|
Tags: New redirect Reverted |
Line 1: |
Line 1: |
| Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Meantone_family#Septimal meantone-Unidecimal meantone aka Huygens|meantone temperament]]. By "meantone" is meant one of the two extensions of septimal meantone, which itself is the main extension of 5-limit meantone; this is the temperament tempering out 81/80, 99/98, and 126/125. Typing the chords requires consideration of the fact that meantone conflates 9/8 and 10/9 and also 9/7 and 14/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 9/8 and 16/9.
| | #REDIRECT [[Chords of huygens]] |
| | |
| (For the inversions, there has been no attempt to note any equivalencies. Keep in mind that 10/9 can be thought of as 9/8, 16/9 as 9/5, 9/7 as 14/11, and vice versa.)
| |
| | |
| Chords requiring tempering only by 81/80 are labeled didymic, by 99/98 mothwellsmic, by 126/125 starling, by 176/175 valinorsmic, by 225/224 marvel, and by 441/440 werckismic. Chords which require any two of 81/80, 99/98 or 441/440 are labeled euterpe, by and two of 81/80, 126/125, or 225/224 erato, and by any two of 99/98, 176/175, or 225/224 minerva. A chord requiring any three independent commas from those discussed above is labeled meantone.
| |
| | |
| The transversal is in generator order. This is useful because it tells how common the chords are: For instance, a chord that appears on the sixth generation will appear exactly once in meantone[7], six times in meantone[12], and 13 times in meantone[19].
| |
| | |
| The "as generated" column takes the intervals that were generated and places them in size order. The 1st and 2nd inversion (and so on) columns show the inversions of those generated tones. Note that this gives different results than you might be used to: For instance, the minor chord ({{nowrap|{{dash|1/1, 6/5, 3/2}}}}, or 10:12:15) is the second inversion of the generated {{nowrap|{{dash|0, 3, 4}}}} chord.
| |
| | |
| Though we're used to thinking of 10:12:15 as the definitive "minor chord", with all inversions coming from that, there is nothing definitive about calling these lists below "chord" or "inversion". That's just the way the generators came out.
| |
| | |
| Meantone has MOS of size 5, 7, 12, 19, 31, 43 and 74. While one might suppose meantone has been thoroughly explored, this really isn't true in the 7-limit, and it can hardly be said to have been explored at all in the 11-limit. The 19 note MOS would seem to be a good place to start such explorations.
| |
| | |
| The '''bolded''' inversions are named using ups and downs, to avoid aug, dim, double-aug and double-dim intervals. One up is −12 fifths, a descending Pythagorean comma. Thus {{nowrap|^1 {{=}} d2}} and {{nowrap|^C {{=}} Dbb}}. One up represents ~64/63, ~45/44, and ~40/39. If ''c'' is the difference between 700{{cent}} and the size of the generator in cents, then one up is equal to 12''c''.
| |
| | |
| {| class="wikitable"
| |
| |+ style="font-size: 105%;" | 11-limit meantone's genchain
| |
| |-
| |
| ! Genspan
| |
| ! 0
| |
| ! 1
| |
| ! 2
| |
| ! 3
| |
| ! 4
| |
| ! 5
| |
| ! 6
| |
| ! 7
| |
| ! 8
| |
| ! 9
| |
| ! 10
| |
| ! 11
| |
| ! 12
| |
| ! 13
| |
| ! 14
| |
| ! 15
| |
| ! 16
| |
| ! 17
| |
| ! 18
| |
| |-
| |
| ! Cents (31edo)
| |
| | 0
| |
| | 697
| |
| | 194
| |
| | 890
| |
| | 387
| |
| | 1084
| |
| | 581
| |
| | 77
| |
| | 774
| |
| | 271
| |
| | 968
| |
| | 465
| |
| | 1161
| |
| | 658
| |
| | 155
| |
| | 852
| |
| | 348
| |
| | 1045
| |
| | 542
| |
| |-
| |
| ! Ratio
| |
| | 1/1
| |
| | 3/2
| |
| | 9/8<br />10/9
| |
| | 5/3
| |
| | 5/4
| |
| | 15/8
| |
| | 45/32<br />7/5
| |
| | 21/20
| |
| | 63/40<br />14/9
| |
| | 7/6
| |
| | 7/4
| |
| | 21/16<br />13/10
| |
| | 35/18
| |
| | 13/9
| |
| | 11/10<br />13/12
| |
| | 13/8
| |
| | 11/9
| |
| | 11/6
| |
| | 11/8
| |
| |-
| |
| ! Interval
| |
| | '''P1'''
| |
| | P5
| |
| | M2
| |
| | M6
| |
| | M3
| |
| | M7
| |
| | A4<br />vd5
| |
| | A1<br />vm2
| |
| | A5<br />vm6
| |
| | A2<br />vm3
| |
| | A6<br />vm7
| |
| | A3<br />v4
| |
| | A7<br />v8
| |
| | AA4<br />v5
| |
| | AA1<br />vM2
| |
| | AA5<br />vM6
| |
| | AA2<br />vM3
| |
| | AA6<br />vM7
| |
| | AA3<br />vA4
| |
| |-
| |
| ! Note<br />(in C)
| |
| | '''C'''
| |
| | G
| |
| | D
| |
| | A
| |
| | E
| |
| | B
| |
| | F#
| |
| | C#
| |
| | G#<br />vAb
| |
| | D#<br />vEb
| |
| | A#<br />vBb
| |
| | E#<br />vF
| |
| | B#<br />vC
| |
| | Fx<br />vG
| |
| | Cx<br />vD
| |
| | Gx<br />vA
| |
| | Dx<br />vE
| |
| | Ax<br />vB
| |
| | Ex<br />vF#
| |
| |}
| |
| '''''TODO: complete the tables'''''
| |
| | |
| == Triads ==
| |
| {| class="wikitable"
| |
| |-
| |
| ! #
| |
| ! Chord
| |
| ! Transversal
| |
| ! Type
| |
| ! As generated
| |
| ! 1st inversion
| |
| ! 2nd inversion
| |
| ! Name
| |
| |-
| |
| | 1
| |
| | {{dash|0, 1, 2}}
| |
| | {{dash|1, 3/2, 9/8}}
| |
| | ambitonal
| |
| | {{dash|'''1/1, 9/8, 3/2'''}}
| |
| | {{dash|1/1, 4/3, 16/9}}
| |
| | {{dash|'''1/1, 4/3, 3/2'''}}
| |
| | C2 <u>or</u> C4
| |
| |-
| |
| | 2
| |
| | {{dash|0, 1, 3}}
| |
| | {{dash|1, 3/2, 5/3}}
| |
| | otonal
| |
| | {{dash|1/1, 3/2, 5/3}}
| |
| | {{dash|1/1, 10/9, 4/3}}
| |
| | {{dash|'''1/1, 6/5, 9/5'''}}
| |
| | Cm7no5
| |
| |-
| |
| | 3
| |
| | {{dash|0, 2, 3}}
| |
| | {{dash|1, 10/9, 5/3}}
| |
| | utonal
| |
| | {{dash|1/1, 10/9, 5/3}}
| |
| | {{dash|'''1/1, 3/2, 9/5'''}}
| |
| | {{dash|1/1, 6/5, 4/3}}
| |
| | C7no3
| |
| |-
| |
| | 4
| |
| | {{dash|0, 1, 4}}
| |
| | {{dash|1, 3/2, 5/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 5/4, 3/2'''}}
| |
| | {{dash|1/1, 6/5, 8/5}}
| |
| | {{dash|1/1, 4/3, 5/3}}
| |
| | C
| |
| |-
| |
| | 5
| |
| | {{dash|0, 2, 4}}
| |
| | {{dash|1, 9/8, 5/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 9/8, 5/4'''}}
| |
| | {{dash|1/1, 10/9, 16/9}}
| |
| | {{dash|1/1, 8/5, 9/5}}
| |
| | Cadd9no5
| |
| |-
| |
| | 6
| |
| | {{dash|0, 3, 4}}
| |
| | {{dash|1, 5/3, 5/4}}
| |
| | utonal
| |
| | {{dash|1/1, 5/4, 5/3}}
| |
| | {{dash|1/1, 4/3, 8/5}}
| |
| | {{dash|'''1/1, 6/5, 3/2'''}}
| |
| | Cm
| |
| |-
| |
| | 7
| |
| | {{dash|0, 2, 6}}
| |
| | {{dash|1, 9/8, 7/5}}
| |
| | marvel
| |
| | {{dash|1/1, 9/8, 7/5}}
| |
| | {{dash|'''1/1, 5/4, 16/9'''}}
| |
| | {{dash|1/1, 10/7, 8/5}}
| |
| | C7no5
| |
| |-
| |
| | 8
| |
| | {{dash|0, 3, 6}}
| |
| | {{dash|1, 5/3, 7/5}}
| |
| | starling
| |
| | {{dash|1/1, 7/5, 5/3}}
| |
| | {{dash|'''1/1, 6/5, 10/7'''}}
| |
| | {{dash|1/1, 6/5, 5/3}}
| |
| | Cdim
| |
| |-
| |
| | 9
| |
| | {{dash|0, 4, 6}}
| |
| | {{dash|1, 5/4, 7/5}}
| |
| | marvel
| |
| | {{dash|'''1/1, 5/4, 7/5'''}}
| |
| | {{dash|1/1, 9/8, 8/5}}
| |
| | {{dash|1/1, 10/7, 16/9}}
| |
| | C(vb5)
| |
| |-
| |
| | 10
| |
| | {{dash|0, 2, 8}}
| |
| | {{dash|1, 10/9, 14/9}}
| |
| | otonal
| |
| | {{dash|'''1/1, 10/9, 14/9'''}}
| |
| | {{dash|1/1, 7/5, 9/5}}
| |
| | {{dash|'''1/1, 9/7, 10/7'''}}
| |
| | C2(#5) <u>or</u> C^(b5)
| |
| |-
| |
| | 11
| |
| | {{dash|0, 4, 8}}
| |
| | {{dash|1, 5/4, 14/9}}
| |
| | marvel
| |
| | {{dash|'''1/1, 5/4, 14/9'''}}
| |
| | {{dash|1/1, 5/4, 8/5}}
| |
| | {{dash|1/1, 9/7, 8/5}}
| |
| | Caug
| |
| |-
| |
| | 12
| |
| | {{dash|0, 6, 8}}
| |
| | {{dash|1, 7/5, 14/9}}
| |
| | utonal
| |
| | {{dash|1/1, 7/5, 14/9}}
| |
| | {{dash|'''1/1, 10/9, 10/7'''}}
| |
| | {{dash|'''1/1, 9/7, 9/5'''}}
| |
| | C2(b5) <u>or</u> C^,7no5
| |
| |-
| |
| | 13
| |
| | {{dash|0, 1, 9}}
| |
| | {{dash|1, 3/2, 7/6}}
| |
| | otonal
| |
| | {{dash|'''1/1, 7/6, 3/2'''}}
| |
| | {{dash|1/1, 9/7, 12/7}}
| |
| | {{dash|1/1, 4/3, 14/9}}
| |
| | Cvm
| |
| |-
| |
| | 14
| |
| | {{dash|0, 3, 9}}
| |
| | {{dash|1, 5/3, 7/6}}
| |
| | otonal
| |
| | {{dash|1/1, 7/6, 5/3}}
| |
| | {{dash|'''1/1, 10/7, 12/7'''}}
| |
| | {{dash|'''1/1, 6/5, 7/5'''}}
| |
| | Cdim7no3 <u>or</u> Cdim(v5)
| |
| |-
| |
| | 15
| |
| | {{dash|0, 6, 9}}
| |
| | {{dash|1, 7/5, 7/6}}
| |
| | utonal
| |
| | {{dash|'''1/1, 7/6, 7/5'''}}
| |
| | {{dash|'''1/1, 6/5, 12/7'''}}
| |
| | {{dash|1/1, 10/7, 5/3}}
| |
| | Cvdim(v5) <u>or</u> Cdim7no5
| |
| |-
| |
| | 16
| |
| | {{dash|0, 8, 9}}
| |
| | {{dash|1, 14/9, 7/6}}
| |
| | utonal
| |
| | {{dash|1/1, 7/6, 14/9}}
| |
| | {{dash|1/1, 4/3, 12/7}}
| |
| | {{dash|'''1/1, 9/7, 3/2'''}}
| |
| | C^
| |
| |-
| |
| | 17
| |
| | {{dash|0, 1, 10}}
| |
| | {{dash|1, 3/2, 7/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 3/2, 7/4'''}}
| |
| | {{dash|1/1, 7/6, 4/3}}
| |
| | {{dash|1/1, 8/7, 12/7}}
| |
| | Cv7no3
| |
| |-
| |
| | 18
| |
| | {{dash|0, 2, 10}}
| |
| | {{dash|1, 9/8, 7/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 9/8, 7/4'''}}
| |
| | {{dash|1/1, 14/9, 16/9}}
| |
| | {{dash|1/1, 8/7, 9/7}}
| |
| | Cv9no35
| |
| |-
| |
| | 19
| |
| | {{dash|0, 4, 10}}
| |
| | {{dash|1, 5/4, 7/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 5/4, 7/4'''}}
| |
| | {{dash|1/1, 7/5, 8/5}}
| |
| | {{dash|1/1, 8/7, 10/7}}
| |
| | C,v7no5
| |
| |-
| |
| | 20
| |
| | {{dash|0, 6, 10}}
| |
| | {{dash|1, 7/5, 7/4}}
| |
| | utonal
| |
| | {{dash|1/1, 7/5, 7/4}}
| |
| | {{dash|'''1/1, 5/4, 10/7'''}}
| |
| | {{dash|1/1, 8/7, 8/5}}
| |
| | C(b5)
| |
| |-
| |
| | 21
| |
| | {{dash|0, 8, 10}}
| |
| | {{dash|1, 14/9, 7/4}}
| |
| | utonal
| |
| | {{dash|1/1, 14/9, 7/4}}
| |
| | {{dash|'''1/1, 9/8, 9/7'''}}
| |
| | {{dash|1/1, 8/7, 16/9}}
| |
| | C^,9no5
| |
| |-
| |
| | 22
| |
| | {{dash|0, 9, 10}}
| |
| | {{dash|1, 7/6, 7/4}}
| |
| | utonal
| |
| | {{dash|'''1/1, 7/6, 7/4'''}}
| |
| | {{dash|1/1, 3/2, 12/7}}
| |
| | {{dash|1/1, 8/7, 4/3}}
| |
| | Cvm7no5
| |
| |-
| |
| | 23
| |
| | {{dash|0, 4, 14}}
| |
| | {{dash|1, 5/4, 11/10}}
| |
| | valinorsmic
| |
| | {{dash|1/1, 11/10, 5/4}}
| |
| | {{dash|1/1, 8/7, 20/11}}
| |
| | {{dash|1/1, 8/5, 7/4}}
| |
| |
| |
| |-
| |
| | 24
| |
| | {{dash|0, 6, 14}}
| |
| | {{dash|1, 7/5, 11/10}}
| |
| | otonal
| |
| | {{dash|1/1, 11/10, 7/5}}
| |
| | {{dash|1/1, 14/11, 20/11}}
| |
| | {{dash|1/1, 10/7, 11/7}}
| |
| |
| |
| |-
| |
| | 25
| |
| | {{dash|0, 8, 14}}
| |
| | {{dash|1, 11/7, 11/10}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/7}}
| |
| | {{dash|1/1, 10/7, 20/11}}
| |
| | {{dash|1/1, 14/11, 7/5}}
| |
| |
| |
| |-
| |
| | 26
| |
| | {{dash|0, 10, 14}}
| |
| | {{dash|1, 7/4, 11/10}}
| |
| | valinorsmic
| |
| | {{dash|1/1, 11/10, 7/4}}
| |
| | {{dash|1/1, 8/5, 20/11}}
| |
| | {{dash|1/1, 8/7, 5/4}}
| |
| |
| |
| |-
| |
| | 27
| |
| | {{dash|0, 2, 16}}
| |
| | {{dash|1, 10/9, 11/9}}
| |
| | otonal
| |
| | {{dash|1/1, 10/9, 11/9}}
| |
| | {{dash|1/1, 11/10, 9/5}}
| |
| | {{dash|1/1, 18/11, 20/11}}
| |
| |
| |
| |-
| |
| | 28
| |
| | {{dash|0, 6, 16}}
| |
| | {{dash|1, 7/5, 11/9}}
| |
| | werckismic
| |
| | {{dash|1/1, 11/9, 7/5}}
| |
| | {{dash|1/1, 8/7, 18/11}}
| |
| | {{dash|1/1, 10/7, 7/4}}
| |
| |
| |
| |-
| |
| | 29
| |
| | {{dash|0, 8, 16}}
| |
| | {{dash|1, 14/9, 11/9}}
| |
| | otonal
| |
| | {{dash|1/1, 11/9, 14/9}}
| |
| | {{dash|1/1, 14/11, 18/11}}
| |
| | {{dash|1/1, 9/7, 11/7}}
| |
| |
| |
| |-
| |
| | 30
| |
| | {{dash|0, 10, 16}}
| |
| | {{dash|1, 7/4, 11/9}}
| |
| | werckismic
| |
| | {{dash|1/1, 11/9, 7/4}}
| |
| | {{dash|1/1, 10/7, 18/11}}
| |
| | {{dash|1/1, 8/7, 7/5}}
| |
| |
| |
| |-
| |
| | 31
| |
| | {{dash|0, 14, 16}}
| |
| | {{dash|1, 11/10, 11/9}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9}}
| |
| | {{dash|1/1, 10/9, 20/11}}
| |
| | {{dash|1/1, 18/11, 9/5}}
| |
| |
| |
| |-
| |
| | 32
| |
| | {{dash|0, 1, 17}}
| |
| | {{dash|1, 3/2, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 3/2, 11/6}}
| |
| | {{dash|1/1, 11/9, 4/3}}
| |
| | {{dash|1/1, 12/11, 18/11}}
| |
| |
| |
| |-
| |
| | 33
| |
| | {{dash|0, 3, 17}}
| |
| | {{dash|1, 5/3, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 5/3, 11/6}}
| |
| | {{dash|1/1, 11/10, 6/5}}
| |
| | {{dash|1/1, 12/11, 20/11}}
| |
| |
| |
| |-
| |
| | 34
| |
| | {{dash|0, 8, 17}}
| |
| | {{dash|1, 11/7, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/7, 11/6}}
| |
| | {{dash|1/1, 7/6, 14/11}}
| |
| | {{dash|1/1, 12/11, 12/7}}
| |
| |
| |
| |-
| |
| | 35
| |
| | {{dash|0, 9, 17}}
| |
| | {{dash|1, 7/6, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 7/6, 11/6}}
| |
| | {{dash|1/1, 11/7, 12/7}}
| |
| | {{dash|1/1, 12/11, 14/11}}
| |
| |
| |
| |-
| |
| | 36
| |
| | {{dash|0, 14, 17}}
| |
| | {{dash|1, 11/10, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/6}}
| |
| | {{dash|1/1, 5/3, 20/11}}
| |
| | {{dash|1/1, 12/11, 6/5}}
| |
| |
| |
| |-
| |
| | 37
| |
| | {{dash|0, 16, 17}}
| |
| | {{dash|1, 11/9, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/9, 11/6}}
| |
| | {{dash|1/1, 3/2, 18/11}}
| |
| | {{dash|1/1, 12/11, 4/3}}
| |
| |
| |
| |-
| |
| | 38
| |
| | {{dash|0, 1, 18}}
| |
| | {{dash|1, 3/2, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 11/8, 3/2}}
| |
| | {{dash|1/1, 12/11, 16/11}}
| |
| | {{dash|1/1, 4/3, 11/6}}
| |
| |
| |
| |-
| |
| | 39
| |
| | {{dash|0, 2, 18}}
| |
| | {{dash|1, 9/8, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 11/8}}
| |
| | {{dash|1/1, 11/9, 16/9}}
| |
| | {{dash|1/1, 16/11, 18/11}}
| |
| |
| |
| |-
| |
| | 40
| |
| | {{dash|0, 4, 18}}
| |
| | {{dash|1, 5/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 5/4, 11/8}}
| |
| | {{dash|1/1, 11/10, 8/5}}
| |
| | {{dash|1/1, 16/11, 20/11}}
| |
| |
| |
| |-
| |
| | 41
| |
| | {{dash|0, 8, 18}}
| |
| | {{dash|1, 11/7, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/8, 11/7}}
| |
| | {{dash|1/1, 8/7, 16/11}}
| |
| | {{dash|1/1, 14/11, 7/4}}
| |
| |
| |
| |-
| |
| | 42
| |
| | {{dash|0, 9, 18}}
| |
| | {{dash|1, 7/6, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8}}
| |
| | {{dash|1/1, 7/6, 12/7}}
| |
| | {{dash|1/1, 16/11, 12/7}}
| |
| |
| |
| |-
| |
| | 43
| |
| | {{dash|0, 10, 18}}
| |
| | {{dash|1, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 11/8, 7/4}}
| |
| | {{dash|1/1, 14/11, 16/11}}
| |
| | {{dash|1/1, 8/7, 11/7}}
| |
| |
| |
| |-
| |
| | 44
| |
| | {{dash|0, 14, 18}}
| |
| | {{dash|1, 11/10, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/8}}
| |
| | {{dash|1/1, 5/4, 20/11}}
| |
| | {{dash|1/1, 16/11, 8/5}}
| |
| |
| |
| |-
| |
| | 45
| |
| | {{dash|0, 16, 18}}
| |
| | {{dash|1, 11/9, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/9, 11/8}}
| |
| | {{dash|1/1, 9/8, 18/11}}
| |
| | {{dash|1/1, 16/11, 16/9}}
| |
| |
| |
| |-
| |
| | 46
| |
| | {{dash|0, 17, 18}}
| |
| | {{dash|1, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/8, 11/6}}
| |
| | {{dash|1/1, 4/3, 16/11}}
| |
| | {{dash|1/1, 12/11, 3/2}}
| |
| |
| |
| |}
| |
| | |
| == Tetrads ==
| |
| {| class="wikitable"
| |
| |-
| |
| ! #
| |
| ! Chord
| |
| ! Transversal
| |
| ! Type
| |
| ! As generated
| |
| ! 1st inversion
| |
| ! 2nd inversion
| |
| ! 3rd inversion
| |
| ! Name
| |
| |-
| |
| | 1
| |
| | {{dash|0, 1, 2, 3}}
| |
| | {{dash|1, 3/2, 9/8, 5/3}}
| |
| | didymic
| |
| | {{dash|1/1, 9/8, 3/2, 5/3}}
| |
| | {{dash|'''1/1, 4/3, 3/2, 16/9'''}}
| |
| | {{dash|'''1/1, 9/8, 4/3, 3/2'''}}
| |
| | {{dash|1/1, 6/5, 4/3, 9/5}}
| |
| | C7sus4 <u>or</u> C4,9
| |
| |-
| |
| | 2
| |
| | {{dash|0, 1, 2, 4}}
| |
| | {{dash|1, 3/2, 9/8, 5/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 9/8, 5/4, 3/2'''}}
| |
| | {{dash|1/1, 10/9, 4/3, 16/9}}
| |
| | {{dash|1/1, 6/5, 8/5, 9/5}}
| |
| | {{dash|1/1, 4/3, 3/2, 5/3}}
| |
| | Cadd9
| |
| |-
| |
| | 3
| |
| | {{dash|0, 1, 3, 4}}
| |
| | {{dash|1, 3/2, 5/3, 5/4}}
| |
| | ambitonal
| |
| | {{dash|'''1/1, 5/4, 3/2, 5/3'''}}
| |
| | {{dash|1/1, 6/5, 4/3, 8/5}}
| |
| | {{dash|1/1, 9/8, 4/3, 5/3}}
| |
| | {{dash|'''1/1, 6/5, 3/2, 9/5'''}}
| |
| | C6 <u>or</u> Cm7
| |
| |-
| |
| | 4
| |
| | {{dash|0, 2, 3, 4}}
| |
| | {{dash|1, 10/9, 5/3, 5/4}}
| |
| | utonal
| |
| | {{dash|1/1, 10/9, 5/4, 5/3}}
| |
| | {{dash|'''1/1, 9/8, 3/2, 9/5'''}}
| |
| | {{dash|1/1, 4/3, 8/5, 16/9}}
| |
| | {{dash|1/1, 6/5, 4/3, 3/2}}
| |
| | C9no3
| |
| |-
| |
| | 5
| |
| | {{dash|0, 2, 3, 6}}
| |
| | {{dash|1, 9/8, 5/3, 7/5}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 7/5, 5/3}}
| |
| | {{dash|'''1/1, 5/4, 3/2, 16/9'''}}
| |
| | {{dash|1/1, 6/5, 10/7, 8/5}}
| |
| | {{dash|1/1, 6/5, 4/3, 5/3}}
| |
| | C7
| |
| |-
| |
| | 6
| |
| | {{dash|0, 2, 4, 6}}
| |
| | {{dash|1, 9/8, 5/4, 7/5}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 5/4, 7/5}}
| |
| | {{dash|'''1/1, 10/9, 5/4, 16/9'''}}
| |
| | {{dash|1/1, 9/8, 8/5, 9/5}}
| |
| | {{dash|1/1, 10/7, 8/5, 9/5}}
| |
| | C9no5
| |
| |-
| |
| | 7
| |
| | {{dash|0, 3, 4, 6}}
| |
| | {{dash|1, 5/3, 5/4, 7/5}}
| |
| | erato
| |
| | {{dash|1/1, 5/4, 7/5, 5/3}}
| |
| | {{dash|1/1, 9/8, 4/3, 8/5}}
| |
| | {{dash|'''1/1, 6/5, 10/7, 16/9'''}}
| |
| | {{dash|'''1/1, 6/5, 3/2, 5/3'''}}
| |
| | Cm7(b5) <u>or</u> Cm6
| |
| |-
| |
| | 8
| |
| | {{dash|0, 2, 4, 8}}
| |
| | {{dash|1, 9/8, 5/4, 14/9}}
| |
| | erato
| |
| | {{dash|'''1/1, 9/8, 5/4, 14/9'''}}
| |
| | {{dash|1/1, 10/9, 7/5, 16/9}}
| |
| | {{dash|1/1, 5/4, 8/5, 9/5}}
| |
| | {{dash|1/1, 9/7, 10/7, 8/5}}
| |
| | Caug,9
| |
| |-
| |
| | 9
| |
| | {{dash|0, 2, 6, 8}}
| |
| | {{dash|1, 9/8, 7/5, 14/9}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 7/5, 14/9}}
| |
| | {{dash|'''1/1, 5/4, 7/5, 16/9'''}}
| |
| | {{dash|1/1, 10/9, 10/7, 8/5}}
| |
| | {{dash|1/1, 9/7, 10/7, 9/5}}
| |
| | C7(vb5)
| |
| |-
| |
| | 10
| |
| | {{dash|0, 4, 6, 8}}
| |
| | {{dash|1, 5/4, 7/5, 14/9}}
| |
| | erato
| |
| | {{dash|1/1, 5/4, 7/5, 14/9}}
| |
| | {{dash|1/1, 9/8, 5/4, 8/5}}
| |
| | {{dash|'''1/1, 10/9, 10/7, 16/9'''}}
| |
| | {{dash|1/1, 9/7, 8/5, 9/5}}
| |
| | C9(b5)no3
| |
| |-
| |
| | 11
| |
| | {{dash|0, 1, 3, 9}}
| |
| | {{dash|1, 3/2, 5/3, 7/6}}
| |
| | otonal
| |
| | {{dash|1/1, 7/6, 3/2, 5/3}}
| |
| | {{dash|1/1, 9/7, 10/7, 12/7}}
| |
| | {{dash|1/1, 10/9, 4/3, 14/9}}
| |
| | {{dash|'''1/1, 6/5, 7/5, 9/5'''}}
| |
| | Cm7(vb5)
| |
| |-
| |
| | 12
| |
| | {{dash|0, 3, 6, 9}}
| |
| | {{dash|1, 5/3, 7/5, 7/6}}
| |
| | starling
| |
| | {{dash|1/1, 7/6, 7/5, 5/3}}
| |
| | {{dash|'''1/1, 6/5, 10/7, 12/7'''}}
| |
| | {{dash|1/1, 6/5, 10/7, 5/3}}
| |
| | {{dash|1/1, 6/5, 7/5, 5/3}}
| |
| | Cdim7
| |
| |-
| |
| | 13
| |
| | {{dash|0, 6, 8, 9}}
| |
| | {{dash|1, 7/5, 14/9, 7/6}}
| |
| | utonal
| |
| | {{dash|1/1, 7/6, 7/5, 14/9}}
| |
| | {{dash|1/1, 6/5, 4/3, 12/7}}
| |
| | {{dash|1/1, 10/9, 10/7, 5/3}}
| |
| | {{dash|'''1/1, 9/7, 3/2, 9/5'''}}
| |
| | C^,7
| |
| |-
| |
| | 14
| |
| | {{dash|0, 1, 2, 10}}
| |
| | {{dash|1, 3/2, 9/8, 7/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 9/8, 3/2, 7/4'''}}
| |
| | {{dash|1/1, 4/3, 14/9, 16/9}}
| |
| | {{dash|'''1/1, 7/6, 4/3, 3/2'''}}
| |
| | {{dash|1/1, 8/7, 9/7, 12/7}}
| |
| | Cv7no3 <u>or</u> Cvm,11
| |
| |-
| |
| | 15
| |
| | {{dash|0, 1, 4, 10}}
| |
| | {{dash|1, 3/2, 5/4, 7/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 5/4, 3/2, 7/4'''}}
| |
| | {{dash|1/1, 6/5, 7/5, 8/5}}
| |
| | {{dash|1/1, 7/6, 4/3, 5/3}}
| |
| | {{dash|1/1, 8/7, 10/7, 12/7}}
| |
| | C,v7
| |
| |-
| |
| | 16
| |
| | {{dash|0, 2, 4, 10}}
| |
| | {{dash|1, 9/8, 5/4, 7/4}}
| |
| | otonal
| |
| | {{dash|'''1/1, 9/8, 5/4, 7/4'''}}
| |
| | {{dash|1/1, 10/9, 14/9, 16/9}}
| |
| | {{dash|1/1, 7/5, 8/5, 9/5}}
| |
| | {{dash|1/1, 8/7, 9/7, 10/7}}
| |
| | C9(v7)no5
| |
| |-
| |
| | 17
| |
| | {{dash|0, 2, 6, 10}}
| |
| | {{dash|1, 9/8, 7/5, 7/4}}
| |
| | marvel
| |
| | {{dash|1/1, 9/8, 7/5, 7/4}}
| |
| | {{dash|'''1/1, 5/4, 14/9, 16/9'''}}
| |
| | {{dash|1/1, 5/4, 10/7, 8/5}}
| |
| | {{dash|1/1, 8/7, 9/7, 8/5}}
| |
| | C7(#5) <u>or</u> Caug7
| |
| |-
| |
| | 18
| |
| | {{dash|0, 4, 6, 10}}
| |
| | {{dash|1, 5/4, 7/5, 7/4}}
| |
| | marvel
| |
| | {{dash|1/1, 5/4, 7/5, 7/4}}
| |
| | {{dash|1/1, 9/8, 7/5, 8/5}}
| |
| | {{dash|'''1/1, 5/4, 10/7, 16/9'''}}
| |
| | {{dash|1/1, 8/7, 10/7, 8/5}}
| |
| | C7(b5)
| |
| |-
| |
| | 19
| |
| | {{dash|0, 2, 8, 10}}
| |
| | {{dash|1, 9/8, 14/9, 7/4}}
| |
| | didymic
| |
| | {{dash|1/1, 9/8, 14/9, 7/4}}
| |
| | {{dash|1/1, 7/5, 14/9, 16/9}}
| |
| | {{dash|1/1, 9/8, 9/7, 10/7}}
| |
| | {{dash|1/1, 8/7, 9/7, 16/9}}
| |
| |
| |
| |-
| |
| | 20
| |
| | {{dash|0, 4, 8, 10}}
| |
| | {{dash|1, 5/4, 14/9, 7/4}}
| |
| | marvel
| |
| | {{dash|1/1, 5/4, 14/9, 7/4}}
| |
| | {{dash|1/1, 5/4, 7/5, 8/5}}
| |
| | {{dash|1/1, 9/8, 9/7, 8/5}}
| |
| | {{dash|1/1, 8/7, 10/7, 16/9}}
| |
| |
| |
| |-
| |
| | 21
| |
| | {{dash|0, 6, 8, 10}}
| |
| | {{dash|1, 7/5, 14/9, 7/4}}
| |
| | utonal
| |
| | {{dash|1/1, 7/5, 14/9, 7/4}}
| |
| | {{dash|'''1/1, 10/9, 5/4, 10/7'''}}
| |
| | {{dash|1/1, 9/8, 9/7, 9/5}}
| |
| | {{dash|1/1, 8/7, 8/5, 16/9}}
| |
| | C,9(b5)
| |
| |-
| |
| | 22
| |
| | {{dash|0, 1, 9, 10}}
| |
| | {{dash|1, 3/2, 7/6, 7/4}}
| |
| | ambitonal
| |
| | {{dash|'''1/1, 7/6, 3/2, 7/4'''}}
| |
| | {{dash|'''1/1, 9/7, 3/2, 12/7'''}}
| |
| | {{dash|1/1, 7/6, 4/3, 14/9}}
| |
| | {{dash|1/1, 8/7, 4/3, 12/7}}
| |
| | Cvm7 <u>or</u> C^6
| |
| |-
| |
| | 23
| |
| | {{dash|0, 6, 9, 10}}
| |
| | {{dash|1, 7/5, 7/6, 7/4}}
| |
| | utonal
| |
| | {{dash|'''1/1, 7/6, 7/5, 7/4'''}}
| |
| | {{dash|'''1/1, 6/5, 3/2, 12/7'''}}
| |
| | {{dash|'''1/1, 5/4, 10/7, 5/3'''}}
| |
| | {{dash|1/1, 8/7, 4/3, 8/5}}
| |
| | Cvm7(vb5) <u>or</u> Cm^6 <u>or</u> C6(b5)
| |
| |-
| |
| | 24
| |
| | {{dash|0, 8, 9, 10}}
| |
| | {{dash|1, 14/9, 7/6, 7/4}}
| |
| | utonal
| |
| | {{dash|'''1/1, 7/6, 14/9, 7/4'''}}
| |
| | {{dash|'''1/1, 4/3, 3/2, 12/7'''}}
| |
| | {{dash|'''1/1, 9/8, 9/7, 3/2'''}}
| |
| | {{dash|1/1, 8/7, 4/3, 16/9}}
| |
| | Cvm7(#5) <u>or</u> C4^6 <u>or</u> C^,9
| |
| |-
| |
| | 25
| |
| | {{dash|0, 4, 6, 14}}
| |
| | {{dash|1, 5/4, 7/5, 11/10}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 5/4, 7/5}}
| |
| | {{dash|1/1, 9/8, 14/11, 20/11}}
| |
| | {{dash|1/1, 9/8, 8/5, 7/4}}
| |
| | {{dash|1/1, 10/7, 11/7, 16/9}}
| |
| |
| |
| |-
| |
| | 26
| |
| | {{dash|0, 4, 8, 14}}
| |
| | {{dash|1, 5/4, 14/9, 11/10}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 5/4, 14/9}}
| |
| | {{dash|1/1, 9/8, 10/7, 20/11}}
| |
| | {{dash|1/1, 5/4, 8/5, 7/4}}
| |
| | {{dash|1/1, 9/7, 7/5, 8/5}}
| |
| |
| |
| |-
| |
| | 27
| |
| | {{dash|0, 6, 8, 14}}
| |
| | {{dash|1, 7/5, 14/9, 11/10}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/10, 7/5, 14/9}}
| |
| | {{dash|1/1, 14/11, 10/7, 20/11}}
| |
| | {{dash|1/1, 10/9, 10/7, 11/7}}
| |
| | {{dash|'''1/1, 9/7, 7/5, 9/5'''}}
| |
| | C^,7(vb5)
| |
| |-
| |
| | 28
| |
| | {{dash|0, 4, 10, 14}}
| |
| | {{dash|1, 5/4, 7/4, 11/10}}
| |
| | valinorsmic
| |
| | {{dash|1/1, 11/10, 5/4, 7/4}}
| |
| | {{dash|1/1, 25/22, 8/5, 20/11}}
| |
| | {{dash|1/1, 7/5, 8/5, 7/4}}
| |
| | {{dash|'''1/1, 8/7, 5/4, 10/7'''}}
| |
| | C,^9(b5)
| |
| |-
| |
| | 29
| |
| | {{dash|0, 6, 10, 14}}
| |
| | {{dash|1, 7/5, 7/4, 11/10}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 7/5, 7/4}}
| |
| | {{dash|1/1, 14/11, 8/5, 20/11}}
| |
| | {{dash|1/1, 5/4, 10/7, 11/7}}
| |
| | {{dash|1/1, 8/7, 5/4, 8/5}}
| |
| |
| |
| |-
| |
| | 30
| |
| | {{dash|0, 8, 10, 14}}
| |
| | {{dash|1, 14/9, 7/4, 11/10}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 14/9, 7/4}}
| |
| | {{dash|1/1, 7/5, 8/5, 20/11}}
| |
| | {{dash|1/1, 9/8, 9/7, 7/5}}
| |
| | {{dash|1/1, 8/7, 5/4, 16/9}}
| |
| |
| |
| |-
| |
| | 31
| |
| | {{dash|0, 2, 6, 16}}
| |
| | {{dash|1, 9/8, 7/5, 11/9}}
| |
| | meantone
| |
| | {{dash|1/1, 9/8, 11/9, 7/5}}
| |
| | {{dash|1/1, 11/10, 5/4, 16/9}}
| |
| | {{dash|1/1, 8/7, 18/11, 20/11}}
| |
| | {{dash|1/1, 10/7, 8/5, 7/4}}
| |
| |
| |
| |-
| |
| | 32
| |
| | {{dash|0, 2, 8, 16}}
| |
| | {{dash|1, 10/9, 14/9, 11/9}}
| |
| | otonal
| |
| | {{dash|1/1, 10/9, 11/9, 14/9}}
| |
| | {{dash|1/1, 11/10, 7/5, 9/5}}
| |
| | {{dash|1/1, 14/11, 18/11, 20/11}}
| |
| | {{dash|1/1, 9/7, 10/7, 11/7}}
| |
| |
| |
| |-
| |
| | 33
| |
| | {{dash|0, 6, 8, 16}}
| |
| | {{dash|1, 7/5, 14/9, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/9, 7/5, 14/9}}
| |
| | {{dash|1/1, 8/7, 14/11, 18/11}}
| |
| | {{dash|1/1, 9/8, 10/7, 7/4}}
| |
| | {{dash|1/1, 9/7, 11/7, 9/5}}
| |
| |
| |
| |-
| |
| | 34
| |
| | {{dash|0, 2, 10, 16}}
| |
| | {{dash|1, 9/8, 7/4, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 9/8, 11/9, 7/4}}
| |
| | {{dash|1/1, 11/10, 14/9, 16/9}}
| |
| | {{dash|1/1, 10/7, 18/11, 20/11}}
| |
| | {{dash|1/1, 8/7, 9/7, 7/5}}
| |
| |
| |
| |-
| |
| | 35
| |
| | {{dash|0, 6, 10, 16}}
| |
| | {{dash|1, 7/5, 7/4, 11/9}}
| |
| | werckismic
| |
| | {{dash|1/1, 11/9, 7/5, 7/4}}
| |
| | {{dash|1/1, 8/7, 10/7, 18/11}}
| |
| | {{dash|1/1, 5/4, 10/7, 7/4}}
| |
| | {{dash|1/1, 8/7, 7/5, 8/5}}
| |
| |
| |
| |-
| |
| | 36
| |
| | {{dash|0, 8, 10, 16}}
| |
| | {{dash|1, 14/9, 7/4, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/9, 14/9, 7/4}}
| |
| | {{dash|1/1, 14/11, 10/7, 18/11}}
| |
| | {{dash|1/1, 9/8, 9/7, 11/7}}
| |
| | {{dash|1/1, 8/7, 7/5, 16/9}}
| |
| |
| |
| |-
| |
| | 37
| |
| | {{dash|0, 6, 14, 16}}
| |
| | {{dash|1, 7/5, 11/10, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/10, 11/9, 7/5}}
| |
| | {{dash|1/1, 10/9, 14/11, 20/11}}
| |
| | {{dash|1/1, 8/7, 18/11, 9/5}}
| |
| | {{dash|1/1, 10/7, 11/7, 7/4}}
| |
| |
| |
| |-
| |
| | 38
| |
| | {{dash|0, 8, 14, 16}}
| |
| | {{dash|1, 11/7, 11/10, 11/9}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9, 11/7}}
| |
| | {{dash|1/1, 10/9, 10/7, 20/11}}
| |
| | {{dash|1/1, 9/7, 18/11, 9/5}}
| |
| | {{dash|1/1, 14/11, 7/5, 14/9}}
| |
| |
| |
| |-
| |
| | 39
| |
| | {{dash|0, 10, 14, 16}}
| |
| | {{dash|1, 7/4, 11/10, 11/9}}
| |
| | meantone
| |
| | {{dash|1/1, 11/10, 11/9, 7/4}}
| |
| | {{dash|1/1, 10/9, 8/5, 20/11}}
| |
| | {{dash|1/1, 10/7, 18/11, 9/5}}
| |
| | {{dash|1/1, 8/7, 5/4, 7/5}}
| |
| |
| |
| |-
| |
| | 40
| |
| | {{dash|0, 1, 3, 17}}
| |
| | {{dash|1, 3/2, 5/3, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 3/2, 5/3, 11/6}}
| |
| | {{dash|1/1, 10/9, 11/9, 4/3}}
| |
| | {{dash|1/1, 11/10, 6/5, 9/5}}
| |
| | {{dash|1/1, 12/11, 18/11, 20/11}}
| |
| |
| |
| |-
| |
| | 41
| |
| | {{dash|0, 1, 9, 17}}
| |
| | {{dash|1, 3/2, 7/6, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 7/6, 3/2, 11/6}}
| |
| | {{dash|1/1, 9/7, 11/7, 12/7}}
| |
| | {{dash|1/1, 11/9, 4/3, 14/9}}
| |
| | {{dash|1/1, 12/11, 14/11, 18/11}}
| |
| |
| |
| |-
| |
| | 42
| |
| | {{dash|0, 3, 9, 17}}
| |
| | {{dash|1, 5/3, 7/6, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 7/6, 5/3, 11/6}}
| |
| | {{dash|1/1, 10/7, 11/7, 12/7}}
| |
| | {{dash|1/1, 11/10, 6/5, 7/5}}
| |
| | {{dash|1/1, 12/11, 14/11, 20/11}}
| |
| |
| |
| |-
| |
| | 43
| |
| | {{dash|0, 8, 9, 17}}
| |
| | {{dash|1, 14/9, 7/6, 11/6}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 14/9, 11/6}}
| |
| | {{dash|1/1, 4/3, 11/7, 12/7}}
| |
| | {{dash|1/1, 7/6, 9/7, 3/2}}
| |
| | {{dash|1/1, 12/11, 14/11, 12/7}}
| |
| |
| |
| |-
| |
| | 44
| |
| | {{dash|0, 8, 14, 17}}
| |
| | {{dash|1, 11/7, 11/10, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/7, 11/6}}
| |
| | {{dash|1/1, 10/7, 5/3, 20/11}}
| |
| | {{dash|1/1, 7/6, 14/11, 7/5}}
| |
| | {{dash|1/1, 12/11, 6/5, 12/7}}
| |
| |
| |
| |-
| |
| | 45
| |
| | {{dash|0, 8, 16, 17}}
| |
| | {{dash|1, 11/7, 11/9, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/9, 11/7, 11/6}}
| |
| | {{dash|1/1, 9/7, 3/2, 18/11}}
| |
| | {{dash|1/1, 7/6, 14/11, 14/9}}
| |
| | {{dash|1/1, 12/11, 4/3, 12/7}}
| |
| |
| |
| |-
| |
| | 46
| |
| | {{dash|0, 14, 16, 17}}
| |
| | {{dash|1, 11/10, 11/9, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9, 11/6}}
| |
| | {{dash|1/1, 10/9, 5/3, 20/11}}
| |
| | {{dash|1/1, 3/2, 18/11, 9/5}}
| |
| | {{dash|1/1, 12/11, 6/5, 4/3}}
| |
| |
| |
| |-
| |
| | 47
| |
| | {{dash|0, 1, 2, 18}}
| |
| | {{dash|1, 3/2, 9/8, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 11/8, 3/2}}
| |
| | {{dash|1/1, 11/9, 4/3, 16/9}}
| |
| | {{dash|1/1, 12/11, 16/11, 18/11}}
| |
| | {{dash|1/1, 4/3, 3/2, 11/6}}
| |
| |
| |
| |-
| |
| | 48
| |
| | {{dash|0, 1, 4, 18}}
| |
| | {{dash|1, 3/2, 5/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 5/4, 11/8, 3/2}}
| |
| | {{dash|1/1, 11/10, 6/5, 8/5}}
| |
| | {{dash|1/1, 12/11, 16/11, 20/11}}
| |
| | {{dash|1/1, 4/3, 5/3, 11/6}}
| |
| |
| |
| |-
| |
| | 49
| |
| | {{dash|0, 2, 4, 18}}
| |
| | {{dash|1, 9/8, 5/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 5/4, 11/8}}
| |
| | {{dash|1/1, 10/9, 11/9, 16/9}}
| |
| | {{dash|1/1, 11/10, 8/5, 9/5}}
| |
| | {{dash|1/1, 16/11, 18/11, 20/11}}
| |
| |
| |
| |-
| |
| | 50
| |
| | {{dash|0, 2, 8, 18}}
| |
| | {{dash|1, 9/8, 14/9, 11/8}}
| |
| | euterpe
| |
| | {{dash|1/1, 9/8, 11/8, 14/9}}
| |
| | {{dash|1/1, 11/9, 7/5, 16/9}}
| |
| | {{dash|1/1, 8/7, 16/11, 18/11}}
| |
| | {{dash|1/1, 9/7, 10/7, 7/4}}
| |
| |
| |
| |-
| |
| | 51
| |
| | {{dash|0, 4, 8, 18}}
| |
| | {{dash|1, 5/4, 14/9, 11/8}}
| |
| | minerva
| |
| | {{dash|1/1, 5/4, 11/8, 14/9}}
| |
| | {{dash|1/1, 11/10, 5/4, 8/5}}
| |
| | {{dash|1/1, 8/7, 16/11, 20/11}}
| |
| | {{dash|1/1, 9/7, 8/5, 7/4}}
| |
| |
| |
| |-
| |
| | 52
| |
| | {{dash|0, 1, 9, 18}}
| |
| | {{dash|1, 3/2, 7/6, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 3/2}}
| |
| | {{dash|1/1, 7/6, 9/7, 12/7}}
| |
| | {{dash|1/1, 12/11, 16/11, 12/7}}
| |
| | {{dash|1/1, 4/3, 14/9, 11/6}}
| |
| |
| |
| |-
| |
| | 53
| |
| | {{dash|0, 8, 9, 18}}
| |
| | {{dash|1, 14/9, 7/6, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 14/9}}
| |
| | {{dash|1/1, 7/6, 4/3, 12/7}}
| |
| | {{dash|1/1, 8/7, 16/11, 12/7}}
| |
| | {{dash|1/1, 9/7, 3/2, 7/4}}
| |
| |
| |
| |-
| |
| | 54
| |
| | {{dash|0, 1, 10, 18}}
| |
| | {{dash|1, 3/2, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 11/8, 3/2, 7/4}}
| |
| | {{dash|1/1, 12/11, 14/11, 16/11}}
| |
| | {{dash|1/1, 7/6, 4/3, 11/6}}
| |
| | {{dash|1/1, 8/7, 11/7, 12/7}}
| |
| |
| |
| |-
| |
| | 55
| |
| | {{dash|0, 2, 10, 18}}
| |
| | {{dash|1, 9/8, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 11/8, 7/4}}
| |
| | {{dash|1/1, 11/9, 14/9, 16/9}}
| |
| | {{dash|1/1, 14/11, 16/11, 18/11}}
| |
| | {{dash|1/1, 8/7, 9/7, 11/7}}
| |
| |
| |
| |-
| |
| | 56
| |
| | {{dash|0, 4, 10, 18}}
| |
| | {{dash|1, 5/4, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 5/4, 11/8, 7/4}}
| |
| | {{dash|1/1, 11/10, 7/5, 8/5}}
| |
| | {{dash|1/1, 14/11, 16/11, 20/11}}
| |
| | {{dash|1/1, 8/7, 10/7, 11/7}}
| |
| |
| |
| |-
| |
| | 57
| |
| | {{dash|0, 8, 10, 18}}
| |
| | {{dash|1, 14/9, 7/4, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 11/8, 14/9, 7/4}}
| |
| | {{dash|1/1, 8/7, 14/11, 16/11}}
| |
| | {{dash|1/1, 9/8, 9/7, 7/4}}
| |
| | {{dash|1/1, 8/7, 11/7, 16/9}}
| |
| |
| |
| |-
| |
| | 58
| |
| | {{dash|0, 9, 10, 18}}
| |
| | {{dash|1, 7/6, 7/4, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 7/4}}
| |
| | {{dash|1/1, 7/6, 3/2, 12/7}}
| |
| | {{dash|1/1, 14/11, 16/11, 12/7}}
| |
| | {{dash|1/1, 8/7, 4/3, 11/7}}
| |
| |
| |
| |-
| |
| | 59
| |
| | {{dash|0, 4, 14, 18}}
| |
| | {{dash|1, 5/4, 11/10, 11/8}}
| |
| | valinorsmic
| |
| | {{dash|1/1, 11/10, 5/4, 11/8}}
| |
| | {{dash|1/1, 8/7, 5/4, 20/11}}
| |
| | {{dash|1/1, 11/10, 8/5, 7/4}}
| |
| | {{dash|1/1, 16/11, 8/5, 20/11}}
| |
| |
| |
| |-
| |
| | 60
| |
| | {{dash|0, 8, 14, 18}}
| |
| | {{dash|1, 11/7, 11/10, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/8, 11/7}}
| |
| | {{dash|1/1, 5/4, 10/7, 20/11}}
| |
| | {{dash|1/1, 8/7, 16/11, 8/5}}
| |
| | {{dash|1/1, 14/11, 7/5, 7/4}}
| |
| |
| |
| |-
| |
| | 61
| |
| | {{dash|0, 10, 14, 18}}
| |
| | {{dash|1, 7/4, 11/10, 11/8}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 11/8, 7/4}}
| |
| | {{dash|1/1, 5/4, 8/5, 20/11}}
| |
| | {{dash|1/1, 14/11, 16/11, 8/5}}
| |
| | {{dash|1/1, 8/7, 5/4, 11/7}}
| |
| |
| |
| |-
| |
| | 62
| |
| | {{dash|0, 2, 16, 18}}
| |
| | {{dash|1, 9/8, 11/9, 11/8}}
| |
| | didymic
| |
| | {{dash|1/1, 9/8, 11/9, 11/8}}
| |
| | {{dash|1/1, 11/10, 11/9, 16/9}}
| |
| | {{dash|1/1, 9/8, 18/11, 20/11}}
| |
| | {{dash|1/1, 16/11, 18/11, 16/9}}
| |
| |
| |
| |-
| |
| | 63
| |
| | {{dash|0, 8, 16, 18}}
| |
| | {{dash|1, 11/7, 11/9, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/9, 11/8, 11/7}}
| |
| | {{dash|1/1, 9/8, 9/7, 18/11}}
| |
| | {{dash|1/1, 8/7, 16/11, 16/9}}
| |
| | {{dash|1/1, 14/11, 14/9, 7/4}}
| |
| |
| |
| |-
| |
| | 64
| |
| | {{dash|0, 10, 16, 18}}
| |
| | {{dash|1, 7/4, 11/9, 11/8}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/9, 11/8, 7/4}}
| |
| | {{dash|1/1, 9/8, 10/7, 18/11}}
| |
| | {{dash|1/1, 14/11, 16/11, 16/9}}
| |
| | {{dash|1/1, 8/7, 7/5, 11/7}}
| |
| |
| |
| |-
| |
| | 65
| |
| | {{dash|0, 14, 16, 18}}
| |
| | {{dash|1, 11/10, 11/9, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9, 11/8}}
| |
| | {{dash|1/1, 10/9, 5/4, 20/11}}
| |
| | {{dash|1/1, 9/8, 18/11, 9/5}}
| |
| | {{dash|1/1, 16/11, 8/5, 16/9}}
| |
| |
| |
| |-
| |
| | 66
| |
| | {{dash|0, 1, 17, 18}}
| |
| | {{dash|1, 3/2, 11/6, 11/8}}
| |
| | ambitonal
| |
| | {{dash|1/1, 11/8, 3/2, 11/6}}
| |
| | {{dash|1/1, 12/11, 4/3, 16/11}}
| |
| | {{dash|1/1, 11/9, 4/3, 11/6}}
| |
| | {{dash|1/1, 12/11, 3/2, 18/11}}
| |
| |
| |
| |-
| |
| | 67
| |
| | {{dash|0, 8, 17, 18}}
| |
| | {{dash|1, 11/7, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/8, 11/7, 11/6}}
| |
| | {{dash|1/1, 8/7, 4/3, 16/11}}
| |
| | {{dash|1/1, 7/6, 14/11, 7/4}}
| |
| | {{dash|1/1, 12/11, 3/2, 12/7}}
| |
| |
| |
| |-
| |
| | 68
| |
| | {{dash|0, 9, 17, 18}}
| |
| | {{dash|1, 7/6, 11/6, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 11/6}}
| |
| | {{dash|1/1, 7/6, 11/7, 12/7}}
| |
| | {{dash|1/1, 4/3, 16/11, 12/7}}
| |
| | {{dash|1/1, 12/11, 14/11, 3/2}}
| |
| |
| |
| |-
| |
| | 69
| |
| | {{dash|0, 14, 17, 18}}
| |
| | {{dash|1, 11/10, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/8, 11/6}}
| |
| | {{dash|1/1, 5/4, 5/3, 20/11}}
| |
| | {{dash|1/1, 4/3, 16/11, 8/5}}
| |
| | {{dash|1/1, 12/11, 6/5, 3/2}}
| |
| |
| |
| |-
| |
| | 70
| |
| | {{dash|0, 16, 17, 18}}
| |
| | {{dash|1, 11/9, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/9, 11/8, 11/6}}
| |
| | {{dash|1/1, 9/8, 3/2, 18/11}}
| |
| | {{dash|1/1, 4/3, 16/11, 16/9}}
| |
| | {{dash|1/1, 12/11, 4/3, 3/2}}
| |
| |
| |
| |}
| |
| | |
| == Pentads ==
| |
| {| class="wikitable"
| |
| |-
| |
| ! Chord
| |
| ! Transversal
| |
| ! Type
| |
| ! As generated
| |
| ! First inversion
| |
| ! Second inversion
| |
| ! Third inversion
| |
| ! Fourth inversion
| |
| |-
| |
| | {{dash|0, 1, 2, 3, 4}}
| |
| | {{dash|1, 3/2, 9/8, 5/3, 5/4}}
| |
| | didymic
| |
| | {{dash|1/1, 9/8, 5/4, 3/2, 5/3 }}
| |
| | {{dash|1/1, 10/9, 4/3, 3/2, 16/9 }}
| |
| | {{dash|1/1, 6/5, 4/3, 8/5, 9/5 }}
| |
| | {{dash|1/1, 10/9, 4/3, 3/2, 5/3 }}
| |
| | {{dash|1/1, 6/5, 4/3, 3/2, 9/5 }}
| |
| |-
| |
| | {{dash|0, 2, 3, 4, 6}}
| |
| | {{dash|1, 9/8, 5/3, 5/4, 7/5}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 5/4, 7/5, 5/3 }}
| |
| | {{dash|1/1, 10/9, 5/4, 3/2, 16/9 }}
| |
| | {{dash|1/1, 10/9, 4/3, 8/5, 9/5 }}
| |
| | {{dash|1/1, 6/5, 10/7, 8/5, 9/5 }}
| |
| | {{dash|1/1, 6/5, 4/3, 3/2, 5/3 }}
| |
| |-
| |
| | {{dash|0, 2, 4, 6, 8}}
| |
| | {{dash|1, 9/8, 5/4, 7/5, 14/9}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 5/4, 7/5, 14/9 }}
| |
| | {{dash|1/1, 10/9, 5/4, 7/5, 16/9 }}
| |
| | {{dash|1/1, 10/9, 5/4, 8/5, 9/5 }}
| |
| | {{dash|1/1, 10/9, 10/7, 8/5, 9/5 }}
| |
| | {{dash|1/1, 9/7, 10/7, 8/5, 9/5 }}
| |
| |-
| |
| | {{dash|0, 1, 2, 4, 10}}
| |
| | {{dash|1, 3/2, 9/8, 5/4, 7/4}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 5/4, 3/2, 7/4 }}
| |
| | {{dash|1/1, 10/9, 4/3, 14/9, 16/9 }}
| |
| | {{dash|1/1, 6/5, 7/5, 8/5, 9/5 }}
| |
| | {{dash|1/1, 7/6, 4/3, 3/2, 5/3 }}
| |
| | {{dash|1/1, 8/7, 9/7, 10/7, 12/7 }}
| |
| |-
| |
| | {{dash|0, 2, 4, 6, 10}}
| |
| | {{dash|1, 9/8, 5/4, 7/5, 7/4}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 5/4, 7/5, 7/4 }}
| |
| | {{dash|1/1, 10/9, 5/4, 14/9, 16/9 }}
| |
| | {{dash|1/1, 10/9, 7/5, 8/5, 9/5 }}
| |
| | {{dash|1/1, 5/4, 10/7, 8/5, 9/5 }}
| |
| | {{dash|1/1, 8/7, 9/7, 10/7, 8/5 }}
| |
| |-
| |
| | {{dash|0, 2, 4, 8, 10}}
| |
| | {{dash|1, 9/8, 5/4, 14/9, 7/4}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 5/4, 14/9, 7/4 }}
| |
| | {{dash|1/1, 10/9, 7/5, 14/9, 16/9 }}
| |
| | {{dash|1/1, 5/4, 7/5, 8/5, 9/5 }}
| |
| | {{dash|1/1, 9/8, 9/7, 10/7, 8/5 }}
| |
| | {{dash|1/1, 8/7, 9/7, 10/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 2, 6, 8, 10}}
| |
| | {{dash|1, 9/8, 7/5, 14/9, 7/4}}
| |
| | erato
| |
| | {{dash|1/1, 9/8, 7/5, 14/9, 7/4 }}
| |
| | {{dash|1/1, 5/4, 7/5, 14/9, 16/9 }}
| |
| | {{dash|1/1, 10/9, 5/4, 10/7, 8/5 }}
| |
| | {{dash|1/1, 9/8, 9/7, 10/7, 9/5 }}
| |
| | {{dash|1/1, 8/7, 9/7, 8/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 4, 6, 8, 10}}
| |
| | {{dash|1, 5/4, 7/5, 14/9, 7/4}}
| |
| | erato
| |
| | {{dash|1/1, 5/4, 7/5, 14/9, 7/4 }}
| |
| | {{dash|1/1, 9/8, 5/4, 7/5, 8/5 }}
| |
| | {{dash|1/1, 10/9, 5/4, 10/7, 9/5 }}
| |
| | {{dash|1/1, 9/8, 9/7, 8/5, 9/5 }}
| |
| | {{dash|1/1, 8/7, 10/7, 8/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 6, 8, 9, 10}}
| |
| | {{dash|1, 7/5, 14/9, 7/6, 7/4}}
| |
| | utonal
| |
| | {{dash|1/1, 7/6, 7/5, 14/9, 7/4 }}
| |
| | {{dash|1/1, 6/5, 4/3, 3/2, 12/7 }}
| |
| | {{dash|1/1, 10/9, 5/4, 10/7, 5/3 }}
| |
| | {{dash|1/1, 9/8, 9/7, 3/2, 9/5 }}
| |
| | {{dash|1/1, 8/7, 4/3, 8/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 4, 6, 8, 14}}
| |
| | {{dash|1, 5/4, 7/5, 14/9, 11/10}}
| |
| | meantone
| |
| | {{dash|1/1, 11/10, 5/4, 7/5, 14/9 }}
| |
| | {{dash|1/1, 9/8, 14/11, 10/7, 20/11 }}
| |
| | {{dash|1/1, 10/9, 5/4, 8/5, 7/4 }}
| |
| | {{dash|1/1, 10/9, 10/7, 11/7, 9/5 }}
| |
| | {{dash|1/1, 9/7, 7/5, 8/5, 9/5 }}
| |
| |-
| |
| | {{dash|0, 4, 6, 10, 14}}
| |
| | {{dash|1, 5/4, 7/5, 7/4, 11/10}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 5/4, 7/5, 7/4 }}
| |
| | {{dash|1/1, 9/8, 14/11, 8/5, 20/11 }}
| |
| | {{dash|1/1, 10/9, 7/5, 8/5, 7/4 }}
| |
| | {{dash|1/1, 5/4, 10/7, 11/7, 9/5 }}
| |
| | {{dash|1/1, 8/7, 5/4, 10/7, 8/5 }}
| |
| |-
| |
| | {{dash|0, 4, 8, 10, 14}}
| |
| | {{dash|1, 5/4, 14/9, 7/4, 11/10}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 5/4, 14/9, 7/4 }}
| |
| | {{dash|1/1, 9/8, 7/5, 8/5, 20/11 }}
| |
| | {{dash|1/1, 5/4, 7/5, 8/5, 7/4 }}
| |
| | {{dash|1/1, 9/8, 9/7, 7/5, 8/5 }}
| |
| | {{dash|1/1, 8/7, 5/4, 10/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 6, 8, 10, 14}}
| |
| | {{dash|1, 7/5, 14/9, 7/4, 11/10}}
| |
| | meantone
| |
| | {{dash|1/1, 11/10, 7/5, 14/9, 7/4 }}
| |
| | {{dash|1/1, 14/11, 7/5, 8/5, 20/11 }}
| |
| | {{dash|1/1, 10/9, 5/4, 10/7, 11/7 }}
| |
| | {{dash|1/1, 9/8, 9/7, 7/5, 9/5 }}
| |
| | {{dash|1/1, 8/7, 5/4, 8/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 2, 6, 8, 16}}
| |
| | {{dash|1, 9/8, 7/5, 14/9, 11/9}}
| |
| | meantone
| |
| | {{dash|1/1, 9/8, 11/9, 7/5, 14/9 }}
| |
| | {{dash|1/1, 11/10, 5/4, 7/5, 16/9 }}
| |
| | {{dash|1/1, 8/7, 14/11, 18/11, 20/11 }}
| |
| | {{dash|1/1, 10/9, 10/7, 8/5, 7/4 }}
| |
| | {{dash|1/1, 9/7, 10/7, 11/7, 9/5 }}
| |
| |-
| |
| | {{dash|0, 2, 6, 10, 16}}
| |
| | {{dash|1, 9/8, 7/5, 7/4, 11/9}}
| |
| | meantone
| |
| | {{dash|1/1, 9/8, 11/9, 7/5, 7/4 }}
| |
| | {{dash|1/1, 11/10, 5/4, 14/9, 16/9 }}
| |
| | {{dash|1/1, 8/7, 10/7, 18/11, 20/11 }}
| |
| | {{dash|1/1, 5/4, 10/7, 8/5, 7/4 }}
| |
| | {{dash|1/1, 8/7, 9/7, 7/5, 8/5 }}
| |
| |-
| |
| | {{dash|0, 2, 8, 10, 16}}
| |
| | {{dash|1, 9/8, 14/9, 7/4, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 9/8, 11/9, 14/9, 7/4 }}
| |
| | {{dash|1/1, 11/10, 7/5, 14/9, 16/9 }}
| |
| | {{dash|1/1, 14/11, 10/7, 18/11, 20/11 }}
| |
| | {{dash|1/1, 9/8, 9/7, 10/7, 11/7 }}
| |
| | {{dash|1/1, 8/7, 9/7, 7/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 6, 8, 10, 16}}
| |
| | {{dash|1, 7/5, 14/9, 7/4, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/9, 7/5, 14/9, 7/4 }}
| |
| | {{dash|1/1, 8/7, 14/11, 10/7, 18/11 }}
| |
| | {{dash|1/1, 10/9, 5/4, 10/7, 7/4 }}
| |
| | {{dash|1/1, 9/8, 9/7, 11/7, 9/5 }}
| |
| | {{dash|1/1, 8/7, 7/5, 8/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 6, 8, 14, 16}}
| |
| | {{dash|1, 7/5, 14/9, 11/10, 11/9}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/10, 11/9, 7/5, 14/9 }}
| |
| | {{dash|1/1, 10/9, 14/11, 10/7, 20/11 }}
| |
| | {{dash|1/1, 8/7, 14/11, 18/11, 9/5 }}
| |
| | {{dash|1/1, 10/9, 10/7, 11/7, 7/4 }}
| |
| | {{dash|1/1, 9/7, 7/5, 11/7, 9/5 }}
| |
| |-
| |
| | {{dash|0, 6, 10, 14, 16}}
| |
| | {{dash|1, 7/5, 7/4, 11/10, 11/9}}
| |
| | meantone
| |
| | {{dash|1/1, 11/10, 11/9, 7/5, 7/4 }}
| |
| | {{dash|1/1, 10/9, 14/11, 8/5, 20/11 }}
| |
| | {{dash|1/1, 8/7, 10/7, 18/11, 9/5 }}
| |
| | {{dash|1/1, 5/4, 10/7, 11/7, 7/4 }}
| |
| | {{dash|1/1, 8/7, 5/4, 7/5, 8/5 }}
| |
| |-
| |
| | {{dash|0, 8, 10, 14, 16}}
| |
| | {{dash|1, 14/9, 7/4, 11/10, 11/9}}
| |
| | meantone
| |
| | {{dash|1/1, 11/10, 11/9, 14/9, 7/4 }}
| |
| | {{dash|1/1, 10/9, 7/5, 8/5, 20/11 }}
| |
| | {{dash|1/1, 14/11, 10/7, 18/11, 9/5 }}
| |
| | {{dash|1/1, 9/8, 9/7, 7/5, 11/7 }}
| |
| | {{dash|1/1, 8/7, 5/4, 7/5, 16/9 }}
| |
| |-
| |
| | {{dash|0, 1, 3, 9, 17}}
| |
| | {{dash|1, 3/2, 5/3, 7/6, 11/6}}
| |
| | otonal
| |
| | {{dash|1/1, 7/6, 3/2, 5/3, 11/6 }}
| |
| | {{dash|1/1, 9/7, 10/7, 11/7, 12/7 }}
| |
| | {{dash|1/1, 10/9, 11/9, 4/3, 14/9 }}
| |
| | {{dash|1/1, 11/10, 6/5, 7/5, 9/5 }}
| |
| | {{dash|1/1, 12/11, 14/11, 18/11, 20/11 }}
| |
| |-
| |
| | {{dash|0, 8, 14, 16, 17}}
| |
| | {{dash|1, 11/7, 11/10, 11/9, 11/6}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9, 11/7, 11/6 }}
| |
| | {{dash|1/1, 10/9, 10/7, 5/3, 20/11 }}
| |
| | {{dash|1/1, 9/7, 3/2, 18/11, 9/5 }}
| |
| | {{dash|1/1, 7/6, 14/11, 7/5, 14/9 }}
| |
| | {{dash|1/1, 12/11, 6/5, 4/3, 12/7 }}
| |
| |-
| |
| | {{dash|0, 1, 2, 4, 18}}
| |
| | {{dash|1, 3/2, 9/8, 5/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 5/4, 11/8, 3/2 }}
| |
| | {{dash|1/1, 10/9, 11/9, 4/3, 16/9 }}
| |
| | {{dash|1/1, 11/10, 6/5, 8/5, 9/5 }}
| |
| | {{dash|1/1, 12/11, 16/11, 18/11, 20/11 }}
| |
| | {{dash|1/1, 4/3, 3/2, 5/3, 11/6 }}
| |
| |-
| |
| | {{dash|0, 2, 4, 8, 18}}
| |
| | {{dash|1, 9/8, 5/4, 14/9, 11/8}}
| |
| | meantone
| |
| | {{dash|1/1, 9/8, 5/4, 11/8, 14/9 }}
| |
| | {{dash|1/1, 10/9, 11/9, 7/5, 16/9 }}
| |
| | {{dash|1/1, 11/10, 5/4, 8/5, 9/5 }}
| |
| | {{dash|1/1, 8/7, 16/11, 18/11, 20/11 }}
| |
| | {{dash|1/1, 9/7, 10/7, 8/5, 7/4 }}
| |
| |-
| |
| | {{dash|0, 1, 2, 10, 18}}
| |
| | {{dash|1, 3/2, 9/8, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 11/8, 3/2, 7/4 }}
| |
| | {{dash|1/1, 11/9, 4/3, 14/9, 16/9 }}
| |
| | {{dash|1/1, 12/11, 14/11, 16/11, 18/11 }}
| |
| | {{dash|1/1, 7/6, 4/3, 3/2, 11/6 }}
| |
| | {{dash|1/1, 8/7, 9/7, 11/7, 12/7 }}
| |
| |-
| |
| | {{dash|0, 1, 4, 10, 18}}
| |
| | {{dash|1, 3/2, 5/4, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 5/4, 11/8, 3/2, 7/4 }}
| |
| | {{dash|1/1, 11/10, 6/5, 7/5, 8/5 }}
| |
| | {{dash|1/1, 12/11, 14/11, 16/11, 20/11 }}
| |
| | {{dash|1/1, 7/6, 4/3, 5/3, 11/6 }}
| |
| | {{dash|1/1, 8/7, 10/7, 11/7, 12/7 }}
| |
| |-
| |
| | {{dash|0, 2, 4, 10, 18}}
| |
| | {{dash|1, 9/8, 5/4, 7/4, 11/8}}
| |
| | otonal
| |
| | {{dash|1/1, 9/8, 5/4, 11/8, 7/4 }}
| |
| | {{dash|1/1, 10/9, 11/9, 14/9, 16/9 }}
| |
| | {{dash|1/1, 11/10, 7/5, 8/5, 9/5 }}
| |
| | {{dash|1/1, 14/11, 16/11, 18/11, 20/11 }}
| |
| | {{dash|1/1, 8/7, 9/7, 10/7, 11/7 }}
| |
| |-
| |
| | {{dash|0, 2, 8, 10, 18}}
| |
| | {{dash|1, 9/8, 14/9, 7/4, 11/8}}
| |
| | euterpe
| |
| | {{dash|1/1, 9/8, 11/8, 14/9, 7/4 }}
| |
| | {{dash|1/1, 11/9, 7/5, 14/9, 16/9 }}
| |
| | {{dash|1/1, 8/7, 14/11, 16/11, 18/11 }}
| |
| | {{dash|1/1, 9/8, 9/7, 10/7, 7/4 }}
| |
| | {{dash|1/1, 8/7, 9/7, 11/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 4, 8, 10, 18}}
| |
| | {{dash|1, 5/4, 14/9, 7/4, 11/8}}
| |
| | minerva
| |
| | {{dash|1/1, 5/4, 11/8, 14/9, 7/4 }}
| |
| | {{dash|1/1, 11/10, 5/4, 7/5, 8/5 }}
| |
| | {{dash|1/1, 8/7, 14/11, 16/11, 20/11 }}
| |
| | {{dash|1/1, 9/8, 9/7, 8/5, 7/4 }}
| |
| | {{dash|1/1, 8/7, 10/7, 11/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 1, 9, 10, 18}}
| |
| | {{dash|1, 3/2, 7/6, 7/4, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 3/2, 7/4 }}
| |
| | {{dash|1/1, 7/6, 9/7, 3/2, 12/7 }}
| |
| | {{dash|1/1, 12/11, 14/11, 16/11, 12/7 }}
| |
| | {{dash|1/1, 7/6, 4/3, 14/9, 11/6 }}
| |
| | {{dash|1/1, 8/7, 4/3, 11/7, 12/7 }}
| |
| |-
| |
| | {{dash|0, 8, 9, 10, 18}}
| |
| | {{dash|1, 14/9, 7/6, 7/4, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 14/9, 7/4 }}
| |
| | {{dash|1/1, 7/6, 4/3, 3/2, 12/7 }}
| |
| | {{dash|1/1, 8/7, 14/11, 16/11, 12/7 }}
| |
| | {{dash|1/1, 9/8, 9/7, 3/2, 7/4 }}
| |
| | {{dash|1/1, 8/7, 4/3, 11/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 4, 8, 14, 18}}
| |
| | {{dash|1, 5/4, 14/9, 11/10, 11/8}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 5/4, 11/8, 14/9 }}
| |
| | {{dash|1/1, 9/8, 5/4, 10/7, 20/11 }}
| |
| | {{dash|1/1, 11/10, 5/4, 8/5, 7/4 }}
| |
| | {{dash|1/1, 8/7, 16/11, 8/5, 20/11 }}
| |
| | {{dash|1/1, 9/7, 7/5, 8/5, 7/4 }}
| |
| |-
| |
| | {{dash|0, 4, 10, 14, 18}}
| |
| | {{dash|1, 5/4, 7/4, 11/10, 11/8}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 5/4, 11/8, 7/4 }}
| |
| | {{dash|1/1, 9/8, 5/4, 8/5, 20/11 }}
| |
| | {{dash|1/1, 11/10, 7/5, 8/5, 7/4 }}
| |
| | {{dash|1/1, 14/11, 16/11, 8/5, 20/11 }}
| |
| | {{dash|1/1, 8/7, 5/4, 10/7, 11/7 }}
| |
| |-
| |
| | {{dash|0, 8, 10, 14, 18}}
| |
| | {{dash|1, 14/9, 7/4, 11/10, 11/8}}
| |
| | minerva
| |
| | {{dash|1/1, 11/10, 11/8, 14/9, 7/4 }}
| |
| | {{dash|1/1, 5/4, 7/5, 8/5, 20/11 }}
| |
| | {{dash|1/1, 8/7, 14/11, 16/11, 8/5 }}
| |
| | {{dash|1/1, 9/8, 9/7, 7/5, 7/4 }}
| |
| | {{dash|1/1, 8/7, 5/4, 11/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 2, 8, 16, 18}}
| |
| | {{dash|1, 9/8, 14/9, 11/9, 11/8}}
| |
| | euterpe
| |
| | {{dash|1/1, 9/8, 11/9, 11/8, 14/9 }}
| |
| | {{dash|1/1, 11/10, 11/9, 7/5, 16/9 }}
| |
| | {{dash|1/1, 9/8, 14/11, 18/11, 20/11 }}
| |
| | {{dash|1/1, 8/7, 16/11, 18/11, 16/9 }}
| |
| | {{dash|1/1, 9/7, 10/7, 11/7, 7/4 }}
| |
| |-
| |
| | {{dash|0, 2, 10, 16, 18}}
| |
| | {{dash|1, 9/8, 7/4, 11/9, 11/8}}
| |
| | euterpe
| |
| | {{dash|1/1, 9/8, 11/9, 11/8, 7/4 }}
| |
| | {{dash|1/1, 11/10, 11/9, 14/9, 16/9 }}
| |
| | {{dash|1/1, 9/8, 10/7, 18/11, 20/11 }}
| |
| | {{dash|1/1, 14/11, 16/11, 18/11, 16/9 }}
| |
| | {{dash|1/1, 8/7, 9/7, 7/5, 11/7 }}
| |
| |-
| |
| | {{dash|0, 8, 10, 16, 18}}
| |
| | {{dash|1, 14/9, 7/4, 11/9, 11/8}}
| |
| | euterpe
| |
| | {{dash|1/1, 11/9, 11/8, 14/9, 7/4 }}
| |
| | {{dash|1/1, 9/8, 14/11, 10/7, 18/11 }}
| |
| | {{dash|1/1, 8/7, 14/11, 16/11, 16/9 }}
| |
| | {{dash|1/1, 9/8, 9/7, 11/7, 7/4 }}
| |
| | {{dash|1/1, 8/7, 7/5, 11/7, 16/9 }}
| |
| |-
| |
| | {{dash|0, 8, 14, 16, 18}}
| |
| | {{dash|1, 11/7, 11/10, 11/9, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9, 11/8, 11/7 }}
| |
| | {{dash|1/1, 10/9, 5/4, 10/7, 20/11 }}
| |
| | {{dash|1/1, 9/8, 9/7, 18/11, 9/5 }}
| |
| | {{dash|1/1, 8/7, 16/11, 8/5, 16/9 }}
| |
| | {{dash|1/1, 14/11, 7/5, 14/9, 7/4 }}
| |
| |-
| |
| | {{dash|0, 10, 14, 16, 18}}
| |
| | {{dash|1, 7/4, 11/10, 11/9, 11/8}}
| |
| | meantone
| |
| | {{dash|1/1, 11/10, 11/9, 11/8, 7/4 }}
| |
| | {{dash|1/1, 10/9, 5/4, 8/5, 20/11 }}
| |
| | {{dash|1/1, 9/8, 10/7, 18/11, 9/5 }}
| |
| | {{dash|1/1, 14/11, 16/11, 8/5, 16/9 }}
| |
| | {{dash|1/1, 8/7, 5/4, 7/5, 11/7 }}
| |
| |-
| |
| | {{dash|0, 1, 9, 17, 18}}
| |
| | {{dash|1, 3/2, 7/6, 11/6, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 3/2, 11/6 }}
| |
| | {{dash|1/1, 7/6, 9/7, 11/7, 12/7 }}
| |
| | {{dash|1/1, 12/11, 4/3, 16/11, 12/7 }}
| |
| | {{dash|1/1, 11/9, 4/3, 14/9, 11/6 }}
| |
| | {{dash|1/1, 12/11, 14/11, 3/2, 18/11 }}
| |
| |-
| |
| | {{dash|0, 8, 9, 17, 18}}
| |
| | {{dash|1, 14/9, 7/6, 11/6, 11/8}}
| |
| | mothwellsmic
| |
| | {{dash|1/1, 7/6, 11/8, 14/9, 11/6 }}
| |
| | {{dash|1/1, 7/6, 4/3, 11/7, 12/7 }}
| |
| | {{dash|1/1, 8/7, 4/3, 16/11, 12/7 }}
| |
| | {{dash|1/1, 7/6, 9/7, 3/2, 7/4 }}
| |
| | {{dash|1/1, 12/11, 14/11, 3/2, 12/7 }}
| |
| |-
| |
| | {{dash|0, 8, 14, 17, 18}}
| |
| | {{dash|1, 11/7, 11/10, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/8, 11/7, 11/6 }}
| |
| | {{dash|1/1, 5/4, 10/7, 5/3, 20/11 }}
| |
| | {{dash|1/1, 8/7, 4/3, 16/11, 8/5 }}
| |
| | {{dash|1/1, 7/6, 14/11, 7/5, 7/4 }}
| |
| | {{dash|1/1, 12/11, 6/5, 3/2, 12/7 }}
| |
| |-
| |
| | {{dash|0, 8, 16, 17, 18}}
| |
| | {{dash|1, 11/7, 11/9, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/9, 11/8, 11/7, 11/6 }}
| |
| | {{dash|1/1, 9/8, 9/7, 3/2, 18/11 }}
| |
| | {{dash|1/1, 8/7, 4/3, 16/11, 16/9 }}
| |
| | {{dash|1/1, 7/6, 14/11, 14/9, 7/4 }}
| |
| | {{dash|1/1, 12/11, 4/3, 3/2, 12/7 }}
| |
| |-
| |
| | {{dash|0, 14, 16, 17, 18}}
| |
| | {{dash|1, 11/10, 11/9, 11/6, 11/8}}
| |
| | utonal
| |
| | {{dash|1/1, 11/10, 11/9, 11/8, 11/6 }}
| |
| | {{dash|1/1, 10/9, 5/4, 5/3, 20/11 }}
| |
| | {{dash|1/1, 9/8, 3/2, 18/11, 9/5 }}
| |
| | {{dash|1/1, 4/3, 16/11, 8/5, 16/9 }}
| |
| | {{dash|1/1, 12/11, 6/5, 4/3, 3/2 }}
| |
| |}
| |
| | |
| == Hexads ==
| |
| {| class="wikitable"
| |
| |-
| |
| ! Number
| |
| ! Chord
| |
| ! Transversal
| |
| ! Type
| |
| |-
| |
| | 1
| |
| | {{dash|0, 2, 4, 6, 8, 10}}
| |
| | {{dash|1, 9/8, 5/4, 7/5, 14/9, 7/4}}
| |
| | erato
| |
| |-
| |
| | 2
| |
| | {{dash|0, 4, 6, 8, 10, 14}}
| |
| | {{dash|1, 5/4, 7/5, 14/9, 7/4, 11/10}}
| |
| | meantone
| |
| |-
| |
| | 3
| |
| | {{dash|0, 2, 6, 8, 10, 16}}
| |
| | {{dash|1, 9/8, 7/5, 14/9, 7/4, 11/9}}
| |
| | meantone
| |
| |-
| |
| | 4
| |
| | {{dash|0, 6, 8, 10, 14, 16}}
| |
| | {{dash|1, 7/5, 14/9, 7/4, 11/10, 11/9}}
| |
| | meantone
| |
| |-
| |
| | 5
| |
| | {{dash|0, 1, 2, 4, 10, 18}}
| |
| | {{dash|1, 3/2, 9/8, 5/4, 7/4, 11/8}}
| |
| | otonal
| |
| |-
| |
| | 6
| |
| | {{dash|0, 2, 4, 8, 10, 18}}
| |
| | {{dash|1, 9/8, 5/4, 14/9, 7/4, 11/8}}
| |
| | meantone
| |
| |-
| |
| | 7
| |
| | {{dash|0, 4, 8, 10, 14, 18}}
| |
| | {{dash|1, 5/4, 14/9, 7/4, 11/10, 11/8}}
| |
| | minerva
| |
| |-
| |
| | 8
| |
| | {{dash|0, 2, 8, 10, 16, 18}}
| |
| | {{dash|1, 9/8, 14/9, 7/4, 11/9, 11/8}}
| |
| | euterpe
| |
| |-
| |
| | 9
| |
| | {{dash|0, 8, 10, 14, 16, 18}}
| |
| | {{dash|1, 14/9, 7/4, 11/10, 11/9, 11/8-}}
| |
| | meantone
| |
| |-
| |
| | 10
| |
| | {{dash|0, 8, 14, 16, 17, 18}}
| |
| | {{dash|1, 11/7, 11/10, 11/9, 11/6, 11/8}}
| |
| | utonal
| |
| |}
| |
| | |
| [[Category:Lists of chords]]
| |
| [[Category:Dyadic chords]]
| |
| [[Category:11-limit]]
| |
| [[Category:Meantone]]
| |