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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. The enharmonic interval is ^^d2, thus ^^C = B#. One up is 6 mingen generators minus 1 period. ^1 = 6c, where c = the amount in cents the tempered fifth exceeds 700¢. For 34edo, c = 5.9¢ and ^1 = 1\34 = 35.3¢. In this notation, 5/4 = vM3, 7/4 = vm7 and 11/8 = vd5. Thus ^1 equals ~81/80 and ~64/63 and ~[[8192/8019]] = [13 -6 0 0 -1⟩.
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"
{| class="wikitable"
|+Diaschismic's two genchains, fifthward halves
|+ style="font-size: 105%;" | Diaschismic's two genchains, with cents in 46edo
! rowspan="3" |1st
genchain
!Cents (34edo)
|0
|706
|212
|918
|424
|1129
|635
|141
|847
|353
|1059
|565
|71
|-
|-
!Ratio
! colspan="3" | 1st genchain
|1/1
! rowspan="2" | Genspan
|3/2
! colspan="3" | 2nd genchain
|9/8
|27/16
56/33
|14/11
|21/11
40/21
|10/7
|15/14
|45/28
|40/33
|20/11
|15/11
|45/44
|-
|-
!Interval
! Cents
|P1
! Ratio
|P5
! Interval
|M2
! Cents
|M6
! Ratio
|M3
! Interval
|M7
|A4
^^d5
|A1
^^m2
|A5
^^m6
|^^m3
|^^m7
|^^4
|^^1
|-
|-
! colspan="2" |Genspan
| 261
!0
|
!1
| ^^M2
!2
! 14
!3
| 861
!4
| 18/11
!5
| ^A5, ^^^m6
!6
!7
!8
!9
!10
!11
!12
|-
|-
! rowspan="3" |2nd
| 757
genchain
|  
!Cents (34edo)
| ^^5
|600
! 13
|106
| 157
|812
| 12/11
|318
| ^A1, ^^^m2
|1024
|529
|35
|741
|247
|953
|459
|1165
|671
|-
|-
!Ratio
| 52
|45/32
| 45/44
64/45
| ^^1
|16/15
! 12
|8/5
| 652
|6/5
| 16/11
|9/5
| ^A4, ^^^d5
|27/20
|81/80
64/63
|32/21
|8/7
|12/7
|9/7
|27/14
64/33
|16/11
|-
|-
!Interval
| 548
|vA4
| 15/11
^d5
| ^^4
|vA1
! 11
^m2
| 1148
|vA5
| 27/14, 64/33
^m6
| ^M7, ^^^d8
|vA2
^m3
|^m7
|^4
|^1
|^5
|^M2
|^M6
|^M3
|^M7
|^A4
|}
5/4, 7/4 and 11/8 all occur on the fourthward half of the 2nd genchain:
{| class="wikitable"
|+Diaschismic's two genchains, fourthward halves
! rowspan="3" |1at
genchain
!Cents (34edo)
|0
|494
|988
|282
|776
|71
|565
|1059
|353
|847
|141
|635
|1129
|-
|-
!Ratio
| 1043
|1/1
| 20/11
|4/3
| ^^m7
|16/9
! 10
|32/27
| 443
33/28
| 9/7
|11/7
| ^M3
|22/21
21/20
|7/5
|28/15
|56/45
|33/20
|11/10
|22/15
|88/45
|-
|-
!Interval
| 339
|P1
| 40/33
|P4
| ^^m3
|m7
! 9
|m3
| 939
|m6
| 12/7
|m2
| ^M6
|vvA4
d5
|vvM7
d8
|vvM3
d4
|vvM6
|vvM2
|vv5
|vv8
|-
|-
! colspan="2" |Genspan
| 835
!0
| 45/28
!-1
| A5, ^^m6
!-2
! 8
!-3
| 235
!-4
| 8/7
!-5
| ^M2
!-6
!-7
!-8
!-9
!-10
!-11
!-12
|-
|-
! rowspan="3" |2nd
| 130
genchain
| 15/14
!Cents (34edo)
| A1, ^^m2
|600
! 7
|1094
| 730
|388
| 32/21
|882
| ^5
|176
|671
|1165
|459
|953
|247
|741
|35
|529
|-
|-
!Ratio
| 626
|45/32
| 10/7
64/45
| A4, ^^d5
|15/8
! 6
|'''5/4'''
| 26
|5/3
| 81/80, 64/63
|10/9
| ^1
|40/27
|160/81
63/32
|21/16
|'''7/4'''
|7/6
|14/9
|2827
33/32
|'''11/8'''
|-
|-
!Interval
| 1122
|vA4
| 40/21, 21/11
^d5
| M7
|vM7
! 5
^d8
| 522
|vM3
| 27/20
^d4
| ^4
|vM6
|vM2
|v5
|v8
|v4
|vm7
|vm3
|vm6
|vm2
|vd5
|}
{| class="wikitable"
|+Diaschismic's two genchains, with cents in 34edo
! colspan="3" |1st genchain
! rowspan="2" |Genspan
! colspan="3" |2nd genchain
|-
|-
!Cents
| 417
!Ratio
| 14/11
!Interval
| M3
!Cents
! 4
!Ratio
| 1017
!Interval
| 9/5
| ^m7
|-
|-
|282
| 913
|
| 27/16, 56/33
|^^M2
| M6
!14
! 3
|882
| 313
|18/11
| 6/5
|^A5
| ^m3
|-
|-
|776
| 209
|
| 9/8
|^^5
| M2
!13
! 2
|176
| 809
|12/11
| 8/5
|^A1
| vA5, ^m6
|-
|-
|71
| 704
|45/44
| '''3/2'''
|^^1
| P5
!12
! 1
|671
| 104
|16/11
| 16/15
|^A4
| vA1, ^m2
|-
|-
|565
! 0
|15/11
! 1/1
|^^4
! P1
!11
! 0
|1165
| 600
|27/14, 64/33
| 45/32, 64/45
|^M7
| vA4, ^d5
|-
|-
|1059
| 496
|20/11
| 4/3
|^^m7
| P4
!10
! -1
|459
| 1096
|9/7
| 15/8
|^M3
| vM7, ^d8
|-
|-
|353
| 991
|40/33
| 16/9
|^^m3
| m7
!9
! -2
|953
| 391
|12/7
| '''5/4'''
|^M6
| vM3, ^d4
|-
|-
|847
| 287
|45/28
| 32/27, 33/28
|A5, ^^m6
| m3
!8
! -3
|247
| 887
|8/7
| 5/3
|^M2
| vM6, ^d7
|-
|-
|141
| 783
|15/14
| 11/7
|A1, ^^m2
| m6, vvA5
!7
! -4
|741
| 183
|32/21
| 10/9
|^5
| vM2
|-
|-
|635
| 78
|10/7
| 22/21, 21/20
|A4, ^^d5
| m2
!6
! -5
|35
| 678
|81/80, 64/63
| 40/27
|^1
| v5
|-
|-
|1129
| 574
|21/11, 40/21
| 7/5
|M7
| d5, vvA4
!5
! -6
|529
| 1174
|27/20
| 160/81, 63/32
|^4
| v8
|-
|-
|424
| 1070
|14/11
| 28/15
|M3
| d8, vvM7
!4
! -7
|1024
| 470
|9/5
| 21/16
|^m7
| v4
|-
|-
|918
| 365
|27/16, 56/33
| 56/45
|M6
| d4, vvM3
!3
! -8
|318
| 965
|6/5
| '''7/4'''
|^m3
| vm7
|-
|-
|212
| 861
|9/8
| 33/20
|M2
| vvM6
!2
! -9
|812
| 261
|8/5
| 7/6
|vA5, ^m6
| vm3
|-
|-
|706
| 157
|'''3/2'''
| 11/10
|P5
| vvM2
!1
! -10
|106
| 757
|16/15
| 14/9
|vA1, ^m2
| vm6
|-
|-
|0
| 652
|'''1/1'''
| 22/15
|P1
| vv5
!0
! -11
|600
| 52
|45/32, 64/45
| 28/27, 33/32
|vA4, ^d5
| vm2, vvvA1
|-
|-
|494
| 1148
|4/3
| 88/45
|P4
| vv8
!-1
! -12
|1094
| 548
|15/8
| '''11/8'''
|vM7, vd8
| vd5, vvvA4
|-
|-
|988
| 443
|16/9
|  
|m7
| vv4
!-2
! -13
|388
| 1043
|'''5/4'''
| 11/6
|vM3, ^d4
| vd8, vvvM7
|-
|-
|282
| 939
|32/27, 33/28
|  
|m3
| vvm7
!-3
! -14
|882
| 339
|5/3
| 11/9
|vM6
| vd4, vvvM3
|-
|776
|11/7
|m6
!-4
|176
|10/9
|vM2
|-
|71
|22/21, 21/20
|m2
!-5
|671
|40/27
|v5
|-
|565
|7/5
|d5, vvA4
!-6
|1165
|160/81, 63/32
|v8
|-
|1059
|28/15
|d8, vvM7
!-7
|459
|21/16
|v4
|-
|353
|56/45
|d4, vvM3
!-8
|953
|'''7/4'''
|vm7
|-
|847
|33/20
|vvM6
!-9
|247
|7/6
|vm3
|-
|141
|11/10
|vvM2
!-10
|741
|14/9
|vm6
|-
|635
|22/15
|vv5
!-11
|35
|28/27, 33/32
|vm2
|-
|1129
|88/45
|vv8
!-12
|529
|'''11/8'''
|vd5
|-
|424
|
|vv4
!-13
|1024
|11/6
|vd8
|-
|918
|
|vvm7
!-14
|318
|11/9
|vd4
|}
|}
In the genspans columns below, those on the 2nd genchain are marked with an apostrophe, thus 4 = M3 and 4' = ^m7.
 
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'''''
'''''TODO: Complete the tables'''''


== Triads ==
== Triads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 510: Line 268:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! As (sub)harmonics
!Name
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 519: Line 278:
| 1-4/3-16/9
| 1-4/3-16/9
| ambitonal
| ambitonal
|1-4/3-3/2
| 1-4/3-3/2
1-9/8-3/2
1-9/8-3/2
|0 -1 1
| 6:8:9 = 12/9/8
8:9:12 = 9/8/6
| 0 -1 1
0 2 1
0 2 1
|C4
| C4
C2
C2
| 4
| 4
Line 531: Line 292:
| 1-4/3-5/3
| 1-4/3-5/3
| otonal
| otonal
|1-5/4-3/2
| 1-5/4-3/2
|0 -2' 1
| 4:5:6
|Cv
| 0 -2' 1
| Cv
| 6
| 6
|-
|-
Line 540: Line 302:
| 1-5/4-5/3
| 1-5/4-5/3
| utonal
| utonal
|1-6/5-3/2
| 1-6/5-3/2
|0 3' 1
| 6/5/4
|C^m
| 0 3' 1
| C^m
| 6
| 6
|-
|-
Line 549: Line 312:
| 1-4/3-10/9
| 1-4/3-10/9
| otonal
| otonal
|1-6/5-9/5
| 1-6/5-9/5
|0 3' 4'
| 5:6:9
|C^m7no5
| 0 3' 4'
| C^m7no5
| 8
| 8
|-
|-
Line 558: Line 322:
| 1-5/4-10/9
| 1-5/4-10/9
| utonal
| utonal
|1-5/4-20/9
| 1-5/4-20/9
1-9/5-9/4
1-9/5-9/4
|0 -2' -4'
| 20/16/9
9/5/4
| 0 -2' -4'
0 4' 2
0 4' 2
|Cv,v9no5
| Cv,v9no5
C^9no35
C^9no35
| 8
| 8
Line 570: Line 336:
| 1-16/9-10/9
| 1-16/9-10/9
| otonal
| otonal
|1-5/4-9/4
| 1-5/4-9/4
|0 -2' 2
| 4:5:9
|Cv,9no5
| 0 -2' 2
| Cv,9no5
| 8
| 8
|-
|-
Line 579: Line 346:
| 1-5/3-10/9
| 1-5/3-10/9
| utonal
| utonal
|1-3/2-9/5
| 1-3/2-9/5
|0 1 4'
| 9/6/5
|C^m7no3
| 0 1 4'
| C^m7no3
| 8
| 8
|-
|-
Line 588: Line 356:
| 1-5/4-11/7
| 1-5/4-11/7
| valinorsmic
| valinorsmic
|1-5/4-11/7
| 1-5/4-11/7
1-5/4-8/5
1-5/4-8/5


1-14/11-8/5
1-14/11-8/5
|0 -2' -4
|
| 0 -2' -4
0 -2' 2'
0 -2' 2'


0 4 -2'
0 4 2'
|Cv(vv#5)
| Cv(vv#5)
Cv(v#5)
Cv(v#5)


Line 606: Line 375:
| 1-16/9-11/7
| 1-16/9-11/7
| pentacircle
| pentacircle
|1-9/8-14/11
| 1-9/8-14/11
|0 2 4
|
|C,9no5
| 0 2 4
| C,9no5
| 8
| 8
|-
|-
Line 615: Line 385:
| 1-5/4-7/5
| 1-5/4-7/5
| starling
| starling
|1-5/4-7/5
| 1-5/4-7/5
|0 -2' -6
|
|Cv(b5)
| 0 -2' -6
| Cv(b5)
| 12
| 12
|-
|-
Line 624: Line 395:
| 1-16/9-7/5
| 1-16/9-7/5
| werckismic
| werckismic
|1-14/11-10/7
| 1-14/11-10/7
|0 4 6
|
|C(^^b5)
| 0 4 6
| C(^^b5)
| 12
| 12
|-
|-
Line 633: Line 405:
| 1-5/3-7/5
| 1-5/3-7/5
| starling
| starling
|1-6/5-10/7
| 1-6/5-10/7
|0 3' 6
|
|C^m(^^d5)
| 0 3' 6
| C^m(^^d5)
| 12
| 12
|-
|-
Line 642: Line 415:
| 1-10/9-7/5
| 1-10/9-7/5
| starling
| starling
|1-10/9-7/5
| 1-10/9-7/5
|0 -4' -6
|
|Cv2(b5)
| 0 -4' -6
| Cv2(b5)
| 12
| 12
|-
|-
Line 651: Line 425:
| 1-11/7-7/5
| 1-11/7-7/5
| werckismic
| werckismic
|1-14/11-16/9
| 1-14/11-16/9
|0 4 -2
|
|C7no5
| 0 4 -2
| C7no5
| 12
| 12
|-
|-
Line 660: Line 435:
| 1-5/4-7/4
| 1-5/4-7/4
| otonal
| otonal
|1-5/4-7/4
| 1-5/4-7/4
|0 -2' -8'
| 4:5:7
|Cv7no5
| 0 -2' -8'
| Cv7no5
| 16
| 16
|-
|-
Line 669: Line 445:
| 1-10/9-7/4
| 1-10/9-7/4
| werckismic
| werckismic
|1-10/9-7/4
| 1-10/9-7/4
1-8/7-14/11
1-8/7-14/11
|0 -4' -8'
|
| 0 -4' -8'
0 8' 4
0 8' 4
|Cv7v9no35
| Cv7v9no35
C,^9no5
C,^9no5
| 16
| 16
Line 681: Line 458:
| 1-11/7-7/4
| 1-11/7-7/4
| werckismic
| werckismic
|1-9/5-16/7
| 1-9/5-16/7
1-10/9-14/11
1-10/9-14/11
|0 4' 8'
|
| 0 4' 8'
0 -4' 4
0 -4' 4
|C^7^9no35
| C^7^9no35
C,v9no5
C,v9no5
| 16
| 16
Line 693: Line 471:
| 1-7/5-7/4
| 1-7/5-7/4
| utonal
| utonal
|1-5/4-10/7
| 1-5/4-10/7
|0 -2' 6
| 10/8/7
|Cv(^^b5)
| 0 -2' 6
| Cv(^^b5)
| 16
| 16
|-
|-
Line 702: Line 481:
| 1-4/3-7/6
| 1-4/3-7/6
| otonal
| otonal
|1-3/2-7/4
| 1-3/2-7/4
|0 1 -8'
| 4:6:7
|Cv7no3
| 0 1 -8'
| Cv7no3
| 18
| 18
|-
|-
Line 711: Line 491:
| 1-5/3-7/6
| 1-5/3-7/6
| otonal
| otonal
|1-7/6-5/3
| 1-7/6-5/3
1-6/5-7/5
1-6/5-7/5
|0 -9' -3'
| 6:7:10
5:6:7
| 0 -9' -3'
0 3' -6
0 3' -6
|Cvm6no5
| Cvm6no5
C^dim
C^dim
| 18
| 18
Line 723: Line 505:
| 1-7/5-7/6
| 1-7/5-7/6
| utonal
| utonal
|1-7/6-7/5
| 1-7/6-7/5
1-6/5-12/7
1-6/5-12/7
|0 -9' -6
| 7/6/5
12/10/7
| 0 -9' -6
0 3' 9'
0 3' 9'
|Cvdim
| Cvdim
C^m6no5
C^m6no5
| 18
| 18
Line 735: Line 519:
| 1-7/4-7/6
| 1-7/4-7/6
| utonal
| utonal
|1-7/6-7/4
| 1-7/6-7/4
|0 -9' -8'
| 7/6/4
|Cvm7no5
| 0 -9' -8'
| Cvm7no5
| 18
| 18
|-
|-
Line 744: Line 529:
| 1-5/4-11/10
| 1-5/4-11/10
| valinorsmic
| valinorsmic
|1-5/4-11/5
| 1-5/4-11/5
1-20/11-16/7
1-20/11-16/7
|0 -2' -10
|
| 0 -2' -10
0 10 8'
0 10 8'
|Cv,vv9no5
| Cv,vv9no5
C^^7^9no35
C^^7^9no35
| 20
| 20
Line 756: Line 542:
| 1-11/7-11/10
| 1-11/7-11/10
| utonal
| utonal
|1-14/11-7/5
| 1-14/11-7/5
|0 4 -6
| 14/11/10
|C(b5)
| 0 4 -6
| C(b5)
| 20
| 20
|-
|-
Line 765: Line 552:
| 1-7/5-11/10
| 1-7/5-11/10
| otonal
| otonal
|1-11/10-7/5
| 1-11/10-7/5
1-14/11-20/11
1-14/11-20/11
|0 -10 -6
| 10:11:14
11:14:20
| 0 -10 -6
0 4 10
0 4 10
|Cvv2(b5)
| Cvv2(b5)
C,^^7no5
C,^^7no5
| 20
| 20
Line 777: Line 566:
| 1-7/4-11/10
| 1-7/4-11/10
| valinorsmic
| valinorsmic
|1-7/4-11/5
| 1-7/4-11/5
1-5/4-45/28
1-5/4-45/28
|0 -8' -10
|
| 0 -8' -10
0 -2' 8'
0 -2' 8'
|Cv7vv9no35
| Cv7vv9no35
Cv,v9no5
Cv,v9no5
| 20
| 20
Line 789: Line 579:
| 1-4/3-14/9
| 1-4/3-14/9
| otonal
| otonal
|1-7/6-3/2
| 1-7/6-3/2
|0 -9' 1
| 6:7:9
|Cvm
| 0 -9' 1
| Cvm
| 20
| 20
|-
|-
Line 798: Line 589:
| 1-16/9-14/9
| 1-16/9-14/9
| otonal
| otonal
|1-7/4-9/4
| 1-7/4-9/4
1-9/7-16/7
1-9/7-16/7
|0 -8' 2
| 4:7:9
7:9:16
| 0 -8' 2
0 10' 8'
0 10' 8'
|Cv9no35
| Cv9no35
C^,^9no5
C^,^9no5
| 20
| 20
Line 810: Line 603:
| 1-10/9-14/9
| 1-10/9-14/9
| otonal
| otonal
|1-9/7-10/7
| 1-9/7-10/7
|0 10' 6
| 7:9:10
|C^(^^b5)
| 0 10' 6
| C^(^^b5)
| 20
| 20
|-
|-
Line 819: Line 613:
| 1-7/5-14/9
| 1-7/5-14/9
| utonal
| utonal
|1-9/7-9/5
| 1-9/7-9/5
|0 10' 4'
| 9/7/5
|C^7no5
| 0 10' 4'
| C^7no5
| 20
| 20
|-
|-
Line 828: Line 623:
| 1-7/4-14/9
| 1-7/4-14/9
| utonal
| utonal
|1-9/7-9/4
| 1-9/7-9/4
1-8/7-16/9
1-8/7-16/9
|0 10' 2
| 9/7/4
16/14/9
| 0 10' 2
0 8' -2
0 8' -2
|C^,9no5
| C^,9no5
C^2,7no5
C^2,7no5
| 20
| 20
Line 840: Line 637:
| 1-7/6-14/9
| 1-7/6-14/9
| utonal
| utonal
|1-9/7-3/2
| 1-9/7-3/2
|0 10' 1
| 9/7/6
|C^
| 0 10' 1
| C^
| 20
| 20
|-
|-
Line 849: Line 647:
| 1-5/4-11/8
| 1-5/4-11/8
| otonal
| otonal
|1-5/4-11/8
| 1-5/4-11/8
|0 -2' -12'
| 8:10:11
|Cv(vb5)
| 0 -2' -12'
| Cv(vb5)
| 24
| 24
|-
|-
Line 858: Line 657:
| 1-16/9-11/8
| 1-16/9-11/8
| pentacircle
| pentacircle
|1-9/7-16/11
| 1-9/7-16/11
|0 10' 12'
|
|C^,^#11no5
| 0 10' 12'
| C^,^#11no5
| 24
| 24
|-
|-
Line 867: Line 667:
| 1-11/7-11/8
| 1-11/7-11/8
| utonal
| utonal
|1-14/11-7/4
| 1-14/11-7/4
|0 4 -8'
| 14/11/8
|C,v7no5
| 0 4 -8'
| C,v7no5
| 24
| 24
|-
|-
Line 876: Line 677:
| 1-7/4-11/8
| 1-7/4-11/8
| otonal
| otonal
|1-14/11-16/11
| 1-14/11-16/11
|0 4 12'
| 11:14:16
|C,^#11no5
| 0 4 12'
| C,^#11no5
| 24
| 24
|-
|-
Line 885: Line 687:
| 1-11/10-11/8
| 1-11/10-11/8
| utonal
| utonal
|1-11/10-11/8
| 1-11/10-11/8
1-5/4-20/11
1-5/4-20/11
|0 -10 -12'
| 11/10/8
20/16/11
| 0 -10 -12'
0 -2' 10
0 -2' 10
|Cvv2(vb5)
| Cvv2(vb5)
Cv,^^7no5
Cv^^7no5
| 24
| 24
|-
|-
Line 897: Line 701:
| 1-14/9-11/8
| 1-14/9-11/8
| pentacircle
| pentacircle
|1-9/7-16/9
| 1-9/7-16/9
|0 10' -2
|
|C^,7no5
| 0 10' -2
| C^,7no5
| 24
| 24
|-
|-
Line 906: Line 711:
| 1-4/3-11/6
| 1-4/3-11/6
| otonal
| otonal
|1-11/8-3/2
| 1-11/8-3/2
|0 -12' 1
| 8:11:12
|C,vd5no3
| 0 -12' 1
| C,vd5no3
| 26
| 26
|-
|-
Line 915: 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 924: 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 933: 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 942: 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 951: 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 960: 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 969: 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 978: 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 987: 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 996: 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 1,005: 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 1,014: 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 1,023: 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 1,032: 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 1,041: 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 1,055: Line 898:
! Transversal
! Transversal
! Type
! Type
! Ratios
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 1,061: 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 1,067: 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 1,073: 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 1,079: 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 1,085: 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 1,091: 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 1,097: 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 1,103: 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 1,109: 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 1,115: 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 1,121: 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 1,127: 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 1,133: 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 1,139: 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 1,145: 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 1,151: 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 1,157: 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 1,163: Line 1,072:
| 1-5/4-11/7-11/10
| 1-5/4-11/7-11/10
| valinorsmic
| valinorsmic
|
|
|
| 20
| 20
|-
|-
Line 1,169: Line 1,081:
| 1-5/4-7/5-11/10
| 1-5/4-7/5-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 1,175: Line 1,090:
| 1-11/7-7/5-11/10
| 1-11/7-7/5-11/10
| werckismic
| werckismic
|
|
|
| 20
| 20
|-
|-
Line 1,181: Line 1,099:
| 1-5/4-7/4-11/10
| 1-5/4-7/4-11/10
| valinorsmic
| valinorsmic
|
|
|
| 20
| 20
|-
|-
Line 1,187: Line 1,108:
| 1-11/7-7/4-11/10
| 1-11/7-7/4-11/10
| thrush
| thrush
|
|
|
| 20
| 20
|-
|-
Line 1,193: Line 1,117:
| 1-7/5-7/4-11/10
| 1-7/5-7/4-11/10
| valinorsmic
| valinorsmic
|
|
|
| 20
| 20
|-
|-
Line 1,199: Line 1,126:
| 1-4/3-16/9-14/9
| 1-4/3-16/9-14/9
| otonal
| otonal
|
|
|
| 20
| 20
|-
|-
Line 1,205: Line 1,135:
| 1-4/3-10/9-14/9
| 1-4/3-10/9-14/9
| otonal
| otonal
|
|
|
| 20
| 20
|-
|-
Line 1,211: Line 1,144:
| 1-16/9-10/9-14/9
| 1-16/9-10/9-14/9
| otonal
| otonal
|
|
|
| 20
| 20
|-
|-
Line 1,217: Line 1,153:
| 1-16/9-7/5-14/9
| 1-16/9-7/5-14/9
| werckismic
| werckismic
|
|
|
| 20
| 20
|-
|-
Line 1,223: Line 1,162:
| 1-10/9-7/5-14/9
| 1-10/9-7/5-14/9
| starling
| starling
|
|
|
| 20
| 20
|-
|-
Line 1,229: Line 1,171:
| 1-10/9-7/4-14/9
| 1-10/9-7/4-14/9
| werckismic
| werckismic
|
|
|
| 20
| 20
|-
|-
Line 1,235: Line 1,180:
| 1-7/5-7/4-14/9
| 1-7/5-7/4-14/9
| utonal
| utonal
|
|
|
| 20
| 20
|-
|-
Line 1,241: Line 1,189:
| 1-4/3-7/6-14/9
| 1-4/3-7/6-14/9
| ambitonal
| ambitonal
|
|
|
| 20
| 20
|-
|-
Line 1,247: Line 1,198:
| 1-7/5-7/6-14/9
| 1-7/5-7/6-14/9
| utonal
| utonal
|
|
|
| 20
| 20
|-
|-
Line 1,253: Line 1,207:
| 1-7/4-7/6-14/9
| 1-7/4-7/6-14/9
| utonal
| utonal
|
|
|
| 20
| 20
|-
|-
Line 1,259: Line 1,216:
| 1-5/4-11/7-11/8
| 1-5/4-11/7-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 1,265: Line 1,225:
| 1-16/9-11/7-11/8
| 1-16/9-11/7-11/8
| pentacircle
| pentacircle
|
|
|
| 24
| 24
|-
|-
Line 1,271: Line 1,234:
| 1-5/4-7/4-11/8
| 1-5/4-7/4-11/8
| otonal
| otonal
|
|
|
| 24
| 24
|-
|-
Line 1,277: Line 1,243:
| 1-11/7-7/4-11/8
| 1-11/7-7/4-11/8
| werckismic
| werckismic
|
|
|
| 24
| 24
|-
|-
Line 1,283: Line 1,252:
| 1-5/4-11/10-11/8
| 1-5/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 1,289: Line 1,261:
| 1-11/7-11/10-11/8
| 1-11/7-11/10-11/8
| utonal
| utonal
|
|
|
| 24
| 24
|-
|-
Line 1,295: Line 1,270:
| 1-7/4-11/10-11/8
| 1-7/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|
|
| 24
| 24
|-
|-
Line 1,301: Line 1,279:
| 1-16/9-14/9-11/8
| 1-16/9-14/9-11/8
| pentacircle
| pentacircle
|
|
|
| 24
| 24
|-
|-
Line 1,307: Line 1,288:
| 1-7/4-14/9-11/8
| 1-7/4-14/9-11/8
| pentacircle
| pentacircle
|
|
|
| 24
| 24
|-
|-
Line 1,313: Line 1,297:
| 1-4/3-5/3-11/6
| 1-4/3-5/3-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 1,319: Line 1,306:
| 1-4/3-7/6-11/6
| 1-4/3-7/6-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 1,325: Line 1,315:
| 1-5/3-7/6-11/6
| 1-5/3-7/6-11/6
| otonal
| otonal
|
|
|
| 26
| 26
|-
|-
Line 1,331: Line 1,324:
| 1-11/7-11/10-11/6
| 1-11/7-11/10-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 1,337: Line 1,333:
| 1-11/7-11/8-11/6
| 1-11/7-11/8-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 1,343: Line 1,342:
| 1-11/10-11/8-11/6
| 1-11/10-11/8-11/6
| utonal
| utonal
|
|
|
| 26
| 26
|-
|-
Line 1,349: Line 1,351:
| 1-4/3-16/9-11/9
| 1-4/3-16/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 1,355: Line 1,360:
| 1-4/3-10/9-11/9
| 1-4/3-10/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 1,361: Line 1,369:
| 1-16/9-10/9-11/9
| 1-16/9-10/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 1,367: Line 1,378:
| 1-16/9-11/7-11/9
| 1-16/9-11/7-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 1,373: Line 1,387:
| 1-16/9-7/5-11/9
| 1-16/9-7/5-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,379: Line 1,396:
| 1-10/9-7/5-11/9
| 1-10/9-7/5-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,385: Line 1,405:
| 1-11/7-7/5-11/9
| 1-11/7-7/5-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,391: Line 1,414:
| 1-10/9-7/4-11/9
| 1-10/9-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,397: Line 1,423:
| 1-11/7-7/4-11/9
| 1-11/7-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,403: Line 1,432:
| 1-7/5-7/4-11/9
| 1-7/5-7/4-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,409: Line 1,441:
| 1-11/7-11/10-11/9
| 1-11/7-11/10-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,415: Line 1,450:
| 1-7/5-11/10-11/9
| 1-7/5-11/10-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,421: Line 1,459:
| 1-7/4-11/10-11/9
| 1-7/4-11/10-11/9
| thrush
| thrush
|
|
|
| 28
| 28
|-
|-
Line 1,427: Line 1,468:
| 1-4/3-14/9-11/9
| 1-4/3-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 1,433: Line 1,477:
| 1-16/9-14/9-11/9
| 1-16/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 1,439: Line 1,486:
| 1-10/9-14/9-11/9
| 1-10/9-14/9-11/9
| otonal
| otonal
|
|
|
| 28
| 28
|-
|-
Line 1,445: Line 1,495:
| 1-7/5-14/9-11/9
| 1-7/5-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,451: Line 1,504:
| 1-7/4-14/9-11/9
| 1-7/4-14/9-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,457: Line 1,513:
| 1-16/9-11/8-11/9
| 1-16/9-11/8-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 1,463: Line 1,522:
| 1-11/7-11/8-11/9
| 1-11/7-11/8-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,469: Line 1,531:
| 1-7/4-11/8-11/9
| 1-7/4-11/8-11/9
| werckismic
| werckismic
|
|
|
| 28
| 28
|-
|-
Line 1,475: Line 1,540:
| 1-11/10-11/8-11/9
| 1-11/10-11/8-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,481: Line 1,549:
| 1-14/9-11/8-11/9
| 1-14/9-11/8-11/9
| pentacircle
| pentacircle
|
|
|
| 28
| 28
|-
|-
Line 1,487: Line 1,558:
| 1-4/3-11/6-11/9
| 1-4/3-11/6-11/9
| ambitonal
| ambitonal
|
|
|
| 28
| 28
|-
|-
Line 1,493: Line 1,567:
| 1-11/7-11/6-11/9
| 1-11/7-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,499: Line 1,576:
| 1-11/10-11/6-11/9
| 1-11/10-11/6-11/9
| utonal
| utonal
|
|
|
| 28
| 28
|-
|-
Line 1,505: 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 1,516: Line 1,598:
! Transversal
! Transversal
! Type
! Type
! Ratios
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 1,522: 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 1,528: 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 1,534: 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 1,540: 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 1,546: 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 1,552: 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 1,558: 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 1,564: 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 1,570: 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 1,576: 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 1,582: 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 1,588: 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 1,594: 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 1,600: 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 1,606: 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 1,612: 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 1,618: 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 1,624: 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 1,630: 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 1,636: 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 1,642: 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 1,648: 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 1,654: 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 1,660: 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 1,666: 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 1,672: 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 1,678: 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 1,684: 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 1,690: 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 1,696: 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 1,702: 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 1,708: 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 1,714: 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 1,720: 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 1,726: 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 1,732: 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 1,738: 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 1,744: 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 1,750: 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 1,756: 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 1,762: 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 1,773: Line 1,980:
! Transversal
! Transversal
! Type
! Type
! Ratios
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 1,779: 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 1,785: 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 1,791: 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 1,797: 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 1,803: 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 1,809: 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 1,815: 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 1,821: 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
|}
|}
Retrieved from "https://en.xen.wiki/w/Diaschismic/Chords"