Chords of magic: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
m Improve linking
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
adding chord names -- work in progress
Line 4: Line 4:


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.
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.
The chord names use ups and downs as described on the pergens page. The generator is vM3 and the enharmonic interval is ^<sup>5</sup>dd2. To simplify the names, lifts and drops are also used. One lift is 41 generators (41 because 41edo is a near-optimal tuning of magic). Thus /1 = vd-2 = 8.2c - 20¢, i.e. a pyth comma minus an up.


== Triads ==
== Triads ==
Line 13: Line 15:
! Transversal
! Transversal
! Type
! Type
!name
!name with / \
!comments
|-
|-
| 1
| 1
Line 18: Line 23:
| 1-5/4-14/9
| 1-5/4-14/9
| marvel
| marvel
|v(vv#5)
|
|
|-
|-
| 2
| 2
Line 23: Line 31:
| 1-14/9-6/5
| 1-14/9-6/5
| sensamagic
| sensamagic
|^m(vv#5)
|
|
|-
|-
| 3
| 3
Line 28: Line 39:
| 1-5/4-3/2
| 1-5/4-3/2
| otonal
| otonal
|v
|
|
|-
|-
| 4
| 4
Line 33: Line 47:
| 1-6/5-3/2
| 1-6/5-3/2
| utonal
| utonal
|^m
|
|
|-
|-
| 5
| 5
Line 38: Line 55:
| 1-14/9-7/6
| 1-14/9-7/6
| utonal
| utonal
|vvvA3
|^/
|1-9/7-3/2, vvvA3 = ^^d4
|-
|-
| 6
| 6
Line 43: Line 63:
| 1-3/2-7/6
| 1-3/2-7/6
| otonal
| otonal
|^^^d3
|v\m
|^^^d3 = vvA2
|-
|-
| 7
| 7
Line 48: Line 71:
| 1-5/4-16/11
| 1-5/4-16/11
| keenanismic
| keenanismic
|v(^^b5)
|
|
|-
|-
| 8
| 8
Line 53: Line 79:
| 1-6/5-16/11
| 1-6/5-16/11
| ptolemismic
| ptolemismic
|^m(^^b5)
|
|
|-
|-
| 9
| 9
Line 58: Line 87:
| 1-7/6-16/11
| 1-7/6-16/11
| keenanismic
| keenanismic
|^^^d3(^^b5)
|v\m(^^b5)
|^^^d3 = vvA2
|-
|-
| 10
| 10
Line 63: Line 95:
| 1-5/4-20/11
| 1-5/4-20/11
| utonal
| utonal
|v^7no5
|
|
|-
|-
| 11
| 11
Line 68: Line 103:
| 1-14/9-9/5
| 1-14/9-9/5
| sensamagic
| sensamagic
|
|
|
|-
|-
| 12
| 12
Line 73: Line 111:
| 1-6/5-9/5
| 1-6/5-9/5
| otonal
| otonal
|^m7no5
|
|<u>or</u> 1-3/2-5/3 =  v6no3
|-
|-
| 13
| 13
Line 78: Line 119:
| 1-3/2-9/5
| 1-3/2-9/5
| utonal
| utonal
|^m7no3
|
|
|-
|-
| 14
| 14
Line 83: Line 127:
| 1-7/6-9/5
| 1-7/6-9/5
| sensamagic
| sensamagic
|^^^d3v7no5
|
|^^^d3 = vvA2
|-
|-
| 15
| 15
Line 88: Line 135:
| 1-16/11-20/11
| 1-16/11-20/11
| otonal
| otonal
|v(^^^bb5)
|
|1-5/4-11/8
|-
|-
| 16
| 16
Line 93: Line 143:
| 1-5/4-9/8
| 1-5/4-9/8
| otonal
| otonal
|v,9no5
|
|
|-
|-
| 17
| 17
Line 98: Line 151:
| 1-14/9-9/8
| 1-14/9-9/8
| pentacircle
| pentacircle
|2(vv#5)
|
|
|-
|-
| 18
| 18
Line 103: Line 159:
| 1-3/2-9/8
| 1-3/2-9/8
| ambitonal
| ambitonal
|2
|
|
|-
|-
| 19
| 19
Line 108: Line 167:
| 1-16/11-9/8
| 1-16/11-9/8
| pentacircle
| pentacircle
|2(^^b5)
|
|
|-
|-
| 20
| 20
Line 113: Line 175:
| 1-9/5-9/8
| 1-9/5-9/8
| utonal
| utonal
|^m9no35
|
|<u>or</u> 2^7no5
|-
|-
| 21
| 21
Line 118: Line 183:
| 1-5/4-7/5
| 1-5/4-7/5
| marvel
| marvel
|v(^<sup>4</sup>bb5)
|
|
|-
|-
| 22
| 22
Line 123: Line 191:
| 1-14/9-7/5
| 1-14/9-7/5
| utonal
| utonal
|vvvA3v7no5
|
|1-9/7-9/5
|-
|-
| 23
| 23
Line 128: Line 199:
| 1-6/5-7/5
| 1-6/5-7/5
| otonal
| otonal
|^m(vpb5)
|
|
|-
|-
| 24
| 24
Line 133: Line 207:
| 1-7/6-7/5
| 1-7/6-7/5
| utonal
| utonal
|^^^d3(vpb5)
|
|
|-
|-
| 25
| 25
Line 138: Line 215:
| 1-9/5-7/5
| 1-9/5-7/5
| otonal
| otonal
|
|
|
|-
|-
| 26
| 26
Line 143: Line 223:
| 1-9/8-7/5
| 1-9/8-7/5
| marvel
| marvel
|
|
|
|-
|-
| 27
| 27
Line 148: Line 231:
| 1-5/4-7/4
| 1-5/4-7/4
| otonal
| otonal
|
|
|
|-
|-
| 28
| 28
Line 153: Line 239:
| 1-14/9-7/4
| 1-14/9-7/4
| utonal
| utonal
|
|
|
|-
|-
| 29
| 29
Line 158: Line 247:
| 1-6/5-7/4
| 1-6/5-7/4
| keenanismic
| keenanismic
|
|
|
|-
|-
| 30
| 30
Line 163: Line 255:
| 1-3/2-7/4
| 1-3/2-7/4
| otonal
| otonal
|
|
|
|-
|-
| 31
| 31
Line 168: Line 263:
| 1-7/6-7/4
| 1-7/6-7/4
| utonal
| utonal
|
|
|
|-
|-
| 32
| 32
Line 173: Line 271:
| 1-16/11-7/4
| 1-16/11-7/4
| keenanismic
| keenanismic
|
|
|
|-
|-
| 33
| 33
Line 178: Line 279:
| 1-9/8-7/4
| 1-9/8-7/4
| otonal
| otonal
|
|
|
|-
|-
| 34
| 34
Line 183: Line 287:
| 1-7/5-7/4
| 1-7/5-7/4
| utonal
| utonal
|
|
|
|-
|-
| 35
| 35
Line 188: Line 295:
| 1-5/4-12/11
| 1-5/4-12/11
| keenanismic
| keenanismic
|
|
|
|-
|-
| 36
| 36
Line 193: Line 303:
| 1-14/9-12/11
| 1-14/9-12/11
| swetismic
| swetismic
|
|
|
|-
|-
| 37
| 37
Line 198: Line 311:
| 1-6/5-12/11
| 1-6/5-12/11
| utonal
| utonal
|
|
|
|-
|-
| 38
| 38
Line 203: Line 319:
| 1-3/2-12/11
| 1-3/2-12/11
| utonal
| utonal
|
|
|
|-
|-
| 39
| 39
Line 208: Line 327:
| 1-16/11-12/11
| 1-16/11-12/11
| otonal
| otonal
|
|
|
|-
|-
| 40
| 40
Line 213: Line 335:
| 1-20/11-12/11
| 1-20/11-12/11
| otonal
| otonal
|
|
|
|-
|-
| 41
| 41
Line 218: Line 343:
| 1-7/5-12/11
| 1-7/5-12/11
| swetismic
| swetismic
|
|
|
|-
|-
| 42
| 42
Line 223: Line 351:
| 1-7/4-12/11
| 1-7/4-12/11
| keenanismic
| keenanismic
|
|
|
|-
|-
| 43
| 43
Line 228: Line 359:
| 1-3/2-18/11
| 1-3/2-18/11
| utonal
| utonal
|
|
|
|-
|-
| 44
| 44
Line 233: Line 367:
| 1-7/6-18/11
| 1-7/6-18/11
| swetismic
| swetismic
|
|
|
|-
|-
| 45
| 45
Line 238: Line 375:
| 1-16/11-18/11
| 1-16/11-18/11
| otonal
| otonal
|
|
|
|-
|-
| 46
| 46
Line 243: Line 383:
| 1-9/5-18/11
| 1-9/5-18/11
| utonal
| utonal
|
|
|
|-
|-
| 47
| 47
Line 248: Line 391:
| 1-9/8-18/11
| 1-9/8-18/11
| utonal
| utonal
|
|
|
|-
|-
| 48
| 48
Line 253: Line 399:
| 1-7/5-18/11
| 1-7/5-18/11
| swetismic
| swetismic
|
|
|
|-
|-
| 49
| 49
Line 258: Line 407:
| 1-12/11-18/11
| 1-12/11-18/11
| otonal
| otonal
|
|
|
|-
|-
| 50
| 50
Line 263: Line 415:
| 1-14/9-14/11
| 1-14/9-14/11
| utonal
| utonal
|
|
|
|-
|-
| 51
| 51
Line 268: Line 423:
| 1-7/6-14/11
| 1-7/6-14/11
| utonal
| utonal
|
|
|
|-
|-
| 52
| 52
Line 273: Line 431:
| 1-16/11-14/11
| 1-16/11-14/11
| otonal
| otonal
|
|
|
|-
|-
| 53
| 53
Line 278: Line 439:
| 1-20/11-14/11
| 1-20/11-14/11
| otonal
| otonal
|
|
|
|-
|-
| 54
| 54
Line 283: Line 447:
| 1-9/8-14/11
| 1-9/8-14/11
| pentacircle
| pentacircle
|
|
|
|-
|-
| 55
| 55
Line 288: Line 455:
| 1-7/5-14/11
| 1-7/5-14/11
| utonal
| utonal
|
|
|
|-
|-
| 56
| 56
Line 293: Line 463:
| 1-7/4-14/11
| 1-7/4-14/11
| utonal
| utonal
|
|
|
|-
|-
| 57
| 57
Line 298: Line 471:
| 1-12/11-14/11
| 1-12/11-14/11
| otonal
| otonal
|
|
|
|-
|-
| 58
| 58
Line 303: Line 479:
| 1-18/11-14/11
| 1-18/11-14/11
| otonal
| otonal
|
|
|
|}
|}


Line 313: Line 492:
! Transversal
! Transversal
! Type
! Type
!name
!comments
|-
|-
| 1
| 1
Line 318: Line 499:
| 1-5/4-14/9-9/5
| 1-5/4-14/9-9/5
| magic
| magic
|
|
|-
|-
| 2
| 2
Line 323: Line 506:
| 1-14/9-6/5-9/5
| 1-14/9-6/5-9/5
| sensamagic
| sensamagic
|
|
|-
|-
| 3
| 3
Line 328: Line 513:
| 1-5/4-3/2-9/5
| 1-5/4-3/2-9/5
| ptolemismic
| ptolemismic
|v^7
|
|-
|-
| 4
| 4
Line 333: Line 520:
| 1-6/5-3/2-9/5
| 1-6/5-3/2-9/5
| ambitonal
| ambitonal
|^m7
|
|-
|-
| 5
| 5
Line 338: Line 527:
| 1-14/9-7/6-9/5
| 1-14/9-7/6-9/5
| sensamagic
| sensamagic
|
|1-7/6-9/7-3/2
|-
|-
| 6
| 6
Line 343: Line 534:
| 1-3/2-7/6-9/5
| 1-3/2-7/6-9/5
| sensamagic
| sensamagic
|^^^d3^7
|
|-
|-
| 7
| 7
Line 348: Line 541:
| 1-5/4-16/11-9/5
| 1-5/4-16/11-9/5
| supermagic
| supermagic
|
|
|-
|-
| 8
| 8
Line 353: Line 548:
| 1-6/5-16/11-9/5
| 1-6/5-16/11-9/5
| ptolemismic
| ptolemismic
|
|
|-
|-
| 9
| 9
Line 358: Line 555:
| 1-7/6-16/11-9/5
| 1-7/6-16/11-9/5
| magic
| magic
|
|
|-
|-
| 10
| 10
Line 363: Line 562:
| 1-5/4-14/9-9/8
| 1-5/4-14/9-9/8
| apollo
| apollo
|
|
|-
|-
| 11
| 11
Line 368: Line 569:
| 1-5/4-3/2-9/8
| 1-5/4-3/2-9/8
| otonal
| otonal
|v,9
|
|-
|-
| 12
| 12
Line 373: Line 576:
| 1-5/4-16/11-9/8
| 1-5/4-16/11-9/8
| sensamagic11
| sensamagic11
|
|
|-
|-
| 13
| 13
Line 378: Line 583:
| 1-5/4-9/5-9/8
| 1-5/4-9/5-9/8
| ptolemismic
| ptolemismic
|
|
|-
|-
| 14
| 14
Line 383: Line 590:
| 1-14/9-9/5-9/8
| 1-14/9-9/5-9/8
| sensamagic11
| sensamagic11
|
|
|-
|-
| 15
| 15
Line 388: Line 597:
| 1-3/2-9/5-9/8
| 1-3/2-9/5-9/8
| utonal
| utonal
|
|
|-
|-
| 16
| 16
Line 393: Line 604:
| 1-16/11-9/5-9/8
| 1-16/11-9/5-9/8
| apollo
| apollo
|
|
|-
|-
| 17
| 17
Line 398: Line 611:
| 1-5/4-14/9-7/5
| 1-5/4-14/9-7/5
| marvel
| marvel
|
|
|-
|-
| 18
| 18
Line 403: Line 618:
| 1-14/9-6/5-7/5
| 1-14/9-6/5-7/5
| sensamagic
| sensamagic
|
|
|-
|-
| 19
| 19
Line 408: Line 625:
| 1-14/9-7/6-7/5
| 1-14/9-7/6-7/5
| utonal
| utonal
|
|
|-
|-
| 20
| 20
Line 413: Line 632:
| 1-5/4-9/5-7/5
| 1-5/4-9/5-7/5
| apollo
| apollo
|
|
|-
|-
| 21
| 21
Line 418: Line 639:
| 1-14/9-9/5-7/5
| 1-14/9-9/5-7/5
| sensamagic
| sensamagic
|
|
|-
|-
| 22
| 22
Line 423: Line 646:
| 1-6/5-9/5-7/5
| 1-6/5-9/5-7/5
| otonal
| otonal
|
|
|-
|-
| 23
| 23
Line 428: Line 653:
| 1-7/6-9/5-7/5
| 1-7/6-9/5-7/5
| sensamagic
| sensamagic
|
|
|-
|-
| 24
| 24
Line 433: Line 660:
| 1-5/4-9/8-7/5
| 1-5/4-9/8-7/5
| marvel
| marvel
|
|
|-
|-
| 25
| 25
Line 438: Line 667:
| 1-14/9-9/8-7/5
| 1-14/9-9/8-7/5
| apollo
| apollo
|
|
|-
|-
| 26
| 26
Line 443: Line 674:
| 1-9/5-9/8-7/5
| 1-9/5-9/8-7/5
| marvel
| marvel
|
|
|-
|-
| 27
| 27
Line 448: Line 681:
| 1-5/4-14/9-7/4
| 1-5/4-14/9-7/4
| marvel
| marvel
|
|
|-
|-
| 28
| 28
Line 453: Line 688:
| 1-14/9-6/5-7/4
| 1-14/9-6/5-7/4
| sensamagic11
| sensamagic11
|
|
|-
|-
| 29
| 29
Line 458: Line 695:
| 1-5/4-3/2-7/4
| 1-5/4-3/2-7/4
| otonal
| otonal
|v^^^d7
|
|-
|-
| 30
| 30
Line 463: Line 702:
| 1-6/5-3/2-7/4
| 1-6/5-3/2-7/4
| keenanismic
| keenanismic
|
|
|-
|-
| 31
| 31
Line 468: Line 709:
| 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| utonal
| utonal
|
|
|-
|-
| 32
| 32
Line 473: Line 716:
| 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| ambitonal
| ambitonal
|
|
|-
|-
| 33
| 33
Line 478: Line 723:
| 1-5/4-16/11-7/4
| 1-5/4-16/11-7/4
| keenanismic
| keenanismic
|
|
|-
|-
| 34
| 34
Line 483: Line 730:
| 1-6/5-16/11-7/4
| 1-6/5-16/11-7/4
| supermagic
| supermagic
|
|
|-
|-
| 35
| 35
Line 488: Line 737:
| 1-7/6-16/11-7/4
| 1-7/6-16/11-7/4
| keenanismic
| keenanismic
|
|
|-
|-
| 36
| 36
Line 493: Line 744:
| 1-5/4-9/8-7/4
| 1-5/4-9/8-7/4
| otonal
| otonal
|
|
|-
|-
| 37
| 37
Line 498: Line 751:
| 1-14/9-9/8-7/4
| 1-14/9-9/8-7/4
| pentacircle
| pentacircle
|
|
|-
|-
| 38
| 38
Line 503: Line 758:
| 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| otonal
| otonal
|
|
|-
|-
| 39
| 39
Line 508: Line 765:
| 1-16/11-9/8-7/4
| 1-16/11-9/8-7/4
| sensamagic11
| sensamagic11
|
|
|-
|-
| 40
| 40
Line 513: Line 772:
| 1-5/4-7/5-7/4
| 1-5/4-7/5-7/4
| marvel
| marvel
|
|
|-
|-
| 41
| 41
Line 518: Line 779:
| 1-14/9-7/5-7/4
| 1-14/9-7/5-7/4
| utonal
| utonal
|
|
|-
|-
| 42
| 42
Line 523: Line 786:
| 1-6/5-7/5-7/4
| 1-6/5-7/5-7/4
| keenanismic
| keenanismic
|
|
|-
|-
| 43
| 43
Line 528: Line 793:
| 1-7/6-7/5-7/4
| 1-7/6-7/5-7/4
| utonal
| utonal
|
|
|-
|-
| 44
| 44
Line 533: Line 800:
| 1-9/8-7/5-7/4
| 1-9/8-7/5-7/4
| marvel
| marvel
|
|
|-
|-
| 45
| 45
Line 538: Line 807:
| 1-5/4-14/9-12/11
| 1-5/4-14/9-12/11
| unimarvel
| unimarvel
|
|
|-
|-
| 46
| 46
Line 543: Line 814:
| 1-14/9-6/5-12/11
| 1-14/9-6/5-12/11
| octarod
| octarod
|
|
|-
|-
| 47
| 47
Line 548: Line 821:
| 1-5/4-3/2-12/11
| 1-5/4-3/2-12/11
| keenanismic
| keenanismic
|
|
|-
|-
| 48
| 48
Line 553: Line 828:
| 1-6/5-3/2-12/11
| 1-6/5-3/2-12/11
| utonal
| utonal
|
|
|-
|-
| 49
| 49
Line 558: Line 835:
| 1-5/4-16/11-12/11
| 1-5/4-16/11-12/11
| keenanismic
| keenanismic
|
|
|-
|-
| 50
| 50
Line 563: Line 842:
| 1-6/5-16/11-12/11
| 1-6/5-16/11-12/11
| ptolemismic
| ptolemismic
|
|
|-
|-
| 51
| 51
Line 568: Line 849:
| 1-5/4-9/5-12/11
| 1-5/4-9/5-12/11
| supermagic
| supermagic
|
|
|-
|-
| 52
| 52
Line 573: Line 856:
| 1-14/9-9/5-12/11
| 1-14/9-9/5-12/11
| octarod
| octarod
|
|
|-
|-
| 53
| 53
Line 578: Line 863:
| 1-6/5-9/5-12/11
| 1-6/5-9/5-12/11
| ptolemismic
| ptolemismic
|
|
|-
|-
| 54
| 54
Line 583: Line 870:
| 1-3/2-9/5-12/11
| 1-3/2-9/5-12/11
| ptolemismic
| ptolemismic
|
|
|-
|-
| 55
| 55
Line 588: Line 877:
| 1-16/11-20/11-12/11
| 1-16/11-20/11-12/11
| otonal
| otonal
|
|
|-
|-
| 56
| 56
Line 593: Line 884:
| 1-5/4-7/5-12/11
| 1-5/4-7/5-12/11
| unimarvel
| unimarvel
|
|
|-
|-
| 57
| 57
Line 598: Line 891:
| 1-14/9-7/5-12/11
| 1-14/9-7/5-12/11
| swetismic
| swetismic
|
|
|-
|-
| 58
| 58
Line 603: Line 898:
| 1-6/5-7/5-12/11
| 1-6/5-7/5-12/11
| octarod
| octarod
|
|
|-
|-
| 59
| 59
Line 608: Line 905:
| 1-9/5-7/5-12/11
| 1-9/5-7/5-12/11
| octarod
| octarod
|
|
|-
|-
| 60
| 60
Line 613: Line 912:
| 1-5/4-7/4-12/11
| 1-5/4-7/4-12/11
| keenanismic
| keenanismic
|
|
|-
|-
| 61
| 61
Line 618: Line 919:
| 1-14/9-7/4-12/11
| 1-14/9-7/4-12/11
| unimarvel
| unimarvel
|
|
|-
|-
| 62
| 62
Line 623: Line 926:
| 1-6/5-7/4-12/11
| 1-6/5-7/4-12/11
| supermagic
| supermagic
|
|
|-
|-
| 63
| 63
Line 628: Line 933:
| 1-3/2-7/4-12/11
| 1-3/2-7/4-12/11
| keenanismic
| keenanismic
|
|
|-
|-
| 64
| 64
Line 633: Line 940:
| 1-16/11-7/4-12/11
| 1-16/11-7/4-12/11
| keenanismic
| keenanismic
|
|
|-
|-
| 65
| 65
Line 638: Line 947:
| 1-7/5-7/4-12/11
| 1-7/5-7/4-12/11
| unimarvel
| unimarvel
|
|
|-
|-
| 66
| 66
Line 643: Line 954:
| 1-3/2-7/6-18/11
| 1-3/2-7/6-18/11
| swetismic
| swetismic
|
|
|-
|-
| 67
| 67
Line 648: Line 961:
| 1-7/6-16/11-18/11
| 1-7/6-16/11-18/11
| unimarvel
| unimarvel
|
|
|-
|-
| 68
| 68
Line 653: Line 968:
| 1-3/2-9/5-18/11
| 1-3/2-9/5-18/11
| utonal
| utonal
|
|
|-
|-
| 69
| 69
Line 658: Line 975:
| 1-7/6-9/5-18/11
| 1-7/6-9/5-18/11
| octarod
| octarod
|
|
|-
|-
| 70
| 70
Line 663: Line 982:
| 1-16/11-20/11-18/11
| 1-16/11-20/11-18/11
| otonal
| otonal
|
|
|-
|-
| 71
| 71
Line 668: Line 989:
| 1-3/2-9/8-18/11
| 1-3/2-9/8-18/11
| utonal
| utonal
|
|
|-
|-
| 72
| 72
Line 673: Line 996:
| 1-16/11-9/8-18/11
| 1-16/11-9/8-18/11
| pentacircle
| pentacircle
|
|
|-
|-
| 73
| 73
Line 678: Line 1,003:
| 1-9/5-9/8-18/11
| 1-9/5-9/8-18/11
| utonal
| utonal
|
|
|-
|-
| 74
| 74
Line 683: Line 1,010:
| 1-7/6-7/5-18/11
| 1-7/6-7/5-18/11
| swetismic
| swetismic
|
|
|-
|-
| 75
| 75
Line 688: Line 1,017:
| 1-9/5-7/5-18/11
| 1-9/5-7/5-18/11
| octarod
| octarod
|
|
|-
|-
| 76
| 76
Line 693: Line 1,024:
| 1-9/8-7/5-18/11
| 1-9/8-7/5-18/11
| unimarvel
| unimarvel
|
|
|-
|-
| 77
| 77
Line 698: Line 1,031:
| 1-3/2-12/11-18/11
| 1-3/2-12/11-18/11
| ambitonal
| ambitonal
|
|
|-
|-
| 78
| 78
Line 703: Line 1,038:
| 1-16/11-12/11-18/11
| 1-16/11-12/11-18/11
| otonal
| otonal
|
|
|-
|-
| 79
| 79
Line 708: Line 1,045:
| 1-20/11-12/11-18/11
| 1-20/11-12/11-18/11
| otonal
| otonal
|
|
|-
|-
| 80
| 80
Line 713: Line 1,052:
| 1-7/5-12/11-18/11
| 1-7/5-12/11-18/11
| swetismic
| swetismic
|
|
|-
|-
| 81
| 81
Line 718: Line 1,059:
| 1-14/9-7/6-14/11
| 1-14/9-7/6-14/11
| utonal
| utonal
|
|
|-
|-
| 82
| 82
Line 723: Line 1,066:
| 1-7/6-16/11-14/11
| 1-7/6-16/11-14/11
| keenanismic
| keenanismic
|
|
|-
|-
| 83
| 83
Line 728: Line 1,073:
| 1-14/9-9/5-14/11
| 1-14/9-9/5-14/11
| octarod
| octarod
|
|
|-
|-
| 84
| 84
Line 733: Line 1,080:
| 1-7/6-9/5-14/11
| 1-7/6-9/5-14/11
| octarod
| octarod
|
|
|-
|-
| 85
| 85
Line 738: Line 1,087:
| 1-16/11-20/11-14/11
| 1-16/11-20/11-14/11
| otonal
| otonal
|
|
|-
|-
| 86
| 86
Line 743: Line 1,094:
| 1-14/9-9/8-14/11
| 1-14/9-9/8-14/11
| pentacircle
| pentacircle
|
|
|-
|-
| 87
| 87
Line 748: Line 1,101:
| 1-16/11-9/8-14/11
| 1-16/11-9/8-14/11
| pentacircle
| pentacircle
|
|
|-
|-
| 88
| 88
Line 753: Line 1,108:
| 1-9/5-9/8-14/11
| 1-9/5-9/8-14/11
| apollo
| apollo
|
|
|-
|-
| 89
| 89
Line 758: Line 1,115:
| 1-14/9-7/5-14/11
| 1-14/9-7/5-14/11
| utonal
| utonal
|
|
|-
|-
| 90
| 90
Line 763: Line 1,122:
| 1-7/6-7/5-14/11
| 1-7/6-7/5-14/11
| utonal
| utonal
|
|
|-
|-
| 91
| 91
Line 768: Line 1,129:
| 1-9/5-7/5-14/11
| 1-9/5-7/5-14/11
| ptolemismic
| ptolemismic
|
|
|-
|-
| 92
| 92
Line 773: Line 1,136:
| 1-9/8-7/5-14/11
| 1-9/8-7/5-14/11
| apollo
| apollo
|
|
|-
|-
| 93
| 93
Line 778: Line 1,143:
| 1-14/9-7/4-14/11
| 1-14/9-7/4-14/11
| utonal
| utonal
|
|
|-
|-
| 94
| 94
Line 783: Line 1,150:
| 1-7/6-7/4-14/11
| 1-7/6-7/4-14/11
| utonal
| utonal
|
|
|-
|-
| 95
| 95
Line 788: Line 1,157:
| 1-16/11-7/4-14/11
| 1-16/11-7/4-14/11
| keenanismic
| keenanismic
|
|
|-
|-
| 96
| 96
Line 793: Line 1,164:
| 1-9/8-7/4-14/11
| 1-9/8-7/4-14/11
| pentacircle
| pentacircle
|
|
|-
|-
| 97
| 97
Line 798: Line 1,171:
| 1-7/5-7/4-14/11
| 1-7/5-7/4-14/11
| utonal
| utonal
|
|
|-
|-
| 98
| 98
Line 803: Line 1,178:
| 1-14/9-12/11-14/11
| 1-14/9-12/11-14/11
| swetismic
| swetismic
|
|
|-
|-
| 99
| 99
Line 808: Line 1,185:
| 1-16/11-12/11-14/11
| 1-16/11-12/11-14/11
| otonal
| otonal
|
|
|-
|-
| 100
| 100
Line 813: Line 1,192:
| 1-20/11-12/11-14/11
| 1-20/11-12/11-14/11
| otonal
| otonal
|
|
|-
|-
| 101
| 101
Line 818: Line 1,199:
| 1-7/5-12/11-14/11
| 1-7/5-12/11-14/11
| octarod
| octarod
|
|
|-
|-
| 102
| 102
Line 823: Line 1,206:
| 1-7/4-12/11-14/11
| 1-7/4-12/11-14/11
| keenanismic
| keenanismic
|
|
|-
|-
| 103
| 103
Line 828: Line 1,213:
| 1-7/6-18/11-14/11
| 1-7/6-18/11-14/11
| swetismic
| swetismic
|
|
|-
|-
| 104
| 104
Line 833: Line 1,220:
| 1-16/11-18/11-14/11
| 1-16/11-18/11-14/11
| otonal
| otonal
|
|
|-
|-
| 105
| 105
Line 838: Line 1,227:
| 1-20/11-18/11-14/11
| 1-20/11-18/11-14/11
| otonal
| otonal
|
|
|-
|-
| 106
| 106
Line 843: Line 1,234:
| 1-9/8-18/11-14/11
| 1-9/8-18/11-14/11
| pentacircle
| pentacircle
|
|
|-
|-
| 107
| 107
Line 848: Line 1,241:
| 1-7/5-18/11-14/11
| 1-7/5-18/11-14/11
| octarod
| octarod
|
|
|-
|-
| 108
| 108
Line 853: Line 1,248:
| 1-12/11-18/11-14/11
| 1-12/11-18/11-14/11
| otonal
| otonal
|
|
|}
|}


Revision as of 08:12, 20 October 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 ups and downs as described on the pergens page. The generator is vM3 and the enharmonic interval is ^5dd2. To simplify the names, lifts and drops are also used. One lift is 41 generators (41 because 41edo is a near-optimal tuning of magic). Thus /1 = vd-2 = 8.2c - 20¢, i.e. a pyth comma minus an up.

Triads

# Chord Transversal Type name name with / \ comments
1 0-1-2 1-5/4-14/9 marvel v(vv#5)
2 0-2-4 1-14/9-6/5 sensamagic ^m(vv#5)
3 0-1-5 1-5/4-3/2 otonal v
4 0-4-5 1-6/5-3/2 utonal ^m
5 0-2-7 1-14/9-7/6 utonal vvvA3 ^/ 1-9/7-3/2, vvvA3 = ^^d4
6 0-5-7 1-3/2-7/6 otonal ^^^d3 v\m ^^^d3 = vvA2
7 0-1-8 1-5/4-16/11 keenanismic v(^^b5)
8 0-4-8 1-6/5-16/11 ptolemismic ^m(^^b5)
9 0-7-8 1-7/6-16/11 keenanismic ^^^d3(^^b5) v\m(^^b5) ^^^d3 = vvA2
10 0-1-9 1-5/4-20/11 utonal v^7no5
11 0-2-9 1-14/9-9/5 sensamagic
12 0-4-9 1-6/5-9/5 otonal ^m7no5 or 1-3/2-5/3 = v6no3
13 0-5-9 1-3/2-9/5 utonal ^m7no3
14 0-7-9 1-7/6-9/5 sensamagic ^^^d3v7no5 ^^^d3 = vvA2
15 0-8-9 1-16/11-20/11 otonal v(^^^bb5) 1-5/4-11/8
16 0-1-10 1-5/4-9/8 otonal v,9no5
17 0-2-10 1-14/9-9/8 pentacircle 2(vv#5)
18 0-5-10 1-3/2-9/8 ambitonal 2
19 0-8-10 1-16/11-9/8 pentacircle 2(^^b5)
20 0-9-10 1-9/5-9/8 utonal ^m9no35 or 2^7no5
21 0-1-11 1-5/4-7/5 marvel v(^4bb5)
22 0-2-11 1-14/9-7/5 utonal vvvA3v7no5 1-9/7-9/5
23 0-4-11 1-6/5-7/5 otonal ^m(vpb5)
24 0-7-11 1-7/6-7/5 utonal ^^^d3(vpb5)
25 0-9-11 1-9/5-7/5 otonal
26 0-10-11 1-9/8-7/5 marvel
27 0-1-12 1-5/4-7/4 otonal
28 0-2-12 1-14/9-7/4 utonal
29 0-4-12 1-6/5-7/4 keenanismic
30 0-5-12 1-3/2-7/4 otonal
31 0-7-12 1-7/6-7/4 utonal
32 0-8-12 1-16/11-7/4 keenanismic
33 0-10-12 1-9/8-7/4 otonal
34 0-11-12 1-7/5-7/4 utonal
35 0-1-13 1-5/4-12/11 keenanismic
36 0-2-13 1-14/9-12/11 swetismic
37 0-4-13 1-6/5-12/11 utonal
38 0-5-13 1-3/2-12/11 utonal
39 0-8-13 1-16/11-12/11 otonal
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 0-1-2-9 1-5/4-14/9-9/5 magic
2 0-2-4-9 1-14/9-6/5-9/5 sensamagic
3 0-1-5-9 1-5/4-3/2-9/5 ptolemismic v^7
4 0-4-5-9 1-6/5-3/2-9/5 ambitonal ^m7
5 0-2-7-9 1-14/9-7/6-9/5 sensamagic 1-7/6-9/7-3/2
6 0-5-7-9 1-3/2-7/6-9/5 sensamagic ^^^d3^7
7 0-1-8-9 1-5/4-16/11-9/5 supermagic
8 0-4-8-9 1-6/5-16/11-9/5 ptolemismic
9 0-7-8-9 1-7/6-16/11-9/5 magic
10 0-1-2-10 1-5/4-14/9-9/8 apollo
11 0-1-5-10 1-5/4-3/2-9/8 otonal v,9
12 0-1-8-10 1-5/4-16/11-9/8 sensamagic11
13 0-1-9-10 1-5/4-9/5-9/8 ptolemismic
14 0-2-9-10 1-14/9-9/5-9/8 sensamagic11
15 0-5-9-10 1-3/2-9/5-9/8 utonal
16 0-8-9-10 1-16/11-9/5-9/8 apollo
17 0-1-2-11 1-5/4-14/9-7/5 marvel
18 0-2-4-11 1-14/9-6/5-7/5 sensamagic
19 0-2-7-11 1-14/9-7/6-7/5 utonal
20 0-1-9-11 1-5/4-9/5-7/5 apollo
21 0-2-9-11 1-14/9-9/5-7/5 sensamagic
22 0-4-9-11 1-6/5-9/5-7/5 otonal
23 0-7-9-11 1-7/6-9/5-7/5 sensamagic
24 0-1-10-11 1-5/4-9/8-7/5 marvel
25 0-2-10-11 1-14/9-9/8-7/5 apollo
26 0-9-10-11 1-9/5-9/8-7/5 marvel
27 0-1-2-12 1-5/4-14/9-7/4 marvel
28 0-2-4-12 1-14/9-6/5-7/4 sensamagic11
29 0-1-5-12 1-5/4-3/2-7/4 otonal v^^^d7
30 0-4-5-12 1-6/5-3/2-7/4 keenanismic
31 0-2-7-12 1-14/9-7/6-7/4 utonal
32 0-5-7-12 1-3/2-7/6-7/4 ambitonal
33 0-1-8-12 1-5/4-16/11-7/4 keenanismic
34 0-4-8-12 1-6/5-16/11-7/4 supermagic
35 0-7-8-12 1-7/6-16/11-7/4 keenanismic
36 0-1-10-12 1-5/4-9/8-7/4 otonal
37 0-2-10-12 1-14/9-9/8-7/4 pentacircle
38 0-5-10-12 1-3/2-9/8-7/4 otonal
39 0-8-10-12 1-16/11-9/8-7/4 sensamagic11
40 0-1-11-12 1-5/4-7/5-7/4 marvel
41 0-2-11-12 1-14/9-7/5-7/4 utonal
42 0-4-11-12 1-6/5-7/5-7/4 keenanismic
43 0-7-11-12 1-7/6-7/5-7/4 utonal
44 0-10-11-12 1-9/8-7/5-7/4 marvel
45 0-1-2-13 1-5/4-14/9-12/11 unimarvel
46 0-2-4-13 1-14/9-6/5-12/11 octarod
47 0-1-5-13 1-5/4-3/2-12/11 keenanismic
48 0-4-5-13 1-6/5-3/2-12/11 utonal
49 0-1-8-13 1-5/4-16/11-12/11 keenanismic
50 0-4-8-13 1-6/5-16/11-12/11 ptolemismic
51 0-1-9-13 1-5/4-9/5-12/11 supermagic
52 0-2-9-13 1-14/9-9/5-12/11 octarod
53 0-4-9-13 1-6/5-9/5-12/11 ptolemismic
54 0-5-9-13 1-3/2-9/5-12/11 ptolemismic
55 0-8-9-13 1-16/11-20/11-12/11 otonal
56 0-1-11-13 1-5/4-7/5-12/11 unimarvel
57 0-2-11-13 1-14/9-7/5-12/11 swetismic
58 0-4-11-13 1-6/5-7/5-12/11 octarod
59 0-9-11-13 1-9/5-7/5-12/11 octarod
60 0-1-12-13 1-5/4-7/4-12/11 keenanismic
61 0-2-12-13 1-14/9-7/4-12/11 unimarvel
62 0-4-12-13 1-6/5-7/4-12/11 supermagic
63 0-5-12-13 1-3/2-7/4-12/11 keenanismic
64 0-8-12-13 1-16/11-7/4-12/11 keenanismic
65 0-11-12-13 1-7/5-7/4-12/11 unimarvel
66 0-5-7-18 1-3/2-7/6-18/11 swetismic
67 0-7-8-18 1-7/6-16/11-18/11 unimarvel
68 0-5-9-18 1-3/2-9/5-18/11 utonal
69 0-7-9-18 1-7/6-9/5-18/11 octarod
70 0-8-9-18 1-16/11-20/11-18/11 otonal
71 0-5-10-18 1-3/2-9/8-18/11 utonal
72 0-8-10-18 1-16/11-9/8-18/11 pentacircle
73 0-9-10-18 1-9/5-9/8-18/11 utonal
74 0-7-11-18 1-7/6-7/5-18/11 swetismic
75 0-9-11-18 1-9/5-7/5-18/11 octarod
76 0-10-11-18 1-9/8-7/5-18/11 unimarvel
77 0-5-13-18 1-3/2-12/11-18/11 ambitonal
78 0-8-13-18 1-16/11-12/11-18/11 otonal
79 0-9-13-18 1-20/11-12/11-18/11 otonal
80 0-11-13-18 1-7/5-12/11-18/11 swetismic
81 0-2-7-20 1-14/9-7/6-14/11 utonal
82 0-7-8-20 1-7/6-16/11-14/11 keenanismic
83 0-2-9-20 1-14/9-9/5-14/11 octarod
84 0-7-9-20 1-7/6-9/5-14/11 octarod
85 0-8-9-20 1-16/11-20/11-14/11 otonal
86 0-2-10-20 1-14/9-9/8-14/11 pentacircle
87 0-8-10-20 1-16/11-9/8-14/11 pentacircle
88 0-9-10-20 1-9/5-9/8-14/11 apollo
89 0-2-11-20 1-14/9-7/5-14/11 utonal
90 0-7-11-20 1-7/6-7/5-14/11 utonal
91 0-9-11-20 1-9/5-7/5-14/11 ptolemismic
92 0-10-11-20 1-9/8-7/5-14/11 apollo
93 0-2-12-20 1-14/9-7/4-14/11 utonal
94 0-7-12-20 1-7/6-7/4-14/11 utonal
95 0-8-12-20 1-16/11-7/4-14/11 keenanismic
96 0-10-12-20 1-9/8-7/4-14/11 pentacircle
97 0-11-12-20 1-7/5-7/4-14/11 utonal
98 0-2-13-20 1-14/9-12/11-14/11 swetismic
99 0-8-13-20 1-16/11-12/11-14/11 otonal
100 0-9-13-20 1-20/11-12/11-14/11 otonal
101 0-11-13-20 1-7/5-12/11-14/11 octarod
102 0-12-13-20 1-7/4-12/11-14/11 keenanismic
103 0-7-18-20 1-7/6-18/11-14/11 swetismic
104 0-8-18-20 1-16/11-18/11-14/11 otonal
105 0-9-18-20 1-20/11-18/11-14/11 otonal
106 0-10-18-20 1-9/8-18/11-14/11 pentacircle
107 0-11-18-20 1-7/5-18/11-14/11 octarod
108 0-13-18-20 1-12/11-18/11-14/11 otonal

Pentads

# Chord Transversal Type
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
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
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
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
Retrieved from "https://en.xen.wiki/index.php?title=Chords_of_magic&oldid=161387"