/7–9/5
| 1–9/7–9/5
Line 334: Line 337:
| 25
| 25
| 0–9–11
| 0–9–11
| 1–9/5–7/5
| 1–7/5–9/5
| Otonal
| Otonal
| 1–9/7–10/7
| 1–9/7–10/7
Line 404: Line 407:
| 35
| 35
| 0–1–13
| 0–1–13
| 1–5/4–12/11
| 1–12/11–5/4
| Keenanismic
| Keenanismic
|  
|  
Line 411: Line 414:
| 36
| 36
| 0–2–13
| 0–2–13
| 1–14/9–12/11
| 1–12/11–14/9
| Swetismic
| Swetismic
| 1–9/7–7/5
| 1–9/7–7/5
Line 418: Line 421:
| 37
| 37
| 0–4–13
| 0–4–13
| 1–6/5–12/11
| 1–12/11–6/5
| Utonal
| Utonal
|  
|  
Line 425: Line 428:
| 38
| 38
| 0–5–13
| 0–5–13
| 1–3/2–12/11
| 1–12/11–3/2
| Utonal
| Utonal
|  
|  
Line 432: Line 435:
| 39
| 39
| 0–8–13
| 0–8–13
| 1–16/11–12/11
| 1–12/11–16/11
| Otonal
| Otonal
| 1–11/8–3/2
| 1–11/8–3/2
Line 439: Line 442:
| 40
| 40
| 0–9–13
| 0–9–13
| 1–20/11–12/11
| 1–12/11–20/11
| Otonal
| Otonal
|  
|  
Line 446: Line 449:
| 41
| 41
| 0–11–13
| 0–11–13
| 1–7/5–12/11
| 1–12/11–7/5
| Swetismic
| Swetismic
|  
|  
Line 453: Line 456:
| 42
| 42
| 0–12–13
| 0–12–13
| 1–7/4–12/11
| 1–12/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 481: Line 484:
| 46
| 46
| 0–9–18
| 0–9–18
| 1–9/5–18/11
| 1–18/11–9/5
| Utonal
| Utonal
|  
|  
Line 509: Line 512:
| 50
| 50
| 0–2–20
| 0–2–20
| 1–14/9–14/11
| 1–14/11–14/9
| Utonal
| Utonal
|  
|  
Line 523: Line 526:
| 52
| 52
| 0–8–20
| 0–8–20
| 1–16/11–14/11
| 1–14/11–16/11
| Otonal
| Otonal
|  
|  
Line 530: Line 533:
| 53
| 53
| 0–9–20
| 0–9–20
| 1–20/11–14/11
| 1–14/11–20/11
| Otonal
| Otonal
|  
|  
Line 544: Line 547:
| 55
| 55
| 0–11–20
| 0–11–20
| 1–7/5–14/11
| 1–14/11–7/5
| Utonal
| Utonal
|  
|  
Line 551: Line 554:
| 56
| 56
| 0–12–20
| 0–12–20
| 1–7/4–14/11
| 1–14/11–7/4
| Utonal
| Utonal
|  
|  
Line 565: Line 568:
| 58
| 58
| 0–18–20
| 0–18–20
| 1–18/11–14/11
| 1–14/11–18/11
| Otonal
| Otonal
|  
|  
Line 590: Line 593:
| 2
| 2
| 0–2–4–9
| 0–2–4–9
| 1–14/9–6/5–9/5
| 1–6/5–14/9–9/5
| Sensamagic
| Sensamagic
|  
|  
Line 611: Line 614:
| 5
| 5
| 0–2–7–9
| 0–2–7–9
| 1–14/9–7/6–9/5
| 1–7/6–14/9–9/5
| Sensamagic
| Sensamagic
| 1–9/7–3/2–7/3
| 1–9/7–3/2–7/3
Line 618: Line 621:
| 6
| 6
| 0–5–7–9
| 0–5–7–9
| 1–3/2–7/6–9/5
| 1–7/6–3/2–9/5
| Sensamagic
| Sensamagic
|  
|  
Line 646: Line 649:
| 10
| 10
| 0–1–2–10
| 0–1–2–10
| 1–5/4–14/9–9/8
| 1–9/8–5/4–14/9
| Apollo
| Apollo
|  
|  
Line 653: Line 656:
| 11
| 11
| 0–1–5–10
| 0–1–5–10
| 1–5/4–3/2–9/8
| 1–9/8–5/4–3/2
| Otonal
| Otonal
| [[4:5:6:9]]
| [[4:5:6:9]]
Line 660: Line 663:
| 12
| 12
| 0–1–8–10
| 0–1–8–10
| 1–5/4–16/11–9/8
| 1–9/8–5/4–16/11
| Sensamagic11
| Sensamagic11
|  
|  
Line 667: Line 670:
| 13
| 13
| 0–1–9–10
| 0–1–9–10
| 1–5/4–9/5–9/8
| 1–9/8–5/4–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 674: Line 677:
| 14
| 14
| 0–2–9–10
| 0–2–9–10
| 1–14/9–9/5–9/8
| 1–9/8–14/9–9/5
| Sensamagic11
| Sensamagic11
|  
|  
Line 681: Line 684:
| 15
| 15
| 0–5–9–10
| 0–5–9–10
| 1–3/2–9/5–9/8
| 1–9/8–3/2–9/5
| Utonal
| Utonal
| [[20:30:36:45|1/(9:6:5:4)]]
| [[20:30:36:45|1/(9:6:5:4)]]
Line 688: Line 691:
| 16
| 16
| 0–8–9–10
| 0–8–9–10
| 1–16/11–9/5–9/8
| 1–9/8–16/11–9/5
| Apollo
| Apollo
|  
|  
Line 695: Line 698:
| 17
| 17
| 0–1–2–11
| 0–1–2–11
| 1–5/4–14/9–7/5
| 1–5/4–7/5–14/9
| Marvel
| Marvel
|  
|  
Line 702: Line 705:
| 18
| 18
| 0–2–4–11
| 0–2–4–11
| 1–14/9–6/5–7/5
| 1–6/5–7/5–14/9
| Sensamagic
| Sensamagic
|  
|  
Line 709: Line 712:
| 19
| 19
| 0–2–7–11
| 0–2–7–11
| 1–14/9–7/6–7/5
| 1–7/6–7/5–14/9
| Utonal
| Utonal
| [[70:90:105:126|1/(9:7:6:5)]]
| [[70:90:105:126|1/(9:7:6:5)]]
Line 716: Line 719:
| 20
| 20
| 0–1–9–11
| 0–1–9–11
| 1–5/4–9/5–7/5
| 1–5/4–7/5–9/5
| Apollo
| Apollo
|  
|  
Line 723: Line 726:
| 21
| 21
| 0–2–9–11
| 0–2–9–11
| 1–14/9–9/5–7/5
| 1–7/5–14/9–9/5
| Sensamagic
| Sensamagic
|  
|  
Line 730: Line 733:
| 22
| 22
| 0–4–9–11
| 0–4–9–11
| 1–6/5–9/5–7/5
| 1–6/5–7/5–9/5
| Otonal
| Otonal
| [[6:7:9:10]]
| [[6:7:9:10]]
Line 737: Line 740:
| 23
| 23
| 0–7–9–11
| 0–7–9–11
| 1–7/6–9/5–7/5
| 1–7/6–7/5–9/5
| Sensamagic
| Sensamagic
|  
|  
Line 744: Line 747:
| 24
| 24
| 0–1–10–11
| 0–1–10–11
| 1–5/4–9/8–7/5
| 1–9/8–5/4–7/5
| Marvel
| Marvel
|  
|  
Line 751: Line 754:
| 25
| 25
| 0–2–10–11
| 0–2–10–11
| 1–14/9–9/8–7/5
| 1–9/8–7/5–14/9
| Apollo
| Apollo
|  
|  
Line 758: Line 761:
| 26
| 26
| 0–9–10–11
| 0–9–10–11
| 1–9/5–9/8–7/5
| 1–9/8–7/5–9/5
| Marvel
| Marvel
|  
|  
Line 772: Line 775:
| 28
| 28
| 0–2–4–12
| 0–2–4–12
| 1–14/9–6/5–7/4
| 1–6/5–14/9–7/4
| Sensamagic11
| Sensamagic11
|  
|  
Line 793: Line 796:
| 31
| 31
| 0–2–7–12
| 0–2–7–12
| 1–14/9–7/6–7/4
| 1–7/6–14/9–7/4
| Utonal
| Utonal
|  
|  
Line 800: Line 803:
| 32
| 32
| 0–5–7–12
| 0–5–7–12
| 1–3/2–7/6–7/4
| 1–7/6–3/2–7/4
| Ambitonal
| Ambitonal
| [[12:14:18:21]], [[14:18:21:24]]<br>9-odd-limit ASS
| [[12:14:18:21]], [[14:18:21:24]]<br>9-odd-limit ASS
Line 828: Line 831:
| 36
| 36
| 0–1–10–12
| 0–1–10–12
| 1–5/4–9/8–7/4
| 1–9/8–5/4–7/4
| Otonal
| Otonal
| [[4:5:7:9]]
| [[4:5:7:9]]
Line 835: Line 838:
| 37
| 37
| 0–2–10–12
| 0–2–10–12
| 1–14/9–9/8–7/4
| 1–9/8–14/9–7/4
| Pentacircle
| Pentacircle
|  
|  
Line 842: Line 845:
| 38
| 38
| 0–5–10–12
| 0–5–10–12
| 1–3/2–9/8–7/4
| 1–9/8–3/2–7/4
| Otonal
| Otonal
| [[4:6:7:9]]
| [[4:6:7:9]]
Line 849: Line 852:
| 39
| 39
| 0–8–10–12
| 0–8–10–12
| 1–16/11–9/8–7/4
| 1–9/8–16/11–7/4
| Sensamagic11
| Sensamagic11
|  
|  
Line 863: Line 866:
| 41
| 41
| 0–2–11–12
| 0–2–11–12
| 1–14/9–7/5–7/4
| 1–7/5–14/9–7/4
| Utonal
| Utonal
| [[140:180:252:315|1/(9:7:5:4)]]
| [[140:180:252:315|1/(9:7:5:4)]]
Line 891: Line 894:
| 45
| 45
| 0–1–2–13
| 0–1–2–13
| 1–5/4–14/9–12/11
| 1–12/11–5/4–14/9
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 898: Line 901:
| 46
| 46
| 0–2–4–13
| 0–2–4–13
| 1–14/9–6/5–12/11
| 1–12/11–6/5–14/9
| Octarod
| Octarod
|  
|  
Line 905: Line 908:
| 47
| 47
| 0–1–5–13
| 0–1–5–13
| 1–5/4–3/2–12/11
| 1–12/11–5/4–3/2
| Keenanismic
| Keenanismic
|  
|  
Line 912: Line 915:
| 48
| 48
| 0–4–5–13
| 0–4–5–13
| 1–6/5–3/2–12/11
| 1–12/11–6/5–3/2
| Utonal
| Utonal
|  
|  
Line 919: Line 922:
| 49
| 49
| 0–1–8–13
| 0–1–8–13
| 1–5/4–16/11–12/11
| 1–12/11–5/4–16/11
| Keenanismic
| Keenanismic
|  
|  
Line 926: Line 929:
| 50
| 50
| 0–4–8–13
| 0–4–8–13
| 1–6/5–16/11–12/11
| 1–12/11–6/5–16/11
| Ptolemismic
| Ptolemismic
|  
|  
Line 933: Line 936:
| 51
| 51
| 0–1–9–13
| 0–1–9–13
| 1–5/4–9/5–12/11
| 1–12/11–5/4–9/5
| Keemic
| Keemic
|  
|  
Line 940: Line 943:
| 52
| 52
| 0–2–9–13
| 0–2–9–13
| 1–14/9–9/5–12/11
| 1–12/11–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 947: Line 950:
| 53
| 53
| 0–4–9–13
| 0–4–9–13
| 1–6/5–9/5–12/11
| 1–12/11–6/5–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 954: Line 957:
| 54
| 54
| 0–5–9–13
| 0–5–9–13
| 1–3/2–9/5–12/11
| 1–12/11–3/2–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 961: Line 964:
| 55
| 55
| 0–8–9–13
| 0–8–9–13
| 1–16/11–20/11–12/11
| 1–12/11–16/11–20/11
| Otonal
| Otonal
|  
|  
Line 968: Line 971:
| 56
| 56
| 0–1–11–13
| 0–1–11–13
| 1–5/4–7/5–12/11
| 1–12/11–5/4–7/5
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 975: Line 978:
| 57
| 57
| 0–2–11–13
| 0–2–11–13
| 1–14/9–7/5–12/11
| 1–12/11–7/5–14/9
| Swetismic
| Swetismic
|  
|  
Line 982: Line 985:
| 58
| 58
| 0–4–11–13
| 0–4–11–13
| 1–6/5–7/5–12/11
| 1–12/11–6/5–7/5
| Octarod
| Octarod
|  
|  
Line 989: Line 992:
| 59
| 59
| 0–9–11–13
| 0–9–11–13
| 1–9/5–7/5–12/11
| 1–12/11–7/5–9/5
| Octarod
| Octarod
|  
|  
Line 996: Line 999:
| 60
| 60
| 0–1–12–13
| 0–1–12–13
| 1–5/4–7/4–12/11
| 1–12/11–5/4–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,003: Line 1,006:
| 61
| 61
| 0–2–12–13
| 0–2–12–13
| 1–14/9–7/4–12/11
| 1–12/11–14/9–7/4
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,010: Line 1,013:
| 62
| 62
| 0–4–12–13
| 0–4–12–13
| 1–6/5–7/4–12/11
| 1–12/11–6/5–7/4
| Keemic
| Keemic
|  
|  
Line 1,017: Line 1,020:
| 63
| 63
| 0–5–12–13
| 0–5–12–13
| 1–3/2–7/4–12/11
| 1–12/11–3/2–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,024: Line 1,027:
| 64
| 64
| 0–8–12–13
| 0–8–12–13
| 1–16/11–7/4–12/11
| 1–12/11–16/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,031: Line 1,034:
| 65
| 65
| 0–11–12–13
| 0–11–12–13
| 1–7/5–7/4–12/11
| 1–12/11–7/5–7/4
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,038: Line 1,041:
| 66
| 66
| 0–5–7–18
| 0–5–7–18
| 1–3/2–7/6–18/11
| 1–7/6–3/2–18/11
| Swetismic
| Swetismic
|  
|  
Line 1,046: Line 1,049:
| 0–7–8–18
| 0–7–8–18
| 1–7/6–16/11–18/11
| 1–7/6–16/11–18/11
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,052: Line 1,055:
| 68
| 68
| 0–5–9–18
| 0–5–9–18
| 1–3/2–9/5–18/11
| 1–3/2–18/11–9/5
| Utonal
| Utonal
|  
|  
Line 1,059: Line 1,062:
| 69
| 69
| 0–7–9–18
| 0–7–9–18
| 1–7/6–9/5–18/11
| 1–7/6–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,066: Line 1,069:
| 70
| 70
| 0–8–9–18
| 0–8–9–18
| 1–16/11–20/11–18/11
| 1–16/11–18/11–20/11
| Otonal
| Otonal
|  
|  
Line 1,073: Line 1,076:
| 71
| 71
| 0–5–10–18
| 0–5–10–18
| 1–3/2–9/8–18/11
| 1–9/8–3/2–18/11
| Utonal
| Utonal
|  
|  
Line 1,080: Line 1,083:
| 72
| 72
| 0–8–10–18
| 0–8–10–18
| 1–16/11–9/8–18/11
| 1–9/8–16/11–18/11
| Pentacircle
| Pentacircle
|  
|  
Line 1,087: Line 1,090:
| 73
| 73
| 0–9–10–18
| 0–9–10–18
| 1–9/5–9/8–18/11
| 1–9/8–18/11–9/5
| Utonal
| Utonal
|  
|  
Line 1,101: Line 1,104:
| 75
| 75
| 0–9–11–18
| 0–9–11–18
| 1–9/5–7/5–18/11
| 1–7/5–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,109: Line 1,112:
| 0–10–11–18
| 0–10–11–18
| 1–9/8–7/5–18/11
| 1–9/8–7/5–18/11
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,115: Line 1,118:
| 77
| 77
| 0–5–13–18
| 0–5–13–18
| 1–3/2–12/11–18/11
| 1–12/11–3/2–18/11
| Ambitonal
| Ambitonal
|  
|  
Line 1,122: Line 1,125:
| 78
| 78
| 0–8–13–18
| 0–8–13–18
| 1–16/11–12/11–18/11
| 1–12/11–16/11–18/11
| Otonal
| Otonal
|  
|  
Line 1,129: Line 1,132:
| 79
| 79
| 0–9–13–18
| 0–9–13–18
| 1–20/11–12/11–18/11
| 1–12/11–18/11–20/11
| Otonal
| Otonal
|  
|  
Line 1,136: Line 1,139:
| 80
| 80
| 0–11–13–18
| 0–11–13–18
| 1–7/5–12/11–18/11
| 1–12/11–7/5–18/11
| Swetismic
| Swetismic
|  
|  
Line 1,143: Line 1,146:
| 81
| 81
| 0–2–7–20
| 0–2–7–20
| 1–14/9–7/6–14/11
| 1–7/6–14/11–14/9
| Utonal
| Utonal
|  
|  
Line 1,150: Line 1,153:
| 82
| 82
| 0–7–8–20
| 0–7–8–20
| 1–7/6–16/11–14/11
| 1–7/6–14/11–16/11
| Keenanismic
| Keenanismic
|  
|  
Line 1,157: Line 1,160:
| 83
| 83
| 0–2–9–20
| 0–2–9–20
| 1–14/9–9/5–14/11
| 1–14/11–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,164: Line 1,167:
| 84
| 84
| 0–7–9–20
| 0–7–9–20
| 1–7/6–9/5–14/11
| 1–7/6–14/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,171: Line 1,174:
| 85
| 85
| 0–8–9–20
| 0–8–9–20
| 1–16/11–20/11–14/11
| 1–14/11–16/11–20/11
| Otonal
| Otonal
|  
|  
Line 1,178: Line 1,181:
| 86
| 86
| 0–2–10–20
| 0–2–10–20
| 1–14/9–9/8–14/11
| 1–9/8–14/11–14/9
| Pentacircle
| Pentacircle
|  
|  
Line 1,185: Line 1,188:
| 87
| 87
| 0–8–10–20
| 0–8–10–20
| 1–16/11–9/8–14/11
| 1–9/8–14/11–16/11
| Pentacircle
| Pentacircle
|  
|  
Line 1,192: Line 1,195:
| 88
| 88
| 0–9–10–20
| 0–9–10–20
| 1–9/5–9/8–14/11
| 1–9/8–14/11–9/5
| Apollo
| Apollo
|  
|  
Line 1,199: Line 1,202:
| 89
| 89
| 0–2–11–20
| 0–2–11–20
| 1–14/9–7/5–14/11
| 1–7/5–14/11–14/9
| Utonal
| Utonal
|  
|  
Line 1,206: Line 1,209:
| 90
| 90
| 0–7–11–20
| 0–7–11–20
| 1–7/6–7/5–14/11
| 1–7/6–14/11–7/5
| Utonal
| Utonal
|  
|  
Line 1,213: Line 1,216:
| 91
| 91
| 0–9–11–20
| 0–9–11–20
| 1–9/5–7/5–14/11
| 1–7/5–14/11–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 1,220: Line 1,223:
| 92
| 92
| 0–10–11–20
| 0–10–11–20
| 1–9/8–7/5–14/11
| 1–9/8–14/11–7/5
| Apollo
| Apollo
|  
|  
Line 1,227: Line 1,230:
| 93
| 93
| 0–2–12–20
| 0–2–12–20
| 1–14/9–7/4–14/11
| 1–14/11–14/9–7/4
| Utonal
| Utonal
|  
|  
Line 1,234: Line 1,237:
| 94
| 94
| 0–7–12–20
| 0–7–12–20
| 1–7/6–7/4–14/11
| 1–7/6–14/11–7/4
| Utonal
| Utonal
|  
|  
Line 1,241: Line 1,244:
| 95
| 95
| 0–8–12–20
| 0–8–12–20
| 1–16/11–7/4–14/11
| 1–14/11–16/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,248: Line 1,251:
| 96
| 96
| 0–10–12–20
| 0–10–12–20
| 1–9/8–7/4–14/11
| 1–9/8–14/11–7/4
| Pentacircle
| Pentacircle
|  
|  
Line 1,255: Line 1,258:
| 97
| 97
| 0–11–12–20
| 0–11–12–20
| 1–7/5–7/4–14/11
| 1–14/11–7/5–7/4
| Utonal
| Utonal
|  
|  
Line 1,262: Line 1,265:
| 98
| 98
| 0–2–13–20
| 0–2–13–20
| 1–14/9–12/11–14/11
| 1–12/11–14/11–14/9
| Swetismic
| Swetismic
|  
|  
Line 1,269: Line 1,272:
| 99
| 99
| 0–8–13–20
| 0–8–13–20
| 1–16/11–12/11–14/11
| 1–12/11–14/11–16/11
| Otonal
| Otonal
|  
|  
Line 1,276: Line 1,279:
| 100
| 100
| 0–9–13–20
| 0–9–13–20
| 1–20/11–12/11–14/11
| 1–12/11–14/11–20/11
| Otonal
| Otonal
|  
|  
Line 1,283: Line 1,286:
| 101
| 101
| 0–11–13–20
| 0–11–13–20
| 1–7/5–12/11–14/11
| 1–12/11–14/11–7/5
| Octarod
| Octarod
|  
|  
Line 1,290: Line 1,293:
| 102
| 102
| 0–12–13–20
| 0–12–13–20
| 1–7/4–12/11–14/11
| 1–12/11–14/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,297: Line 1,300:
| 103
| 103
| 0–7–18–20
| 0–7–18–20
| 1–7/6–18/11–14/11
| 1–7/6–14/11–18/11
| Swetismic
| Swetismic
|  
|  
Line 1,304: Line 1,307:
| 104
| 104
| 0–8–18–20
| 0–8–18–20
| 1–16/11–18/11–14/11
| 1–14/11–16/11–18/11
| Otonal
| Otonal
|  
|  
Line 1,311: Line 1,314:
| 105
| 105
| 0–9–18–20
| 0–9–18–20
| 1–20/11–18/11–14/11
| 1–14/11–18/11–20/11
| Otonal
| Otonal
|  
|  
Line 1,318: Line 1,321:
| 106
| 106
| 0–10–18–20
| 0–10–18–20
| 1–9/8–18/11–14/11
| 1–9/8–14/11–18/11
| Pentacircle
| Pentacircle
|  
|  
Line 1,325: Line 1,328:
| 107
| 107
| 0–11–18–20
| 0–11–18–20
| 1–7/5–18/11–14/11
| 1–14/11–7/5–18/11
| Octarod
| Octarod
|  
|  
Line 1,332: Line 1,335:
| 108
| 108
| 0–13–18–20
| 0–13–18–20
| 1–12/11–18/11–14/11
| 1–12/11–14/11–18/11
| Otonal
| Otonal
|  
|  
Line 1,350: Line 1,353:
| 1
| 1
| 0–1–2–9–10
| 0–1–2–9–10
| 1–5/4–14/9–9/5–9/8
| 1–9/8–5/4–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,357: Line 1,360:
| 2
| 2
| 0–1–5–9–10
| 0–1–5–9–10
| 1–5/4–3/2–9/5–9/8
| 1–9/8–5/4–3/2–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 1,364: Line 1,367:
| 3
| 3
| 0–1–8–9–10
| 0–1–8–9–10
| 1–5/4–16/11–9/5–9/8
| 1–9/8–5/4–16/11–9/5
| Magic
| Magic
|  
|  
Line 1,371: Line 1,374:
| 4
| 4
| 0–1–2–9–11
| 0–1–2–9–11
| 1–5/4–14/9–9/5–7/5
| 1–5/4–7/5–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,378: Line 1,381:
| 5
| 5
| 0–2–4–9–11
| 0–2–4–9–11
| 1–14/9–6/5–9/5–7/5
| 1–6/5–7/5–14/9–9/5
| Sensamagic
| Sensamagic
|  
|  
Line 1,385: Line 1,388:
| 6
| 6
| 0–2–7–9–11
| 0–2–7–9–11
| 1–14/9–7/6–9/5–7/5
| 1–7/6–7/5–14/9–9/5
| Sensamagic
| Sensamagic
|  
|  
Line 1,392: Line 1,395:
| 7
| 7
| 0–1–2–10–11
| 0–1–2–10–11
| 1–5/4–14/9–9/8–7/5
| 1–9/8–5/4–7/5–14/9
| Apollo
| Apollo
|  
|  
Line 1,399: Line 1,402:
| 8
| 8
| 0–1–9–10–11
| 0–1–9–10–11
| 1–5/4–9/5–9/8–7/5
| 1–9/8–5/4–7/5–9/5
| Apollo
| Apollo
|  
|  
Line 1,406: Line 1,409:
| 9
| 9
| 0–2–9–10–11
| 0–2–9–10–11
| 1–14/9–9/5–9/8–7/5
| 1–9/8–7/5–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,413: Line 1,416:
| 10
| 10
| 0–1–2–10–12
| 0–1–2–10–12
| 1–5/4–14/9–9/8–7/4
| 1–9/8–5/4–14/9–7/4
| Apollo
| Apollo
|  
|  
Line 1,420: Line 1,423:
| 11
| 11
| 0–1–5–10–12
| 0–1–5–10–12
| 1–5/4–3/2–9/8–7/4
| 1–9/8–5/4–3/2–7/4
| Otonal
| Otonal
| [[4:5:6:7:9]]
| [[4:5:6:7:9]]
Line 1,427: Line 1,430:
| 12
| 12
| 0–1–8–10–12
| 0–1–8–10–12
| 1–5/4–16/11–9/8–7/4
| 1–9/8–5/4–16/11–7/4
| Sensamagic11
| Sensamagic11
|  
|  
Line 1,434: Line 1,437:
| 13
| 13
| 0–1–2–11–12
| 0–1–2–11–12
| 1–5/4–14/9–7/5–7/4
| 1–5/4–7/5–14/9–7/4
| Marvel
| Marvel
|  
|  
Line 1,441: Line 1,444:
| 14
| 14
| 0–2–4–11–12
| 0–2–4–11–12
| 1–14/9–6/5–7/5–7/4
| 1–6/5–7/5–14/9–7/4
| Sensamagic11
| Sensamagic11
|  
|  
Line 1,448: Line 1,451:
| 15
| 15
| 0–2–7–11–12
| 0–2–7–11–12
| 1–14/9–7/6–7/5–7/4
| 1–7/6–7/5–14/9–7/4
| Utonal
| Utonal
| [[210:252:315:360:560|1/(24:20:16:14:9)]]
| [[210:252:315:360:560|1/(24:20:16:14:9)]]
Line 1,455: Line 1,458:
| 16
| 16
| 0–1–10–11–12
| 0–1–10–11–12
| 1–5/4–9/8–7/5–7/4
| 1–9/8–5/4–7/5–7/4
| Marvel
| Marvel
|  
|  
Line 1,462: Line 1,465:
| 17
| 17
| 0–2–10–11–12
| 0–2–10–11–12
| 1–14/9–9/8–7/5–7/4
| 1–9/8–7/5–14/9–7/4
| Apollo
| Apollo
|  
|  
Line 1,469: Line 1,472:
| 18
| 18
| 0–1–2–9–13
| 0–1–2–9–13
| 1–5/4–14/9–9/5–12/11
| 1–12/11–5/4–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,476: Line 1,479:
| 19
| 19
| 0–2–4–9–13
| 0–2–4–9–13
| 1–14/9–6/5–9/5–12/11
| 1–12/11–6/5–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,483: Line 1,486:
| 20
| 20
| 0–1–5–9–13
| 0–1–5–9–13
| 1–5/4–3/2–9/5–12/11
| 1–12/11–5/4–3/2–9/5
| Keemic
| Keemic
|  
|  
Line 1,490: Line 1,493:
| 21
| 21
| 0–4–5–9–13
| 0–4–5–9–13
| 1–6/5–3/2–9/5–12/11
| 1–12/11–6/5–3/2–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 1,497: Line 1,500:
| 22
| 22
| 0–1–8–9–13
| 0–1–8–9–13
| 1–5/4–16/11–9/5–12/11
| 1–12/11–5/4–16/11–9/5
| Keemic
| Keemic
|  
|  
Line 1,504: Line 1,507:
| 23
| 23
| 0–4–8–9–13
| 0–4–8–9–13
| 1–6/5–16/11–9/5–12/11
| 1–12/11–6/5–16/11–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 1,511: Line 1,514:
| 24
| 24
| 0–1–2–11–13
| 0–1–2–11–13
| 1–5/4–14/9–7/5–12/11
| 1–12/11–5/4–7/5–14/9
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,518: Line 1,521:
| 25
| 25
| 0–2–4–11–13
| 0–2–4–11–13
| 1–14/9–6/5–7/5–12/11
| 1–12/11–6/5–7/5–14/9
| Octarod
| Octarod
|  
|  
Line 1,525: Line 1,528:
| 26
| 26
| 0–1–9–11–13
| 0–1–9–11–13
| 1–5/4–9/5–7/5–12/11
| 1–12/11–5/4–7/5–9/5
| Magic
| Magic
|  
|  
Line 1,532: Line 1,535:
| 27
| 27
| 0–2–9–11–13
| 0–2–9–11–13
| 1–14/9–9/5–7/5–12/11
| 1–12/11–7/5–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,539: Line 1,542:
| 28
| 28
| 0–4–9–11–13
| 0–4–9–11–13
| 1–6/5–9/5–7/5–12/11
| 1–12/11–6/5–7/5–9/5
| Octarod
| Octarod
|  
|  
Line 1,546: Line 1,549:
| 29
| 29
| 0–1–2–12–13
| 0–1–2–12–13
| 1–5/4–14/9–7/4–12/11
| 1–12/11–5/4–14/9–7/4
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,553: Line 1,556:
| 30
| 30
| 0–2–4–12–13
| 0–2–4–12–13
| 1–14/9–6/5–7/4–12/11
| 1–12/11–6/5–14/9–7/4
| Magic
| Magic
|  
|  
Line 1,560: Line 1,563:
| 31
| 31
| 0–1–5–12–13
| 0–1–5–12–13
| 1–5/4–3/2–7/4–12/11
| 1–12/11–5/4–3/2–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,567: Line 1,570:
| 32
| 32
| 0–4–5–12–13
| 0–4–5–12–13
| 1–6/5–3/2–7/4–12/11
| 1–12/11–6/5–3/2–7/4
| Keemic
| Keemic
|  
|  
Line 1,574: Line 1,577:
| 33
| 33
| 0–1–8–12–13
| 0–1–8–12–13
| 1–5/4–16/11–7/4–12/11
| 1–12/11–5/4–16/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,581: Line 1,584:
| 34
| 34
| 0–4–8–12–13
| 0–4–8–12–13
| 1–6/5–16/11–7/4–12/11
| 1–12/11–6/5–16/11–7/4
| Keemic
| Keemic
|  
|  
Line 1,588: Line 1,591:
| 35
| 35
| 0–1–11–12–13
| 0–1–11–12–13
| 1–5/4–7/5–7/4–12/11
| 1–12/11–5/4–7/5–7/4
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,595: Line 1,598:
| 36
| 36
| 0–2–11–12–13
| 0–2–11–12–13
| 1–14/9–7/5–7/4–12/11
| 1–12/11–7/5–14/9–7/4
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,602: Line 1,605:
| 37
| 37
| 0–4–11–12–13
| 0–4–11–12–13
| 1–6/5–7/5–7/4–12/11
| 1–12/11–6/5–7/5–7/4
| Magic
| Magic
|  
|  
Line 1,609: Line 1,612:
| 38
| 38
| 0–5–7–9–18
| 0–5–7–9–18
| 1–3/2–7/6–9/5–18/11
| 1–7/6–3/2–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,616: Line 1,619:
| 39
| 39
| 0–7–8–9–18
| 0–7–8–9–18
| 1–7/6–16/11–9/5–18/11
| 1–7/6–16/11–18/11–9/5
| Magic
| Magic
|  
|  
Line 1,623: Line 1,626:
| 40
| 40
| 0–5–9–10–18
| 0–5–9–10–18
| 1–3/2–9/5–9/8–18/11
| 1–9/8–3/2–18/11–9/5
| Utonal
| Utonal
| [[330:396:495:720:880|1/(24:20:16:11:9)]]
| [[330:396:495:720:880|1/(24:20:16:11:9)]]
Line 1,630: Line 1,633:
| 41
| 41
| 0–8–9–10–18
| 0–8–9–10–18
| 1–16/11–9/5–9/8–18/11
| 1–9/8–16/11–18/11–9/5
| Apollo
| Apollo
|  
|  
Line 1,637: Line 1,640:
| 42
| 42
| 0–7–9–11–18
| 0–7–9–11–18
| 1–7/6–9/5–7/5–18/11
| 1–7/6–7/5–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,644: Line 1,647:
| 43
| 43
| 0–9–10–11–18
| 0–9–10–11–18
| 1–9/5–9/8–7/5–18/11
| 1–9/8–7/5–18/11–9/5
| Magic
| Magic
|  
|  
Line 1,651: Line 1,654:
| 44
| 44
| 0–5–9–13–18
| 0–5–9–13–18
| 1–3/2–9/5–12/11–18/11
| 1–3/2–12/11–18/11–9/5
| Ptolemismic
| Ptolemismic
|  
|  
Line 1,658: Line 1,661:
| 45
| 45
| 0–8–9–13–18
| 0–8–9–13–18
| 1–16/11–20/11–12/11–18/11
| 1–12/11–16/11–18/11–20/11
| Otonal
| Otonal
| [[4:5:6:9:11]]
| [[4:5:6:9:11]]
Line 1,665: Line 1,668:
| 46
| 46
| 0–9–11–13–18
| 0–9–11–13–18
| 1–9/5–7/5–12/11–18/11
| 1–7/5–12/11–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,672: Line 1,675:
| 47
| 47
| 0–2–7–9–20
| 0–2–7–9–20
| 1–14/9–7/6–9/5–14/11
| 1–7/6–14/11–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,679: Line 1,682:
| 48
| 48
| 0–7–8–9–20
| 0–7–8–9–20
| 1–7/6–16/11–9/5–14/11
| 1–7/6–14/11–16/11–9/5
| Magic
| Magic
|  
|  
Line 1,686: Line 1,689:
| 49
| 49
| 0–2–9–10–20
| 0–2–9–10–20
| 1–14/9–9/5–9/8–14/11
| 1–9/8–14/11–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,693: Line 1,696:
| 50
| 50
| 0–8–9–10–20
| 0–8–9–10–20
| 1–16/11–9/5–9/8–14/11
| 1–9/8–14/11–16/11–9/5
| Apollo
| Apollo
|  
|  
Line 1,700: Line 1,703:
| 51
| 51
| 0–2–7–11–20
| 0–2–7–11–20
| 1–14/9–7/6–7/5–14/11
| 1–7/6–7/5–14/11–14/9
| Utonal
| Utonal
| [[1155:1386:1980:2520:3080|1/(24:20:14:11:9)]]
| [[1155:1386:1980:2520:3080|1/(24:20:14:11:9)]]
Line 1,707: Line 1,710:
| 52
| 52
| 0–2–9–11–20
| 0–2–9–11–20
| 1–14/9–9/5–7/5–14/11
| 1–14/11–7/5–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,714: Line 1,717:
| 53
| 53
| 0–7–9–11–20
| 0–7–9–11–20
| 1–7/6–9/5–7/5–14/11
| 1–7/6–14/11–7/5–9/5
| Octarod
| Octarod
|  
|  
Line 1,721: Line 1,724:
| 54
| 54
| 0–2–10–11–20
| 0–2–10–11–20
| 1–14/9–9/8–7/5–14/11
| 1–9/8–14/11–7/5–14/9
| Apollo
| Apollo
|  
|  
Line 1,728: Line 1,731:
| 55
| 55
| 0–9–10–11–20
| 0–9–10–11–20
| 1–9/5–9/8–7/5–14/11
| 1–9/8–14/11–7/5–9/5
| Apollo
| Apollo
|  
|  
Line 1,735: Line 1,738:
| 56
| 56
| 0–2–7–12–20
| 0–2–7–12–20
| 1–14/9–7/6–7/4–14/11
| 1–7/6–14/11–14/9–7/4
| Utonal
| Utonal
| [[462:693:792:1008:1232|1/(24:16:14:11:9)]]
| [[462:693:792:1008:1232|1/(24:16:14:11:9)]]
Line 1,742: Line 1,745:
| 57
| 57
| 0–7–8–12–20
| 0–7–8–12–20
| 1–7/6–16/11–7/4–14/11
| 1–7/6–14/11–16/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,749: Line 1,752:
| 58
| 58
| 0–2–10–12–20
| 0–2–10–12–20
| 1–14/9–9/8–7/4–14/11
| 1–9/8–14/11–14/9–7/4
| Pentacircle
| Pentacircle
|  
|  
Line 1,756: Line 1,759:
| 59
| 59
| 0–8–10–12–20
| 0–8–10–12–20
| 1–16/11–9/8–7/4–14/11
| 1–9/8–14/11–16/11–7/4
| Sensamagic11
| Sensamagic11
|  
|  
Line 1,763: Line 1,766:
| 60
| 60
| 0–2–11–12–20
| 0–2–11–12–20
| 1–14/9–7/5–7/4–14/11
| 1–14/11–7/5–14/9–7/4
| Utonal
| Utonal
| [[924:1155:1320:2016:2464|1/(20:16:14:11:9)]]
| [[924:1155:1320:2016:2464|1/(20:16:14:11:9)]]
Line 1,770: Line 1,773:
| 61
| 61
| 0–7–11–12–20
| 0–7–11–12–20
| 1–7/6–7/5–7/4–14/11
| 1–7/6–14/11–7/5–7/4
| Utonal
| Utonal
| [[770:924:1155:1320:1680|1/(24:20:16:14:11)]]
| [[770:924:1155:1320:1680|1/(24:20:16:14:11)]]
Line 1,777: Line 1,780:
| 62
| 62
| 0–10–11–12–20
| 0–10–11–12–20
| 1–9/8–7/5–7/4–14/11
| 1–9/8–14/11–7/5–7/4
| Apollo
| Apollo
|  
|  
Line 1,784: Line 1,787:
| 63
| 63
| 0–2–9–13–20
| 0–2–9–13–20
| 1–14/9–9/5–12/11–14/11
| 1–12/11–14/11–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,791: Line 1,794:
| 64
| 64
| 0–8–9–13–20
| 0–8–9–13–20
| 1–16/11–20/11–12/11–14/11
| 1–12/11–14/11–16/11–20/11
| Otonal
| Otonal
| [[4:5:6:7:11]]
| [[4:5:6:7:11]]
Line 1,798: Line 1,801:
| 65
| 65
| 0–2–11–13–20
| 0–2–11–13–20
| 1–14/9–7/5–12/11–14/11
| 1–12/11–14/11–7/5–14/9
| Octarod
| Octarod
|  
|  
Line 1,805: Line 1,808:
| 66
| 66
| 0–9–11–13–20
| 0–9–11–13–20
| 1–9/5–7/5–12/11–14/11
| 1–12/11–14/11–7/5–9/5
| Octarod
| Octarod
|  
|  
Line 1,812: Line 1,815:
| 67
| 67
| 0–2–12–13–20
| 0–2–12–13–20
| 1–14/9–7/4–12/11–14/11
| 1–12/11–14/11–14/9–7/4
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,819: Line 1,822:
| 68
| 68
| 0–8–12–13–20
| 0–8–12–13–20
| 1–16/11–7/4–12/11–14/11
| 1–12/11–14/11–16/11–7/4
| Keenanismic
| Keenanismic
|  
|  
Line 1,826: Line 1,829:
| 69
| 69
| 0–11–12–13–20
| 0–11–12–13–20
| 1–7/5–7/4–12/11–14/11
| 1–12/11–14/11–7/5–7/4
| Magic
| Magic
|  
|  
Line 1,833: Line 1,836:
| 70
| 70
| 0–7–8–18–20
| 0–7–8–18–20
| 1–7/6–16/11–18/11–14/11
| 1–7/6–14/11–16/11–18/11
| Unimarvel
| Marvel11
|  
|  
|  
|  
Line 1,840: Line 1,843:
| 71
| 71
| 0–7–9–18–20
| 0–7–9–18–20
| 1–7/6–9/5–18/11–14/11
| 1–7/6–14/11–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,847: Line 1,850:
| 72
| 72
| 0–8–9–18–20
| 0–8–9–18–20
| 1–16/11–20/11–18/11–14/11
| 1–14/11–16/11–18/11–20/11
| Otonal
| Otonal
| [[4:5:7:9:11]]
| [[4:5:7:9:11]]
Line 1,854: Line 1,857:
| 73
| 73
| 0–8–10–18–20
| 0–8–10–18–20
| 1–16/11–9/8–18/11–14/11
| 1–9/8–14/11–16/11–18/11
| Pentacircle
| Pentacircle
|  
|  
Line 1,861: Line 1,864:
| 74
| 74
| 0–9–10–18–20
| 0–9–10–18–20
| 1–9/5–9/8–18/11–14/11
| 1–9/8–14/11–18/11–9/5
| Apollo
| Apollo
|  
|  
Line 1,868: Line 1,871:
| 75
| 75
| 0–7–11–18–20
| 0–7–11–18–20
| 1–7/6–7/5–18/11–14/11
| 1–7/6–14/11–7/5–18/11
| Octarod
| Octarod
|  
|  
Line 1,875: Line 1,878:
| 76
| 76
| 0–9–11–18–20
| 0–9–11–18–20
| 1–9/5–7/5–18/11–14/11
| 1–14/11–7/5–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 1,882: Line 1,885:
| 77
| 77
| 0–10–11–18–20
| 0–10–11–18–20
| 1–9/8–7/5–18/11–14/11
| 1–9/8–14/11–7/5–18/11
| Magic
| Magic
|  
|  
Line 1,889: Line 1,892:
| 78
| 78
| 0–8–13–18–20
| 0–8–13–18–20
| 1–16/11–12/11–18/11–14/11
| 1–12/11–14/11–16/11–18/11
| Otonal
| Otonal
| [[4:6:7:9:11]]
| [[4:6:7:9:11]]
Line 1,896: Line 1,899:
| 79
| 79
| 0–9–13–18–20
| 0–9–13–18–20
| 1–20/11–12/11–18/11–14/11
| 1–12/11–14/11–18/11–20/11
| Otonal
| Otonal
| [[5:6:7:9:11]]
| [[5:6:7:9:11]]
Line 1,903: Line 1,906:
| 80
| 80
| 0–11–13–18–20
| 0–11–13–18–20
| 1–7/5–12/11–18/11–14/11
| 1–12/11–14/11–7/5–18/11
| Octarod
| Octarod
|  
|  
Line 1,920: Line 1,923:
| 1
| 1
| 0–1–2–9–10–11
| 0–1–2–9–10–11
| 1–5/4–14/9–9/5–9/8–7/5
| 1–9/8–5/4–7/5–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,926: Line 1,929:
| 2
| 2
| 0–1–2–10–11–12
| 0–1–2–10–11–12
| 1–5/4–14/9–9/8–7/5–7/4
| 1–9/8–5/4–7/5–14/9–7/4
| Apollo
| Apollo
|  
|  
Line 1,932: Line 1,935:
| 3
| 3
| 0–1–2–9–11–13
| 0–1–2–9–11–13
| 1–5/4–14/9–9/5–7/5–12/11
| 1–12/11–5/4–7/5–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,938: Line 1,941:
| 4
| 4
| 0–2–4–9–11–13
| 0–2–4–9–11–13
| 1–14/9–6/5–9/5–7/5–12/11
| 1–12/11–6/5–7/5–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,944: Line 1,947:
| 5
| 5
| 0–1–2–11–12–13
| 0–1–2–11–12–13
| 1–5/4–14/9–7/5–7/4–12/11
| 1–12/11–5/4–7/5–14/9–7/4
| Unimarvel
| Marvel11
|  
|  
|-
|-
| 6
| 6
| 0–2–4–11–12–13
| 0–2–4–11–12–13
| 1–14/9–6/5–7/5–7/4–12/11
| 1–12/11–6/5–7/5–14/9–7/4
| Magic
| Magic
|  
|  
Line 1,956: Line 1,959:
| 7
| 7
| 0–2–7–9–11–20
| 0–2–7–9–11–20
| 1–14/9–7/6–9/5–7/5–14/11
| 1–7/6–14/11–7/5–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,962: Line 1,965:
| 8
| 8
| 0–2–9–10–11–20
| 0–2–9–10–11–20
| 1–14/9–9/5–9/8–7/5–14/11
| 1–9/8–14/11–7/5–14/9–9/5
| Magic
| Magic
|  
|  
Line 1,968: Line 1,971:
| 9
| 9
| 0–2–7–11–12–20
| 0–2–7–11–12–20
| 1–14/9–7/6–7/5–7/4–14/11
| 1–14/11–7/6–7/5–14/9–7/4
| Utonal
| Utonal
| [[2310:2772:3465:3960:5040:6160|1/(24:20:16:14:11:9)]]
| [[2310:2772:3465:3960:5040:6160|1/(24:20:16:14:11:9)]]
Line 1,974: Line 1,977:
| 10
| 10
| 0–2–10–11–12–20
| 0–2–10–11–12–20
| 1–14/9–9/8–7/5–7/4–14/11
| 1–9/8–14/11–7/5–14/9–7/4
| Apollo
| Apollo
|  
|  
Line 1,980: Line 1,983:
| 11
| 11
| 0–2–9–11–13–20
| 0–2–9–11–13–20
| 1–14/9–9/5–7/5–12/11–14/11
| 1–12/11–14/11–7/5–14/9–9/5
| Octarod
| Octarod
|  
|  
Line 1,986: Line 1,989:
| 12
| 12
| 0–2–11–12–13–20
| 0–2–11–12–13–20
| 1–14/9–7/5–7/4–12/11–14/11
| 1–12/11–14/11–7/5–14/9–7/4
| Magic
| Magic
|  
|  
Line 1,992: Line 1,995:
| 13
| 13
| 0–7–8–9–18–20
| 0–7–8–9–18–20
| 1–7/6–16/11–9/5–18/11–14/11
| 1–7/6–14/11–16/11–18/11–9/5
| Magic
| Magic
|  
|  
Line 1,998: Line 2,001:
| 14
| 14
| 0–8–9–10–18–20
| 0–8–9–10–18–20
| 1–16/11–9/5–9/8–18/11–14/11
| 1–9/8–14/11–16/11–18/11–9/5
| Apollo
| Apollo
|  
|  
Line 2,004: Line 2,007:
| 15
| 15
| 0–7–9–11–18–20
| 0–7–9–11–18–20
| 1–7/6–9/5–7/5–18/11–14/11
| 1–7/6–14/11–7/5–18/11–9/5
| Octarod
| Octarod
|  
|  
Line 2,010: Line 2,013:
| 16
| 16
| 0–9–10–11–18–20
| 0–9–10–11–18–20
| 1–9/5–9/8–7/5–18/11–14/11
| 1–9/8–14/11–7/5–18/11–9/5
| Magic
| Magic
|  
|  
Line 2,016: Line 2,019:
| 17
| 17
| 0–8–9–13–18–20
| 0–8–9–13–18–20
| 1–16/11–20/11–12/11–18/11–14/11
| 1–12/11–14/11–16/11–18/11–20/11
| Otonal
| Otonal
| [[4:5:6:7:9:11]]
| [[4:5:6:7:9:11]]
Line 2,022: Line 2,025:
| 18
| 18
| 0–9–11–13–18–20
| 0–9–11–13–18–20
| 1–9/5–7/5–12/11–18/11–14/11
| 1–12/11–14/11–7/5–18/11–9/5
| Octarod
| Octarod
|  
|