Diaschismic/Chords: Difference between revisions
m Categorised this uncategorised page |
m spelling |
||
| (10 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
Below are listed the [[ | 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 dia = | 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] − 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. | ||
Diaschismic has [[mos scale]]s of size 10, 12, 22, 34, 46, and 58. It may be seen that even ten notes are not without resources, mostly essentially just. By the time we get to 22 notes, we are well-supplied. | |||
= | Chords are named with ups and downs. The comma (the actual punctuation mark) is pronounced "add", thus Cv,9 is "C down add 9". The pergen is (P8/2, P5), #2 in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. The period is both vA4 and ^d5. The P5 generator in mingen form is reduced by one period to become both ^m2 and vA1, and hence M2/2. This is literally a semi-tone, but it's better to call it a "halftone", since the term "semitone" is used much more broadly and has many other connotations. The [[enharmonic unison]] is ^^d2, thus {{nowrap|^^C {{=}} B#}}. One up is 6 mingen generators minus 1 period, which is half a pythagorean comma. {{nowrap|^1 {{=}} 6''c''}}, where ''c'' is the amount in cents the tempered fifth exceeds 700¢. For 46edo, {{nowrap|''c'' {{=}} 4.3¢}} and {{nowrap|^1 {{=}} 1\46}} = 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" | ||
|+ style="font-size: 105%;" | Diaschismic's two genchains, with cents in 46edo | |||
|- | |||
! colspan="3" | 1st genchain | |||
! rowspan="2" | Genspan | |||
! colspan="3" | 2nd genchain | |||
|- | |||
! Cents | |||
! Ratio | |||
! Interval | |||
! Cents | |||
! Ratio | |||
! Interval | |||
|- | |||
| 261 | |||
| | |||
| ^^M2 | |||
! 14 | |||
| 861 | |||
| 18/11 | |||
| ^A5, ^^^m6 | |||
|- | |||
| 757 | |||
| | |||
| ^^5 | |||
! 13 | |||
| 157 | |||
| 12/11 | |||
| ^A1, ^^^m2 | |||
|- | |||
| 52 | |||
| 45/44 | |||
| ^^1 | |||
! 12 | |||
| 652 | |||
| 16/11 | |||
| ^A4, ^^^d5 | |||
|- | |||
| 548 | |||
| 15/11 | |||
| ^^4 | |||
! 11 | |||
| 1148 | |||
| 27/14, 64/33 | |||
| ^M7, ^^^d8 | |||
|- | |- | ||
| | | | 1043 | ||
| | | 20/11 | ||
| | | ^^m7 | ||
| | ! 10 | ||
| | | 443 | ||
| 9/7 | |||
| ^M3 | |||
|- | |- | ||
| | | | 339 | ||
| | | 40/33 | ||
| ^^m3 | |||
| | | ! 9 | ||
| | | 939 | ||
| 12/7 | |||
| ^M6 | |||
|- | |- | ||
| | | | 835 | ||
| | | | 45/28 | ||
| | | A5, ^^m6 | ||
| | ! 8 | ||
| 235 | |||
| 8/7 | |||
| ^M2 | |||
|- | |- | ||
| | | | 130 | ||
| | | | 15/14 | ||
| | | A1, ^^m2 | ||
| | ! 7 | ||
| 730 | |||
| 32/21 | |||
| ^5 | |||
|- | |- | ||
| | | | 626 | ||
| | | | 10/7 | ||
| | | A4, ^^d5 | ||
| | ! 6 | ||
| 26 | |||
| 81/80, 64/63 | |||
| ^1 | |||
|- | |- | ||
| | | | 1122 | ||
| | | 40/21, 21/11 | ||
| M7 | |||
| | | ! 5 | ||
| | | 522 | ||
| 27/20 | |||
| ^4 | |||
|- | |- | ||
| | | | 417 | ||
| | | | 14/11 | ||
| | | M3 | ||
| | ! 4 | ||
| 1017 | |||
| 9/5 | |||
| ^m7 | |||
|- | |- | ||
| | | | 913 | ||
| | | 27/16, 56/33 | ||
| M6 | |||
| | | ! 3 | ||
| | | 313 | ||
| 6/5 | |||
| ^m3 | |||
|- | |- | ||
| | 8 | | 209 | ||
| | | | 9/8 | ||
| | | M2 | ||
| | ! 2 | ||
| 809 | |||
| 8/5 | |||
| vA5, ^m6 | |||
|- | |- | ||
| | | | 704 | ||
| | | | '''3/2''' | ||
| | | P5 | ||
! 1 | |||
| | | 104 | ||
| 16/15 | |||
| vA1, ^m2 | |||
|- | |- | ||
! 0 | |||
! 1/1 | |||
| | | ! P1 | ||
! 0 | |||
| | | 600 | ||
| 45/32, 64/45 | |||
| vA4, ^d5 | |||
|- | |- | ||
| | | | 496 | ||
| | | 4/3 | ||
| | | | P4 | ||
| | ! -1 | ||
| 1096 | |||
| 15/8 | |||
| vM7, ^d8 | |||
|- | |- | ||
| | | | 991 | ||
| | | 16/9 | ||
| | | | m7 | ||
| | ! -2 | ||
| 391 | |||
| '''5/4''' | |||
| vM3, ^d4 | |||
|- | |- | ||
| | | | 287 | ||
| | | 32/27, 33/28 | ||
| | | | m3 | ||
! -3 | |||
| | | 887 | ||
| 5/3 | |||
| vM6, ^d7 | |||
|- | |- | ||
| | | 783 | ||
| 11/7 | |||
| | | m6, vvA5 | ||
| | | ! -4 | ||
| | | 183 | ||
| 10/9 | |||
| vM2 | |||
|- | |- | ||
| | | | 78 | ||
| | | 22/21, 21/20 | ||
| m2 | |||
| | | ! -5 | ||
| | | 678 | ||
| 40/27 | |||
| v5 | |||
|- | |- | ||
| | | | 574 | ||
| | | 7/5 | ||
| | | | d5, vvA4 | ||
| | ! -6 | ||
| 1174 | |||
| 160/81, 63/32 | |||
| v8 | |||
|- | |- | ||
| | | | 1070 | ||
| | | 28/15 | ||
| d8, vvM7 | |||
| | | ! -7 | ||
| | | 470 | ||
| 21/16 | |||
| v4 | |||
|- | |- | ||
| | | | 365 | ||
| | | 56/45 | ||
| | | | d4, vvM3 | ||
| | ! -8 | ||
| 965 | |||
| '''7/4''' | |||
| vm7 | |||
|- | |- | ||
| | | | 861 | ||
| | | 33/20 | ||
| | | | vvM6 | ||
| | ! -9 | ||
| 261 | |||
| 7/6 | |||
| vm3 | |||
|- | |- | ||
| | | | 157 | ||
| | | 11/10 | ||
| | | | vvM2 | ||
! -10 | |||
| | | 757 | ||
| 14/9 | |||
| vm6 | |||
|- | |- | ||
| | | | 652 | ||
| | | 22/15 | ||
| | | | vv5 | ||
! -11 | |||
| | | 52 | ||
| 28/27, 33/32 | |||
| vm2, vvvA1 | |||
|- | |- | ||
| | | | 1148 | ||
| | | 88/45 | ||
| | | | vv8 | ||
! -12 | |||
| | | 548 | ||
| '''11/8''' | |||
| vd5, vvvA4 | |||
|- | |- | ||
| | | | 443 | ||
| | | | ||
| | | | vv4 | ||
! -13 | |||
| | | 1043 | ||
| 11/6 | |||
| vd8, vvvM7 | |||
|- | |- | ||
| | | | 939 | ||
| | | | ||
| | | | vvm7 | ||
| | utonal | ! -14 | ||
| | | 339 | ||
| 11/9 | |||
| vd4, vvvM3 | |||
|} | |||
In the genspans columns below, those on the 2nd genchain are marked with an apostrophe, thus 4 = M3 and 4' = ^m7. The "As (sub)harmonics" column describes otonal chords as harmonics and utonal chords as subharmonics. | |||
'''''TODO: Complete the tables''''' | |||
== Triads == | |||
{| class="wikitable center-1" | |||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Ratios | |||
! As (sub)harmonics | |||
! Genspans | |||
! Name | |||
! Complexity | |||
|- | |- | ||
| | | | 1 | ||
| | | 0-104-208 | ||
| | 1- | | 1-4/3-16/9 | ||
| | | | ambitonal | ||
| | | | 1-4/3-3/2 | ||
1-9/8-3/2 | |||
| 6:8:9 = 12/9/8 | |||
8:9:12 = 9/8/6 | |||
| 0 -1 1 | |||
0 2 1 | |||
| C4 | |||
C2 | |||
| 4 | |||
|- | |- | ||
| | | 2 | ||
| 0-104-311 | |||
| 1-4/3-5/3 | |||
| | | | otonal | ||
| | | | 1-5/4-3/2 | ||
| 4:5:6 | |||
| 0 -2' 1 | |||
| Cv | |||
| 6 | |||
|- | |- | ||
| | | | 3 | ||
| | | 0-207-311 | ||
| | 1- | | 1-5/4-5/3 | ||
| | | | utonal | ||
| | | | 1-6/5-3/2 | ||
| 6/5/4 | |||
| 0 3' 1 | |||
| C^m | |||
| 6 | |||
|- | |- | ||
| | | 4 | ||
| 0-104-413 | |||
| 1-4/3-10/9 | |||
| | | | otonal | ||
| | | | 1-6/5-9/5 | ||
| 5:6:9 | |||
| 0 3' 4' | |||
| C^m7no5 | |||
| 8 | |||
|- | |- | ||
| | | 5 | ||
| 0-207-413 | |||
| | 1- | | 1-5/4-10/9 | ||
| | | | utonal | ||
| | | 1-5/4-20/9 | ||
1-9/5-9/4 | |||
| 20/16/9 | |||
9/5/4 | |||
| 0 -2' -4' | |||
0 4' 2 | |||
| Cv,v9no5 | |||
C^9no35 | |||
| 8 | |||
|- | |- | ||
| | | 6 | ||
| 0-208-413 | |||
| | 1- | | 1-16/9-10/9 | ||
| | | | otonal | ||
| | | 1-5/4-9/4 | ||
| 4:5:9 | |||
| 0 -2' 2 | |||
| Cv,9no5 | |||
| 8 | |||
|- | |- | ||
| | | | 7 | ||
| | | 0-311-413 | ||
| | 1- | | 1-5/3-10/9 | ||
| | | | utonal | ||
| | | 1-3/2-9/5 | ||
| 9/6/5 | |||
| 0 1 4' | |||
| C^m7no3 | |||
| 8 | |||
|- | |- | ||
| | | 8 | ||
| 0-207-414 | |||
| | 1-5/4-11/8 | | 1-5/4-11/7 | ||
| | | | valinorsmic | ||
| | | | 1-5/4-11/7 | ||
1-5/4-8/5 | |||
1-14/11-8/5 | |||
| | |||
| 0 -2' -4 | |||
0 -2' 2' | |||
0 4 2' | |||
| Cv(vv#5) | |||
Cv(v#5) | |||
C(v#5) | |||
| 8 | |||
|- | |- | ||
| | | 9 | ||
| 0-208-414 | |||
| 1-16/9-11/7 | |||
| | | | pentacircle | ||
| | | | 1-9/8-14/11 | ||
| | |||
| 0 2 4 | |||
| C,9no5 | |||
| 8 | |||
|- | |- | ||
| | | | 10 | ||
| | | 0-207-620 | ||
| | 1- | | 1-5/4-7/5 | ||
| | | | starling | ||
| | | | 1-5/4-7/5 | ||
| | |||
| 0 -2' -6 | |||
| Cv(b5) | |||
| 12 | |||
|- | |- | ||
| | | 11 | ||
| 0-208-620 | |||
| 1-16/9-7/5 | |||
| | | | werckismic | ||
| | | | 1-14/11-10/7 | ||
| | |||
| 0 4 6 | |||
| C(^^b5) | |||
| 12 | |||
|- | |- | ||
| | | 12 | ||
| 0-311-620 | |||
| | 1- | | 1-5/3-7/5 | ||
| | | | starling | ||
| | | | 1-6/5-10/7 | ||
| | |||
| 0 3' 6 | |||
| C^m(^^d5) | |||
| 12 | |||
|- | |- | ||
| | | | 13 | ||
| | | 0-413-620 | ||
| | 1- | | 1-10/9-7/5 | ||
| | | | starling | ||
| | | | 1-10/9-7/5 | ||
| | |||
| 0 -4' -6 | |||
| Cv2(b5) | |||
| 12 | |||
|- | |- | ||
| | | 14 | ||
| 0-414-620 | |||
| | 1- | | 1-11/7-7/5 | ||
| | | | werckismic | ||
| | | | 1-14/11-16/9 | ||
| | |||
| 0 4 -2 | |||
| C7no5 | |||
| 12 | |||
|- | |- | ||
| | | 15 | ||
| 0-207-827 | |||
| | 1-5/ | | 1-5/4-7/4 | ||
| | | | otonal | ||
| | | | 1-5/4-7/4 | ||
| 4:5:7 | |||
| 0 -2' -8' | |||
| Cv7no5 | |||
| 16 | |||
|- | |- | ||
| | | 16 | ||
| 0-413-827 | |||
| | 1- | | 1-10/9-7/4 | ||
| | | | werckismic | ||
| | | | 1-10/9-7/4 | ||
1-8/7-14/11 | |||
| | |||
| 0 -4' -8' | |||
0 8' 4 | |||
| Cv7v9no35 | |||
C,^9no5 | |||
| 16 | |||
|- | |- | ||
| | | 17 | ||
| 0-414-827 | |||
| | 1-7/ | | 1-11/7-7/4 | ||
| | | | werckismic | ||
| | | | 1-9/5-16/7 | ||
1-10/9-14/11 | |||
| | |||
| 0 4' 8' | |||
0 -4' 4 | |||
| C^7^9no35 | |||
C,v9no5 | |||
| 16 | |||
|- | |- | ||
| | | | 18 | ||
| | | 0-620-827 | ||
| | 1- | | 1-7/5-7/4 | ||
| | | | utonal | ||
| | | | 1-5/4-10/7 | ||
| 10/8/7 | |||
| 0 -2' 6 | |||
| Cv(^^b5) | |||
| 16 | |||
|- | |- | ||
| | | | 19 | ||
| | | 0-104-929 | ||
| | 1- | | 1-4/3-7/6 | ||
| | | | otonal | ||
| | | 1-3/2-7/4 | ||
| 4:6:7 | |||
| 0 1 -8' | |||
| Cv7no3 | |||
| 18 | |||
|- | |- | ||
| | | 20 | ||
| 0-311-929 | |||
| | 1- | | 1-5/3-7/6 | ||
| | | | otonal | ||
| | | | 1-7/6-5/3 | ||
1-6/5-7/5 | |||
| 6:7:10 | |||
5:6:7 | |||
| 0 -9' -3' | |||
0 3' -6 | |||
| Cvm6no5 | |||
C^dim | |||
| 18 | |||
|- | |- | ||
| | | 21 | ||
| 0-620-929 | |||
| | 1- | | 1-7/5-7/6 | ||
| | | | utonal | ||
| | | | 1-7/6-7/5 | ||
1-6/5-12/7 | |||
| 7/6/5 | |||
12/10/7 | |||
| 0 -9' -6 | |||
0 3' 9' | |||
| Cvdim | |||
C^m6no5 | |||
| 18 | |||
|- | |- | ||
| | | | 22 | ||
| | | 0-827-929 | ||
| | 1- | | 1-7/4-7/6 | ||
| | | | utonal | ||
| | | | 1-7/6-7/4 | ||
| 7/6/4 | |||
| 0 -9' -8' | |||
| Cvm7no5 | |||
| 18 | |||
|- | |- | ||
| | | | 23 | ||
| | | 0-207-1032 | ||
| | 1-11/ | | 1-5/4-11/10 | ||
| | | | valinorsmic | ||
| | | | 1-5/4-11/5 | ||
1-20/11-16/7 | |||
| | |||
| 0 -2' -10 | |||
0 10 8' | |||
| Cv,vv9no5 | |||
C^^7^9no35 | |||
| 20 | |||
|- | |- | ||
| | | | 24 | ||
| | | 0-414-1032 | ||
| | 1-7/5 | | 1-11/7-11/10 | ||
| | | | utonal | ||
| | | 1-14/11-7/5 | ||
| 14/11/10 | |||
| 0 4 -6 | |||
| C(b5) | |||
| 20 | |||
|- | |- | ||
| | | 25 | ||
| 0-620-1032 | |||
| | 1-7/ | | 1-7/5-11/10 | ||
| | | | otonal | ||
| | | | 1-11/10-7/5 | ||
1-14/11-20/11 | |||
| 10:11:14 | |||
11:14:20 | |||
| 0 -10 -6 | |||
0 4 10 | |||
| Cvv2(b5) | |||
C,^^7no5 | |||
| 20 | |||
|- | |- | ||
| | | 26 | ||
| 0-827-1032 | |||
| | 1-11/ | | 1-7/4-11/10 | ||
| | | | valinorsmic | ||
| | | | 1-7/4-11/5 | ||
1-5/4-45/28 | |||
| | |||
| 0 -8' -10 | |||
0 -2' 8' | |||
| Cv7vv9no35 | |||
Cv,v9no5 | |||
| 20 | |||
|- | |- | ||
| | | 27 | ||
| 0-104-1033 | |||
| | 1- | | 1-4/3-14/9 | ||
| | | | otonal | ||
| | | 1-7/6-3/2 | ||
| 6:7:9 | |||
| 0 -9' 1 | |||
| Cvm | |||
| 20 | |||
|- | |- | ||
| | | 28 | ||
| 0-208-1033 | |||
| | 1- | | 1-16/9-14/9 | ||
| | | | otonal | ||
| | | | 1-7/4-9/4 | ||
1-9/7-16/7 | |||
| 4:7:9 | |||
7:9:16 | |||
| 0 -8' 2 | |||
0 10' 8' | |||
| Cv9no35 | |||
C^,^9no5 | |||
| 20 | |||
|- | |- | ||
| | | | 29 | ||
| | 0-1343-1445 | | 0-413-1033 | ||
| | 1-11/6-11/9 | | 1-10/9-14/9 | ||
| | utonal | | otonal | ||
| | 28 | | 1-9/7-10/7 | ||
| 7:9:10 | |||
| 0 10' 6 | |||
| C^(^^b5) | |||
| 20 | |||
|- | |||
| 30 | |||
| 0-620-1033 | |||
| 1-7/5-14/9 | |||
| utonal | |||
| 1-9/7-9/5 | |||
| 9/7/5 | |||
| 0 10' 4' | |||
| C^7no5 | |||
| 20 | |||
|- | |||
| 31 | |||
| 0-827-1033 | |||
| 1-7/4-14/9 | |||
| utonal | |||
| 1-9/7-9/4 | |||
1-8/7-16/9 | |||
| 9/7/4 | |||
16/14/9 | |||
| 0 10' 2 | |||
0 8' -2 | |||
| C^,9no5 | |||
C^2,7no5 | |||
| 20 | |||
|- | |||
| 32 | |||
| 0-929-1033 | |||
| 1-7/6-14/9 | |||
| utonal | |||
| 1-9/7-3/2 | |||
| 9/7/6 | |||
| 0 10' 1 | |||
| C^ | |||
| 20 | |||
|- | |||
| 33 | |||
| 0-207-1239 | |||
| 1-5/4-11/8 | |||
| otonal | |||
| 1-5/4-11/8 | |||
| 8:10:11 | |||
| 0 -2' -12' | |||
| Cv(vb5) | |||
| 24 | |||
|- | |||
| 34 | |||
| 0-208-1239 | |||
| 1-16/9-11/8 | |||
| pentacircle | |||
| 1-9/7-16/11 | |||
| | |||
| 0 10' 12' | |||
| C^,^#11no5 | |||
| 24 | |||
|- | |||
| 35 | |||
| 0-414-1239 | |||
| 1-11/7-11/8 | |||
| utonal | |||
| 1-14/11-7/4 | |||
| 14/11/8 | |||
| 0 4 -8' | |||
| C,v7no5 | |||
| 24 | |||
|- | |||
| 36 | |||
| 0-827-1239 | |||
| 1-7/4-11/8 | |||
| otonal | |||
| 1-14/11-16/11 | |||
| 11:14:16 | |||
| 0 4 12' | |||
| C,^#11no5 | |||
| 24 | |||
|- | |||
| 37 | |||
| 0-1032-1239 | |||
| 1-11/10-11/8 | |||
| utonal | |||
| 1-11/10-11/8 | |||
1-5/4-20/11 | |||
| 11/10/8 | |||
20/16/11 | |||
| 0 -10 -12' | |||
0 -2' 10 | |||
| Cvv2(vb5) | |||
Cv^^7no5 | |||
| 24 | |||
|- | |||
| 38 | |||
| 0-1033-1239 | |||
| 1-14/9-11/8 | |||
| pentacircle | |||
| 1-9/7-16/9 | |||
| | |||
| 0 10' -2 | |||
| C^,7no5 | |||
| 24 | |||
|- | |||
| 39 | |||
| 0-104-1343 | |||
| 1-4/3-11/6 | |||
| otonal | |||
| 1-11/8-3/2 | |||
| 8:11:12 | |||
| 0 -12' 1 | |||
| C,vd5no3 | |||
| 26 | |||
|- | |||
| 40 | |||
| 0-311-1343 | |||
| 1-5/3-11/6 | |||
| otonal | |||
| 1-6/5-11/5 | |||
| 5:6:11 | |||
| 0 3' -10 | |||
| C^mvv9no5 | |||
| 26 | |||
|- | |||
| 41 | |||
| 0-414-1343 | |||
| 1-11/7-11/6 | |||
| utonal | |||
| 1-7/6-14/11 | |||
| 14/12/11 | |||
| 0 -9' 4 | |||
| C,vm10no5 | |||
| 26 | |||
|- | |||
| 42 | |||
| 0-929-1343 | |||
| 1-7/6-11/6 | |||
| otonal | |||
| 1-7/6-11/6 | |||
| 6:7:11 | |||
| 0 -9' -13' | |||
| CvmvvvM7 | |||
| 26 | |||
|- | |||
| 43 | |||
| 0-1032-1343 | |||
| 1-11/10-11/6 | |||
| utonal | |||
| 1-6/5-24/11 | |||
| 24/20/11 | |||
| 0 3' 13' | |||
| C^m,^^^m9no5 | |||
| 26 | |||
|- | |||
| 44 | |||
| 0-1239-1343 | |||
| 1-11/8-11/6 | |||
| utonal | |||
| 1-4/3-16/11 | |||
| 16/12/11 | |||
| 0 -1 12' | |||
| C4(^^^b5) | |||
| 26 | |||
|- | |||
| 45 | |||
| 0-104-1445 | |||
| 1-4/3-11/9 | |||
| otonal | |||
| 1-3/2-11/6 | |||
| 6:9:11 | |||
| 0 1 -13' | |||
| CvvvM7no3 | |||
| 28 | |||
|- | |||
| 46 | |||
| 0-208-1445 | |||
| 1-16/9-11/9 | |||
| otonal | |||
| 1-11/9-16/9 | |||
| 9:11:16 | |||
| 0 -14' -2 | |||
| Cvb4,7no5 | |||
| 28 | |||
|- | |||
| 47 | |||
| 0-413-1445 | |||
| 1-10/9-11/9 | |||
| 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 | |||
|- | |||
| 48 | |||
| 0-414-1445 | |||
| 1-11/7-11/9 | |||
| 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 | |||
|- | |||
| 49 | |||
| 0-620-1445 | |||
| 1-7/5-11/9 | |||
| werckismic | |||
| 1-11/9-7/5 | |||
| | |||
| 0 -14' -6 | |||
| Cvb4(b5) | |||
| 28 | |||
|- | |||
| 50 | |||
| 0-827-1445 | |||
| 1-7/4-11/9 | |||
| werckismic | |||
| 1-11/9-7/4 | |||
1-8/7-7/5 | |||
| | |||
| 0 -14' -8' | |||
0 8' -6 | |||
| Cvb4v7no5 | |||
C^2(b5) | |||
| 28 | |||
|- | |||
| 51 | |||
| 0-1032-1445 | |||
| 1-11/10-11/9 | |||
| 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 | |||
|- | |||
| 52 | |||
| 0-1033-1445 | |||
| 1-14/9-11/9 | |||
| otonal | |||
| 1-14/11-18/11 | |||
| 11:14:18 | |||
| 0 4 14' | |||
| C(^#5) | |||
| 28 | |||
|- | |||
| 53 | |||
| 0-1239-1445 | |||
| 1-11/8-11/9 | |||
| utonal | |||
| 1-16/11-16/9 | |||
| 16/11/9 | |||
| 0 12' -2 | |||
| C^#4,7no5 | |||
| 28 | |||
|- | |||
| 54 | |||
| 0-1343-1445 | |||
| 1-11/6-11/9 | |||
| utonal | |||
| 1-11/9-11/6 | |||
| 11/9/6 | |||
| 0 -14' -13' | |||
| CvvvM7no5 | |||
| 28 | |||
|} | |} | ||
=Tetrads= | == Tetrads == | ||
{| class="wikitable center-1" | |||
{| class="wikitable" | |||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Ratios | |||
! Genspans | |||
! Name | |||
! Complexity | |||
|- | |- | ||
| 1 | |||
| 0-104-208-413 | |||
| 1-4/3-16/9-10/9 | |||
| | | | otonal | ||
| | 8 | | 1-5/4-3/2-9/4 | ||
| 0 -2' 1 2 | |||
| Cv,9 | |||
| 8 | |||
|- | |- | ||
| 2 | |||
| 0-104-311-413 | |||
| 1-4/3-5/3-10/9 | |||
| | | | ambitonal | ||
| | 8 | | 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 | |||
|- | |- | ||
| 3 | |||
| 0-207-311-413 | |||
| 1-5/4-5/3-10/9 | |||
| | | | utonal | ||
| | 8 | | 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 | |||
|- | |- | ||
| 4 | |||
| 0-207-311-620 | |||
| 1-5/4-5/3-7/5 | |||
| | | | starling | ||
| | 12 | | 1-6/5-3/2-5/3 | ||
| 0 3' 1 -3' | |||
| C^mv6 | |||
| 12 | |||
|- | |- | ||
| 5 | |||
| 0-207-413-620 | |||
| 1-5/4-10/9-7/5 | |||
| | | | starling | ||
| | 12 | | 1-5/4-9/5-9/4 | ||
| 0 -2' 4' 2 | |||
| Cv9(^7)no5 | |||
| 12 | |||
|- | |- | ||
| 6 | |||
| 0-208-413-620 | |||
| 1-16/9-10/9-7/5 | |||
| | | | thrush | ||
| | 12 | | 1-5/4-8/5-9/5 | ||
| 0 -2' 2' 4' | |||
| Cv^7(v#5) | |||
| 12 | |||
|- | |- | ||
| 7 | |||
| 0-311-413-620 | |||
| 1-5/3-10/9-7/5 | |||
| | | | starling | ||
| | 12 | | 1-5/4-3/2-9/5 | ||
| 0 -2' 1 4' | |||
| Cv^7 | |||
| 12 | |||
|- | |- | ||
| 8 | |||
| 0-207-414-620 | |||
| 1-5/4-11/7-7/5 | |||
| | | | thrush | ||
| | 12 | | 1-14/11-8/5-16/9 | ||
| 0 4 2' -2 | |||
| C7(v#5) | |||
| 12 | |||
|- | |- | ||
| 9 | |||
| 0-208-414-620 | |||
| 1-16/9-11/7-7/5 | |||
| | | | pele | ||
| | 12 | | 1-14/11-16/9-9/4 | ||
| 0 4 -2 2 | |||
| C9no5 | |||
| 12 | |||
|- | |- | ||
| 10 | |||
| 0-207-413-827 | |||
| 1-5/4-10/9-7/4 | |||
| | | | werckismic | ||
| | 16 | | 1-5/4-7/4-20/9 | ||
| 0 -2' -8' -4' | |||
| Cv7v9no5 | |||
| 16 | |||
|- | |- | ||
| 11 | |||
| 0-207-414-827 | |||
| 1-5/4-11/7-7/4 | |||
| | | | thrush | ||
| | 16 | | 1-5/4-7/4-22/7 | ||
| 0 -2' -4 -8' | |||
| Cv7b13no5 | |||
| 16 | |||
|- | |- | ||
| 12 | |||
| 0-207-620-827 | |||
| | 1-5/4-7/5-7/4 | | 1-5/4-7/5-7/4 | ||
| | | | starling | ||
| 1-5/4-7/5-7/4 | |||
| 0 -2' -6 -8' | |||
| Cv7(b5) | |||
| 16 | |||
|- | |- | ||
| 13 | |||
| 0-413-620-827 | |||
| 1-10/9-7/5-7/4 | |||
| | | | thrush | ||
| | 16 | | 1-5/4-11/7-9/5 | ||
| 0 -2' -4 4' | |||
| Cv^7(vv#5) | |||
| 16 | |||
|- | |- | ||
| 14 | |||
| 0-414-620-827 | |||
| 1-11/7-7/5-7/4 | |||
| | | | werckismic | ||
| | 16 | | 1-14/11-16/9-20/9 | ||
| 0 4 -2 -4' | |||
| C7v9no5 | |||
| 16 | |||
|- | |- | ||
| 15 | |||
| 0-104-311-929 | |||
| 1-4/3-5/3-7/6 | |||
| | | | otonal | ||
| | 18 | | 1-5/4-3/2-7/4 | ||
| 0 -2' 1 -8' | |||
| Cv7 | |||
| 18 | |||
|- | |- | ||
| 16 | |||
| 0-311-620-929 | |||
| 1-5/3-7/5-7/6 | |||
| | | | starling | ||
| | 18 | | 1-6/5-7/5-5/3 | ||
| 0 3' -6 -3' | |||
| C^d7 | |||
| 18 | |||
|- | |- | ||
| 17 | |||
| 0-620-827-929 | |||
| 1-7/5-7/4-7/6 | |||
| | | | utonal | ||
| | 18 | | 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 | |||
| 0-207-414-1032 | |||
| 1-5/4-11/7-11/10 | |||
| | | | valinorsmic | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 19 | |||
| 0-207-620-1032 | |||
| 1-5/4-7/5-11/10 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 20 | |||
| 0-414-620-1032 | |||
| 1-11/7-7/5-11/10 | |||
| | | | werckismic | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 21 | |||
| 0-207-827-1032 | |||
| 1-5/4-7/4-11/10 | |||
| | | | valinorsmic | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 22 | |||
| 0-414-827-1032 | |||
| 1-11/7-7/4-11/10 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 23 | |||
| 0-620-827-1032 | |||
| 1-7/5-7/4-11/10 | |||
| | | | valinorsmic | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 24 | |||
| 0-104-208-1033 | |||
| 1-4/3-16/9-14/9 | |||
| | | | otonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 25 | |||
| 0-104-413-1033 | |||
| 1-4/3-10/9-14/9 | |||
| | | | otonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 26 | |||
| 0-208-413-1033 | |||
| 1-16/9-10/9-14/9 | |||
| | | | otonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 27 | |||
| 0-208-620-1033 | |||
| 1-16/9-7/5-14/9 | |||
| | | | werckismic | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 28 | |||
| 0-413-620-1033 | |||
| 1-10/9-7/5-14/9 | |||
| | | | starling | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 29 | |||
| 0-413-827-1033 | |||
| 1-10/9-7/4-14/9 | |||
| | | | werckismic | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 30 | |||
| 0-620-827-1033 | |||
| 1-7/5-7/4-14/9 | |||
| | | | utonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 31 | |||
| 0-104-929-1033 | |||
| 1-4/3-7/6-14/9 | |||
| | | | ambitonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 32 | |||
| 0-620-929-1033 | |||
| 1-7/5-7/6-14/9 | |||
| | | | utonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 33 | |||
| 0-827-929-1033 | |||
| 1-7/4-7/6-14/9 | |||
| | | | utonal | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 34 | |||
| 0-207-414-1239 | |||
| 1-5/4-11/7-11/8 | |||
| | | | valinorsmic | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 35 | |||
| 0-208-414-1239 | |||
| 1-16/9-11/7-11/8 | |||
| | | | pentacircle | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 36 | |||
| 0-207-827-1239 | |||
| 1-5/4-7/4-11/8 | |||
| | | | otonal | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 37 | |||
| 0-414-827-1239 | |||
| 1-11/7-7/4-11/8 | |||
| | | | werckismic | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 38 | |||
| 0-207-1032-1239 | |||
| 1-5/4-11/10-11/8 | |||
| | | | valinorsmic | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 39 | |||
| 0-414-1032-1239 | |||
| 1-11/7-11/10-11/8 | |||
| | | | utonal | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 40 | |||
| 0-827-1032-1239 | |||
| 1-7/4-11/10-11/8 | |||
| | | | valinorsmic | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 41 | |||
| 0-208-1033-1239 | |||
| 1-16/9-14/9-11/8 | |||
| | | | pentacircle | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 42 | |||
| 0-827-1033-1239 | |||
| 1-7/4-14/9-11/8 | |||
| | | | pentacircle | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 43 | |||
| 0-104-311-1343 | |||
| 1-4/3-5/3-11/6 | |||
| | | | otonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 44 | |||
| 0-104-929-1343 | |||
| 1-4/3-7/6-11/6 | |||
| | | | otonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 45 | |||
| 0-311-929-1343 | |||
| 1-5/3-7/6-11/6 | |||
| | | | otonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 46 | |||
| 0-414-1032-1343 | |||
| 1-11/7-11/10-11/6 | |||
| | | | utonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 47 | |||
| 0-414-1239-1343 | |||
| 1-11/7-11/8-11/6 | |||
| | | | utonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 48 | |||
| 0-1032-1239-1343 | |||
| 1-11/10-11/8-11/6 | |||
| | | | utonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 49 | |||
| 0-104-208-1445 | |||
| 1-4/3-16/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 50 | |||
| 0-104-413-1445 | |||
| 1-4/3-10/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 51 | |||
| 0-208-413-1445 | |||
| 1-16/9-10/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 52 | |||
| 0-208-414-1445 | |||
| 1-16/9-11/7-11/9 | |||
| | | | pentacircle | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 53 | |||
| 0-208-620-1445 | |||
| 1-16/9-7/5-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 54 | |||
| 0-413-620-1445 | |||
| 1-10/9-7/5-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 55 | |||
| 0-414-620-1445 | |||
| 1-11/7-7/5-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 56 | |||
| 0-413-827-1445 | |||
| 1-10/9-7/4-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 57 | |||
| 0-414-827-1445 | |||
| 1-11/7-7/4-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 58 | |||
| 0-620-827-1445 | |||
| 1-7/5-7/4-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 59 | |||
| 0-414-1032-1445 | |||
| 1-11/7-11/10-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 60 | |||
| 0-620-1032-1445 | |||
| 1-7/5-11/10-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 61 | |||
| 0-827-1032-1445 | |||
| 1-7/4-11/10-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 62 | |||
| 0-104-1033-1445 | |||
| 1-4/3-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 63 | |||
| 0-208-1033-1445 | |||
| 1-16/9-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 64 | |||
| 0-413-1033-1445 | |||
| 1-10/9-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 65 | |||
| 0-620-1033-1445 | |||
| 1-7/5-14/9-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 66 | |||
| 0-827-1033-1445 | |||
| 1-7/4-14/9-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 67 | |||
| 0-208-1239-1445 | |||
| 1-16/9-11/8-11/9 | |||
| | | | pentacircle | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 68 | |||
| 0-414-1239-1445 | |||
| 1-11/7-11/8-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 69 | |||
| 0-827-1239-1445 | |||
| 1-7/4-11/8-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 70 | |||
| 0-1032-1239-1445 | |||
| 1-11/10-11/8-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 71 | |||
| 0-1033-1239-1445 | |||
| 1-14/9-11/8-11/9 | |||
| | | | pentacircle | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 72 | |||
| 0-104-1343-1445 | |||
| 1-4/3-11/6-11/9 | |||
| | | | ambitonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 73 | |||
| 0-414-1343-1445 | |||
| 1-11/7-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 74 | |||
| 0-1032-1343-1445 | |||
| 1-11/10-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 75 | |||
| 0-1239-1343-1445 | |||
| 1-11/8-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|} | |} | ||
=Pentads= | == Pentads == | ||
{| class="wikitable center-1" | |||
{| class="wikitable" | |||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Ratios | |||
! Genspans | |||
! Name | |||
! Complexity | |||
|- | |- | ||
| 1 | |||
| 0-207-311-413-620 | |||
| 1-5/4-5/3-10/9-7/5 | |||
| | | | starling | ||
| | 12 | | 1-5/4-3/2-9/5-9/4 | ||
| 0 -2' 1 4' 2 | |||
| Cv9(^7) | |||
| 12 | |||
|- | |- | ||
| 2 | |||
| 0-207-413-620-827 | |||
| 1-5/4-10/9-7/5-7/4 | |||
| | | | thrush | ||
| | 16 | | | ||
| | |||
| | |||
| 16 | |||
|- | |- | ||
| 3 | |||
| 0-207-414-620-827 | |||
| 1-5/4-11/7-7/5-7/4 | |||
| | | | thrush | ||
| | 16 | | | ||
| | |||
| | |||
| 16 | |||
|- | |- | ||
| 4 | |||
| 0-207-414-620-1032 | |||
| 1-5/4-11/7-7/5-11/10 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 5 | |||
| 0-207-414-827-1032 | |||
| 1-5/4-11/7-7/4-11/10 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 6 | |||
| 0-207-620-827-1032 | |||
| 1-5/4-7/5-7/4-11/10 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 7 | |||
| 0-414-620-827-1032 | |||
| 1-11/7-7/5-7/4-11/10 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 8 | |||
| 0-104-208-413-1033 | |||
| 1-4/3-16/9-10/9-14/9 | |||
| | | | otonal | ||
| | 20 | | 1-5/4-3/2-7/4-9/4 | ||
| 0 -2' 1 -8' 2 | |||
| Cv9 | |||
| 20 | |||
|- | |- | ||
| 9 | |||
| 0-208-413-620-1033 | |||
| 1-16/9-10/9-7/5-14/9 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 10 | |||
| 0-413-620-827-1033 | |||
| 1-10/9-7/5-7/4-14/9 | |||
| | | | thrush | ||
| | 20 | | | ||
| | |||
| | |||
| 20 | |||
|- | |- | ||
| 11 | |||
| 0-620-827-929-1033 | |||
| 1-7/5-7/4-7/6-14/9 | |||
| | | | utonal | ||
| | 20 | | 1-9/7-3/2-9/5-9/4 | ||
| 0 10' 1 4' 2 | |||
| C^9 | |||
| 20 | |||
|- | |- | ||
| 12 | |||
| 0-207-414-827-1239 | |||
| 1-5/4-11/7-7/4-11/8 | |||
| | | | thrush | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 13 | |||
| 0-207-414-1032-1239 | |||
| 1-5/4-11/7-11/10-11/8 | |||
| | | | valinorsmic | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 14 | |||
| 0-207-827-1032-1239 | |||
| 1-5/4-7/4-11/10-11/8 | |||
| | | | valinorsmic | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 15 | |||
| 0-414-827-1032-1239 | |||
| 1-11/7-7/4-11/10-11/8 | |||
| | | | thrush | ||
| | 24 | | | ||
| | |||
| | |||
| 24 | |||
|- | |- | ||
| 16 | |||
| 0-104-311-929-1343 | |||
| 1-4/3-5/3-7/6-11/6 | |||
| | | | otonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 17 | |||
| 0-414-1032-1239-1343 | |||
| 1-11/7-11/10-11/8-11/6 | |||
| | | | utonal | ||
| | 26 | | | ||
| | |||
| | |||
| 26 | |||
|- | |- | ||
| 18 | |||
| 0-104-208-413-1445 | |||
| 1-4/3-16/9-10/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 19 | |||
| 0-208-413-620-1445 | |||
| 1-16/9-10/9-7/5-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 20 | |||
| 0-208-414-620-1445 | |||
| 1-16/9-11/7-7/5-11/9 | |||
| | | | pele | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 21 | |||
| 0-413-620-827-1445 | |||
| 1-10/9-7/5-7/4-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 22 | |||
| 0-414-620-827-1445 | |||
| 1-11/7-7/5-7/4-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 23 | |||
| 0-414-620-1032-1445 | |||
| 1-11/7-7/5-11/10-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 24 | |||
| 0-414-827-1032-1445 | |||
| 1-11/7-7/4-11/10-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 25 | |||
| 0-620-827-1032-1445 | |||
| 1-7/5-7/4-11/10-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 26 | |||
| 0-104-208-1033-1445 | |||
| 1-4/3-16/9-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 27 | |||
| 0-104-413-1033-1445 | |||
| 1-4/3-10/9-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 28 | |||
| 0-208-413-1033-1445 | |||
| 1-16/9-10/9-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 29 | |||
| 0-208-620-1033-1445 | |||
| 1-16/9-7/5-14/9-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 30 | |||
| 0-413-620-1033-1445 | |||
| 1-10/9-7/5-14/9-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 31 | |||
| 0-413-827-1033-1445 | |||
| 1-10/9-7/4-14/9-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 32 | |||
| 0-620-827-1033-1445 | |||
| 1-7/5-7/4-14/9-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 33 | |||
| 0-208-414-1239-1445 | |||
| 1-16/9-11/7-11/8-11/9 | |||
| | | | pentacircle | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 34 | |||
| 0-414-827-1239-1445 | |||
| 1-11/7-7/4-11/8-11/9 | |||
| | | | werckismic | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 35 | |||
| 0-414-1032-1239-1445 | |||
| 1-11/7-11/10-11/8-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 36 | |||
| 0-827-1032-1239-1445 | |||
| 1-7/4-11/10-11/8-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 37 | |||
| 0-208-1033-1239-1445 | |||
| 1-16/9-14/9-11/8-11/9 | |||
| | | | pentacircle | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 38 | |||
| 0-827-1033-1239-1445 | |||
| 1-7/4-14/9-11/8-11/9 | |||
| | | | pele | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 39 | |||
| 0-414-1032-1343-1445 | |||
| 1-11/7-11/10-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 40 | |||
| 0-414-1239-1343-1445 | |||
| 1-11/7-11/8-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 41 | |||
| 0-1032-1239-1343-1445 | |||
| 1-11/10-11/8-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|} | |} | ||
=Hexads= | == Hexads == | ||
{| class="wikitable center-1" | |||
{| class="wikitable" | |||
|- | |- | ||
! # | |||
! Chord | |||
! Transversal | |||
! Type | |||
! Ratios | |||
! Genspans | |||
! Name | |||
! Complexity | |||
|- | |- | ||
| 1 | |||
| 0-207-414-620-827-1032 | |||
| 1-5/4-11/7-7/5-7/4-11/10 | |||
| | | | thrush | ||
| | 20 | | 1-5/4-7/5-7/4-11/5-22/7 | ||
| 0 -2' -6 -8' -10 -4 | |||
| v7vv9b13(b5) | |||
| 20 | |||
|- | |- | ||
| 2 | |||
| 0-207-414-827-1032-1239 | |||
| 1-5/4-11/7-7/4-11/10-11/8 | |||
| | | | thrush | ||
| | 24 | | 1-5/4-11/8-7/4-11/5-22/7 | ||
| 0 -2' -12' -8' -10 -4 | |||
| v7vv9b13(vb5) | |||
| 24 | |||
|- | |- | ||
| 3 | |||
| 0-414-620-827-1032-1445 | |||
| 1-11/7-7/5-7/4-11/10-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 4 | |||
| 0-104-208-413-1033-1445 | |||
| 1-4/3-16/9-10/9-14/9-11/9 | |||
| | | | otonal | ||
| | 28 | | 1-5/4-3/2-7/4-9/4-11/4 | ||
| 0 -2' 1 -8' 2 -12' | |||
| Cv9vvv#11 | |||
| 28 | |||
|- | |- | ||
| 5 | |||
| 0-208-413-620-1033-1445 | |||
| 1-16/9-10/9-7/5-14/9-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 6 | |||
| 0-413-620-827-1033-1445 | |||
| 1-10/9-7/5-7/4-14/9-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 7 | |||
| 0-414-827-1032-1239-1445 | |||
| 1-11/7-7/4-11/10-11/8-11/9 | |||
| | | | thrush | ||
| | 28 | | | ||
| | |||
| | |||
| 28 | |||
|- | |- | ||
| 8 | |||
| 0-414-1032-1239-1343-1445 | |||
| 1-11/7-11/10-11/8-11/6-11/9 | |||
| | | | utonal | ||
| | 28 | | 1-9/7-3/2-9/5-9/4-18/11 | ||
| 0 10' 1 4' 2 14' | |||
| C^9^^^b6 | |||
| 28 | |||
|} | |} | ||
[[Category:Lists of chords]] | [[Category:Lists of chords]] | ||
[[Category:Dyadic chords]] | [[Category:Dyadic chords]] | ||
[[Category:Diaschismic]] | [[Category:Diaschismic]] | ||
[[Category:Triads]] | |||
[[Category:Tetrads]] | |||
[[Category:Pentads]] | |||
[[Category:Hexads]] | |||