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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 46edo, c = 4.3¢ and ^1 = 1\46 = 26.1¢.  
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, 5/4 = vM3, 7/4 = vm7 and 11/8 = vd5 or vvvA4. Thus ^1 equals ~81/80 and ~64/63 and ~[[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 A4 > d5. If A4 < d5, the arrows flip direction.
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.
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, with cents in 46edo
|+ style="font-size: 105%;" | Diaschismic's two genchains, with cents in 46edo
! colspan="3" |1st genchain
! rowspan="2" |Genspan
! colspan="3" |2nd genchain
|-
|-
!Cents
! colspan="3" | 1st genchain
!Ratio
! rowspan="2" | Genspan
!Interval
! colspan="3" | 2nd genchain
!Cents
!Ratio
!Interval
|-
|-
|261
! Cents
|
! Ratio
|^^M2
! Interval
!14
! Cents
|861
! Ratio
|18/11
! Interval
|^A5, ^^^m6
|-
|-
|757
| 261
|
|  
|^^5
| ^^M2
!13
! 14
|157
| 861
|12/11
| 18/11
|^A1, ^^^m2
| ^A5, ^^^m6
|-
|-
|52
| 757
|45/44
|  
|^^1
| ^^5
!12
! 13
|652
| 157
|16/11
| 12/11
|^A4, ^^^d5
| ^A1, ^^^m2
|-
|-
|548
| 52
|15/11
| 45/44
|^^4
| ^^1
!11
! 12
|1148
| 652
|27/14, 64/33
| 16/11
|^M7, ^^^d8
| ^A4, ^^^d5
|-
|-
|1043
| 548
|20/11
| 15/11
|^^m7
| ^^4
!10
! 11
|443
| 1148
|9/7
| 27/14, 64/33
|^M3
| ^M7, ^^^d8
|-
|-
|339
| 1043
|40/33
| 20/11
|^^m3
| ^^m7
!9
! 10
|939
| 443
|12/7
| 9/7
|^M6
| ^M3
|-
|-
|835
| 339
|45/28
| 40/33
|A5, ^^m6
| ^^m3
!8
! 9
|235
| 939
|8/7
| 12/7
|^M2
| ^M6
|-
|-
|130
| 835
|15/14
| 45/28
|A1, ^^m2
| A5, ^^m6
!7
! 8
|730
| 235
|32/21
| 8/7
|^5
| ^M2
|-
|-
|626
| 130
|10/7
| 15/14
|A4, ^^d5
| A1, ^^m2
!6
! 7
|26
| 730
|81/80, 64/63
| 32/21
|^1
| ^5
|-
| 626
| 10/7
| A4, ^^d5
! 6
| 26
| 81/80, 64/63
| ^1
|-
|-
|1122
| 1122
|40/21, 21/11
| 40/21, 21/11
|M7
| M7
!5
! 5
|522
| 522
|27/20
| 27/20
|^4
| ^4
|-
|-
|417
| 417
|14/11
| 14/11
|M3
| M3
!4
! 4
|1017
| 1017
|9/5
| 9/5
|^m7
| ^m7
|-
|-
|913
| 913
|27/16, 56/33
| 27/16, 56/33
|M6
| M6
!3
! 3
|313
| 313
|6/5
| 6/5
|^m3
| ^m3
|-
|-
|209
| 209
|9/8
| 9/8
|M2
| M2
!2
! 2
|809
| 809
|8/5
| 8/5
|vA5, ^m6
| vA5, ^m6
|-
|-
|704
| 704
|'''3/2'''
| '''3/2'''
|P5
| P5
!1
! 1
|104
| 104
|16/15
| 16/15
|vA1, ^m2
| vA1, ^m2
|-
|-
!0
! 0
!1/1
! 1/1
!P1
! P1
!0
! 0
|600
| 600
|45/32, 64/45
| 45/32, 64/45
|vA4, ^d5
| vA4, ^d5
|-
|-
|496
| 496
|4/3
| 4/3
|P4
| P4
!-1
! -1
|1096
| 1096
|15/8
| 15/8
|vM7, ^d8
| vM7, ^d8
|-
|-
|991
| 991
|16/9
| 16/9
|m7
| m7
!-2
! -2
|391
| 391
|'''5/4'''
| '''5/4'''
|vM3, ^d4
| vM3, ^d4
|-
|-
|287
| 287
|32/27, 33/28
| 32/27, 33/28
|m3
| m3
!-3
! -3
|887
| 887
|5/3
| 5/3
|vM6, ^d7
| vM6, ^d7
|-
|-
|783
| 783
|11/7
| 11/7
|m6, vvA5
| m6, vvA5
!-4
! -4
|183
| 183
|10/9
| 10/9
|vM2
| vM2
|-
|-
|78
| 78
|22/21, 21/20
| 22/21, 21/20
|m2
| m2
!-5
! -5
|678
| 678
|40/27
| 40/27
|v5
| v5
|-
|-
|574
| 574
|7/5
| 7/5
|d5, vvA4
| d5, vvA4
!-6
! -6
|1174
| 1174
|160/81, 63/32
| 160/81, 63/32
|v8
| v8
|-
|-
|1070
| 1070
|28/15
| 28/15
|d8, vvM7
| d8, vvM7
!-7
! -7
|470
| 470
|21/16
| 21/16
|v4
| v4
|-
|-
|365
| 365
|56/45
| 56/45
|d4, vvM3
| d4, vvM3
!-8
! -8
|965
| 965
|'''7/4'''
| '''7/4'''
|vm7
| vm7
|-
|-
|861
| 861
|33/20
| 33/20
|vvM6
| vvM6
!-9
! -9
|261
| 261
|7/6
| 7/6
|vm3
| vm3
|-
|-
|157
| 157
|11/10
| 11/10
|vvM2
| vvM2
!-10
! -10
|757
| 757
|14/9
| 14/9
|vm6
| vm6
|-
|-
|652
| 652
|22/15
| 22/15
|vv5
| vv5
!-11
! -11
|52
| 52
|28/27, 33/32
| 28/27, 33/32
|vm2, vvvA1
| vm2, vvvA1
|-
|-
|1148
| 1148
|88/45
| 88/45
|vv8
| vv8
!-12
! -12
|548
| 548
|'''11/8'''
| '''11/8'''
|vd5, vvvA4
| vd5, vvvA4
|-
|-
|443
| 443
|
|  
|vv4
| vv4
!-13
! -13
|1043
| 1043
|11/6
| 11/6
|vd8, vvvM7
| vd8, vvvM7
|-
|-
|939
| 939
|
|  
|vvm7
| vvm7
!-14
! -14
|339
| 339
|11/9
| 11/9
|vd4, vvvM3
| vd4, vvvM3
|}
|}
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 267: Line 268:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! As (sub)harmonics
!Name
! Genspans
! Name
! Complexity
! Complexity
|-
|-
Line 276: 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 288: 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 297: 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 306: 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 315: 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 327: 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 336: 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 345: 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 363: 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 372: 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 381: 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 390: 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 399: 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 408: 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 417: 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 426: 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 438: 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 450: 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 459: 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 468: 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 480: 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 492: 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 501: 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 513: 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 522: 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 534: 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 546: 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 555: 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 567: 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 576: 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 585: 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 597: 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 606: 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 615: 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 624: 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 633: 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 642: 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 654: 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 663: 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 672: Line 721:
| 1-5/3-11/6
| 1-5/3-11/6
| otonal
| otonal
|1-6/5-11/5
| 1-6/5-11/5
|0 3' -10
| 5:6:11
|C^mvv9no5
| 0 3' -10
| C^mvv9no5
| 26
| 26
|-
|-
Line 681: Line 731:
| 1-11/7-11/6
| 1-11/7-11/6
| utonal
| utonal
|1-7/6-14/11
| 1-7/6-14/11
|0 -9' 4
| 14/12/11
|C,vm10no5
| 0 -9' 4
| C,vm10no5
| 26
| 26
|-
|-
Line 690: Line 741:
| 1-7/6-11/6
| 1-7/6-11/6
| otonal
| otonal
|1-7/6-11/6
| 1-7/6-11/6
|0 -9' -13'
| 6:7:11
|CvmvvvM7
| 0 -9' -13'
| CvmvvvM7
| 26
| 26
|-
|-
Line 699: Line 751:
| 1-11/10-11/6
| 1-11/10-11/6
| utonal
| utonal
|1-9/7-12/5
| 1-6/5-24/11
|0 3' 10'
| 24/20/11
|C^,^m10
| 0 3' 13'
| C^m,^^^m9no5
| 26
| 26
|-
|-
Line 708: Line 761:
| 1-11/8-11/6
| 1-11/8-11/6
| utonal
| utonal
|1-4/3-16/11
| 1-4/3-16/11
|0 -1 12'
| 16/12/11
|C4^#11no5
| 0 -1 12'
| C4(^^^b5)
| 26
| 26
|-
|-
Line 717: Line 771:
| 1-4/3-11/9
| 1-4/3-11/9
| otonal
| otonal
|1-3/2-11/6
| 1-3/2-11/6
|0 1 -13'
| 6:9:11
|CvvvM7no3
| 0 1 -13'
| CvvvM7no3
| 28
| 28
|-
|-
Line 726: Line 781:
| 1-16/9-11/9
| 1-16/9-11/9
| otonal
| otonal
|1-11/9-16/9
| 1-11/9-16/9
|0 -14' -2
| 9:11:16
|Cvb4,7no5
| 0 -14' -2
| Cvb4,7no5
| 28
| 28
|-
|-
Line 735: Line 791:
| 1-10/9-11/9
| 1-10/9-11/9
| otonal
| otonal
|1-10/9-11/9
| 1-10/9-11/9
1-11/10-9/5
1-11/10-9/5
|0 -4' -14'
| 9:10:11
10:11:18
| 0 -4' -14'
0 -10 4'
0 -10 4'
|Cv2vb4no5
| Cv2vb4no5
Cvv2,^7
Cvv2,^7no5
| 28
| 28
|-
|-
Line 747: Line 805:
| 1-11/7-11/9
| 1-11/7-11/9
| utonal
| utonal
|1-11/9-11/7
| 1-11/9-11/7
1-14/11-14/9
1-14/11-14/9


1-9/7-18/11
1-9/7-18/11
|0 -14' -4
| 11/9/7
14/11/9
 
18/14/11
| 0 -14' -4
0 4 -10'
0 4 -10'


0 10' 14'
0 10' 14'
|Cvb4b6no5
| Cvb4b6no5
C,vm6no5
C,vm6no5


Line 765: Line 827:
| 1-7/5-11/9
| 1-7/5-11/9
| werckismic
| werckismic
|1-11/9-7/5
| 1-11/9-7/5
|0 -14' -6
|
|Cvb4(b5)
| 0 -14' -6
| Cvb4(b5)
| 28
| 28
|-
|-
Line 774: Line 837:
| 1-7/4-11/9
| 1-7/4-11/9
| werckismic
| werckismic
|1-11/9-7/4
| 1-11/9-7/4
1-8/7-7/5
1-8/7-7/5
|0 -14' -8'
|
| 0 -14' -8'
0 8' -6
0 8' -6
|Cvb4v7no5
| Cvb4v7no5
C^2(b5)
C^2(b5)
| 28
| 28
Line 786: Line 850:
| 1-11/10-11/9
| 1-11/10-11/9
| utonal
| utonal
|1-11/10-11/9
| 1-11/10-11/9
1-20/11-20/9
1-20/11-20/9
|0 -10 -14'
| 11/10/9
20/11/9
| 0 -10 -14'
0 10 -4'
0 10 -4'
|Cvv2vb4no5
| Cvv2vb4no5
C^^7v9no35
C^^7v9no35
| 28
| 28
Line 798: Line 864:
| 1-14/9-11/9
| 1-14/9-11/9
| otonal
| otonal
|1-14/11-18/11
| 1-14/11-18/11
|0 4 14'
| 11:14:18
|C(^#5)
| 0 4 14'
| C(^#5)
| 28
| 28
|-
|-
Line 807: Line 874:
| 1-11/8-11/9
| 1-11/8-11/9
| utonal
| utonal
|1-16/11-16/9
| 1-16/11-16/9
|0 12' -2
| 16/11/9
|C^#4,7no5
| 0 12' -2
| C^#4,7no5
| 28
| 28
|-
|-
Line 816: Line 884:
| 1-11/6-11/9
| 1-11/6-11/9
| utonal
| utonal
|1-11/9-11/6
| 1-11/9-11/6
|0 -14' -13'
| 11/9/6
|CvvvM7no5
| 0 -14' -13'
| CvvvM7no5
| 28
| 28
|}
|}


== Tetrads ==
== Tetrads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 830: Line 898:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 839: 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
| 1-5/4-3/2-9/4
|0 -2' 1 2
| 0 -2' 1 2
|Cv,9
| Cv,9
| 8
| 8
|-
|-
Line 848: 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
| 1-5/4-3/2-5/3
1-6/5-3/2-9/5
1-6/5-3/2-9/5
|0 -2' 1 -3'
| 0 -2' 1 -3'


0 3' 1 4'
0 3' 1 4'
|Cv6
| Cv6


C^m7
C^m7
Line 862: 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
| 1-3/2-9/5-9/4
1-6/5-4/3-3/2
1-6/5-4/3-3/2
|0 1 4' 2
| 0 1 4' 2
0 3' -1 1
0 3' -1 1
|C^9no3
| C^9no3
C^m,4
C^m,4
| 8
| 8
Line 874: 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
| 1-6/5-3/2-5/3
|0 3' 1 -3'
| 0 3' 1 -3'
|C^mv6
| C^mv6
| 12
| 12
|-
|-
Line 883: 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
| 1-5/4-9/5-9/4
|0 -2' 4' 2
| 0 -2' 4' 2
|Cv9(^7)no5
| Cv9(^7)no5
| 12
| 12
|-
|-
Line 892: 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
| 1-5/4-8/5-9/5
|0 -2' 2' 4'
| 0 -2' 2' 4'
|Cv^7(v#5)
| Cv^7(v#5)
| 12
| 12
|-
|-
Line 901: 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
| 1-5/4-3/2-9/5
|0 -2' 1 4'
| 0 -2' 1 4'
|Cv^7
| Cv^7
| 12
| 12
|-
|-
Line 910: 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
| 1-14/11-8/5-16/9
|0 4 2' -2
| 0 4 2' -2
|C7(v#5)
| C7(v#5)
| 12
| 12
|-
|-
Line 919: 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
| 1-14/11-16/9-9/4
|0 4 -2 2
| 0 4 -2 2
|C9no5
| C9no5
| 12
| 12
|-
|-
Line 928: 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
| 1-5/4-7/4-20/9
|0 -2' -8' -4'
| 0 -2' -8' -4'
|Cv7v9no5
| Cv7v9no5
| 16
| 16
|-
|-
Line 937: 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
| 1-5/4-7/4-22/7
|0 -2' -4 -8'
| 0 -2' -4 -8'
|Cv7b13no5
| Cv7b13no5
| 16
| 16
|-
|-
Line 946: 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
| 1-5/4-7/5-7/4
|0 -2' -6 -8'
| 0 -2' -6 -8'
|Cv7(b5)
| Cv7(b5)
| 16
| 16
|-
|-
Line 955: 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
| 1-5/4-11/7-9/5
|0 -2' -4 4'
| 0 -2' -4 4'
|Cv^7(vv#5)
| Cv^7(vv#5)
| 16
| 16
|-
|-
Line 964: 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
| 1-14/11-16/9-20/9
|0 4 -2 -4'
| 0 4 -2 -4'
|C7v9no5
| C7v9no5
| 16
| 16
|-
|-
Line 973: 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
| 1-5/4-3/2-7/4
|0 -2' 1 -8'
| 0 -2' 1 -8'
|Cv7
| Cv7
| 18
| 18
|-
|-
Line 982: 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
| 1-6/5-7/5-5/3
|0 3' -6 -3'
| 0 3' -6 -3'
|C^d7
| C^d7
| 18
| 18
|-
|-
Line 991: 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
| 1-7/6-7/5-7/4
1-6/5-3/2-12/7
1-6/5-3/2-12/7
|0 -9' -6 -8'
| 0 -9' -6 -8'


0 3' 1 9'
0 3' 1 9'
|Cvdv7
| Cvdv7
C^m6
C^m6
| 18
| 18
Line 1,004: Line 1,072:
| 1-5/4-11/7-11/10
| 1-5/4-11/7-11/10
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,013: Line 1,081:
| 1-5/4-7/5-11/10
| 1-5/4-7/5-11/10
| thrush
| thrush
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,022: Line 1,090:
| 1-11/7-7/5-11/10
| 1-11/7-7/5-11/10
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,031: Line 1,099:
| 1-5/4-7/4-11/10
| 1-5/4-7/4-11/10
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,040: Line 1,108:
| 1-11/7-7/4-11/10
| 1-11/7-7/4-11/10
| thrush
| thrush
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,049: Line 1,117:
| 1-7/5-7/4-11/10
| 1-7/5-7/4-11/10
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,058: Line 1,126:
| 1-4/3-16/9-14/9
| 1-4/3-16/9-14/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,067: Line 1,135:
| 1-4/3-10/9-14/9
| 1-4/3-10/9-14/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,076: Line 1,144:
| 1-16/9-10/9-14/9
| 1-16/9-10/9-14/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,085: Line 1,153:
| 1-16/9-7/5-14/9
| 1-16/9-7/5-14/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,094: Line 1,162:
| 1-10/9-7/5-14/9
| 1-10/9-7/5-14/9
| starling
| starling
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,103: Line 1,171:
| 1-10/9-7/4-14/9
| 1-10/9-7/4-14/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,112: Line 1,180:
| 1-7/5-7/4-14/9
| 1-7/5-7/4-14/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,121: Line 1,189:
| 1-4/3-7/6-14/9
| 1-4/3-7/6-14/9
| ambitonal
| ambitonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,130: Line 1,198:
| 1-7/5-7/6-14/9
| 1-7/5-7/6-14/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,139: Line 1,207:
| 1-7/4-7/6-14/9
| 1-7/4-7/6-14/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,148: Line 1,216:
| 1-5/4-11/7-11/8
| 1-5/4-11/7-11/8
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,157: Line 1,225:
| 1-16/9-11/7-11/8
| 1-16/9-11/7-11/8
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,166: Line 1,234:
| 1-5/4-7/4-11/8
| 1-5/4-7/4-11/8
| otonal
| otonal
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,175: Line 1,243:
| 1-11/7-7/4-11/8
| 1-11/7-7/4-11/8
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,184: Line 1,252:
| 1-5/4-11/10-11/8
| 1-5/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,193: Line 1,261:
| 1-11/7-11/10-11/8
| 1-11/7-11/10-11/8
| utonal
| utonal
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,202: Line 1,270:
| 1-7/4-11/10-11/8
| 1-7/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,211: Line 1,279:
| 1-16/9-14/9-11/8
| 1-16/9-14/9-11/8
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,220: Line 1,288:
| 1-7/4-14/9-11/8
| 1-7/4-14/9-11/8
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,229: Line 1,297:
| 1-4/3-5/3-11/6
| 1-4/3-5/3-11/6
| otonal
| otonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,238: Line 1,306:
| 1-4/3-7/6-11/6
| 1-4/3-7/6-11/6
| otonal
| otonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,247: Line 1,315:
| 1-5/3-7/6-11/6
| 1-5/3-7/6-11/6
| otonal
| otonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,256: Line 1,324:
| 1-11/7-11/10-11/6
| 1-11/7-11/10-11/6
| utonal
| utonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,265: Line 1,333:
| 1-11/7-11/8-11/6
| 1-11/7-11/8-11/6
| utonal
| utonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,274: Line 1,342:
| 1-11/10-11/8-11/6
| 1-11/10-11/8-11/6
| utonal
| utonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,283: Line 1,351:
| 1-4/3-16/9-11/9
| 1-4/3-16/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,292: Line 1,360:
| 1-4/3-10/9-11/9
| 1-4/3-10/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,301: Line 1,369:
| 1-16/9-10/9-11/9
| 1-16/9-10/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,310: Line 1,378:
| 1-16/9-11/7-11/9
| 1-16/9-11/7-11/9
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,319: Line 1,387:
| 1-16/9-7/5-11/9
| 1-16/9-7/5-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,328: Line 1,396:
| 1-10/9-7/5-11/9
| 1-10/9-7/5-11/9
| thrush
| thrush
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,337: Line 1,405:
| 1-11/7-7/5-11/9
| 1-11/7-7/5-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,346: Line 1,414:
| 1-10/9-7/4-11/9
| 1-10/9-7/4-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,355: Line 1,423:
| 1-11/7-7/4-11/9
| 1-11/7-7/4-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,364: Line 1,432:
| 1-7/5-7/4-11/9
| 1-7/5-7/4-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,373: Line 1,441:
| 1-11/7-11/10-11/9
| 1-11/7-11/10-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,382: Line 1,450:
| 1-7/5-11/10-11/9
| 1-7/5-11/10-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,391: Line 1,459:
| 1-7/4-11/10-11/9
| 1-7/4-11/10-11/9
| thrush
| thrush
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,400: Line 1,468:
| 1-4/3-14/9-11/9
| 1-4/3-14/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,409: Line 1,477:
| 1-16/9-14/9-11/9
| 1-16/9-14/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,418: Line 1,486:
| 1-10/9-14/9-11/9
| 1-10/9-14/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,427: Line 1,495:
| 1-7/5-14/9-11/9
| 1-7/5-14/9-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,436: Line 1,504:
| 1-7/4-14/9-11/9
| 1-7/4-14/9-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,445: Line 1,513:
| 1-16/9-11/8-11/9
| 1-16/9-11/8-11/9
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,454: Line 1,522:
| 1-11/7-11/8-11/9
| 1-11/7-11/8-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,463: Line 1,531:
| 1-7/4-11/8-11/9
| 1-7/4-11/8-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,472: 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 1,490: Line 1,558:
| 1-4/3-11/6-11/9
| 1-4/3-11/6-11/9
| ambitonal
| ambitonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,499: Line 1,567:
| 1-11/7-11/6-11/9
| 1-11/7-11/6-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,508: Line 1,576:
| 1-11/10-11/6-11/9
| 1-11/10-11/6-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,517: 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 1,531: Line 1,598:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 1,540: 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
| 1-5/4-3/2-9/5-9/4
|0 -2' 1 4' 2
| 0 -2' 1 4' 2
|Cv9(^7)
| Cv9(^7)
| 12
| 12
|-
|-
Line 1,549: 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 1,558: 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 1,567: 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 1,576: 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 1,585: 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 1,594: 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 1,603: 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
| 1-5/4-3/2-7/4-9/4
|0 -2' 1 -8' 2
| 0 -2' 1 -8' 2
|Cv9
| Cv9
| 20
| 20
|-
|-
Line 1,612: 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 1,621: 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 1,630: 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
| 1-9/7-3/2-9/5-9/4
|0 10' 1 4' 2
| 0 10' 1 4' 2
|C^9
| C^9
| 20
| 20
|-
|-
Line 1,639: 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 1,648: 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 1,657: 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 1,666: 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 1,675: 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 1,684: 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 1,693: 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 1,702: 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 1,711: 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 1,720: 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 1,729: 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 1,738: 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 1,747: 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 1,756: 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 1,765: 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 1,774: 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 1,783: 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 1,792: 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 1,801: 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 1,810: 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 1,819: 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 1,828: 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 1,837: 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 1,846: 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 1,855: 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 1,864: 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 1,873: 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 1,882: 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 1,891: 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 1,900: 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 1,914: Line 1,980:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 1,923: 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
| 1-5/4-7/5-7/4-11/5-22/7
|0 -2' -6 -8' -10 -4
| 0 -2' -6 -8' -10 -4
|v7vv9b13(b5)
| v7vv9b13(b5)
| 20
| 20
|-
|-
Line 1,932: 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
| 1-5/4-11/8-7/4-11/5-22/7
|0 -2' -12' -8' -10 -4
| 0 -2' -12' -8' -10 -4
|v7vv9b13(vb5)
| v7vv9b13(vb5)
| 24
| 24
|-
|-
Line 1,941: 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 1,950: 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
| 1-5/4-3/2-7/4-9/4-11/4
|0 -2' 1 -8' 2 -12'
| 0 -2' 1 -8' 2 -12'
|Cv9vvv#11
| Cv9vvv#11
| 28
| 28
|-
|-
Line 1,959: 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 1,968: 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 1,977: 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 1,986: 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
| 1-9/7-3/2-9/5-9/4-18/11
|0 10' 1 4' 2 14'
| 0 10' 1 4' 2 14'
|C^9^^^b6
| C^9^^^b6
| 28
| 28
|}
|}
Retrieved from "https://en.xen.wiki/w/Diaschismic/Chords"