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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.
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.


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 so many other connotations. The enharmonic interval is ^^d2, thus ^^C = B#. One up is 6 mingen generators minus 1 period, which is half a pythagorean comma. ^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 interval 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
|-
|-
|1122
| 626
|40/21, 21/11
| 10/7
|M7
| A4, ^^d5
!5
! 6
|522
| 26
|27/20
| 81/80, 64/63
|^4
| ^1
|-
|-
|417
| 1122
|14/11
| 40/21, 21/11
|M3
| M7
!4
! 5
|1017
| 522
|9/5
| 27/20
|^m7
| ^4
|-
|-
|913
| 417
|27/16, 56/33
| 14/11
|M6
| M3
!3
! 4
|313
| 1017
|6/5
| 9/5
|^m3
| ^m7
|-
|-
|209
| 913
|9/8
| 27/16, 56/33
|M2
| M6
!2
! 3
|809
| 313
|8/5
| 6/5
|vA5, ^m6
| ^m3
|-
|-
|704
| 209
|'''3/2'''
| 9/8
|P5
| M2
!1
! 2
|104
| 809
|16/15
| 8/5
|vA1, ^m2
| vA5, ^m6
|-
|-
!0
| 704
!1/1
| '''3/2'''
!P1
| P5
!0
! 1
|600
| 104
|45/32, 64/45
| 16/15
|vA4, ^d5
| vA1, ^m2
|-
|-
|496
! 0
|4/3
! 1/1
|P4
! P1
!-1
! 0
|1096
| 600
|15/8
| 45/32, 64/45
|vM7, ^d8
| vA4, ^d5
|-
|-
|991
| 496
|16/9
| 4/3
|m7
| P4
!-2
! -1
|391
| 1096
|'''5/4'''
| 15/8
|vM3, ^d4
| vM7, ^d8
|-
|-
|287
| 991
|32/27, 33/28
| 16/9
|m3
| m7
!-3
! -2
|887
| 391
|5/3
| '''5/4'''
|vM6, ^d7
| vM3, ^d4
|-
|-
|783
| 287
|11/7
| 32/27, 33/28
|m6, vvA5
| m3
!-4
! -3
|183
| 887
|10/9
| 5/3
|vM2
| vM6, ^d7
|-
|-
|78
| 783
|22/21, 21/20
| 11/7
|m2
| m6, vvA5
!-5
! -4
|678
| 183
|40/27
| 10/9
|v5
| vM2
|-
|-
|574
| 78
|7/5
| 22/21, 21/20
|d5, vvA4
| m2
!-6
! -5
|1174
| 678
|160/81, 63/32
| 40/27
|v8
| v5
|-
|-
|1070
| 574
|28/15
| 7/5
|d8, vvM7
| d5, vvA4
!-7
! -6
|470
| 1174
|21/16
| 160/81, 63/32
|v4
| v8
|-
|-
|365
| 1070
|56/45
| 28/15
|d4, vvM3
| d8, vvM7
!-8
! -7
|965
| 470
|'''7/4'''
| 21/16
|vm7
| v4
|-
|-
|861
| 365
|33/20
| 56/45
|vvM6
| d4, vvM3
!-9
! -8
|261
| 965
|7/6
| '''7/4'''
|vm3
| vm7
|-
|-
|157
| 861
|11/10
| 33/20
|vvM2
| vvM6
!-10
! -9
|757
| 261
|14/9
| 7/6
|vm6
| vm3
|-
|-
|652
| 157
|22/15
| 11/10
|vv5
| vvM2
!-11
! -10
|52
| 757
|28/27, 33/32
| 14/9
|vm2, vvvA1
| vm6
|-
|-
|1148
| 652
|88/45
| 22/15
|vv8
| vv5
!-12
! -11
|548
| 52
|'''11/8'''
| 28/27, 33/32
|vd5, vvvA4
| vm2, vvvA1
|-
|-
|443
| 1148
|
| 88/45
|vv4
| vv8
!-13
! -12
|1043
| 548
|11/6
| '''11/8'''
|vd8, vvvM7
| vd5, vvvA4
|-
|-
|939
| 443
|
|
|vvm7
| vv4
!-14
! -13
|339
| 1043
|11/9
| 11/6
|vd4, vvvM3
| 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.
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.


Line 260: Line 262:


== Triads ==
== Triads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 267: Line 268:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!As (sub)harmonics
! As (sub)harmonics
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 277: 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
|6:8:9 = 12/9/8
| 6:8:9 = 12/9/8
8:9:12 = 9/8/6
8:9:12 = 9/8/6
|0 -1 1
| 0 -1 1
0 2 1
0 2 1
|C4
| C4
C2
C2
| 4
| 4
Line 291: Line 292:
| 1-4/3-5/3
| 1-4/3-5/3
| otonal
| otonal
|1-5/4-3/2
| 1-5/4-3/2
|4:5:6
| 4:5:6
|0 -2' 1
| 0 -2' 1
|Cv
| Cv
| 6
| 6
|-
|-
Line 301: Line 302:
| 1-5/4-5/3
| 1-5/4-5/3
| utonal
| utonal
|1-6/5-3/2
| 1-6/5-3/2
|6/5/4
| 6/5/4
|0 3' 1
| 0 3' 1
|C^m
| C^m
| 6
| 6
|-
|-
Line 311: Line 312:
| 1-4/3-10/9
| 1-4/3-10/9
| otonal
| otonal
|1-6/5-9/5
| 1-6/5-9/5
|5:6:9
| 5:6:9
|0 3' 4'
| 0 3' 4'
|C^m7no5
| C^m7no5
| 8
| 8
|-
|-
Line 321: 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
|20/16/9
| 20/16/9
9/5/4
9/5/4
|0 -2' -4'
| 0 -2' -4'
0 4' 2
0 4' 2
|Cv,v9no5
| Cv,v9no5
C^9no35
C^9no35
| 8
| 8
Line 335: Line 336:
| 1-16/9-10/9
| 1-16/9-10/9
| otonal
| otonal
|1-5/4-9/4
| 1-5/4-9/4
|4:5:9
| 4:5:9
|0 -2' 2
| 0 -2' 2
|Cv,9no5
| Cv,9no5
| 8
| 8
|-
|-
Line 345: Line 346:
| 1-5/3-10/9
| 1-5/3-10/9
| utonal
| utonal
|1-3/2-9/5
| 1-3/2-9/5
|9/6/5
| 9/6/5
|0 1 4'
| 0 1 4'
|C^m7no3
| C^m7no3
| 8
| 8
|-
|-
Line 355: 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 374: 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
| 0 2 4
|C,9no5
| C,9no5
| 8
| 8
|-
|-
Line 384: 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
| 0 -2' -6
|Cv(b5)
| Cv(b5)
| 12
| 12
|-
|-
Line 394: 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
| 0 4 6
|C(^^b5)
| C(^^b5)
| 12
| 12
|-
|-
Line 404: 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
| 0 3' 6
|C^m(^^d5)
| C^m(^^d5)
| 12
| 12
|-
|-
Line 414: 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
| 0 -4' -6
|Cv2(b5)
| Cv2(b5)
| 12
| 12
|-
|-
Line 424: 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
| 0 4 -2
|C7no5
| C7no5
| 12
| 12
|-
|-
Line 434: Line 435:
| 1-5/4-7/4
| 1-5/4-7/4
| otonal
| otonal
|1-5/4-7/4
| 1-5/4-7/4
|4:5:7
| 4:5:7
|0 -2' -8'
| 0 -2' -8'
|Cv7no5
| Cv7no5
| 16
| 16
|-
|-
Line 444: 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 457: 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 470: Line 471:
| 1-7/5-7/4
| 1-7/5-7/4
| utonal
| utonal
|1-5/4-10/7
| 1-5/4-10/7
|10/8/7
| 10/8/7
|0 -2' 6
| 0 -2' 6
|Cv(^^b5)
| Cv(^^b5)
| 16
| 16
|-
|-
Line 480: Line 481:
| 1-4/3-7/6
| 1-4/3-7/6
| otonal
| otonal
|1-3/2-7/4
| 1-3/2-7/4
|4:6:7
| 4:6:7
|0 1 -8'
| 0 1 -8'
|Cv7no3
| Cv7no3
| 18
| 18
|-
|-
Line 490: 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
|6:7:10
| 6:7:10
5:6:7
5:6:7
|0 -9' -3'
| 0 -9' -3'
0 3' -6
0 3' -6
|Cvm6no5
| Cvm6no5
C^dim
C^dim
| 18
| 18
Line 504: 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
|7/6/5
| 7/6/5
12/10/7
12/10/7
|0 -9' -6
| 0 -9' -6
0 3' 9'
0 3' 9'
|Cvdim
| Cvdim
C^m6no5
C^m6no5
| 18
| 18
Line 518: Line 519:
| 1-7/4-7/6
| 1-7/4-7/6
| utonal
| utonal
|1-7/6-7/4
| 1-7/6-7/4
|7/6/4
| 7/6/4
|0 -9' -8'
| 0 -9' -8'
|Cvm7no5
| Cvm7no5
| 18
| 18
|-
|-
Line 528: 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 541: Line 542:
| 1-11/7-11/10
| 1-11/7-11/10
| utonal
| utonal
|1-14/11-7/5
| 1-14/11-7/5
|14/11/10
| 14/11/10
|0 4 -6
| 0 4 -6
|C(b5)
| C(b5)
| 20
| 20
|-
|-
Line 551: 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
|10:11:14
| 10:11:14
11:14:20
11:14:20
|0 -10 -6
| 0 -10 -6
0 4 10
0 4 10
|Cvv2(b5)
| Cvv2(b5)
C,^^7no5
C,^^7no5
| 20
| 20
Line 565: 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 578: Line 579:
| 1-4/3-14/9
| 1-4/3-14/9
| otonal
| otonal
|1-7/6-3/2
| 1-7/6-3/2
|6:7:9
| 6:7:9
|0 -9' 1
| 0 -9' 1
|Cvm
| Cvm
| 20
| 20
|-
|-
Line 588: 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
|4:7:9
| 4:7:9
7:9:16
7:9:16
|0 -8' 2
| 0 -8' 2
0 10' 8'
0 10' 8'
|Cv9no35
| Cv9no35
C^,^9no5
C^,^9no5
| 20
| 20
Line 602: Line 603:
| 1-10/9-14/9
| 1-10/9-14/9
| otonal
| otonal
|1-9/7-10/7
| 1-9/7-10/7
|7:9:10
| 7:9:10
|0 10' 6
| 0 10' 6
|C^(^^b5)
| C^(^^b5)
| 20
| 20
|-
|-
Line 612: Line 613:
| 1-7/5-14/9
| 1-7/5-14/9
| utonal
| utonal
|1-9/7-9/5
| 1-9/7-9/5
|9/7/5
| 9/7/5
|0 10' 4'
| 0 10' 4'
|C^7no5
| C^7no5
| 20
| 20
|-
|-
Line 622: 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
|9/7/4
| 9/7/4
16/14/9
16/14/9
|0 10' 2
| 0 10' 2
0 8' -2
0 8' -2
|C^,9no5
| C^,9no5
C^2,7no5
C^2,7no5
| 20
| 20
Line 636: Line 637:
| 1-7/6-14/9
| 1-7/6-14/9
| utonal
| utonal
|1-9/7-3/2
| 1-9/7-3/2
|9/7/6
| 9/7/6
|0 10' 1
| 0 10' 1
|C^
| C^
| 20
| 20
|-
|-
Line 646: Line 647:
| 1-5/4-11/8
| 1-5/4-11/8
| otonal
| otonal
|1-5/4-11/8
| 1-5/4-11/8
|8:10:11
| 8:10:11
|0 -2' -12'
| 0 -2' -12'
|Cv(vb5)
| Cv(vb5)
| 24
| 24
|-
|-
Line 656: 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'
| 0 10' 12'
|C^,^#11no5
| C^,^#11no5
| 24
| 24
|-
|-
Line 666: Line 667:
| 1-11/7-11/8
| 1-11/7-11/8
| utonal
| utonal
|1-14/11-7/4
| 1-14/11-7/4
|14/11/8
| 14/11/8
|0 4 -8'
| 0 4 -8'
|C,v7no5
| C,v7no5
| 24
| 24
|-
|-
Line 676: Line 677:
| 1-7/4-11/8
| 1-7/4-11/8
| otonal
| otonal
|1-14/11-16/11
| 1-14/11-16/11
|11:14:16
| 11:14:16
|0 4 12'
| 0 4 12'
|C,^#11no5
| C,^#11no5
| 24
| 24
|-
|-
Line 686: 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
|11/10/8
| 11/10/8
20/16/11
20/16/11
|0 -10 -12'
| 0 -10 -12'
0 -2' 10
0 -2' 10
|Cvv2(vb5)
| Cvv2(vb5)
Cv^^7no5
Cv^^7no5
| 24
| 24
Line 700: 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
| 0 10' -2
|C^,7no5
| C^,7no5
| 24
| 24
|-
|-
Line 710: Line 711:
| 1-4/3-11/6
| 1-4/3-11/6
| otonal
| otonal
|1-11/8-3/2
| 1-11/8-3/2
|8:11:12
| 8:11:12
|0 -12' 1
| 0 -12' 1
|C,vd5no3
| C,vd5no3
| 26
| 26
|-
|-
Line 720: Line 721:
| 1-5/3-11/6
| 1-5/3-11/6
| otonal
| otonal
|1-6/5-11/5
| 1-6/5-11/5
|5:6:11
| 5:6:11
|0 3' -10
| 0 3' -10
|C^mvv9no5
| C^mvv9no5
| 26
| 26
|-
|-
Line 730: Line 731:
| 1-11/7-11/6
| 1-11/7-11/6
| utonal
| utonal
|1-7/6-14/11
| 1-7/6-14/11
|14/12/11
| 14/12/11
|0 -9' 4
| 0 -9' 4
|C,vm10no5
| C,vm10no5
| 26
| 26
|-
|-
Line 740: Line 741:
| 1-7/6-11/6
| 1-7/6-11/6
| otonal
| otonal
|1-7/6-11/6
| 1-7/6-11/6
|6:7:11
| 6:7:11
|0 -9' -13'
| 0 -9' -13'
|CvmvvvM7
| CvmvvvM7
| 26
| 26
|-
|-
Line 750: Line 751:
| 1-11/10-11/6
| 1-11/10-11/6
| utonal
| utonal
|1-6/5-24/11
| 1-6/5-24/11
|24/20/11
| 24/20/11
|0 3' 13'
| 0 3' 13'
|C^m,^^^m9no5
| C^m,^^^m9no5
| 26
| 26
|-
|-
Line 760: Line 761:
| 1-11/8-11/6
| 1-11/8-11/6
| utonal
| utonal
|1-4/3-16/11
| 1-4/3-16/11
|16/12/11
| 16/12/11
|0 -1 12'
| 0 -1 12'
|C4(^^^b5)
| C4(^^^b5)
| 26
| 26
|-
|-
Line 770: Line 771:
| 1-4/3-11/9
| 1-4/3-11/9
| otonal
| otonal
|1-3/2-11/6
| 1-3/2-11/6
|6:9:11
| 6:9:11
|0 1 -13'
| 0 1 -13'
|CvvvM7no3
| CvvvM7no3
| 28
| 28
|-
|-
Line 780: Line 781:
| 1-16/9-11/9
| 1-16/9-11/9
| otonal
| otonal
|1-11/9-16/9
| 1-11/9-16/9
|9:11:16
| 9:11:16
|0 -14' -2
| 0 -14' -2
|Cvb4,7no5
| Cvb4,7no5
| 28
| 28
|-
|-
Line 790: 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
|9:10:11
| 9:10:11
10:11:18
10:11:18
|0 -4' -14'
| 0 -4' -14'
0 -10 4'
0 -10 4'
|Cv2vb4no5
| Cv2vb4no5
Cvv2,^7no5
Cvv2,^7no5
| 28
| 28
Line 804: 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
|11/9/7
| 11/9/7
14/11/9
14/11/9


18/14/11
18/14/11
|0 -14' -4
| 0 -14' -4
0 4 -10'
0 4 -10'


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


Line 826: 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
| 0 -14' -6
|Cvb4(b5)
| Cvb4(b5)
| 28
| 28
|-
|-
Line 836: 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 849: 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
|11/10/9
| 11/10/9
20/11/9
20/11/9
|0 -10 -14'
| 0 -10 -14'
0 10 -4'
0 10 -4'
|Cvv2vb4no5
| Cvv2vb4no5
C^^7v9no35
C^^7v9no35
| 28
| 28
Line 863: Line 864:
| 1-14/9-11/9
| 1-14/9-11/9
| otonal
| otonal
|1-14/11-18/11
| 1-14/11-18/11
|11:14:18
| 11:14:18
|0 4 14'
| 0 4 14'
|C(^#5)
| C(^#5)
| 28
| 28
|-
|-
Line 873: Line 874:
| 1-11/8-11/9
| 1-11/8-11/9
| utonal
| utonal
|1-16/11-16/9
| 1-16/11-16/9
|16/11/9
| 16/11/9
|0 12' -2
| 0 12' -2
|C^#4,7no5
| C^#4,7no5
| 28
| 28
|-
|-
Line 883: Line 884:
| 1-11/6-11/9
| 1-11/6-11/9
| utonal
| utonal
|1-11/9-11/6
| 1-11/9-11/6
|11/9/6
| 11/9/6
|0 -14' -13'
| 0 -14' -13'
|CvvvM7no5
| CvvvM7no5
| 28
| 28
|}
|}


== Tetrads ==
== Tetrads ==
{| class="wikitable center-1"
{| class="wikitable center-1"
|-
|-
Line 898: Line 898:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 907: 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 916: 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 930: 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 942: 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 951: 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 960: 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 969: 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 978: 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 987: 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 996: 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 1,005: 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 1,014: 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 1,023: 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 1,032: 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 1,041: 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 1,050: 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 1,059: 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 1,072: Line 1,072:
| 1-5/4-11/7-11/10
| 1-5/4-11/7-11/10
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,081: Line 1,081:
| 1-5/4-7/5-11/10
| 1-5/4-7/5-11/10
| thrush
| thrush
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,090: Line 1,090:
| 1-11/7-7/5-11/10
| 1-11/7-7/5-11/10
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,099: Line 1,099:
| 1-5/4-7/4-11/10
| 1-5/4-7/4-11/10
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,108: Line 1,108:
| 1-11/7-7/4-11/10
| 1-11/7-7/4-11/10
| thrush
| thrush
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,117: Line 1,117:
| 1-7/5-7/4-11/10
| 1-7/5-7/4-11/10
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,126: Line 1,126:
| 1-4/3-16/9-14/9
| 1-4/3-16/9-14/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,135: Line 1,135:
| 1-4/3-10/9-14/9
| 1-4/3-10/9-14/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,144: Line 1,144:
| 1-16/9-10/9-14/9
| 1-16/9-10/9-14/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,153: Line 1,153:
| 1-16/9-7/5-14/9
| 1-16/9-7/5-14/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,162: Line 1,162:
| 1-10/9-7/5-14/9
| 1-10/9-7/5-14/9
| starling
| starling
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,171: Line 1,171:
| 1-10/9-7/4-14/9
| 1-10/9-7/4-14/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,180: Line 1,180:
| 1-7/5-7/4-14/9
| 1-7/5-7/4-14/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,189: Line 1,189:
| 1-4/3-7/6-14/9
| 1-4/3-7/6-14/9
| ambitonal
| ambitonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,198: Line 1,198:
| 1-7/5-7/6-14/9
| 1-7/5-7/6-14/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,207: Line 1,207:
| 1-7/4-7/6-14/9
| 1-7/4-7/6-14/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 20
| 20
|-
|-
Line 1,216: Line 1,216:
| 1-5/4-11/7-11/8
| 1-5/4-11/7-11/8
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,225: Line 1,225:
| 1-16/9-11/7-11/8
| 1-16/9-11/7-11/8
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,234: Line 1,234:
| 1-5/4-7/4-11/8
| 1-5/4-7/4-11/8
| otonal
| otonal
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,243: Line 1,243:
| 1-11/7-7/4-11/8
| 1-11/7-7/4-11/8
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,252: Line 1,252:
| 1-5/4-11/10-11/8
| 1-5/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,261: Line 1,261:
| 1-11/7-11/10-11/8
| 1-11/7-11/10-11/8
| utonal
| utonal
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,270: Line 1,270:
| 1-7/4-11/10-11/8
| 1-7/4-11/10-11/8
| valinorsmic
| valinorsmic
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,279: Line 1,279:
| 1-16/9-14/9-11/8
| 1-16/9-14/9-11/8
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,288: Line 1,288:
| 1-7/4-14/9-11/8
| 1-7/4-14/9-11/8
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 24
| 24
|-
|-
Line 1,297: Line 1,297:
| 1-4/3-5/3-11/6
| 1-4/3-5/3-11/6
| otonal
| otonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,306: Line 1,306:
| 1-4/3-7/6-11/6
| 1-4/3-7/6-11/6
| otonal
| otonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,315: Line 1,315:
| 1-5/3-7/6-11/6
| 1-5/3-7/6-11/6
| otonal
| otonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,324: Line 1,324:
| 1-11/7-11/10-11/6
| 1-11/7-11/10-11/6
| utonal
| utonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,333: Line 1,333:
| 1-11/7-11/8-11/6
| 1-11/7-11/8-11/6
| utonal
| utonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,342: Line 1,342:
| 1-11/10-11/8-11/6
| 1-11/10-11/8-11/6
| utonal
| utonal
|
|  
|
|  
|
|  
| 26
| 26
|-
|-
Line 1,351: Line 1,351:
| 1-4/3-16/9-11/9
| 1-4/3-16/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,360: Line 1,360:
| 1-4/3-10/9-11/9
| 1-4/3-10/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,369: Line 1,369:
| 1-16/9-10/9-11/9
| 1-16/9-10/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,378: Line 1,378:
| 1-16/9-11/7-11/9
| 1-16/9-11/7-11/9
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,387: Line 1,387:
| 1-16/9-7/5-11/9
| 1-16/9-7/5-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,396: Line 1,396:
| 1-10/9-7/5-11/9
| 1-10/9-7/5-11/9
| thrush
| thrush
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,405: Line 1,405:
| 1-11/7-7/5-11/9
| 1-11/7-7/5-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,414: Line 1,414:
| 1-10/9-7/4-11/9
| 1-10/9-7/4-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,423: Line 1,423:
| 1-11/7-7/4-11/9
| 1-11/7-7/4-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,432: Line 1,432:
| 1-7/5-7/4-11/9
| 1-7/5-7/4-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,441: Line 1,441:
| 1-11/7-11/10-11/9
| 1-11/7-11/10-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,450: Line 1,450:
| 1-7/5-11/10-11/9
| 1-7/5-11/10-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,459: Line 1,459:
| 1-7/4-11/10-11/9
| 1-7/4-11/10-11/9
| thrush
| thrush
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,468: Line 1,468:
| 1-4/3-14/9-11/9
| 1-4/3-14/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,477: Line 1,477:
| 1-16/9-14/9-11/9
| 1-16/9-14/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,486: Line 1,486:
| 1-10/9-14/9-11/9
| 1-10/9-14/9-11/9
| otonal
| otonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,495: Line 1,495:
| 1-7/5-14/9-11/9
| 1-7/5-14/9-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,504: Line 1,504:
| 1-7/4-14/9-11/9
| 1-7/4-14/9-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,513: Line 1,513:
| 1-16/9-11/8-11/9
| 1-16/9-11/8-11/9
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,522: Line 1,522:
| 1-11/7-11/8-11/9
| 1-11/7-11/8-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,531: Line 1,531:
| 1-7/4-11/8-11/9
| 1-7/4-11/8-11/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,540: Line 1,540:
| 1-11/10-11/8-11/9
| 1-11/10-11/8-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,549: Line 1,549:
| 1-14/9-11/8-11/9
| 1-14/9-11/8-11/9
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,558: Line 1,558:
| 1-4/3-11/6-11/9
| 1-4/3-11/6-11/9
| ambitonal
| ambitonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,567: Line 1,567:
| 1-11/7-11/6-11/9
| 1-11/7-11/6-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,576: Line 1,576:
| 1-11/10-11/6-11/9
| 1-11/10-11/6-11/9
| utonal
| utonal
|
|  
|
|  
|
|  
| 28
| 28
|-
|-
Line 1,585: 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 1,599: Line 1,598:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 1,608: 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 1,617: 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 1,626: 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 1,635: 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 1,644: 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 1,653: 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 1,662: 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 1,671: 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 1,680: 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 1,689: 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 1,698: 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 1,707: 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 1,716: 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 1,725: 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 1,734: 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 1,743: 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 1,752: 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 1,761: 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 1,770: 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 1,779: 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 1,788: 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 1,797: 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 1,806: 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 1,815: 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 1,824: 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 1,833: 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 1,842: 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 1,851: 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 1,860: 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 1,869: 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 1,878: 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 1,887: 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 1,896: 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 1,905: 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 1,914: 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 1,923: 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 1,932: 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 1,941: 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 1,950: 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 1,959: 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 1,968: 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 1,982: Line 1,980:
! Transversal
! Transversal
! Type
! Type
!Ratios
! Ratios
!Genspans
! Genspans
!Name
! Name
! Complexity
! Complexity
|-
|-
Line 1,991: 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 2,000: 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 2,009: 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 2,018: 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 2,027: 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 2,036: 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 2,045: 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 2,054: 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"