Diaschismic/Chords: Difference between revisions

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Below are listed the [[dyadic chord]]s of 11-limit [[diaschismic]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[441/440]] are labeled [[Werckismic chords|werckismic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], by [[896/891]] [[Pentacircle chords|pentacircle]], and by [[126/125]] [[Starling chords|starling]]. Those requiring tempering by any two of 126/125, 176/175 or 441/440 are labeled thrush, and by both 896/891 and 441/440 pele.
Below are listed the [[dyadic chord]]s of 11-limit [[diaschismic]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[441/440]] are labeled [[Werckismic chords|werckismic]], by [[176/175]] [[Valinorsmic chords|valinorsmic]], by [[896/891]] [[Pentacircle chords|pentacircle]], and by [[126/125]] [[Starling chords|starling]]. Those requiring tempering by any two of 126/125, 176/175 or 441/440 are labeled thrush, and by both 896/891 and 441/440 pele.


The normal mapping for diaschismic is V<sub>dia</sub> = {{mapping| 2 0 11 31 45 | 0 1 -2 -8 -12 }}. From this we may derive a val V = V<sub>dia</sub>[0] - 100 V<sub>dia</sub>[1] = {{val| 2 -100 211 831 1245 }} which we may use to sort and normalize the chords of diaschismic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by V. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the [[Graham complexity]] of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.
The normal mapping for diaschismic is {{nowrap|V<sub>dia</sub> {{=}} {{mapping| 2 0 11 31 45 | 0 1 -2 -8 -12 }}}}. From this we may derive a val {{nowrap|'''V''' {{=}} V<sub>dia</sub>[0] &minus; 100 V<sub>dia</sub>[1]}} {{nowrap|{{=}} {{val| 2 -100 211 831 1245 }}}} which we may use to sort and normalize the chords of diaschismic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by V. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the [[Graham complexity]] of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.


Diaschsmic has [[mos scale]]s of size 10, 12, 22, 34, 46 and 58. It may be seen that even ten notes are not without resources, mostly essentially just. By the time we get to 22 notes, we are well-supplied.
Diaschismic has [[mos scale]]s of size 10, 12, 22, 34, 46, and 58. It may be seen that even ten notes are not without resources, mostly essentially just. By the time we get to 22 notes, we are well-supplied.
 
Chords are named with ups and downs. The comma (the actual punctuation mark) is pronounced "add", thus Cv,9 is "C down add 9". The pergen is (P8/2, P5), #2 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. The period is both vA4 and ^d5. The P5 generator in mingen form is reduced by one period to become both ^m2 and vA1, and hence M2/2. This is literally a semi-tone, but it's better to call it a "halftone", since the term "semitone" is used much more broadly and has many other connotations. The [[enharmonic unison]] is ^^d2, thus {{nowrap|^^C {{=}} B#}}. One up is 6 mingen generators minus 1 period, which is half a pythagorean comma. {{nowrap|^1 {{=}} 6''c''}}, where ''c'' is the amount in cents the tempered fifth exceeds 700¢. For 46edo, {{nowrap|''c'' {{=}} 4.3¢}} and {{nowrap|^1 {{=}} 1\46}} =&nbsp;26.1¢.
 
In Diaschismic, {{nowrap|5/4 {{=}} vM3}}, {{nowrap|7/4 {{=}} vm7}}, and {{nowrap|11/8 {{=}} vd5}} or vvvA4. Thus ^1 equals ~81/80 and ~64/63 and {{nowrap|~[[8192/8019]] {{=}} [13 -6 0 0 -1⟩}}. This won't be true for most (P8, P5/2) temperaments. So although the ratios are specific to diaschismic, the chord names apply to any (P8, P5/2) temperament with {{nowrap|A4 > d5}}. If {{nowrap|A4 < d5}}, the arrows flip direction.
 
Because the list is limited to dyadic chords, certain obvious chords like C, Cm, C7 and Cm7 are omitted.
{| class="wikitable"
|+ style="font-size: 105%;" | Diaschismic's two genchains, with cents in 46edo
|-
! colspan="3" | 1st genchain
! rowspan="2" | Genspan
! colspan="3" | 2nd genchain
|-
! Cents
! Ratio
! Interval
! Cents
! Ratio
! Interval
|-
| 261
|
| ^^M2
! 14
| 861
| 18/11
| ^A5, ^^^m6
|-
| 757
|
| ^^5
! 13
| 157
| 12/11
| ^A1, ^^^m2
|-
| 52
| 45/44
| ^^1
! 12
| 652
| 16/11
| ^A4, ^^^d5
|-
| 548
| 15/11
| ^^4
! 11
| 1148
| 27/14, 64/33
| ^M7, ^^^d8
|-
| 1043
| 20/11
| ^^m7
! 10
| 443
| 9/7
| ^M3
|-
| 339
| 40/33
| ^^m3
! 9
| 939
| 12/7
| ^M6
|-
| 835
| 45/28
| A5, ^^m6
! 8
| 235
| 8/7
| ^M2
|-
| 130
| 15/14
| A1, ^^m2
! 7
| 730
| 32/21
| ^5
|-
| 626
| 10/7
| A4, ^^d5
! 6
| 26
| 81/80, 64/63
| ^1
|-
| 1122
| 40/21, 21/11
| M7
! 5
| 522
| 27/20
| ^4
|-
| 417
| 14/11
| M3
! 4
| 1017
| 9/5
| ^m7
|-
| 913
| 27/16, 56/33
| M6
! 3
| 313
| 6/5
| ^m3
|-
| 209
| 9/8
| M2
! 2
| 809
| 8/5
| vA5, ^m6
|-
| 704
| '''3/2'''
| P5
! 1
| 104
| 16/15
| vA1, ^m2
|-
! 0
! 1/1
! P1
! 0
| 600
| 45/32, 64/45
| vA4, ^d5
|-
| 496
| 4/3
| P4
! -1
| 1096
| 15/8
| vM7, ^d8
|-
| 991
| 16/9
| m7
! -2
| 391
| '''5/4'''
| vM3, ^d4
|-
| 287
| 32/27, 33/28
| m3
! -3
| 887
| 5/3
| vM6, ^d7
|-
| 783
| 11/7
| m6, vvA5
! -4
| 183
| 10/9
| vM2
|-
| 78
| 22/21, 21/20
| m2
! -5
| 678
| 40/27
| v5
|-
| 574
| 7/5
| d5, vvA4
! -6
| 1174
| 160/81, 63/32
| v8
|-
| 1070
| 28/15
| d8, vvM7
! -7
| 470
| 21/16
| v4
|-
| 365
| 56/45
| d4, vvM3
! -8
| 965
| '''7/4'''
| vm7
|-
| 861
| 33/20
| vvM6
! -9
| 261
| 7/6
| vm3
|-
| 157
| 11/10
| vvM2
! -10
| 757
| 14/9
| vm6
|-
| 652
| 22/15
| vv5
! -11
| 52
| 28/27, 33/32
| vm2, vvvA1
|-
| 1148
| 88/45
| vv8
! -12
| 548
| '''11/8'''
| vd5, vvvA4
|-
| 443
|
| vv4
! -13
| 1043
| 11/6
| vd8, vvvM7
|-
| 939
|
| vvm7
! -14
| 339
| 11/9
| vd4, vvvM3
|}
 
In the genspans columns below, those on the 2nd genchain are marked with an apostrophe, thus 4 = M3 and 4' = ^m7. The "As (sub)harmonics" column describes otonal chords as harmonics and utonal chords as subharmonics.
 
'''''TODO: Complete the tables'''''


== Triads ==
== Triads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 13: Line 268:
! Transversal
! Transversal
! Type
! Type
! Ratios
! As (sub)harmonics
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 19: Line 278:
| 1-4/3-16/9
| 1-4/3-16/9
| ambitonal
| ambitonal
| 1-4/3-3/2
1-9/8-3/2
| 6:8:9 = 12/9/8
8:9:12 = 9/8/6
| 0 -1 1
0 2 1
| C4
C2
| 4
| 4
|-
|-
Line 25: Line 292:
| 1-4/3-5/3
| 1-4/3-5/3
| otonal
| otonal
| 1-5/4-3/2
| 4:5:6
| 0 -2' 1
| Cv
| 6
| 6
|-
|-
Line 31: Line 302:
| 1-5/4-5/3
| 1-5/4-5/3
| utonal
| utonal
| 1-6/5-3/2
| 6/5/4
| 0 3' 1
| C^m
| 6
| 6
|-
|-
Line 37: Line 312:
| 1-4/3-10/9
| 1-4/3-10/9
| otonal
| otonal
| 1-6/5-9/5
| 5:6:9
| 0 3' 4'
| C^m7no5
| 8
| 8
|-
|-
Line 43: Line 322:
| 1-5/4-10/9
| 1-5/4-10/9
| utonal
| utonal
| 1-5/4-20/9
1-9/5-9/4
| 20/16/9
9/5/4
| 0 -2' -4'
0 4' 2
| Cv,v9no5
C^9no35
| 8
| 8
|-
|-
Line 49: Line 336:
| 1-16/9-10/9
| 1-16/9-10/9
| otonal
| otonal
| 1-5/4-9/4
| 4:5:9
| 0 -2' 2
| Cv,9no5
| 8
| 8
|-
|-
Line 55: Line 346:
| 1-5/3-10/9
| 1-5/3-10/9
| utonal
| utonal
| 1-3/2-9/5
| 9/6/5
| 0 1 4'
| C^m7no3
| 8
| 8
|-
|-
Line 61: Line 356:
| 1-5/4-11/7
| 1-5/4-11/7
| valinorsmic
| valinorsmic
| 1-5/4-11/7
1-5/4-8/5
1-14/11-8/5
|
| 0 -2' -4
0 -2' 2'
0 4 2'
| Cv(vv#5)
Cv(v#5)
C(v#5)
| 8
| 8
|-
|-
Line 67: Line 375:
| 1-16/9-11/7
| 1-16/9-11/7
| pentacircle
| pentacircle
| 1-9/8-14/11
|
| 0 2 4
| C,9no5
| 8
| 8
|-
|-
Line 73: Line 385:
| 1-5/4-7/5
| 1-5/4-7/5
| starling
| starling
| 1-5/4-7/5
|
| 0 -2' -6
| Cv(b5)
| 12
| 12
|-
|-
Line 79: Line 395:
| 1-16/9-7/5
| 1-16/9-7/5
| werckismic
| werckismic
| 1-14/11-10/7
|
| 0 4 6
| C(^^b5)
| 12
| 12
|-
|-
Line 85: Line 405:
| 1-5/3-7/5
| 1-5/3-7/5
| starling
| starling
| 1-6/5-10/7
|
| 0 3' 6
| C^m(^^d5)
| 12
| 12
|-
|-
Line 91: Line 415:
| 1-10/9-7/5
| 1-10/9-7/5
| starling
| starling
| 1-10/9-7/5
|
| 0 -4' -6
| Cv2(b5)
| 12
| 12
|-
|-
Line 97: Line 425:
| 1-11/7-7/5
| 1-11/7-7/5
| werckismic
| werckismic
| 1-14/11-16/9
|
| 0 4 -2
| C7no5
| 12
| 12
|-
|-
Line 103: Line 435:
| 1-5/4-7/4
| 1-5/4-7/4
| otonal
| otonal
| 1-5/4-7/4
| 4:5:7
| 0 -2' -8'
| Cv7no5
| 16
| 16
|-
|-
Line 109: Line 445:
| 1-10/9-7/4
| 1-10/9-7/4
| werckismic
| werckismic
| 1-10/9-7/4
1-8/7-14/11
|
| 0 -4' -8'
0 8' 4
| Cv7v9no35
C,^9no5
| 16
| 16
|-
|-
Line 115: Line 458:
| 1-11/7-7/4
| 1-11/7-7/4
| werckismic
| werckismic
| 1-9/5-16/7
1-10/9-14/11
|
| 0 4' 8'
0 -4' 4
| C^7^9no35
C,v9no5
| 16
| 16
|-
|-
Line 121: Line 471:
| 1-7/5-7/4
| 1-7/5-7/4
| utonal
| utonal
| 1-5/4-10/7
| 10/8/7
| 0 -2' 6
| Cv(^^b5)
| 16
| 16
|-
|-
Line 127: Line 481:
| 1-4/3-7/6
| 1-4/3-7/6
| otonal
| otonal
| 1-3/2-7/4
| 4:6:7
| 0 1 -8'
| Cv7no3
| 18
| 18
|-
|-
Line 133: Line 491:
| 1-5/3-7/6
| 1-5/3-7/6
| otonal
| otonal
| 1-7/6-5/3
1-6/5-7/5
| 6:7:10
5:6:7
| 0 -9' -3'
0 3' -6
| Cvm6no5
C^dim
| 18
| 18
|-
|-
Line 139: Line 505:
| 1-7/5-7/6
| 1-7/5-7/6
| utonal
| utonal
| 1-7/6-7/5
1-6/5-12/7
| 7/6/5
12/10/7
| 0 -9' -6
0 3' 9'
| Cvdim
C^m6no5
| 18
| 18
|-
|-
Line 145: Line 519:
| 1-7/4-7/6
| 1-7/4-7/6
| utonal
| utonal
| 1-7/6-7/4
| 7/6/4
| 0 -9' -8'
| Cvm7no5
| 18
| 18
|-
|-
Line 151: Line 529:
| 1-5/4-11/10
| 1-5/4-11/10
| valinorsmic
| valinorsmic
| 1-5/4-11/5
1-20/11-16/7
|
| 0 -2' -10
0 10 8'
| Cv,vv9no5
C^^7^9no35
| 20
| 20
|-
|-
Line 157: Line 542:
| 1-11/7-11/10
| 1-11/7-11/10
| utonal
| utonal
| 1-14/11-7/5
| 14/11/10
| 0 4 -6
| C(b5)
| 20
| 20
|-
|-
Line 163: Line 552:
| 1-7/5-11/10
| 1-7/5-11/10
| otonal
| otonal
| 1-11/10-7/5
1-14/11-20/11
| 10:11:14
11:14:20
| 0 -10 -6
0 4 10
| Cvv2(b5)
C,^^7no5
| 20
| 20
|-
|-
Line 169: Line 566:
| 1-7/4-11/10
| 1-7/4-11/10
| valinorsmic
| valinorsmic
| 1-7/4-11/5
1-5/4-45/28
|
| 0 -8' -10
0 -2' 8'
| Cv7vv9no35
Cv,v9no5
| 20
| 20
|-
|-
Line 175: Line 579:
| 1-4/3-14/9
| 1-4/3-14/9
| otonal
| otonal
| 1-7/6-3/2
| 6:7:9
| 0 -9' 1
| Cvm
| 20
| 20
|-
|-
Line 181: Line 589:
| 1-16/9-14/9
| 1-16/9-14/9
| otonal
| otonal
| 1-7/4-9/4
1-9/7-16/7
| 4:7:9
7:9:16
| 0 -8' 2
0 10' 8'
| Cv9no35
C^,^9no5
| 20
| 20
|-
|-
Line 187: Line 603:
| 1-10/9-14/9
| 1-10/9-14/9
| otonal
| otonal
| 1-9/7-10/7
| 7:9:10
| 0 10' 6
| C^(^^b5)
| 20
| 20
|-
|-
Line 193: Line 613:
| 1-7/5-14/9
| 1-7/5-14/9
| utonal
| utonal
| 1-9/7-9/5
| 9/7/5
| 0 10' 4'
| C^7no5
| 20
| 20
|-
|-
Line 199: Line 623:
| 1-7/4-14/9
| 1-7/4-14/9
| utonal
| utonal
| 1-9/7-9/4
1-8/7-16/9
| 9/7/4
16/14/9
| 0 10' 2
0 8' -2
| C^,9no5
C^2,7no5
| 20
| 20
|-
|-
Line 205: Line 637:
| 1-7/6-14/9
| 1-7/6-14/9
| utonal
| utonal
| 1-9/7-3/2
| 9/7/6
| 0 10' 1
| C^
| 20
| 20
|-
|-
Line 211: Line 647:
| 1-5/4-11/8
| 1-5/4-11/8
| otonal
| otonal
| 1-5/4-11/8
| 8:10:11
| 0 -2' -12'
| Cv(vb5)
| 24
| 24
|-
|-
Line 217: Line 657:
| 1-16/9-11/8
| 1-16/9-11/8
| pentacircle
| pentacircle
| 1-9/7-16/11
|
| 0 10' 12'
| C^,^#11no5
| 24
| 24
|-
|-
Line 223: Line 667:
| 1-11/7-11/8
| 1-11/7-11/8
| utonal
| utonal
| 1-14/11-7/4
| 14/11/8
| 0 4 -8'
| C,v7no5
| 24
| 24
|-
|-
Line 229: Line 677:
| 1-7/4-11/8
| 1-7/4-11/8
| otonal
| otonal
| 1-14/11-16/11
| 11:14:16
| 0 4 12'
| C,^#11no5
| 24
| 24
|-
|-
Line 235: Line 687:
| 1-11/10-11/8
| 1-11/10-11/8
| utonal
| utonal
| 1-11/10-11/8
1-5/4-20/11
| 11/10/8
20/16/11
| 0 -10 -12'
0 -2' 10
| Cvv2(vb5)
Cv^^7no5
| 24
| 24
|-
|-
Line 241: Line 701:
| 1-14/9-11/8
| 1-14/9-11/8
| pentacircle
| pentacircle
| 1-9/7-16/9
|
| 0 10' -2
| C^,7no5
| 24
| 24
|-
|-
Line 247: Line 711:
| 1-4/3-11/6
| 1-4/3-11/6
| otonal
| otonal
| 1-11/8-3/2
| 8:11:12
| 0 -12' 1
| C,vd5no3
| 26
| 26
|-
|-
Line 253: Line 721:
| 1-5/3-11/6
| 1-5/3-11/6
| otonal
| otonal
| 1-6/5-11/5
| 5:6:11
| 0 3' -10
| C^mvv9no5
| 26
| 26
|-
|-
Line 259: Line 731:
| 1-11/7-11/6
| 1-11/7-11/6
| utonal
| utonal
| 1-7/6-14/11
| 14/12/11
| 0 -9' 4
| C,vm10no5
| 26
| 26
|-
|-
Line 265: Line 741:
| 1-7/6-11/6
| 1-7/6-11/6
| otonal
| otonal
| 1-7/6-11/6
| 6:7:11
| 0 -9' -13'
| CvmvvvM7
| 26
| 26
|-
|-
Line 271: Line 751:
| 1-11/10-11/6
| 1-11/10-11/6
| utonal
| utonal
| 1-6/5-24/11
| 24/20/11
| 0 3' 13'
| C^m,^^^m9no5
| 26
| 26
|-
|-
Line 277: Line 761:
| 1-11/8-11/6
| 1-11/8-11/6
| utonal
| utonal
| 1-4/3-16/11
| 16/12/11
| 0 -1 12'
| C4(^^^b5)
| 26
| 26
|-
|-
Line 283: Line 771:
| 1-4/3-11/9
| 1-4/3-11/9
| otonal
| otonal
| 1-3/2-11/6
| 6:9:11
| 0 1 -13'
| CvvvM7no3
| 28
| 28
|-
|-
Line 289: Line 781:
| 1-16/9-11/9
| 1-16/9-11/9
| otonal
| otonal
| 1-11/9-16/9
| 9:11:16
| 0 -14' -2
| Cvb4,7no5
| 28
| 28
|-
|-
Line 295: Line 791:
| 1-10/9-11/9
| 1-10/9-11/9
| otonal
| otonal
| 1-10/9-11/9
1-11/10-9/5
| 9:10:11
10:11:18
| 0 -4' -14'
0 -10 4'
| Cv2vb4no5
Cvv2,^7no5
| 28
| 28
|-
|-
Line 301: Line 805:
| 1-11/7-11/9
| 1-11/7-11/9
| utonal
| utonal
| 1-11/9-11/7
1-14/11-14/9
1-9/7-18/11
| 11/9/7
14/11/9
18/14/11
| 0 -14' -4
0 4 -10'
0 10' 14'
| Cvb4b6no5
C,vm6no5
C^(^#5)
| 28
| 28
|-
|-
Line 307: Line 827:
| 1-7/5-11/9
| 1-7/5-11/9
| werckismic
| werckismic
| 1-11/9-7/5
|
| 0 -14' -6
| Cvb4(b5)
| 28
| 28
|-
|-
Line 313: Line 837:
| 1-7/4-11/9
| 1-7/4-11/9
| werckismic
| werckismic
| 1-11/9-7/4
1-8/7-7/5
|
| 0 -14' -8'
0 8' -6
| Cvb4v7no5
C^2(b5)
| 28
| 28
|-
|-
Line 319: Line 850:
| 1-11/10-11/9
| 1-11/10-11/9
| utonal
| utonal
| 1-11/10-11/9
1-20/11-20/9
| 11/10/9
20/11/9
| 0 -10 -14'
0 10 -4'
| Cvv2vb4no5
C^^7v9no35
| 28
| 28
|-
|-
Line 325: Line 864:
| 1-14/9-11/9
| 1-14/9-11/9
| otonal
| otonal
| 1-14/11-18/11
| 11:14:18
| 0 4 14'
| C(^#5)
| 28
| 28
|-
|-
Line 331: Line 874:
| 1-11/8-11/9
| 1-11/8-11/9
| utonal
| utonal
| 1-16/11-16/9
| 16/11/9
| 0 12' -2
| C^#4,7no5
| 28
| 28
|-
|-
Line 337: Line 884:
| 1-11/6-11/9
| 1-11/6-11/9
| utonal
| utonal
| 1-11/9-11/6
| 11/9/6
| 0 -14' -13'
| CvvvM7no5
| 28
| 28
|}
|}


== Tetrads ==
== Tetrads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 348: Line 898:
! Transversal
! Transversal
! Type
! Type
! Ratios
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 354: Line 907:
| 1-4/3-16/9-10/9
| 1-4/3-16/9-10/9
| otonal
| otonal
| 1-5/4-3/2-9/4
| 0 -2' 1 2
| Cv,9
| 8
| 8
|-
|-
Line 360: Line 916:
| 1-4/3-5/3-10/9
| 1-4/3-5/3-10/9
| ambitonal
| ambitonal
| 1-5/4-3/2-5/3
1-6/5-3/2-9/5
| 0 -2' 1 -3'
0 3' 1 4'
| Cv6
C^m7
| 8
| 8
|-
|-
Line 366: Line 930:
| 1-5/4-5/3-10/9
| 1-5/4-5/3-10/9
| utonal
| utonal
| 1-3/2-9/5-9/4
1-6/5-4/3-3/2
| 0 1 4' 2
0 3' -1 1
| C^9no3
C^m,4
| 8
| 8
|-
|-
Line 372: Line 942:
| 1-5/4-5/3-7/5
| 1-5/4-5/3-7/5
| starling
| starling
| 1-6/5-3/2-5/3
| 0 3' 1 -3'
| C^mv6
| 12
| 12
|-
|-
Line 378: Line 951:
| 1-5/4-10/9-7/5
| 1-5/4-10/9-7/5
| starling
| starling
| 1-5/4-9/5-9/4
| 0 -2' 4' 2
| Cv9(^7)no5
| 12
| 12
|-
|-
Line 384: Line 960:
| 1-16/9-10/9-7/5
| 1-16/9-10/9-7/5
| thrush
| thrush
| 1-5/4-8/5-9/5
| 0 -2' 2' 4'
| Cv^7(v#5)
| 12
| 12
|-
|-
Line 390: Line 969:
| 1-5/3-10/9-7/5
| 1-5/3-10/9-7/5
| starling
| starling
| 1-5/4-3/2-9/5
| 0 -2' 1 4'
| Cv^7
| 12
| 12
|-
|-
Line 396: Line 978:
| 1-5/4-11/7-7/5
| 1-5/4-11/7-7/5
| thrush
| thrush
| 1-14/11-8/5-16/9
| 0 4 2' -2
| C7(v#5)
| 12
| 12
|-
|-
Line 402: Line 987:
| 1-16/9-11/7-7/5
| 1-16/9-11/7-7/5
| pele
| pele
| 1-14/11-16/9-9/4
| 0 4 -2 2
| C9no5
| 12
| 12
|-
|-
Line 408: Line 996:
| 1-5/4-10/9-7/4
| 1-5/4-10/9-7/4
| werckismic
| werckismic
| 1-5/4-7/4-20/9
| 0 -2' -8' -4'
| Cv7v9no5
| 16
| 16
|-
|-
Line 414: Line 1,005:
| 1-5/4-11/7-7/4
| 1-5/4-11/7-7/4
| thrush
| thrush
| 1-5/4-7/4-22/7
| 0 -2' -4 -8'
| Cv7b13no5
| 16
| 16
|-
|-
Line 420: Line 1,014:
| 1-5/4-7/5-7/4
| 1-5/4-7/5-7/4
| starling
| starling
| 1-5/4-7/5-7/4
| 0 -2' -6 -8'
| Cv7(b5)
| 16
| 16
|-
|-
Line 426: Line 1,023:
| 1-10/9-7/5-7/4
| 1-10/9-7/5-7/4
| thrush
| thrush
| 1-5/4-11/7-9/5
| 0 -2' -4 4'
| Cv^7(vv#5)
| 16
| 16
|-
|-
Line 432: Line 1,032:
| 1-11/7-7/5-7/4
| 1-11/7-7/5-7/4
| werckismic
| werckismic
| 1-14/11-16/9-20/9
| 0 4 -2 -4'
| C7v9no5
| 16
| 16
|-
|-
Line 438: Line 1,041:
| 1-4/3-5/3-7/6
| 1-4/3-5/3-7/6
| otonal
| otonal
| 1-5/4-3/2-7/4
| 0 -2' 1 -8'
| Cv7
| 18
| 18
|-
|-
Line 444: Line 1,050:
| 1-5/3-7/5-7/6
| 1-5/3-7/5-7/6
| starling
| starling
| 1-6/5-7/5-5/3
| 0 3' -6 -3'
| C^d7
| 18
| 18
|-
|-
Line 450: Line 1,059:
| 1-7/5-7/4-7/6
| 1-7/5-7/4-7/6
| utonal
| utonal
| 1-7/6-7/5-7/4
1-6/5-3/2-12/7
| 0 -9' -6 -8'
0 3' 1 9'
| Cvdv7
C^m6
| 18
| 18
|-
|-
Line 456: Line 1,072:
| 1-5/4-11/7-11/10
| 1-5/4-11/7-11/10
| valinorsmic
| valinorsmic
|
|
|
| 20
| 20
|-
|-
Line 462: Line 1,081:
| 1-5/4-7/5-11/10
| 1-5/4-7/5-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 468: Line 1,090:
| 1-11/7-7/5-11/10
| 1-11/7-7/5-11/10
| werckismic
| werckismic
|
|
|
| 20
| 20
|-
|-
Line 474: Line 1,099:
| 1-5/4-7/4-11/10
| 1-5/4-7/4-11/10
| valinorsmic
| valinorsmic
|
|
|
| 20
| 20
|-
|-
Line 480: Line 1,108:
| 1-11/7-7/4-11/10
| 1-11/7-7/4-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 486: Line 1,117:
| 1-7/5-7/4-11/10
| 1-7/5-7/4-11/10
| valinorsmic
| valinorsmic
|
|
|
| 20
| 20
|-
|-
Line 492: Line 1,126:
| 1-4/3-16/9-14/9
| 1-4/3-16/9-14/9
| otonal
| otonal
|
|
|
| 20
| 20
|-
|-
Line 498: Line 1,135:
| 1-4/3-10/9-14/9
| 1-4/3-10/9-14/9
| otonal
| otonal
|
|
|
| 20
| 20
|-
|-
Line 504: Line 1,144:
| 1-16/9-10/9-14/9
| 1-16/9-10/9-14/9
| otonal
| otonal
|
|
|
| 20
| 20
|-
|-
Line 510: Line 1,153:
| 1-16/9-7/5-14/9
| 1-16/9-7/5-14/9
| werckismic
| werckismic
|
|
|
| 20
| 20
|-
|-
Line 516: Line 1,162:
| 1-10/9-7/5-14/9
| 1-10/9-7/5-14/9
| starling
| starling
|
|
|
| 20
| 20
|-
|-
Line 522: Line 1,171:
| 1-10/9-7/4-14/9
| 1-10/9-7/4-14/9
| werckismic
| werckismic
|
|
|
| 20
| 20
|-
|-
Line 528: Line 1,180:
| 1-7/5-7/4-14/9
| 1-7/5-7/4-14/9
| utonal
| utonal
|
|
|
| 20
| 20
|-
|-
Line 534: Line 1,189:
| 1-4/3-7/6-14/9
| 1-4/3-7/6-14/9
| ambitonal
| ambitonal
|
|
|
| 20
| 20
|-
|-
Line 540: Line 1,198:
| 1-7/5-7/6-14/9
| 1-7/5-7/6-14/9
| utonal
| utonal
|
|
|
| 20
| 20
|-
|-
Line 546: Line 1,207:
| 1-7/4-7/6-14/9
| 1-7/4-7/6-14/9
| utonal
| utonal
|
|
|
| 20
| 20
|-
|-
Line 552: Line 1,216:
| 1-5/4-11/7-11/8
| 1-5/4-11/7-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 558: Line 1,225:
| 1-16/9-11/7-11/8
| 1-16/9-11/7-11/8
| pentacircle
| pentacircle
|
|
|
| 24
| 24
|-
|-
Line 564: Line 1,234:
| 1-5/4-7/4-11/8
| 1-5/4-7/4-11/8
| otonal
| otonal
|
|
|
| 24
| 24
|-
|-
Line 570: Line 1,243:
| 1-11/7-7/4-11/8
| 1-11/7-7/4-11/8
| werckismic
| werckismic
|
|
|
| 24
| 24
|-
|-
Line 576: Line 1,252:
| 1-5/4-11/10-11/8
| 1-5/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 582: Line 1,261:
| 1-11/7-11/10-11/8
| 1-11/7-11/10-11/8
| utonal
| utonal
|
|
|
| 24
| 24
|-
|-
Line 588: Line 1,270:
| 1-7/4-11/10-11/8
| 1-7/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 594: Line 1,279:
| 1-16/9-14/9-11/8
| 1-16/9-14/9-11/8
| pentacircle
| pentacircle
|
|
|
| 24
| 24
|-
|-
Line 600: Line 1,288:
| 1-7/4-14/9-11/8
| 1-7/4-14/9-11/8
| pentacircle
| pentacircle
|
|
|
| 24
| 24
|-
|-
Line 606: Line 1,297:
| 1-4/3-5/3-11/6
| 1-4/3-5/3-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 612: Line 1,306:
| 1-4/3-7/6-11/6
| 1-4/3-7/6-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 618: Line 1,315:
| 1-5/3-7/6-11/6
| 1-5/3-7/6-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 624: Line 1,324:
| 1-11/7-11/10-11/6
| 1-11/7-11/10-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 630: Line 1,333:
| 1-11/7-11/8-11/6
| 1-11/7-11/8-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 636: Line 1,342:
| 1-11/10-11/8-11/6
| 1-11/10-11/8-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 642: Line 1,351:
| 1-4/3-16/9-11/9
| 1-4/3-16/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 648: Line 1,360:
| 1-4/3-10/9-11/9
| 1-4/3-10/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 654: Line 1,369:
| 1-16/9-10/9-11/9
| 1-16/9-10/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 660: Line 1,378:
| 1-16/9-11/7-11/9
| 1-16/9-11/7-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 666: Line 1,387:
| 1-16/9-7/5-11/9
| 1-16/9-7/5-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 672: Line 1,396:
| 1-10/9-7/5-11/9
| 1-10/9-7/5-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 678: Line 1,405:
| 1-11/7-7/5-11/9
| 1-11/7-7/5-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 684: Line 1,414:
| 1-10/9-7/4-11/9
| 1-10/9-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 690: Line 1,423:
| 1-11/7-7/4-11/9
| 1-11/7-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 696: Line 1,432:
| 1-7/5-7/4-11/9
| 1-7/5-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 702: Line 1,441:
| 1-11/7-11/10-11/9
| 1-11/7-11/10-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 708: Line 1,450:
| 1-7/5-11/10-11/9
| 1-7/5-11/10-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 714: Line 1,459:
| 1-7/4-11/10-11/9
| 1-7/4-11/10-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 720: Line 1,468:
| 1-4/3-14/9-11/9
| 1-4/3-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 726: Line 1,477:
| 1-16/9-14/9-11/9
| 1-16/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 732: Line 1,486:
| 1-10/9-14/9-11/9
| 1-10/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 738: Line 1,495:
| 1-7/5-14/9-11/9
| 1-7/5-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 744: Line 1,504:
| 1-7/4-14/9-11/9
| 1-7/4-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 750: Line 1,513:
| 1-16/9-11/8-11/9
| 1-16/9-11/8-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 756: Line 1,522:
| 1-11/7-11/8-11/9
| 1-11/7-11/8-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 762: Line 1,531:
| 1-7/4-11/8-11/9
| 1-7/4-11/8-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 768: Line 1,540:
| 1-11/10-11/8-11/9
| 1-11/10-11/8-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 774: Line 1,549:
| 1-14/9-11/8-11/9
| 1-14/9-11/8-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 780: Line 1,558:
| 1-4/3-11/6-11/9
| 1-4/3-11/6-11/9
| ambitonal
| ambitonal
|
|
|
| 28
| 28
|-
|-
Line 786: Line 1,567:
| 1-11/7-11/6-11/9
| 1-11/7-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 792: Line 1,576:
| 1-11/10-11/6-11/9
| 1-11/10-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 798: Line 1,585:
| 1-11/8-11/6-11/9
| 1-11/8-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|}
|}


== Pentads ==
== Pentads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 809: Line 1,598:
! Transversal
! Transversal
! Type
! Type
! Ratios
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 815: Line 1,607:
| 1-5/4-5/3-10/9-7/5
| 1-5/4-5/3-10/9-7/5
| starling
| starling
| 1-5/4-3/2-9/5-9/4
| 0 -2' 1 4' 2
| Cv9(^7)
| 12
| 12
|-
|-
Line 821: Line 1,616:
| 1-5/4-10/9-7/5-7/4
| 1-5/4-10/9-7/5-7/4
| thrush
| thrush
|
|
|
| 16
| 16
|-
|-
Line 827: Line 1,625:
| 1-5/4-11/7-7/5-7/4
| 1-5/4-11/7-7/5-7/4
| thrush
| thrush
|
|
|
| 16
| 16
|-
|-
Line 833: Line 1,634:
| 1-5/4-11/7-7/5-11/10
| 1-5/4-11/7-7/5-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 839: Line 1,643:
| 1-5/4-11/7-7/4-11/10
| 1-5/4-11/7-7/4-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 845: Line 1,652:
| 1-5/4-7/5-7/4-11/10
| 1-5/4-7/5-7/4-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 851: Line 1,661:
| 1-11/7-7/5-7/4-11/10
| 1-11/7-7/5-7/4-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 857: Line 1,670:
| 1-4/3-16/9-10/9-14/9
| 1-4/3-16/9-10/9-14/9
| otonal
| otonal
| 1-5/4-3/2-7/4-9/4
| 0 -2' 1 -8' 2
| Cv9
| 20
| 20
|-
|-
Line 863: Line 1,679:
| 1-16/9-10/9-7/5-14/9
| 1-16/9-10/9-7/5-14/9
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 869: Line 1,688:
| 1-10/9-7/5-7/4-14/9
| 1-10/9-7/5-7/4-14/9
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 875: Line 1,697:
| 1-7/5-7/4-7/6-14/9
| 1-7/5-7/4-7/6-14/9
| utonal
| utonal
| 1-9/7-3/2-9/5-9/4
| 0 10' 1 4' 2
| C^9
| 20
| 20
|-
|-
Line 881: Line 1,706:
| 1-5/4-11/7-7/4-11/8
| 1-5/4-11/7-7/4-11/8
| thrush
| thrush
|
|
|
| 24
| 24
|-
|-
Line 887: Line 1,715:
| 1-5/4-11/7-11/10-11/8
| 1-5/4-11/7-11/10-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 893: Line 1,724:
| 1-5/4-7/4-11/10-11/8
| 1-5/4-7/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 899: Line 1,733:
| 1-11/7-7/4-11/10-11/8
| 1-11/7-7/4-11/10-11/8
| thrush
| thrush
|
|
|
| 24
| 24
|-
|-
Line 905: Line 1,742:
| 1-4/3-5/3-7/6-11/6
| 1-4/3-5/3-7/6-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 911: Line 1,751:
| 1-11/7-11/10-11/8-11/6
| 1-11/7-11/10-11/8-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 917: Line 1,760:
| 1-4/3-16/9-10/9-11/9
| 1-4/3-16/9-10/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 923: Line 1,769:
| 1-16/9-10/9-7/5-11/9
| 1-16/9-10/9-7/5-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 929: Line 1,778:
| 1-16/9-11/7-7/5-11/9
| 1-16/9-11/7-7/5-11/9
| pele
| pele
|
|
|
| 28
| 28
|-
|-
Line 935: Line 1,787:
| 1-10/9-7/5-7/4-11/9
| 1-10/9-7/5-7/4-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 941: Line 1,796:
| 1-11/7-7/5-7/4-11/9
| 1-11/7-7/5-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 947: Line 1,805:
| 1-11/7-7/5-11/10-11/9
| 1-11/7-7/5-11/10-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 953: Line 1,814:
| 1-11/7-7/4-11/10-11/9
| 1-11/7-7/4-11/10-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 959: Line 1,823:
| 1-7/5-7/4-11/10-11/9
| 1-7/5-7/4-11/10-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 965: Line 1,832:
| 1-4/3-16/9-14/9-11/9
| 1-4/3-16/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 971: Line 1,841:
| 1-4/3-10/9-14/9-11/9
| 1-4/3-10/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 977: Line 1,850:
| 1-16/9-10/9-14/9-11/9
| 1-16/9-10/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 983: Line 1,859:
| 1-16/9-7/5-14/9-11/9
| 1-16/9-7/5-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 989: Line 1,868:
| 1-10/9-7/5-14/9-11/9
| 1-10/9-7/5-14/9-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 995: Line 1,877:
| 1-10/9-7/4-14/9-11/9
| 1-10/9-7/4-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,001: Line 1,886:
| 1-7/5-7/4-14/9-11/9
| 1-7/5-7/4-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,007: Line 1,895:
| 1-16/9-11/7-11/8-11/9
| 1-16/9-11/7-11/8-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 1,013: Line 1,904:
| 1-11/7-7/4-11/8-11/9
| 1-11/7-7/4-11/8-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,019: Line 1,913:
| 1-11/7-11/10-11/8-11/9
| 1-11/7-11/10-11/8-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,025: Line 1,922:
| 1-7/4-11/10-11/8-11/9
| 1-7/4-11/10-11/8-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,031: Line 1,931:
| 1-16/9-14/9-11/8-11/9
| 1-16/9-14/9-11/8-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 1,037: Line 1,940:
| 1-7/4-14/9-11/8-11/9
| 1-7/4-14/9-11/8-11/9
| pele
| pele
|
|
|
| 28
| 28
|-
|-
Line 1,043: Line 1,949:
| 1-11/7-11/10-11/6-11/9
| 1-11/7-11/10-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,049: Line 1,958:
| 1-11/7-11/8-11/6-11/9
| 1-11/7-11/8-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,055: Line 1,967:
| 1-11/10-11/8-11/6-11/9
| 1-11/10-11/8-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|}
|}


== Hexads ==
== Hexads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 1,066: Line 1,980:
! Transversal
! Transversal
! Type
! Type
! Ratios
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 1,072: Line 1,989:
| 1-5/4-11/7-7/5-7/4-11/10
| 1-5/4-11/7-7/5-7/4-11/10
| thrush
| thrush
| 1-5/4-7/5-7/4-11/5-22/7
| 0 -2' -6 -8' -10 -4
| v7vv9b13(b5)
| 20
| 20
|-
|-
Line 1,078: Line 1,998:
| 1-5/4-11/7-7/4-11/10-11/8
| 1-5/4-11/7-7/4-11/10-11/8
| thrush
| thrush
| 1-5/4-11/8-7/4-11/5-22/7
| 0 -2' -12' -8' -10 -4
| v7vv9b13(vb5)
| 24
| 24
|-
|-
Line 1,084: Line 2,007:
| 1-11/7-7/5-7/4-11/10-11/9
| 1-11/7-7/5-7/4-11/10-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,090: Line 2,016:
| 1-4/3-16/9-10/9-14/9-11/9
| 1-4/3-16/9-10/9-14/9-11/9
| otonal
| otonal
| 1-5/4-3/2-7/4-9/4-11/4
| 0 -2' 1 -8' 2 -12'
| Cv9vvv#11
| 28
| 28
|-
|-
Line 1,096: Line 2,025:
| 1-16/9-10/9-7/5-14/9-11/9
| 1-16/9-10/9-7/5-14/9-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,102: Line 2,034:
| 1-10/9-7/5-7/4-14/9-11/9
| 1-10/9-7/5-7/4-14/9-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,108: Line 2,043:
| 1-11/7-7/4-11/10-11/8-11/9
| 1-11/7-7/4-11/10-11/8-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,114: Line 2,052:
| 1-11/7-11/10-11/8-11/6-11/9
| 1-11/7-11/10-11/8-11/6-11/9
| utonal
| utonal
| 1-9/7-3/2-9/5-9/4-18/11
| 0 10' 1 4' 2 14'
| C^9^^^b6
| 28
| 28
|}
|}