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Hemififths/Chords: Difference between revisions

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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, 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 2nd. Enharmonic equivalences: vvA1 and v\m2. Cents: ^1 = 50¢ + 3.5c and /1 = 50¢ - 8.5c, where c = 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.
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
!...
! …
!20
! 20
!21
! 21
!...
! …
!23
! 23
!...
! …
!25
! 25
|-
|-
!Cents (41edo)
! Cents (41edo)
|0
| 0
|351
| 351
|702
| 702
|1054
| 1054
|205
| 205
|556
| 556
|907
| 907
|59
| 59
|410
| 410
|761
| 761
|1112
| 1112
|263
| 263
|615
| 615
|966
| 966
!
| …
|1024
| 1024
|176
| 176
!
| …
|878
| 878
!
| …
|380
| 380
|-
|-
!Ratio
! Ratio
|1/1
| 1/1
|11/9
| 11/9<br>16/13
16/13
| 3/2
|3/2
| 11/6<br>24/13
|11/6
| 9/8
24/13
| 11/8<br>18/13
|9/8
| 27/16<br>22/13
|11/8
| 28/27<br>33/32
18/13
| 14/11
|27/16
| 14/9
22/13
| 40/21<br>21/11
|28/27
| 7/6
33/32
| 10/7
|14/11
| 7/4
|14/9
| …
|40/21
| 20/11
21/11
| 10/9
|7/6
| …
|10/7
| 5/3
|7/4
| …
!
| 5/4
|20/11
|10/9
!
|5/3
!
|5/4
|-
|-
!Interval
! Interval
|P1
| P1
|~3
| ~3
|P5
| P5
|~7
| ~7
|M2
| M2
|~4
| ~4<br>\b5
\b5
| M6
|M6
| ^1<br>\m2
|^1
| M3
\m2
| ^5<br>\m6
|M3
| M7
|^5
| ^M2<br>\m3
\m6
| A4<br>\~5
|M7
| ^M6<br>\m7
|^M2
| …
\m3
| A6<br>\~7
|A4
| ^A1<br>\M2
\~5
| …
|^M6
| ^A5<br>\M6
\m7
| …
!
| ^A2<br>\M3
|A6
 
\~7
|^A1
 
\M2
!
|^A5
 
\M6
!
|^A2
 
\M3
|}
|}
'''''TODO: Complete the tables'''''
{{Todo|complete table|inline=1}}


== Triads ==
== Triads ==
Line 124: Line 107:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
!Inversion
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 134: Line 118:
| 1-11/9-3/2
| 1-11/9-3/2
| rastmic
| rastmic
|C~
| C~
|
|
|  
|-
|-
| 2
| 2
Line 141: Line 126:
| 1-11/9-11/6
| 1-11/9-11/6
| utonal
| utonal
|C~7no5
| C~7no5
|
|  
| 1/(11:9:6)
|-
|-
| 3
| 3
Line 148: Line 134:
| 1-3/2-11/6
| 1-3/2-11/6
| otonal
| otonal
|C~7no3
| C~7no3
|
|  
| 6:9:11
|-
|-
| 4
| 4
Line 155: Line 142:
| 1-11/9-9/8
| 1-11/9-9/8
| rastmic
| rastmic
|C~,9no5
| C~,9no5
|
|
|  
|-
|-
| 5
| 5
Line 162: Line 150:
| 1-3/2-9/8
| 1-3/2-9/8
| ambitonal
| ambitonal
|C2 <u>or</u> C4
| C2 ''or'' C4
|1-4/3-9/8
| 1-4/3-3/2
|
|-
|-
| 6
| 6
Line 169: Line 158:
| 1-11/6-9/8
| 1-11/6-9/8
| rastmic
| rastmic
|C~9no35
| C~9no35
|
|
|  
|-
|-
| 7
| 7
Line 176: Line 166:
| 1-11/9-11/8
| 1-11/9-11/8
| utonal
| utonal
|C~(\b5)
| C~(\b5)
|
|  
| 1/(11:9:8)
|-
|-
| 8
| 8
Line 183: Line 174:
| 1-3/2-11/8
| 1-3/2-11/8
| otonal
| otonal
|C~7sus4no5
| C~7sus4no5
|1-4/3-11/6
| 1-4/3-11/6
| 6:8:11
|-
|-
| 9
| 9
Line 190: Line 182:
| 1-11/6-11/8
| 1-11/6-11/8
| utonal
| utonal
|C~2
| C~2
|1-12/11-3/2
| 1-12/11-3/2
| 1/(12:11:8)
|-
|-
| 10
| 10
Line 197: Line 190:
| 1-9/8-11/8
| 1-9/8-11/8
| otonal
| otonal
|C~,7no5
| C~,7no5
|1-11/9-16/9
| 1-11/9-16/9
| 9:11:16
|-
|-
| 11
| 11
Line 204: Line 198:
| 1-11/6-14/11
| 1-11/6-14/11
| hemimin
| hemimin
|C,~7no5
| C,~7no5
|
|
|  
|-
|-
| 12
| 12
Line 211: Line 206:
| 1-9/8-14/11
| 1-9/8-14/11
| pentacircle
| pentacircle
|C,9no5
| C,9no5
|
|
|  
|-
|-
| 13
| 13
Line 218: Line 214:
| 1-11/8-14/11
| 1-11/8-14/11
| hemimin
| hemimin
|C(\b5)
| C(\b5)
|
|
|  
|-
|-
| 14
| 14
Line 225: Line 222:
| 1-11/9-14/9
| 1-11/9-14/9
| otonal
| otonal
|C~(^5)
| C~(^5)
|
|  
| 9:11:14
|-
|-
| 15
| 15
Line 232: Line 230:
| 1-9/8-14/9
| 1-9/8-14/9
| pentacircle
| pentacircle
|C7~4no5
| C7~4no5
|1-11/8-16/9
| 1-11/8-16/9
|
|-
|-
| 16
| 16
Line 239: Line 238:
| 1-11/8-14/9
| 1-11/8-14/9
| pentacircle
| pentacircle
|C2(~5) <u>or</u>
| C2(~5) ''or''<br>C/,7no5
C/,7no5
| 1-9/8-13/9<br>1-9/7-16/9
|1-9/8-13/9
|
 
1-9/7-16/9
|-
|-
| 17
| 17
Line 249: Line 246:
| 1-14/11-14/9
| 1-14/11-14/9
| utonal
| utonal
|C(^5)
| C(^5)
|
|  
| 1/(14:11:9)
|-
|-
| 18
| 18
Line 256: Line 254:
| 1-3/2-7/6
| 1-3/2-7/6
| otonal
| otonal
|C\m
| C\m
|
|  
| 6:7:9
|-
|-
| 19
| 19
Line 263: Line 262:
| 1-11/6-7/6
| 1-11/6-7/6
| otonal
| otonal
|C\m~7no5
| C\m~7no5
|
|  
| 6:7:11
|-
|-
| 20
| 20
Line 270: Line 270:
| 1-14/11-7/6
| 1-14/11-7/6
| utonal
| utonal
|C~2/6
| C~2/6
|1-12/11-12/7
| 1-12/11-12/7
| 1/(12:11:7)
|-
|-
| 21
| 21
Line 277: Line 278:
| 1-14/9-7/6
| 1-14/9-7/6
| utonal
| utonal
|C/
| C/
|1-9/7-3/2
| 1-9/7-3/2
| 1/(9:7:6)
|-
|-
| 22
| 22
Line 284: Line 286:
| 1-11/9-10/7
| 1-11/9-10/7
| swetismic
| swetismic
|C~(\~5)
| C~(\~5)
|
|
|  
|-
|-
| 23
| 23
Line 291: Line 294:
| 1-11/6-10/7
| 1-11/6-10/7
| swetismic
| swetismic
|C/(b5)
| C/(b5)
|1-9/7-7/5
| 1-9/7-7/5
|
|-
|-
| 24
| 24
Line 298: Line 302:
| 1-9/8-10/7
| 1-9/8-10/7
| werckismic
| werckismic
|C2(\~5)
| C2(\~5)
|
|
|  
|-
|-
| 25
| 25
Line 305: Line 310:
| 1-14/11-10/7
| 1-14/11-10/7
| werckismic
| werckismic
|C(\~5)
| C(\~5)
|
|
|  
|-
|-
| 26
| 26
Line 312: Line 318:
| 1-14/9-10/7
| 1-14/9-10/7
| swetismic
| swetismic
|C~2(b5)
| C~2(b5)
|1-12/11-7/5
| 1-12/11-7/5
|
|-
|-
| 27
| 27
Line 319: Line 326:
| 1-7/6-10/7
| 1-7/6-10/7
| swetismic
| swetismic
|C\m(\~5)
| C\m(\~5)
|
|
|  
|-
|-
| 28
| 28
Line 326: Line 334:
| 1-11/9-7/4
| 1-11/9-7/4
| werckismic
| werckismic
|C~,\7no5
| C~,\7no5
|
|
|  
|-
|-
| 29
| 29
Line 333: Line 342:
| 1-3/2-7/4
| 1-3/2-7/4
| otonal
| otonal
|C\7no3
| C\7no3
|
|  
| 4:6:7
|-
|-
| 30
| 30
Line 340: Line 350:
| 1-9/8-7/4
| 1-9/8-7/4
| otonal
| otonal
|C\9no35
| C\9no35
|
|  
| 4:7:9
|-
|-
| 31
| 31
Line 347: Line 358:
| 1-11/8-7/4
| 1-11/8-7/4
| otonal
| otonal
|C(~5)
| C(~5)
|1-14/11-16/11
| 1-14/11-16/11
| 8:11:14
|-
|-
| 32
| 32
Line 354: Line 366:
| 1-14/11-7/4
| 1-14/11-7/4
| utonal
| utonal
|C,\7
| C,\7
|
|  
| 1/(14:11:8)
|-
|-
| 33
| 33
Line 361: Line 374:
| 1-14/9-7/4
| 1-14/9-7/4
| utonal
| utonal
|C/,2no5
| C/,2no5
|1-9/8-9/7
| 1-9/8-9/7
| 1/(9:8:7)
|-
|-
| 34
| 34
Line 368: Line 382:
| 1-7/6-7/4
| 1-7/6-7/4
| utonal
| utonal
|C\m7no5
| C\m7no5
|
|  
| 1/(7:6:4)
|-
|-
| 35
| 35
Line 375: Line 390:
| 1-10/7-7/4
| 1-10/7-7/4
| werckismic
| werckismic
|C~(b5)
| C~(b5)
|1-11/9-7/5
| 1-11/9-7/5
|
|-
|-
| 36
| 36
Line 382: Line 398:
| 1-14/11-20/11
| 1-14/11-20/11
| otonal
| otonal
|C,\~7no5
| C,\~7no5
|
|  
| 11:14:20
|-
|-
| 37
| 37
Line 389: Line 406:
| 1-14/9-20/11
| 1-14/9-20/11
| swetismic
| swetismic
|
|
|
|  
|  
|-
|-
| 38
| 38
Line 396: Line 414:
| 1-7/6-20/11
| 1-7/6-20/11
| swetismic
| swetismic
|C\m\~7no5
| C\m\~7no5
|
|
|  
|-
|-
| 39
| 39
Line 403: Line 422:
| 1-10/7-20/11
| 1-10/7-20/11
| utonal
| utonal
|C(b5)
| C(b5)
|
|  
| 1/(20:14:11)
|-
|-
| 40
| 40
Line 410: Line 430:
| 1-11/9-10/9
| 1-11/9-10/9
| otonal
| otonal
|C~,\9no5
| C~,\9no5
|
|  
| 9:10:11
|-
|-
| 41
| 41
Line 417: Line 438:
| 1-14/11-10/9
| 1-14/11-10/9
| werckismic
| werckismic
|C,\9no5
| C,\9no5
|
|
|  
|-
|-
| 42
| 42
Line 424: Line 446:
| 1-14/9-10/9
| 1-14/9-10/9
| otonal
| otonal
|C/(\~5)
| C/(\~5)
|1-9/7-10/7
| 1-9/7-10/7
| 7:9:10
|-
|-
| 43
| 43
Line 431: Line 454:
| 1-10/7-10/9
| 1-10/7-10/9
| utonal
| utonal
|C\2(\~5)
| C\2(\~5)
|
|  
| 1/(10:9:7)
|-
|-
| 44
| 44
Line 438: Line 462:
| 1-7/4-10/9
| 1-7/4-10/9
| werckismic
| werckismic
|C\2\m7no5
| C\2\m7no5
|
|
|  
|-
|-
| 45
| 45
Line 445: Line 470:
| 1-20/11-10/9
| 1-20/11-10/9
| utonal
| utonal
|
|  
|
|  
| 1/(20:18:11)
|-
|-
| 46
| 46
Line 452: Line 478:
| 1-3/2-5/3
| 1-3/2-5/3
| otonal
| otonal
|C\m7no5
| C\m7no5
|1-6/5-9/5
| 1-6/5-9/5
| 5:6:9
|-
|-
| 47
| 47
Line 459: Line 486:
| 1-11/6-5/3
| 1-11/6-5/3
| otonal
| otonal
|
|  
|
|  
| 6:10:11
|-
|-
| 48
| 48
Line 466: Line 494:
| 1-7/6-5/3
| 1-7/6-5/3
| otonal
| otonal
|C\m6no5
| C\m6no5
|
|  
| 6:7:10
|-
|-
| 49
| 49
Line 473: Line 502:
| 1-10/7-5/3
| 1-10/7-5/3
| utonal
| utonal
|C/dim
| C/dim
|1-7/6-7/5
| 1-7/6-7/5
| 1/(10:7:6)
|-
|-
| 50
| 50
Line 480: Line 510:
| 1-20/11-5/3
| 1-20/11-5/3
| utonal
| utonal
|
|  
|
|  
| 1/(20:12:11)
|-
|-
| 51
| 51
Line 487: Line 518:
| 1-10/9-5/3
| 1-10/9-5/3
| utonal
| utonal
|C/7no3
| C/7no3
|1-3/2-9/5
| 1-3/2-9/5
| 1/(9:6:5)
|-
|-
| 52
| 52
Line 494: Line 526:
| 1-3/2-5/4
| 1-3/2-5/4
| otonal
| otonal
|C\
| C\
|
|  
| 4:5:6
|-
|-
| 53
| 53
Line 501: Line 534:
| 1-9/8-5/4
| 1-9/8-5/4
| otonal
| otonal
|C\,9no5
| C\,9no5
|
|  
| 4:5:9
|-
|-
| 54
| 54
Line 508: Line 542:
| 1-11/8-5/4
| 1-11/8-5/4
| otonal
| otonal
|C\(\b5)
| C\(\b5)
|
|  
| 8:10:11
|-
|-
| 55
| 55
Line 515: Line 550:
| 1-10/7-5/4
| 1-10/7-5/4
| utonal
| utonal
|C\(\~5)
| C\(\~5)
|
|  
| 1/(10:8:7)
|-
|-
| 56
| 56
Line 522: Line 558:
| 1-7/4-5/4
| 1-7/4-5/4
| otonal
| otonal
|C\7no5
| C\7no5
|
|  
| 4:5:6
|-
|-
| 57
| 57
Line 529: Line 566:
| 1-20/11-5/4
| 1-20/11-5/4
| utonal
| utonal
|C\,\~7no5
| C\,\~7no5
|
|  
| 1/(20:16:11)
|-
|-
| 58
| 58
Line 536: Line 574:
| 1-10/9-5/4
| 1-10/9-5/4
| utonal
| utonal
|C/9no35
| C/9no35
|1-9/5-9/4
| 1-9/5-9/4
| 1/(9:5:4)
|-
|-
| 59
| 59
Line 543: Line 582:
| 1-5/3-5/4
| 1-5/3-5/4
| utonal
| utonal
|C/m
| C/m
|1-6/5-3/2
| 1-6/5-3/2
| 1/(6:5:4)
|}
|}


Line 551: Line 591:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
!Name
! Inversion
!Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 562: Line 602:
| 1-11/9-3/2-11/6
| 1-11/9-3/2-11/6
| rastmic
| rastmic
|C~7
| C~7
|~7
|  
|
|  
|-
|-
| 2
| 2
Line 570: Line 610:
| 1-11/9-3/2-9/8
| 1-11/9-3/2-9/8
| rastmic
| rastmic
|C~,9
| C~,9
|~,9
|  
|
|  
|-
|-
| 3
| 3
Line 578: Line 618:
| 1-11/9-11/6-9/8
| 1-11/9-11/6-9/8
| rastmic
| rastmic
|C~9no5
| C~9no5
|~9no5
|  
|
|  
|-
|-
| 4
| 4
Line 586: Line 626:
| 1-3/2-11/6-9/8
| 1-3/2-11/6-9/8
| rastmic
| rastmic
|C~9no3
| C~9no3
|~9no3
|  
|
|  
|-
|-
| 5
| 5
Line 594: Line 634:
| 1-11/9-3/2-11/8
| 1-11/9-3/2-11/8
| rastmic
| rastmic
|C~,~11
| C~,~11
|~,~11
|  
|
|  
|-
|-
| 6
| 6
Line 602: Line 642:
| 1-11/9-11/6-11/8
| 1-11/9-11/6-11/8
| utonal
| utonal
|C2~6 <u>or</u>
| C2~6 ''or''<br>C4~9
C4~9|2~6 <u>or</u>
| 1-9/8-3/2-18/11<br>1-4/3-3/2-24/11
4~9
| 1/(18:16:12:11)<br>1/(24:18:16:11)
|1-9/8-3/2-13/8
1-4/3-3/2-24/11
|-
|-
| 7
| 7
Line 612: Line 650:
| 1-3/2-11/6-11/8
| 1-3/2-11/6-11/8
| ambitonal
| ambitonal
|C~4~7
| C~4~7
|~4~7
|  
|
|  
|-
|-
| 8
| 8
Line 620: Line 658:
| 1-11/9-9/8-11/8
| 1-11/9-9/8-11/8
| rastmic
| rastmic
|
|  
|
|  
|
|  
|-
|-
| 9
| 9
Line 628: Line 666:
| 1-3/2-9/8-11/8
| 1-3/2-9/8-11/8
| otonal
| otonal
|C4~7
| C4~7
|4~7
| 1-4/3-3/2-11/6
|1-4/3-3/2-11/6
| 6:8:9:11
|-
|-
| 10
| 10
Line 636: Line 674:
| 1-11/6-9/8-11/8
| 1-11/6-9/8-11/8
| rastmic
| rastmic
|C~11no35
| C~11no35
|~11no35
|  
|
|  
|-
|-
| 11
| 11
Line 644: Line 682:
| 1-11/6-9/8-14/11
| 1-11/6-9/8-14/11
| parahemif
| parahemif
|C9(~7)no5
| C9(~7)no5
|9(~7)no5
|  
|
|  
|-
|-
| 12
| 12
Line 652: Line 690:
| 1-11/6-11/8-14/11
| 1-11/6-11/8-14/11
| hemimin
| hemimin
|C~2~11
| C~2~11
|~2~11
| 1-12/11-11/8-3/2
|1-12/11-11/8-3/2
|
|-
|-
| 13
| 13
Line 660: Line 698:
| 1-9/8-11/8-14/11
| 1-9/8-11/8-14/11
| parahemif
| parahemif
|C~,~9
| C~,~9
|~,~9
| 1-11/9-3/2-13/12
|1-11/9-3/2-13/12
|
|-
|-
| 14
| 14
Line 668: Line 706:
| 1-11/9-9/8-14/9
| 1-11/9-9/8-14/9
| parahemif
| parahemif
|C~,9(^5)
| C~,9(^5)
|~,9(^5)
|  
|
|  
|-
|-
| 15
| 15
Line 676: Line 714:
| 1-11/9-11/8-14/9
| 1-11/9-11/8-14/9
| pentacircle
| pentacircle
|C,~6,9no5
| C,~6,9no5
|,~6,9no5
| 1-14/11-18/11-9/4
|1-14/11-18/11-9/4
|
|-
|-
| 16
| 16
Line 684: Line 722:
| 1-9/8-11/8-14/9
| 1-9/8-11/8-14/9
| pentacircle
| pentacircle
|C~,7(\b5)
| C~,7(\b5)
|~,7(\b5)
| 1-11/9-11/8-16/9
|1-11/9-11/8-16/9
|
|-
|-
| 17
| 17
Line 692: Line 730:
| 1-9/8-14/11-14/9
| 1-9/8-14/11-14/9
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
|-
|-
| 18
| 18
Line 700: Line 738:
| 1-11/8-14/11-14/9
| 1-11/8-14/11-14/9
| parahemif
| parahemif
|
|  
|
|  
|
|  
|-
|-
| 19
| 19
Line 708: Line 746:
| 1-3/2-11/6-7/6
| 1-3/2-11/6-7/6
| otonal
| otonal
|C\m~7
| C\m~7
|\m~7
|  
|
| 6:7:9:11
|-
|-
| 20
| 20
Line 716: Line 754:
| 1-11/6-14/11-7/6
| 1-11/6-14/11-7/6
| hemimin
| hemimin
|
|  
|
|  
|
|  
|-
|-
| 21
| 21
Line 724: Line 762:
| 1-14/11-14/9-7/6
| 1-14/11-14/9-7/6
| utonal
| utonal
|C/,~6
| C/,~6
|/,~6
| 1-9/7-3/2-18/11
|1-9/7-3/2-18/11
| 1/(18:14:12:11)
|-
|-
| 22
| 22
Line 732: Line 770:
| 1-11/9-11/6-10/7
| 1-11/9-11/6-10/7
| swetismic
| swetismic
|C\m~6
| C\m~6
|\m~6
| 1-7/6-3/2-13/8
|1-7/6-3/2-13/8
|
|-
|-
| 23
| 23
Line 740: Line 778:
| 1-11/9-9/8-10/7
| 1-11/9-9/8-10/7
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 24
| 24
Line 748: Line 786:
| 1-11/6-9/8-10/7
| 1-11/6-9/8-10/7
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 25
| 25
Line 756: Line 794:
| 1-11/6-14/11-10/7
| 1-11/6-14/11-10/7
| hemififths
| hemififths
|
|  
|
|  
|
|  
|-
|-
| 26
| 26
Line 764: Line 802:
| 1-9/8-14/11-10/7
| 1-9/8-14/11-10/7
| pele
| pele
|C9no5
| C9no5
|9no5
| 1-9/8-14/11-16/9
|1-9/8-14/11-16/9
|
|-
|-
| 27
| 27
Line 772: Line 810:
| 1-11/9-14/9-10/7
| 1-11/9-14/9-10/7
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 28
| 28
Line 780: Line 818:
| 1-9/8-14/9-10/7
| 1-9/8-14/9-10/7
| hemififths
| hemififths
|
|  
|
|  
|
|  
|-
|-
| 29
| 29
Line 788: Line 826:
| 1-14/11-14/9-10/7
| 1-14/11-14/9-10/7
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 30
| 30
Line 796: Line 834:
| 1-11/6-7/6-10/7
| 1-11/6-7/6-10/7
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 31
| 31
Line 804: Line 842:
| 1-14/11-7/6-10/7
| 1-14/11-7/6-10/7
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 32
| 32
Line 812: Line 850:
| 1-14/9-7/6-10/7
| 1-14/9-7/6-10/7
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 33
| 33
Line 820: Line 858:
| 1-11/9-3/2-7/4
| 1-11/9-3/2-7/4
| jove
| jove
|C~,\7
| C~,\7
|~,\7
|  
|
|  
|-
|-
| 34
| 34
Line 828: Line 866:
| 1-11/9-9/8-7/4
| 1-11/9-9/8-7/4
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 35
| 35
Line 836: Line 874:
| 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| otonal
| otonal
|C\9no3
| C\9no3
|\9no3
|  
|
| 4:6:7:9
|-
|-
| 36
| 36
Line 844: Line 882:
| 1-11/9-11/8-7/4
| 1-11/9-11/8-7/4
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 37
| 37
Line 852: Line 890:
| 1-3/2-11/8-7/4
| 1-3/2-11/8-7/4
| otonal
| otonal
|C~4,\7
| C~4,\7
|~4,\7
|  
|
| 8:11:12:14
|-
|-
| 38
| 38
Line 860: Line 898:
| 1-9/8-11/8-7/4
| 1-9/8-11/8-7/4
| otonal
| otonal
|C~4\7,9 <u>or</u> C~,7(^5)
| C~4\7,9 ''or'' C~,7(^5)
|~4\7,9 <u>or</u> ~,7(^5)
| 1-11/9-14/9-16/9
|1-11/9-14/9-16/9
| 9:11:14:16
|-
|-
| 39
| 39
Line 868: Line 906:
| 1-9/8-14/11-7/4
| 1-9/8-14/11-7/4
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
|-
|-
| 40
| 40
Line 876: Line 914:
| 1-11/8-14/11-7/4
| 1-11/8-14/11-7/4
| hemimin
| hemimin
|
|  
|
|  
|
|  
|-
|-
| 41
| 41
Line 884: Line 922:
| 1-11/9-14/9-7/4
| 1-11/9-14/9-7/4
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 42
| 42
Line 892: Line 930:
| 1-9/8-14/9-7/4
| 1-9/8-14/9-7/4
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
|-
|-
| 43
| 43
Line 900: Line 938:
| 1-11/8-14/9-7/4
| 1-11/8-14/9-7/4
| pentacircle
| pentacircle
|
|  
|
|  
|
|  
|-
|-
| 44
| 44
Line 908: Line 946:
| 1-14/11-14/9-7/4
| 1-14/11-14/9-7/4
| utonal
| utonal
|
|  
|
|  
|
| 1/(14:11:9:8)
|-
|-
| 45
| 45
Line 916: Line 954:
| 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| ambitonal
| ambitonal
|C\m7
| C\m7
|\m7
|  
|
|  
|-
|-
| 46
| 46
Line 924: Line 962:
| 1-14/11-7/6-7/4
| 1-14/11-7/6-7/4
| utonal
| utonal
|
|  
|
|  
|
| 1/(14:12:11:8)
|-
|-
| 47
| 47
Line 932: Line 970:
| 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| utonal
| utonal
|C/,9
| C/,9
|/,9
| 1-9/7-3/2-9/4
|1-9/7-3/2-9/4
| 1/(9:7:6:4)
|-
|-
| 48
| 48
Line 940: Line 978:
| 1-11/9-10/7-7/4
| 1-11/9-10/7-7/4
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 49
| 49
Line 948: Line 986:
| 1-9/8-10/7-7/4
| 1-9/8-10/7-7/4
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 50
| 50
Line 956: Line 994:
| 1-14/11-10/7-7/4
| 1-14/11-10/7-7/4
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 51
| 51
Line 964: Line 1,002:
| 1-14/9-10/7-7/4
| 1-14/9-10/7-7/4
| jove
| jove
|
|  
|
|  
|
|  
|-
|-
| 52
| 52
Line 972: Line 1,010:
| 1-7/6-10/7-7/4
| 1-7/6-10/7-7/4
| jove
| jove
|C~,/6
| C~,/6
|~,/6
| 1-11/9-3/2-12/7
|1-11/9-3/2-12/7
|
|-
|-
| 53
| 53
Line 980: Line 1,018:
| 1-14/11-14/9-20/11
| 1-14/11-14/9-20/11
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 54
| 54
Line 988: Line 1,026:
| 1-14/11-7/6-20/11
| 1-14/11-7/6-20/11
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 55
| 55
Line 996: Line 1,034:
| 1-14/9-7/6-20/11
| 1-14/9-7/6-20/11
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 56
| 56
Line 1,004: Line 1,042:
| 1-14/11-10/7-20/11
| 1-14/11-10/7-20/11
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 57
| 57
Line 1,012: Line 1,050:
| 1-14/9-10/7-20/11
| 1-14/9-10/7-20/11
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 58
| 58
Line 1,020: Line 1,058:
| 1-7/6-10/7-20/11
| 1-7/6-10/7-20/11
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 59
| 59
Line 1,028: Line 1,066:
| 1-11/9-14/9-10/9
| 1-11/9-14/9-10/9
| otonal
| otonal
|
|  
|
|  
|
| 9:10:11:14
|-
|-
| 60
| 60
Line 1,036: Line 1,074:
| 1-14/11-14/9-10/9
| 1-14/11-14/9-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 61
| 61
Line 1,044: Line 1,082:
| 1-11/9-10/7-10/9
| 1-11/9-10/7-10/9
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 62
| 62
Line 1,052: Line 1,090:
| 1-14/11-10/7-10/9
| 1-14/11-10/7-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 63
| 63
Line 1,060: Line 1,098:
| 1-14/9-10/7-10/9
| 1-14/9-10/7-10/9
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 64
| 64
Line 1,068: Line 1,106:
| 1-11/9-7/4-10/9
| 1-11/9-7/4-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 65
| 65
Line 1,076: Line 1,114:
| 1-14/11-7/4-10/9
| 1-14/11-7/4-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 66
| 66
Line 1,084: Line 1,122:
| 1-14/9-7/4-10/9
| 1-14/9-7/4-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 67
| 67
Line 1,092: Line 1,130:
| 1-10/7-7/4-10/9
| 1-10/7-7/4-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 68
| 68
Line 1,100: Line 1,138:
| 1-14/11-20/11-10/9
| 1-14/11-20/11-10/9
| werckismic
| werckismic
|
|  
|
|  
|
|  
|-
|-
| 69
| 69
Line 1,108: Line 1,146:
| 1-14/9-20/11-10/9
| 1-14/9-20/11-10/9
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 70
| 70
Line 1,116: Line 1,154:
| 1-10/7-20/11-10/9
| 1-10/7-20/11-10/9
| utonal
| utonal
|
|  
|
|  
|
| 1/(20:18:14:11)
|-
|-
| 71
| 71
Line 1,124: Line 1,162:
| 1-3/2-11/6-5/3
| 1-3/2-11/6-5/3
| otonal
| otonal
|
|  
|
|  
|
| 6:9:10:11
|-
|-
| 72
| 72
Line 1,132: Line 1,170:
| 1-3/2-7/6-5/3
| 1-3/2-7/6-5/3
| otonal
| otonal
|C\m6
| C\m6
|\m6
|  
|
| 6:7:9:10
|-
|-
| 73
| 73
Line 1,140: Line 1,178:
| 1-11/6-7/6-5/3
| 1-11/6-7/6-5/3
| otonal
| otonal
|C\m6~7no5
| C\m6~7no5
|\m6~7no5
|  
|
| 6:7:10:11
|-
|-
| 74
| 74
Line 1,148: Line 1,186:
| 1-11/6-10/7-5/3
| 1-11/6-10/7-5/3
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 75
| 75
Line 1,156: Line 1,194:
| 1-7/6-10/7-5/3
| 1-7/6-10/7-5/3
| swetismic
| swetismic
|C\m6(\~5)
| C\m6(\~5)
|\m6(\~5)
|  
|
|  
|-
|-
| 76
| 76
Line 1,164: Line 1,202:
| 1-7/6-20/11-5/3
| 1-7/6-20/11-5/3
| swetismic
| swetismic
|
|  
|
|  
|
|  
|-
|-
| 77
| 77
Line 1,172: Line 1,210:
| 1-10/7-20/11-5/3
| 1-10/7-20/11-5/3
| utonal
| utonal
|
|  
|
|  
|
| 1/(20:14:12:11)
|-
|-
| 78
| 78
Line 1,180: Line 1,218:
| 1-10/7-10/9-5/3
| 1-10/7-10/9-5/3
| utonal
| utonal
|C/7
| C/7
|/7
| 1-9/7-3/2-9/5
|1-9/7-3/2-9/5
| 1/(9:7:6:5)
|-
|-
| 79
| 79
Line 1,188: Line 1,226:
| 1-20/11-10/9-5/3
| 1-20/11-10/9-5/3
| utonal
| utonal
|C/7~13no3
| C/7~13no3
|/7~13no3
| 1-3/2-18/11-9/5
|1-3/2-18/11-9/5
| 1/(18:12:11:10)
|-
|-
| 80
| 80
Line 1,196: Line 1,234:
| 1-3/2-9/8-5/4
| 1-3/2-9/8-5/4
| otonal
| otonal
|C\,9
| C\,9
|\,9
|  
|
| 4:5:6:9
|-
|-
| 81
| 81
Line 1,204: Line 1,242:
| 1-3/2-11/8-5/4
| 1-3/2-11/8-5/4
| otonal
| otonal
|C\,~11
| C\,~11
|\,~11
|  
|
| 8:10:11:12
|-
|-
|82
| 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)
| C\,9(\b5)
|\,9(\b5)
|  
|
| 8:9:10:11
|-
|-
|83
| 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)
| C,9(\~5)
|,9(\~5)
|  
|
|  
|-
|-
|84
| 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
| C\7
|\7
|  
|
| 4:5:6:7
|-
|-
| 85
| 85
Line 1,236: Line 1,274:
| 1-9/8-7/4-5/4
| 1-9/8-7/4-5/4
| otonal
| otonal
|C\9no5
| C\9no5
|\9no5
|  
|
| 4:5:7:9
|-
|-
| 86
| 86
Line 1,244: Line 1,282:
| 1-11/8-7/4-5/4
| 1-11/8-7/4-5/4
| otonal
| otonal
|C\7~11no5
| C\7~11no5
|\7~11no5
|  
|
| 4:5:7:11
|-
|-
| 87
| 87
Line 1,252: Line 1,290:
| 1-10/7-7/4-5/4
| 1-10/7-7/4-5/4
| werckismic
| werckismic
|C\7(\~5)
| C\7(\~5)
|\7(\~5)
|  
|
|  
|-
|-
| 88
| 88
Line 1,260: Line 1,298:
| 1-10/7-20/11-5/4
| 1-10/7-20/11-5/4
| utonal
| utonal
|C,\7(b5)
| C,\7(b5)
|,\7(b5)
| 1-14/11-7/5-7/4
|1-14/11-7/5-7/4
| 1/(20:16:14:11)
|-
|-
| 89
| 89
Line 1,268: Line 1,306:
| 1-10/7-10/9-5/4
| 1-10/7-10/9-5/4
| utonal
| utonal
|C/9no5
| C/9no5
|/9no5
| 1-9/7-9/5-9/4
|1-9/7-9/5-9/4
| 1/(10:9:8:7)
|-
|-
|90
| 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
| C\7\9no5
|\7\9no5
|  
|
|  
|-
|-
|91
| 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
| C2~6^7no5
|2~6^7no5
| 1-18/11-9/5-9/4
|1-18/11-9/5-9/4
| 1/(20:18:16:11)
|-
|-
|92
| 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
| C\6 <u>or</u> C/m7
|\6 <u>or</u> /m7
| 1-6/5-3/2-9/5
|1-6/5-3/2-9/5
|
|-
|-
|93
| 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
| C/m6<br>C\m7(b5)
C\m7(b5)|/m6
| 1-6/5-3/2-12/7<br>1-7/6-7/5-7/4
\m7(b5)
| 1/(12:10:8:7)<br>1/(7:6:5:4)
|1-6/5-3/2-12/7
1-7/6-7/5-7/4
|-
|-
| 94
| 94
Line 1,310: Line 1,346:
| 1-20/11-5/3-5/4
| 1-20/11-5/3-5/4
| utonal
| utonal
|C/m,~9
| C/m,~9
|/m,~9
| 1-6/5-3/2-24/11
|1-6/5-3/2-12/11
| 1/(24:20:18:11)
|-
|-
| 95
| 95
Line 1,318: Line 1,354:
| 1-10/9-5/3-5/4
| 1-10/9-5/3-5/4
| utonal
| utonal
|C/9no3
| C/9no3
|/9no3
| 1-3/2-9/5-9/4
|1-3/2-9/5-9/4
| 1/(9:6:5:4)
|}
|}


Line 1,327: Line 1,363:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
!Inversion
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 1,337: Line 1,374:
| 1-11/9-3/2-11/6-9/8
| 1-11/9-3/2-11/6-9/8
| rastmic
| rastmic
|C~9
| C~9
|
|
|  
|-
|-
| 2
| 2
Line 1,344: Line 1,382:
| 1-11/9-3/2-11/6-11/8
| 1-11/9-3/2-11/6-11/8
| rastmic
| rastmic
|C~11no9
| C~11no9
|
|
|  
|-
|-
| 3
| 3
Line 1,351: Line 1,390:
| 1-11/9-3/2-9/8-11/8
| 1-11/9-3/2-9/8-11/8
| rastmic
| rastmic
|C~11no7
| C~11no7
|
|
|  
|-
|-
| 4
| 4
Line 1,358: Line 1,398:
| 1-11/9-11/6-9/8-11/8
| 1-11/9-11/6-9/8-11/8
| rastmic
| rastmic
|C~11no5
| C~11no5
|
|
|  
|-
|-
| 5
| 5
Line 1,365: Line 1,406:
| 1-3/2-11/6-9/8-11/8
| 1-3/2-11/6-9/8-11/8
| rastmic
| rastmic
|C~11no3
| C~11no3
|
|
|  
|-
|-
| 6
| 6
Line 1,372: 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 1,379: 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 1,386: 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 1,393: 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 1,400: 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 1,407: 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 1,414: 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 1,421: 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 1,428: 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 1,435: 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)
| C~9(\m7)
|
|
|  
|-
|-
| 16
| 16
Line 1,442: 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 1,449: 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 1,456: 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
| C\9~11no3
|
|  
| 4:6:7:9:11
|-
|-
| 19
| 19
Line 1,463: 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 1,470: 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 1,477: 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 1,484: 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 1,491: 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 1,498: 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 1,505: 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
| C/,~6,9
|1-9/7-3/2-18/11-9/4
| 1-9/7-3/2-18/11-9/4
| 1/(18:14:12:11:8)
|-
|-
| 26
| 26
Line 1,512: 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 1,519: 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 1,526: 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 1,533: 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 1,540: 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 1,547: 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 1,554: 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 1,561: 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 1,568: 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 1,575: 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 1,582: 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 1,589: 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 1,596: 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 1,603: 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 1,610: 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 1,617: 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 1,624: 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 1,631: 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 1,638: 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 1,645: 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 1,652: 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 1,659: 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
| C\m6~7
|
|  
| 6:7:9:10:11
|-
|-
| 48
| 48
Line 1,666: 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 1,673: 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 1,680: 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
| C/7~6
|1-9/7-3/2-18/11-9/5
| 1-9/7-3/2-18/11-9/5
| 1/(18:14:12:11:10)
|-
|-
| 51
| 51
Line 1,687: 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
| C\,9~11
|
|  
| 4:5:6:9:11
|-
|-
| 52
| 52
Line 1,694: 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
| C\9
|
|  
| 4:5:6:7:9
|-
|-
| 53
| 53
Line 1,701: 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
| C\7~11
|
|  
| 4:5:6:7:11
|-
|-
| 54
| 54
Line 1,708: 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
| C\9~11no5
|
|  
| 4:5:7:9:11
|-
|-
| 55
| 55
Line 1,715: 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)
| C\9(\~5)
|
|
|  
|-
|-
| 56
| 56
Line 1,722: 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 1,729: 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
| C/9~6no5
|1-9/7-18/11-9/5-9/4
| 1-9/7-18/11-9/5-9/4
| 1/(18:14:11:10:8)
|-
|-
| 58
| 58
Line 1,736: 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
| C/m6~9
|1-6/5-3/2-12/7-13/6
| 1-6/5-3/2-12/7-24/11
| 1/(24:20:16:14:11)
|-
|-
| 59
| 59
Line 1,743: 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
| C/9
|1-9/7-3/2-9/5-9/4
| 1-9/7-3/2-9/5-9/4
| 1/(9:7:6:5:4)
|-
|-
| 60
| 60
Line 1,750: 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
| C/9~6no3
|1-3/2-18/11-9/5-9/4
| 1-3/2-18/11-9/5-9/4
| 1/(18:12:11:10:8)
|}
|}


Line 1,758: Line 1,855:
|-
|-
! #
! #
! Chord
! Genspans
! Transversal
! Transversal
! Type
! Type
!Name
! Name
!Inversion
! Inversion
! As harmonics<br>or subharmonics
|-
|-
| 1
| 1
Line 1,768: 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
|C~11
| C~11
|
|
|  
|-
|-
| 2
| 2
Line 1,775: 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)
| C~11(\m7)
|
|
|  
|-
|-
| 3
| 3
Line 1,782: 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 1,796: 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 1,803: 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 1,810: 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 1,817: 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 1,824: 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 1,831: 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 1,838: 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 1,845: 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
| C\9~11
|
|  
| 4:5:6:7:9:11
|-
|-
| 13
| 13
Line 1,852: 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
| C/9~6
|1-9/7-3/2-18/11-9/5-9/4
| 1-9/7-3/2-18/11-9/5-9/4
| 1/(18:14:12:11:10:8)
|}
|}


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