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Below are listed the [[dyadic chord]]s of 11-limit [[hemififths]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[Swetismic chords|swetismic]], by [[441/440]] [[Werckismic chords|werckismic]], by [[896/891]] [[Pentacircle chords|pentacircle]], by [[243/242]] [[Rastmic chords|rastmic]], and by [[1344/1331]] [[Hemimin chords|hemimin]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[Jove chords|jove]]. Those requiring both 441/440 and 896/891 are labeled pele. Those requiring any two of 243/242, 896/891 or 1344/1331 are labeled parahemif. If the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled "hemififths".
Below are listed the [[11-odd-limit]] [[dyadic chord]]s of [[11-limit]] [[hemififths]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are [[swetismic chords|swetismic]], by [[441/440]] [[werckismic chords|werckismic]], by [[896/891]] [[pentacircle chords|pentacircle]], by [[243/242]] [[rastmic chords|rastmic]], and by [[1344/1331]] [[hemimin chords|hemimin]]. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled [[jove chords|jove]]. Those requiring both 441/440 and 896/891 are labeled [[pele chords|pele]]. Those requiring any two of 243/242, 896/891 or 1344/1331 are labeled [[parahemif chords|parahemif]]. If the full hemififths is required because of the tempering out of three independent hemififths commas, the chord is labeled ''hemififths''.


A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has MOS of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.
A striking feature of these hemififths chords is that essentially just chords tend to be of higher complexity than essentially tempered chords. Hemififths has [[mos scale]]s of size 7, 10, 17 and 24, and even seven notes are well-supplied with chords, mostly but by no means entirely essentially tempered chords. Extending consideration to the 13-limit adds even more such chords.


Chords are named with ups and downs. The tilde ~ means mid, half-way between major and minor. The comma (the actual punctuation mark) is pronounced "add", thus C~,7 is "C mid add7".
Chords are named with ups and downs, using pergen #4 (P8, P5/2) in the [http://tallkite.com/misc_files/notation%20guide%20for%20rank-2%20pergens.pdf notation guide for rank-2 pergens]. One up is 7 generators, which is a half-sharp. The tilde ~ means mid, half-way between major and minor. ~4 = ^4 = vA4 and ~5 = v5 = ^d5. The comma (the actual punctuation mark) is pronounced "add", thus C~,7 is "C mid add 7". To facilitate chord naming, lifts and drops are also used. One lift is -17 generators, a half-diminished second. Enharmonic equivalences: vvA1 and v\m2. Cents: ^1 = 50¢ + 3.5c and /1 = 50¢ - 8.5c, where c equals the amount in cents the tempered fifth exceeds 700¢. /1 = ~81/80 = ~64/63 and ^1 = ~33/32. To convert to 41edo, ^1 = 2\41 and /1 = 1\41.
{| class="wikitable"
 
The ''As harmonics or subharmonics'' column describes otonal chords as harmonics and utonal chords as subharmonics.
 
{| class="wikitable center-all"
|+Hemififth's genchain
|+Hemififth's genchain
!Genspan
! Genspan
!0
! 0
!1
! 1
!2
! 2
!3
! 3
!4
! 4
!5
! 5
!6
! 6
!7
! 7
!8
! 8
!9
! 9
!10
! 10
!11
! 11
!12
! 12
!13
! 13
!14
! …
!15
! 20
! 21
! …
! 23
! …
! 25
|-
! Cents (41edo)
| 0
| 351
| 702
| 1054
| 205
| 556
| 907
| 59
| 410
| 761
| 1112
| 263
| 615
| 966
| …
| 1024
| 176
| …
| 878
| …
| 380
|-
|-
!Ratio
! Ratio
|1/1
| 1/1
|11/9
| 11/9<br>16/13
|3/2
| 3/2
|11/6
| 11/6<br>24/13
|9/8
| 9/8
|11/8
| 11/8<br>18/13
|27/16
| 27/16<br>22/13
|33/32
| 28/27<br>33/32
|14/11
| 14/11
|14/9
| 14/9
|40/21
| 40/21<br>21/11
|7/6
| 7/6
|10/7
| 10/7
|7/4
| 7/4
|15/14
| …
|21/16
| 20/11
| 10/9
| …
| 5/3
| …
| 5/4
|-
|-
!Interval
! Interval
|P1
| P1
|~3
| ~3
|P5
| P5
|~7
| ~7
|M2
| M2
|~4
| ~4<br>\b5
|M6
| M6
|^1
| ^1<br>\m2
|M3
| M3
|^5
| ^5<br>\m6
|M7
| M7
|^2
| ^M2<br>\m3
|A4
| A4<br>\~5
|^6
| ^M6<br>\m7
|A1
| …
|^3
| A6<br>\~7
| ^A1<br>\M2
| …
| ^A5<br>\M6
| …
| ^A2<br>\M3
|}
|}
{{Todo|complete table|inline=1}}


== Triads ==
== Triads ==
Line 65: Line 107:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 74: Line 118:
| 1-11/9-3/2
| 1-11/9-3/2
| rastmic
| rastmic
|~
| C~
|
|
|-
|-
| 2
| 2
Line 80: Line 126:
| 1-11/9-11/6
| 1-11/9-11/6
| utonal
| utonal
|~7no5
| C~7no5
|
| 1/(11:9:6)
|-
|-
| 3
| 3
Line 86: Line 134:
| 1-3/2-11/6
| 1-3/2-11/6
| otonal
| otonal
|~7no3
| C~7no3
|
| 6:9:11
|-
|-
| 4
| 4
Line 92: Line 142:
| 1-11/9-9/8
| 1-11/9-9/8
| rastmic
| rastmic
|
| C~,9no5
|
|  
|-
|-
| 5
| 5
Line 98: Line 150:
| 1-3/2-9/8
| 1-3/2-9/8
| ambitonal
| ambitonal
|2 <u>or</u> 4
| C2 ''or'' C4
| 1-4/3-3/2
|
|-
|-
| 6
| 6
Line 104: Line 158:
| 1-11/6-9/8
| 1-11/6-9/8
| rastmic
| rastmic
|
| C~9no35
|
|  
|-
|-
| 7
| 7
Line 110: Line 166:
| 1-11/9-11/8
| 1-11/9-11/8
| utonal
| utonal
|~6sus2
| C~(\b5)
|
| 1/(11:9:8)
|-
|-
| 8
| 8
Line 116: Line 174:
| 1-3/2-11/8
| 1-3/2-11/8
| otonal
| otonal
|~7sus4
| C~7sus4no5
| 1-4/3-11/6
| 6:8:11
|-
|-
| 9
| 9
Line 122: Line 182:
| 1-11/6-11/8
| 1-11/6-11/8
| utonal
| utonal
|~2
| C~2
| 1-12/11-3/2
| 1/(12:11:8)
|-
|-
| 10
| 10
Line 128: Line 190:
| 1-9/8-11/8
| 1-9/8-11/8
| otonal
| otonal
|~,7no5
| C~,7no5
| 1-11/9-16/9
| 9:11:16
|-
|-
|11
| 11
|0-2-8
|1-3/2-14/11
|
|(major)
|-
| 12
| 0-3-8
| 0-3-8
| 1-11/6-14/11
| 1-11/6-14/11
| hemimin
| hemimin
|,~7no5
| C,~7no5
|
|
|-
|-
| 13
| 12
| 0-4-8
| 0-4-8
| 1-9/8-14/11
| 1-9/8-14/11
| pentacircle
| pentacircle
|,9no5
| C,9no5
|
|
|-
|-
| 14
| 13
| 0-5-8
| 0-5-8
| 1-11/8-14/11
| 1-11/8-14/11
| hemimin
| hemimin
|
| C(\b5)
|
|  
|-
|-
| 15
| 14
| 0-1-9
| 0-1-9
| 1-11/9-14/9
| 1-11/9-14/9
| otonal
| otonal
|
| C~(^5)
|
| 9:11:14
|-
|-
| 16
| 15
| 0-4-9
| 0-4-9
| 1-9/8-14/9
| 1-9/8-14/9
| pentacircle
| pentacircle
|7~4no5
| C7~4no5
| 1-11/8-16/9
|
|-
|-
| 17
| 16
| 0-5-9
| 0-5-9
| 1-11/8-14/9
| 1-11/8-14/9
| pentacircle
| pentacircle
|
| C2(~5) ''or''<br>C/,7no5
| 1-9/8-13/9<br>1-9/7-16/9
|  
|-
|-
| 18
| 17
| 0-8-9
| 0-8-9
| 1-14/11-14/9
| 1-14/11-14/9
| utonal
| utonal
|(^5)
| C(^5)
|
| 1/(14:11:9)
|-
|-
| 19
| 18
| 0-2-11
| 0-2-11
| 1-3/2-7/6
| 1-3/2-7/6
| otonal
| otonal
|
| C\m
|
| 6:7:9
|-
|-
| 20
| 19
| 0-3-11
| 0-3-11
| 1-11/6-7/6
| 1-11/6-7/6
| otonal
| otonal
|
| C\m~7no5
|
| 6:7:11
|-
|-
| 21
| 20
| 0-8-11
| 0-8-11
| 1-14/11-7/6
| 1-14/11-7/6
| utonal
| utonal
|
| C~2/6
| 1-12/11-12/7
| 1/(12:11:7)
|-
|-
| 22
| 21
| 0-9-11
| 0-9-11
| 1-14/9-7/6
| 1-14/9-7/6
| utonal
| utonal
|
| C/
| 1-9/7-3/2
| 1/(9:7:6)
|-
|-
| 23
| 22
| 0-1-12
| 0-1-12
| 1-11/9-10/7
| 1-11/9-10/7
| swetismic
| swetismic
|
| C~(\~5)
|
|  
|-
|-
| 24
| 23
| 0-3-12
| 0-3-12
| 1-11/6-10/7
| 1-11/6-10/7
| swetismic
| swetismic
|v4(b5)
| C/(b5)
| 1-9/7-7/5
|
|-
|-
| 25
| 24
| 0-4-12
| 0-4-12
| 1-9/8-10/7
| 1-9/8-10/7
| werckismic
| werckismic
|
| C2(\~5)
|
|  
|-
|-
| 26
| 25
| 0-8-12
| 0-8-12
| 1-14/11-10/7
| 1-14/11-10/7
| werckismic
| werckismic
|7(b5)no3
| C(\~5)
|
|
|-
|-
| 27
| 26
| 0-9-12
| 0-9-12
| 1-14/9-10/7
| 1-14/9-10/7
| swetismic
| swetismic
|~2(b5)
| C~2(b5)
| 1-12/11-7/5
|
|-
|-
| 28
| 27
| 0-11-12
| 0-11-12
| 1-7/6-10/7
| 1-7/6-10/7
| swetismic
| swetismic
|~6(b5)no3
| C\m(\~5)
|
|
|-
|-
| 29
| 28
| 0-1-13
| 0-1-13
| 1-11/9-7/4
| 1-11/9-7/4
| werckismic
| werckismic
|
| C~,\7no5
|
|  
|-
|-
| 30
| 29
| 0-2-13
| 0-2-13
| 1-3/2-7/4
| 1-3/2-7/4
| otonal
| otonal
|
| C\7no3
|
| 4:6:7
|-
|-
| 31
| 30
| 0-4-13
| 0-4-13
| 1-9/8-7/4
| 1-9/8-7/4
| otonal
| otonal
|
| C\9no35
|
| 4:7:9
|-
|-
| 32
| 31
| 0-5-13
| 0-5-13
| 1-11/8-7/4
| 1-11/8-7/4
| otonal
| otonal
|
| C(~5)
| 1-14/11-16/11
| 8:11:14
|-
|-
| 33
| 32
| 0-8-13
| 0-8-13
| 1-14/11-7/4
| 1-14/11-7/4
| utonal
| utonal
|
| C,\7
|
| 1/(14:11:8)
|-
|-
| 34
| 33
| 0-9-13
| 0-9-13
| 1-14/9-7/4
| 1-14/9-7/4
| utonal
| utonal
|
| C/,2no5
| 1-9/8-9/7
| 1/(9:8:7)
|-
|-
| 35
| 34
| 0-11-13
| 0-11-13
| 1-7/6-7/4
| 1-7/6-7/4
| utonal
| utonal
|
| C\m7no5
|
| 1/(7:6:4)
|-
|-
| 36
| 35
| 0-12-13
| 0-12-13
| 1-10/7-7/4
| 1-10/7-7/4
| werckismic
| werckismic
|
| C~(b5)
| 1-11/9-7/5
|  
|-
|-
| 37
| 36
| 0-8-20
| 0-8-20
| 1-14/11-20/11
| 1-14/11-20/11
| otonal
| otonal
|
| C,\~7no5
|
| 11:14:20
|-
|-
| 38
| 37
| 0-9-20
| 0-9-20
| 1-14/9-20/11
| 1-14/9-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 39
| 38
| 0-11-20
| 0-11-20
| 1-7/6-20/11
| 1-7/6-20/11
| swetismic
| swetismic
|
| C\m\~7no5
|
|  
|-
|-
| 40
| 39
| 0-12-20
| 0-12-20
| 1-10/7-20/11
| 1-10/7-20/11
| utonal
| utonal
|(b5)
| C(b5)
|
| 1/(20:14:11)
|-
|-
| 41
| 40
| 0-1-21
| 0-1-21
| 1-11/9-10/9
| 1-11/9-10/9
| otonal
| otonal
|
| C~,\9no5
|
| 9:10:11
|-
|-
| 42
| 41
| 0-8-21
| 0-8-21
| 1-14/11-10/9
| 1-14/11-10/9
| werckismic
| werckismic
|
| C,\9no5
|
|  
|-
|-
| 43
| 42
| 0-9-21
| 0-9-21
| 1-14/9-10/9
| 1-14/9-10/9
| otonal
| otonal
|
| C/(\~5)
| 1-9/7-10/7
| 7:9:10
|-
|-
| 44
| 43
| 0-12-21
| 0-12-21
| 1-10/7-10/9
| 1-10/7-10/9
| utonal
| utonal
|
| C\2(\~5)
|
| 1/(10:9:7)
|-
|-
| 45
| 44
| 0-13-21
| 0-13-21
| 1-7/4-10/9
| 1-7/4-10/9
| werckismic
| werckismic
|
| C\2\m7no5
|
|  
|-
|-
| 46
| 45
| 0-20-21
| 0-20-21
| 1-20/11-10/9
| 1-20/11-10/9
| utonal
| utonal
|
|  
|
| 1/(20:18:11)
|-
|-
| 47
| 46
| 0-2-23
| 0-2-23
| 1-3/2-5/3
| 1-3/2-5/3
| otonal
| otonal
|
| C\m7no5
| 1-6/5-9/5
| 5:6:9
|-
|-
| 48
| 47
| 0-3-23
| 0-3-23
| 1-11/6-5/3
| 1-11/6-5/3
| otonal
| otonal
|
|  
|
| 6:10:11
|-
|-
| 49
| 48
| 0-11-23
| 0-11-23
| 1-7/6-5/3
| 1-7/6-5/3
| otonal
| otonal
|
| C\m6no5
|
| 6:7:10
|-
|-
| 50
| 49
| 0-12-23
| 0-12-23
| 1-10/7-5/3
| 1-10/7-5/3
| utonal
| utonal
|
| C/dim
| 1-7/6-7/5
| 1/(10:7:6)
|-
|-
| 51
| 50
| 0-20-23
| 0-20-23
| 1-20/11-5/3
| 1-20/11-5/3
| utonal
| utonal
|
|  
|
| 1/(20:12:11)
|-
|-
| 52
| 51
| 0-21-23
| 0-21-23
| 1-10/9-5/3
| 1-10/9-5/3
| utonal
| utonal
|
| C/7no3
| 1-3/2-9/5
| 1/(9:6:5)
|-
|-
| 53
| 52
| 0-2-25
| 0-2-25
| 1-3/2-5/4
| 1-3/2-5/4
| otonal
| otonal
|
| C\
|
| 4:5:6
|-
|-
| 54
| 53
| 0-4-25
| 0-4-25
| 1-9/8-5/4
| 1-9/8-5/4
| otonal
| otonal
|
| C\,9no5
|
| 4:5:9
|-
|-
| 55
| 54
| 0-5-25
| 0-5-25
| 1-11/8-5/4
| 1-11/8-5/4
| otonal
| otonal
|
| C\(\b5)
|
| 8:10:11
|-
|-
| 56
| 55
| 0-12-25
| 0-12-25
| 1-10/7-5/4
| 1-10/7-5/4
| utonal
| utonal
|
| C\(\~5)
|
| 1/(10:8:7)
|-
|-
| 57
| 56
| 0-13-25
| 0-13-25
| 1-7/4-5/4
| 1-7/4-5/4
| otonal
| otonal
|
| C\7no5
|
| 4:5:6
|-
|-
| 58
| 57
| 0-20-25
| 0-20-25
| 1-20/11-5/4
| 1-20/11-5/4
| utonal
| utonal
|
| C\,\~7no5
|
| 1/(20:16:11)
|-
|-
| 59
| 58
| 0-21-25
| 0-21-25
| 1-10/9-5/4
| 1-10/9-5/4
| utonal
| utonal
|
| C/9no35
| 1-9/5-9/4
| 1/(9:5:4)
|-
|-
| 60
| 59
| 0-23-25
| 0-23-25
| 1-5/3-5/4
| 1-5/3-5/4
| utonal
| utonal
|
| C/m
| 1-6/5-3/2
| 1/(6:5:4)
|}
|}


Line 435: Line 591:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 444: Line 602:
| 1-11/9-3/2-11/6
| 1-11/9-3/2-11/6
| rastmic
| rastmic
|~7
| C~7
|
|
|-
|-
| 2
| 2
Line 450: Line 610:
| 1-11/9-3/2-9/8
| 1-11/9-3/2-9/8
| rastmic
| rastmic
|~,9
| C~,9
|
|
|-
|-
| 3
| 3
Line 456: Line 618:
| 1-11/9-11/6-9/8
| 1-11/9-11/6-9/8
| rastmic
| rastmic
|~9no5
| C~9no5
|
|
|-
|-
| 4
| 4
Line 462: Line 626:
| 1-3/2-11/6-9/8
| 1-3/2-11/6-9/8
| rastmic
| rastmic
|~9no3
| C~9no3
|
|
|-
|-
| 5
| 5
Line 468: Line 634:
| 1-11/9-3/2-11/8
| 1-11/9-3/2-11/8
| rastmic
| rastmic
|~6,9
| C~,~11
|
|
|-
|-
| 6
| 6
Line 474: Line 642:
| 1-11/9-11/6-11/8
| 1-11/9-11/6-11/8
| utonal
| utonal
|
| C2~6 ''or''<br>C4~9
| 1-9/8-3/2-18/11<br>1-4/3-3/2-24/11
| 1/(18:16:12:11)<br>1/(24:18:16:11)
|-
|-
| 7
| 7
Line 480: Line 650:
| 1-3/2-11/6-11/8
| 1-3/2-11/6-11/8
| ambitonal
| ambitonal
|
| C~4~7
|
|  
|-
|-
| 8
| 8
Line 486: Line 658:
| 1-11/9-9/8-11/8
| 1-11/9-9/8-11/8
| rastmic
| rastmic
|
|
|
|  
|-
|-
| 9
| 9
Line 492: Line 666:
| 1-3/2-9/8-11/8
| 1-3/2-9/8-11/8
| otonal
| otonal
|
| C4~7
| 1-4/3-3/2-11/6
| 6:8:9:11
|-
|-
| 10
| 10
Line 498: Line 674:
| 1-11/6-9/8-11/8
| 1-11/6-9/8-11/8
| rastmic
| rastmic
|~11no35
| C~11no35
|
|
|-
|-
|11
| 11
|0-4-5-6
|1-11/9-3/2-16/9
|
|~,7
|-
| 12
| 0-3-4-8
| 0-3-4-8
| 1-11/6-9/8-14/11
| 1-11/6-9/8-14/11
| parahemif
| parahemif
|9(~7)no5
| C9(~7)no5
|
|
|-
|-
| 13
| 12
| 0-3-5-8
| 0-3-5-8
| 1-11/6-11/8-14/11
| 1-11/6-11/8-14/11
| hemimin
| hemimin
|,~7~11no5
| C~2~11
| 1-12/11-11/8-3/2
|
|-
|-
| 14
| 13
| 0-4-5-8
| 0-4-5-8
| 1-9/8-11/8-14/11
| 1-9/8-11/8-14/11
| parahemif
| parahemif
|
| C~,~9
| 1-11/9-3/2-13/12
|  
|-
|-
| 15
| 14
| 0-1-4-9
| 0-1-4-9
| 1-11/9-9/8-14/9
| 1-11/9-9/8-14/9
| parahemif
| parahemif
|
| C~,9(^5)
|
|  
|-
|-
| 16
| 15
| 0-1-5-9
| 0-1-5-9
| 1-11/9-11/8-14/9
| 1-11/9-11/8-14/9
| pentacircle
| pentacircle
|,~6,9no5
| C,~6,9no5
| 1-14/11-18/11-9/4
|
|-
|-
| 17
| 16
| 0-4-5-9
| 0-4-5-9
| 1-9/8-11/8-14/9
| 1-9/8-11/8-14/9
| pentacircle
| pentacircle
|
| C~,7(\b5)
| 1-11/9-11/8-16/9
|  
|-
|-
| 18
| 17
| 0-4-8-9
| 0-4-8-9
| 1-9/8-14/11-14/9
| 1-9/8-14/11-14/9
| pentacircle
| pentacircle
|
|
|
|  
|-
|-
| 19
| 18
| 0-5-8-9
| 0-5-8-9
| 1-11/8-14/11-14/9
| 1-11/8-14/11-14/9
| parahemif
| parahemif
|
|
|
|  
|-
|-
| 20
| 19
| 0-2-3-11
| 0-2-3-11
| 1-3/2-11/6-7/6
| 1-3/2-11/6-7/6
| otonal
| otonal
|
| C\m~7
|
| 6:7:9:11
|-
|-
| 21
| 20
| 0-3-8-11
| 0-3-8-11
| 1-11/6-14/11-7/6
| 1-11/6-14/11-7/6
| hemimin
| hemimin
|
|
|
|  
|-
|-
| 22
| 21
| 0-8-9-11
| 0-8-9-11
| 1-14/11-14/9-7/6
| 1-14/11-14/9-7/6
| utonal
| utonal
|
| C/,~6
| 1-9/7-3/2-18/11
| 1/(18:14:12:11)
|-
|-
| 23
| 22
| 0-1-3-12
| 0-1-3-12
| 1-11/9-11/6-10/7
| 1-11/9-11/6-10/7
| swetismic
| swetismic
|
| C\m~6
| 1-7/6-3/2-13/8
|  
|-
|-
| 24
| 23
| 0-1-4-12
| 0-1-4-12
| 1-11/9-9/8-10/7
| 1-11/9-9/8-10/7
| jove
| jove
|
|
|
|  
|-
|-
| 25
| 24
| 0-3-4-12
| 0-3-4-12
| 1-11/6-9/8-10/7
| 1-11/6-9/8-10/7
| jove
| jove
|
|
|
|  
|-
|-
| 26
| 25
| 0-3-8-12
| 0-3-8-12
| 1-11/6-14/11-10/7
| 1-11/6-14/11-10/7
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 27
| 26
| 0-4-8-12
| 0-4-8-12
| 1-9/8-14/11-10/7
| 1-9/8-14/11-10/7
| pele
| pele
|
| C9no5
| 1-9/8-14/11-16/9
|  
|-
|-
| 28
| 27
| 0-1-9-12
| 0-1-9-12
| 1-11/9-14/9-10/7
| 1-11/9-14/9-10/7
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 29
| 28
| 0-4-9-12
| 0-4-9-12
| 1-9/8-14/9-10/7
| 1-9/8-14/9-10/7
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 30
| 29
| 0-8-9-12
| 0-8-9-12
| 1-14/11-14/9-10/7
| 1-14/11-14/9-10/7
| jove
| jove
|
|
|
|  
|-
|-
| 31
| 30
| 0-3-11-12
| 0-3-11-12
| 1-11/6-7/6-10/7
| 1-11/6-7/6-10/7
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 32
| 31
| 0-8-11-12
| 0-8-11-12
| 1-14/11-7/6-10/7
| 1-14/11-7/6-10/7
| jove
| jove
|
|
|
|  
|-
|-
| 33
| 32
| 0-9-11-12
| 0-9-11-12
| 1-14/9-7/6-10/7
| 1-14/9-7/6-10/7
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 34
| 33
| 0-1-2-13
| 0-1-2-13
| 1-11/9-3/2-7/4
| 1-11/9-3/2-7/4
| jove
| jove
|
| C~,\7
|
|  
|-
|-
| 35
| 34
| 0-1-4-13
| 0-1-4-13
| 1-11/9-9/8-7/4
| 1-11/9-9/8-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 36
| 35
| 0-2-4-13
| 0-2-4-13
| 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| otonal
| otonal
|
| C\9no3
|
| 4:6:7:9
|-
|-
| 37
| 36
| 0-1-5-13
| 0-1-5-13
| 1-11/9-11/8-7/4
| 1-11/9-11/8-7/4
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 38
| 37
| 0-2-5-13
| 0-2-5-13
| 1-3/2-11/8-7/4
| 1-3/2-11/8-7/4
| otonal
| otonal
|
| C~4,\7
|
| 8:11:12:14
|-
|-
| 39
| 38
| 0-4-5-13
| 0-4-5-13
| 1-9/8-11/8-7/4
| 1-9/8-11/8-7/4
| otonal
| otonal
|
| C~4\7,9 ''or'' C~,7(^5)
| 1-11/9-14/9-16/9
| 9:11:14:16
|-
|-
| 40
| 39
| 0-4-8-13
| 0-4-8-13
| 1-9/8-14/11-7/4
| 1-9/8-14/11-7/4
| pentacircle
| pentacircle
|
|
|
|  
|-
|-
| 41
| 40
| 0-5-8-13
| 0-5-8-13
| 1-11/8-14/11-7/4
| 1-11/8-14/11-7/4
| hemimin
| hemimin
|
|
|
|  
|-
|-
| 42
| 41
| 0-1-9-13
| 0-1-9-13
| 1-11/9-14/9-7/4
| 1-11/9-14/9-7/4
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 43
| 42
| 0-4-9-13
| 0-4-9-13
| 1-9/8-14/9-7/4
| 1-9/8-14/9-7/4
| pentacircle
| pentacircle
|
|
|
|  
|-
|-
| 44
| 43
| 0-5-9-13
| 0-5-9-13
| 1-11/8-14/9-7/4
| 1-11/8-14/9-7/4
| pentacircle
| pentacircle
|
|
|
|  
|-
|-
| 45
| 44
| 0-8-9-13
| 0-8-9-13
| 1-14/11-14/9-7/4
| 1-14/11-14/9-7/4
| utonal
| utonal
|
|  
|
| 1/(14:11:9:8)
|-
|-
| 46
| 45
| 0-2-11-13
| 0-2-11-13
| 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| ambitonal
| ambitonal
|
| C\m7
|
|  
|-
|-
| 47
| 46
| 0-8-11-13
| 0-8-11-13
| 1-14/11-7/6-7/4
| 1-14/11-7/6-7/4
| utonal
| utonal
|
|  
|
| 1/(14:12:11:8)
|-
|-
| 48
| 47
| 0-9-11-13
| 0-9-11-13
| 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| utonal
| utonal
|
| C/,9
| 1-9/7-3/2-9/4
| 1/(9:7:6:4)
|-
|-
| 49
| 48
| 0-1-12-13
| 0-1-12-13
| 1-11/9-10/7-7/4
| 1-11/9-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 50
| 49
| 0-4-12-13
| 0-4-12-13
| 1-9/8-10/7-7/4
| 1-9/8-10/7-7/4
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 51
| 50
| 0-8-12-13
| 0-8-12-13
| 1-14/11-10/7-7/4
| 1-14/11-10/7-7/4
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 52
| 51
| 0-9-12-13
| 0-9-12-13
| 1-14/9-10/7-7/4
| 1-14/9-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 53
| 52
| 0-11-12-13
| 0-11-12-13
| 1-7/6-10/7-7/4
| 1-7/6-10/7-7/4
| jove
| jove
|
| C~,/6
| 1-11/9-3/2-12/7
|  
|-
|-
| 54
| 53
| 0-8-9-20
| 0-8-9-20
| 1-14/11-14/9-20/11
| 1-14/11-14/9-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 55
| 54
| 0-8-11-20
| 0-8-11-20
| 1-14/11-7/6-20/11
| 1-14/11-7/6-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 56
| 55
| 0-9-11-20
| 0-9-11-20
| 1-14/9-7/6-20/11
| 1-14/9-7/6-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 57
| 56
| 0-8-12-20
| 0-8-12-20
| 1-14/11-10/7-20/11
| 1-14/11-10/7-20/11
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 58
| 57
| 0-9-12-20
| 0-9-12-20
| 1-14/9-10/7-20/11
| 1-14/9-10/7-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 59
| 58
| 0-11-12-20
| 0-11-12-20
| 1-7/6-10/7-20/11
| 1-7/6-10/7-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 60
| 59
| 0-1-9-21
| 0-1-9-21
| 1-11/9-14/9-10/9
| 1-11/9-14/9-10/9
| otonal
| otonal
|
|  
|
| 9:10:11:14
|-
|-
| 61
| 60
| 0-8-9-21
| 0-8-9-21
| 1-14/11-14/9-10/9
| 1-14/11-14/9-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 62
| 61
| 0-1-12-21
| 0-1-12-21
| 1-11/9-10/7-10/9
| 1-11/9-10/7-10/9
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 63
| 62
| 0-8-12-21
| 0-8-12-21
| 1-14/11-10/7-10/9
| 1-14/11-10/7-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 64
| 63
| 0-9-12-21
| 0-9-12-21
| 1-14/9-10/7-10/9
| 1-14/9-10/7-10/9
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 65
| 64
| 0-1-13-21
| 0-1-13-21
| 1-11/9-7/4-10/9
| 1-11/9-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 66
| 65
| 0-8-13-21
| 0-8-13-21
| 1-14/11-7/4-10/9
| 1-14/11-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 67
| 66
| 0-9-13-21
| 0-9-13-21
| 1-14/9-7/4-10/9
| 1-14/9-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 68
| 67
| 0-12-13-21
| 0-12-13-21
| 1-10/7-7/4-10/9
| 1-10/7-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 69
| 68
| 0-8-20-21
| 0-8-20-21
| 1-14/11-20/11-10/9
| 1-14/11-20/11-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 70
| 69
| 0-9-20-21
| 0-9-20-21
| 1-14/9-20/11-10/9
| 1-14/9-20/11-10/9
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 71
| 70
| 0-12-20-21
| 0-12-20-21
| 1-10/7-20/11-10/9
| 1-10/7-20/11-10/9
| utonal
| utonal
|
|  
|
| 1/(20:18:14:11)
|-
|-
| 72
| 71
| 0-2-3-23
| 0-2-3-23
| 1-3/2-11/6-5/3
| 1-3/2-11/6-5/3
| otonal
| otonal
|
|  
|
| 6:9:10:11
|-
|-
| 73
| 72
| 0-2-11-23
| 0-2-11-23
| 1-3/2-7/6-5/3
| 1-3/2-7/6-5/3
| otonal
| otonal
|
| C\m6
|
| 6:7:9:10
|-
|-
| 74
| 73
| 0-3-11-23
| 0-3-11-23
| 1-11/6-7/6-5/3
| 1-11/6-7/6-5/3
| otonal
| otonal
|
| C\m6~7no5
|
| 6:7:10:11
|-
|-
| 75
| 74
| 0-3-12-23
| 0-3-12-23
| 1-11/6-10/7-5/3
| 1-11/6-10/7-5/3
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 76
| 75
| 0-11-12-23
| 0-11-12-23
| 1-7/6-10/7-5/3
| 1-7/6-10/7-5/3
| swetismic
| swetismic
|
| C\m6(\~5)
|
|  
|-
|-
| 77
| 76
| 0-11-20-23
| 0-11-20-23
| 1-7/6-20/11-5/3
| 1-7/6-20/11-5/3
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 78
| 77
| 0-12-20-23
| 0-12-20-23
| 1-10/7-20/11-5/3
| 1-10/7-20/11-5/3
| utonal
| utonal
|
|  
|
| 1/(20:14:12:11)
|-
|-
| 79
| 78
| 0-12-21-23
| 0-12-21-23
| 1-10/7-10/9-5/3
| 1-10/7-10/9-5/3
| utonal
| utonal
|
| C/7
| 1-9/7-3/2-9/5
| 1/(9:7:6:5)
|-
|-
| 80
| 79
| 0-20-21-23
| 0-20-21-23
| 1-20/11-10/9-5/3
| 1-20/11-10/9-5/3
| utonal
| utonal
|
| C/7~13no3
| 1-3/2-18/11-9/5
| 1/(18:12:11:10)
|-
|-
| 81
| 80
| 0-2-4-25
| 0-2-4-25
| 1-3/2-9/8-5/4
| 1-3/2-9/8-5/4
| otonal
| otonal
|
| C\,9
|
| 4:5:6:9
|-
|-
| 82
| 81
| 0-2-5-25
| 0-2-5-25
| 1-3/2-11/8-5/4
| 1-3/2-11/8-5/4
| otonal
| otonal
|
| C\,~11
|
| 8:10:11:12
|-
|-
| 83
| 82
| 0-4-5-25
| 0-4-5-25
| 1-9/8-11/8-5/4
| 1-9/8-11/8-5/4
| otonal
| otonal
|
| C\,9(\b5)
|
| 8:9:10:11
|-
|-
| 84
| 83
| 0-4-12-25
| 0-4-12-25
| 1-9/8-10/7-5/4
| 1-9/8-10/7-5/4
| werckismic
| werckismic
|
| C,9(\~5)
|
|  
|-
|-
| 85
| 84
| 0-2-13-25
| 0-2-13-25
| 1-3/2-7/4-5/4
| 1-3/2-7/4-5/4
| otonal
| otonal
|
| C\7
|
| 4:5:6:7
|-
|-
| 86
| 85
| 0-4-13-25
| 0-4-13-25
| 1-9/8-7/4-5/4
| 1-9/8-7/4-5/4
| otonal
| otonal
|
| C\9no5
|
| 4:5:7:9
|-
|-
| 87
| 86
| 0-5-13-25
| 0-5-13-25
| 1-11/8-7/4-5/4
| 1-11/8-7/4-5/4
| otonal
| otonal
|
| C\7~11no5
|
| 4:5:7:11
|-
|-
| 88
| 87
| 0-12-13-25
| 0-12-13-25
| 1-10/7-7/4-5/4
| 1-10/7-7/4-5/4
| werckismic
| werckismic
|
| C\7(\~5)
|
|  
|-
|-
| 89
| 88
| 0-12-20-25
| 0-12-20-25
| 1-10/7-20/11-5/4
| 1-10/7-20/11-5/4
| utonal
| utonal
|
| C,\7(b5)
| 1-14/11-7/5-7/4
| 1/(20:16:14:11)
|-
|-
| 90
| 89
| 0-12-21-25
| 0-12-21-25
| 1-10/7-10/9-5/4
| 1-10/7-10/9-5/4
| utonal
| utonal
|
| C/9no5
| 1-9/7-9/5-9/4
| 1/(10:9:8:7)
|-
|-
| 91
| 90
| 0-13-21-25
| 0-13-21-25
| 1-7/4-10/9-5/4
| 1-7/4-10/9-5/4
| werckismic
| werckismic
|
| C\7\9no5
|
|  
|-
|-
| 92
| 91
| 0-20-21-25
| 0-20-21-25
| 1-20/11-10/9-5/4
| 1-20/11-10/9-5/4
| utonal
| utonal
|
| C2~6^7no5
| 1-18/11-9/5-9/4
| 1/(20:18:16:11)
|-
|-
| 93
| 92
| 0-2-23-25
| 0-2-23-25
| 1-3/2-5/3-5/4
| 1-3/2-5/3-5/4
| ambitonal
| ambitonal
|
| C\6 <u>or</u> C/m7
| 1-6/5-3/2-9/5
|  
|-
|-
| 94
| 93
| 0-12-23-25
| 0-12-23-25
| 1-10/7-5/3-5/4
| 1-10/7-5/3-5/4
| utonal
| utonal
|
| C/m6<br>C\m7(b5)
| 1-6/5-3/2-12/7<br>1-7/6-7/5-7/4
| 1/(12:10:8:7)<br>1/(7:6:5:4)
|-
|-
| 95
| 94
| 0-20-23-25
| 0-20-23-25
| 1-20/11-5/3-5/4
| 1-20/11-5/3-5/4
| utonal
| utonal
|
| C/m,~9
| 1-6/5-3/2-24/11
| 1/(24:20:18:11)
|-
|-
| 96
| 95
| 0-21-23-25
| 0-21-23-25
| 1-10/9-5/3-5/4
| 1-10/9-5/3-5/4
| utonal
| utonal
|
| C/9no3
| 1-3/2-9/5-9/4
| 1/(9:6:5:4)
|}
|}


Line 1,021: Line 1,363:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 1,030: Line 1,374:
| 1-11/9-3/2-11/6-9/8
| 1-11/9-3/2-11/6-9/8
| rastmic
| rastmic
|~9
| C~9
|
|
|-
|-
| 2
| 2
Line 1,036: Line 1,382:
| 1-11/9-3/2-11/6-11/8
| 1-11/9-3/2-11/6-11/8
| rastmic
| rastmic
|~7,~11
| C~11no9
|
|
|-
|-
| 3
| 3
Line 1,042: Line 1,390:
| 1-11/9-3/2-9/8-11/8
| 1-11/9-3/2-9/8-11/8
| rastmic
| rastmic
|~,9~11 <u>or</u> ~11no7
| C~11no7
|
|
|-
|-
| 4
| 4
Line 1,048: Line 1,398:
| 1-11/9-11/6-9/8-11/8
| 1-11/9-11/6-9/8-11/8
| rastmic
| rastmic
|~11no5
| C~11no5
|
|
|-
|-
| 5
| 5
Line 1,054: Line 1,406:
| 1-3/2-11/6-9/8-11/8
| 1-3/2-11/6-9/8-11/8
| rastmic
| rastmic
|~11no3
| C~11no3
|
|
|-
|-
| 6
| 6
Line 1,060: Line 1,414:
| 1-11/6-9/8-11/8-14/11
| 1-11/6-9/8-11/8-14/11
| parahemif
| parahemif
|
|
|
|  
|-
|-
| 7
| 7
Line 1,066: Line 1,422:
| 1-11/9-9/8-11/8-14/9
| 1-11/9-9/8-11/8-14/9
| parahemif
| parahemif
|
|
|
|  
|-
|-
| 8
| 8
Line 1,072: Line 1,430:
| 1-9/8-11/8-14/11-14/9
| 1-9/8-11/8-14/11-14/9
| parahemif
| parahemif
|
|
|
|  
|-
|-
| 9
| 9
Line 1,078: Line 1,438:
| 1-11/9-11/6-9/8-10/7
| 1-11/9-11/6-9/8-10/7
| jove
| jove
|
|
|
|  
|-
|-
| 10
| 10
Line 1,084: Line 1,446:
| 1-11/6-9/8-14/11-10/7
| 1-11/6-9/8-14/11-10/7
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 11
| 11
Line 1,090: Line 1,454:
| 1-11/9-9/8-14/9-10/7
| 1-11/9-9/8-14/9-10/7
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 12
| 12
Line 1,096: Line 1,462:
| 1-9/8-14/11-14/9-10/7
| 1-9/8-14/11-14/9-10/7
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 13
| 13
Line 1,102: Line 1,470:
| 1-11/6-14/11-7/6-10/7
| 1-11/6-14/11-7/6-10/7
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 14
| 14
Line 1,108: Line 1,478:
| 1-14/11-14/9-7/6-10/7
| 1-14/11-14/9-7/6-10/7
| jove
| jove
|
|
|
|  
|-
|-
| 15
| 15
Line 1,114: Line 1,486:
| 1-11/9-3/2-9/8-7/4
| 1-11/9-3/2-9/8-7/4
| jove
| jove
|
| C~9(\m7)
|
|  
|-
|-
| 16
| 16
Line 1,120: Line 1,494:
| 1-11/9-3/2-11/8-7/4
| 1-11/9-3/2-11/8-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 17
| 17
Line 1,126: Line 1,502:
| 1-11/9-9/8-11/8-7/4
| 1-11/9-9/8-11/8-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 18
| 18
Line 1,132: Line 1,510:
| 1-3/2-9/8-11/8-7/4
| 1-3/2-9/8-11/8-7/4
| otonal
| otonal
|
| C\9~11no3
|
| 4:6:7:9:11
|-
|-
| 19
| 19
Line 1,138: Line 1,518:
| 1-9/8-11/8-14/11-7/4
| 1-9/8-11/8-14/11-7/4
| parahemif
| parahemif
|
|
|
|  
|-
|-
| 20
| 20
Line 1,144: Line 1,526:
| 1-11/9-9/8-14/9-7/4
| 1-11/9-9/8-14/9-7/4
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 21
| 21
Line 1,150: Line 1,534:
| 1-11/9-11/8-14/9-7/4
| 1-11/9-11/8-14/9-7/4
| pele
| pele
|
|
|
|  
|-
|-
| 22
| 22
Line 1,156: Line 1,542:
| 1-9/8-11/8-14/9-7/4
| 1-9/8-11/8-14/9-7/4
| pentacircle
| pentacircle
|
|
|
|  
|-
|-
| 23
| 23
Line 1,162: Line 1,550:
| 1-9/8-14/11-14/9-7/4
| 1-9/8-14/11-14/9-7/4
| pentacircle
| pentacircle
|
|
|
|  
|-
|-
| 24
| 24
Line 1,168: Line 1,558:
| 1-11/8-14/11-14/9-7/4
| 1-11/8-14/11-14/9-7/4
| parahemif
| parahemif
|
|
|
|  
|-
|-
| 25
| 25
Line 1,174: Line 1,566:
| 1-14/11-14/9-7/6-7/4
| 1-14/11-14/9-7/6-7/4
| utonal
| utonal
|
| C/,~6,9
| 1-9/7-3/2-18/11-9/4
| 1/(18:14:12:11:8)
|-
|-
| 26
| 26
Line 1,180: Line 1,574:
| 1-11/9-9/8-10/7-7/4
| 1-11/9-9/8-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 27
| 27
Line 1,186: Line 1,582:
| 1-9/8-14/11-10/7-7/4
| 1-9/8-14/11-10/7-7/4
| pele
| pele
|
|
|
|  
|-
|-
| 28
| 28
Line 1,192: Line 1,590:
| 1-11/9-14/9-10/7-7/4
| 1-11/9-14/9-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 29
| 29
Line 1,198: Line 1,598:
| 1-9/8-14/9-10/7-7/4
| 1-9/8-14/9-10/7-7/4
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 30
| 30
Line 1,204: Line 1,606:
| 1-14/11-14/9-10/7-7/4
| 1-14/11-14/9-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 31
| 31
Line 1,210: Line 1,614:
| 1-14/11-7/6-10/7-7/4
| 1-14/11-7/6-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 32
| 32
Line 1,216: Line 1,622:
| 1-14/9-7/6-10/7-7/4
| 1-14/9-7/6-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 33
| 33
Line 1,222: Line 1,630:
| 1-14/11-14/9-7/6-20/11
| 1-14/11-14/9-7/6-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 34
| 34
Line 1,228: Line 1,638:
| 1-14/11-14/9-10/7-20/11
| 1-14/11-14/9-10/7-20/11
| jove
| jove
|
|
|
|  
|-
|-
| 35
| 35
Line 1,234: Line 1,646:
| 1-14/11-7/6-10/7-20/11
| 1-14/11-7/6-10/7-20/11
| jove
| jove
|
|
|
|  
|-
|-
| 36
| 36
Line 1,240: Line 1,654:
| 1-14/9-7/6-10/7-20/11
| 1-14/9-7/6-10/7-20/11
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 37
| 37
Line 1,246: Line 1,662:
| 1-11/9-14/9-10/7-10/9
| 1-11/9-14/9-10/7-10/9
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 38
| 38
Line 1,252: Line 1,670:
| 1-14/11-14/9-10/7-10/9
| 1-14/11-14/9-10/7-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 39
| 39
Line 1,258: Line 1,678:
| 1-11/9-14/9-7/4-10/9
| 1-11/9-14/9-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 40
| 40
Line 1,264: Line 1,686:
| 1-14/11-14/9-7/4-10/9
| 1-14/11-14/9-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 41
| 41
Line 1,270: Line 1,694:
| 1-11/9-10/7-7/4-10/9
| 1-11/9-10/7-7/4-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 42
| 42
Line 1,276: Line 1,702:
| 1-14/11-10/7-7/4-10/9
| 1-14/11-10/7-7/4-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 43
| 43
Line 1,282: Line 1,710:
| 1-14/9-10/7-7/4-10/9
| 1-14/9-10/7-7/4-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 44
| 44
Line 1,288: Line 1,718:
| 1-14/11-14/9-20/11-10/9
| 1-14/11-14/9-20/11-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 45
| 45
Line 1,294: Line 1,726:
| 1-14/11-10/7-20/11-10/9
| 1-14/11-10/7-20/11-10/9
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 46
| 46
Line 1,300: Line 1,734:
| 1-14/9-10/7-20/11-10/9
| 1-14/9-10/7-20/11-10/9
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 47
| 47
Line 1,306: Line 1,742:
| 1-3/2-11/6-7/6-5/3
| 1-3/2-11/6-7/6-5/3
| otonal
| otonal
|
| C\m6~7
|
| 6:7:9:10:11
|-
|-
| 48
| 48
Line 1,312: Line 1,750:
| 1-11/6-7/6-10/7-5/3
| 1-11/6-7/6-10/7-5/3
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 49
| 49
Line 1,318: Line 1,758:
| 1-7/6-10/7-20/11-5/3
| 1-7/6-10/7-20/11-5/3
| swetismic
| swetismic
|
|
|
|  
|-
|-
| 50
| 50
Line 1,324: Line 1,766:
| 1-10/7-20/11-10/9-5/3
| 1-10/7-20/11-10/9-5/3
| utonal
| utonal
|
| C/7~6
| 1-9/7-3/2-18/11-9/5
| 1/(18:14:12:11:10)
|-
|-
| 51
| 51
Line 1,330: Line 1,774:
| 1-3/2-9/8-11/8-5/4
| 1-3/2-9/8-11/8-5/4
| otonal
| otonal
|
| C\,9~11
|
| 4:5:6:9:11
|-
|-
| 52
| 52
Line 1,336: Line 1,782:
| 1-3/2-9/8-7/4-5/4
| 1-3/2-9/8-7/4-5/4
| otonal
| otonal
|
| C\9
|
| 4:5:6:7:9
|-
|-
| 53
| 53
Line 1,342: Line 1,790:
| 1-3/2-11/8-7/4-5/4
| 1-3/2-11/8-7/4-5/4
| otonal
| otonal
|
| C\7~11
|
| 4:5:6:7:11
|-
|-
| 54
| 54
Line 1,348: Line 1,798:
| 1-9/8-11/8-7/4-5/4
| 1-9/8-11/8-7/4-5/4
| otonal
| otonal
|
| C\9~11no5
|
| 4:5:7:9:11
|-
|-
| 55
| 55
Line 1,354: Line 1,806:
| 1-9/8-10/7-7/4-5/4
| 1-9/8-10/7-7/4-5/4
| werckismic
| werckismic
|
| C\9(\~5)
|
|  
|-
|-
| 56
| 56
Line 1,360: Line 1,814:
| 1-10/7-7/4-10/9-5/4
| 1-10/7-7/4-10/9-5/4
| werckismic
| werckismic
|
|
|
|  
|-
|-
| 57
| 57
Line 1,366: Line 1,822:
| 1-10/7-20/11-10/9-5/4
| 1-10/7-20/11-10/9-5/4
| utonal
| utonal
|
| C/9~6no5
| 1-9/7-18/11-9/5-9/4
| 1/(18:14:11:10:8)
|-
|-
| 58
| 58
Line 1,372: Line 1,830:
| 1-10/7-20/11-5/3-5/4
| 1-10/7-20/11-5/3-5/4
| utonal
| utonal
|
| C/m6~9
| 1-6/5-3/2-12/7-24/11
| 1/(24:20:16:14:11)
|-
|-
| 59
| 59
Line 1,378: Line 1,838:
| 1-10/7-10/9-5/3-5/4
| 1-10/7-10/9-5/3-5/4
| utonal
| utonal
|
| C/9
| 1-9/7-3/2-9/5-9/4
| 1/(9:7:6:5:4)
|-
|-
| 60
| 60
Line 1,384: Line 1,846:
| 1-20/11-10/9-5/3-5/4
| 1-20/11-10/9-5/3-5/4
| utonal
| utonal
|
| C/9~6no3
| 1-3/2-18/11-9/5-9/4
| 1/(18:12:11:10:8)
|}
|}


Line 1,391: Line 1,855:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 1,400: Line 1,866:
| 1-11/9-3/2-11/6-9/8-11/8
| 1-11/9-3/2-11/6-9/8-11/8
| rastmic
| rastmic
|~11
| C~11
|
|
|-
|-
| 2
| 2
Line 1,406: Line 1,874:
| 1-11/9-3/2-9/8-11/8-7/4
| 1-11/9-3/2-9/8-11/8-7/4
| jove
| jove
|
| C~11(\m7)
|
|  
|-
|-
| 3
| 3
Line 1,412: Line 1,882:
| 1-11/9-9/8-11/8-14/9-7/4
| 1-11/9-9/8-11/8-14/9-7/4
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 4
| 4
| 0-4-5-8-9-13
| 0-4-5-8-9-13
| 1-9/8-11/8-14/11-14/9-7/4
| 1-9/8-11/8-14/11-14/9-7/4
| nofives
| hemififths
|
|
|
|  
|-
|-
| 5
| 5
Line 1,424: Line 1,898:
| 1-11/9-9/8-14/9-10/7-7/4
| 1-11/9-9/8-14/9-10/7-7/4
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 6
| 6
Line 1,430: Line 1,906:
| 1-9/8-14/11-14/9-10/7-7/4
| 1-9/8-14/11-14/9-10/7-7/4
| hemififths
| hemififths
|
|
|
|  
|-
|-
| 7
| 7
Line 1,436: Line 1,914:
| 1-14/11-14/9-7/6-10/7-7/4
| 1-14/11-14/9-7/6-10/7-7/4
| jove
| jove
|
|
|
|  
|-
|-
| 8
| 8
Line 1,442: Line 1,922:
| 1-14/11-14/9-7/6-10/7-20/11
| 1-14/11-14/9-7/6-10/7-20/11
| jove
| jove
|
|
|
|  
|-
|-
| 9
| 9
Line 1,448: Line 1,930:
| 1-11/9-14/9-10/7-7/4-10/9
| 1-11/9-14/9-10/7-7/4-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 10
| 10
Line 1,454: Line 1,938:
| 1-14/11-14/9-10/7-7/4-10/9
| 1-14/11-14/9-10/7-7/4-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 11
| 11
Line 1,460: Line 1,946:
| 1-14/11-14/9-10/7-20/11-10/9
| 1-14/11-14/9-10/7-20/11-10/9
| jove
| jove
|
|
|
|  
|-
|-
| 12
| 12
Line 1,466: Line 1,954:
| 1-3/2-9/8-11/8-7/4-5/4
| 1-3/2-9/8-11/8-7/4-5/4
| otonal
| otonal
|
| C\9~11
|
| 4:5:6:7:9:11
|-
|-
| 13
| 13
Line 1,472: Line 1,962:
| 1-10/7-20/11-10/9-5/3-5/4
| 1-10/7-20/11-10/9-5/3-5/4
| utonal
| utonal
|
| C/9~6
| 1-9/7-3/2-18/11-9/5-9/4
| 1/(18:14:12:11:10:8)
|}
|}


Retrieved from "https://en.xen.wiki/w/Hemififths/Chords"