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Hemififths/Chords: Difference between revisions

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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 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".
{| class="wikitable"
|+Hemififth's genchain
!Genspan
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
!Ratio
|1/1
|11/9
|3/2
|11/6
|9/8
|11/8
|27/16
|33/32
|14/11
|14/9
|40/21
|7/6
|10/7
|7/4
|15/14
|21/16
|-
!Interval
|P1
|~3
|P5
|~7
|M2
|~4
|M6
|^1
|M3
|^5
|M7
|^2
|A4
|^6
|A1
|^3
|}


== Triads ==
== Triads ==
Line 10: Line 68:
! Transversal
! Transversal
! Type
! Type
!Name
|-
|-
| 1
| 1
Line 15: Line 74:
| 1-11/9-3/2
| 1-11/9-3/2
| rastmic
| rastmic
|~
|-
|-
| 2
| 2
Line 20: Line 80:
| 1-11/9-11/6
| 1-11/9-11/6
| utonal
| utonal
|~7no5
|-
|-
| 3
| 3
Line 25: Line 86:
| 1-3/2-11/6
| 1-3/2-11/6
| otonal
| otonal
|~7no3
|-
|-
| 4
| 4
Line 30: Line 92:
| 1-11/9-9/8
| 1-11/9-9/8
| rastmic
| rastmic
|
|-
|-
| 5
| 5
Line 35: Line 98:
| 1-3/2-9/8
| 1-3/2-9/8
| ambitonal
| ambitonal
|2 <u>or</u> 4
|-
|-
| 6
| 6
Line 40: Line 104:
| 1-11/6-9/8
| 1-11/6-9/8
| rastmic
| rastmic
|
|-
|-
| 7
| 7
Line 45: Line 110:
| 1-11/9-11/8
| 1-11/9-11/8
| utonal
| utonal
|~6sus2
|-
|-
| 8
| 8
Line 50: Line 116:
| 1-3/2-11/8
| 1-3/2-11/8
| otonal
| otonal
|~7sus4
|-
|-
| 9
| 9
Line 55: Line 122:
| 1-11/6-11/8
| 1-11/6-11/8
| utonal
| utonal
|~2
|-
|-
| 10
| 10
Line 60: Line 128:
| 1-9/8-11/8
| 1-9/8-11/8
| otonal
| otonal
|~,7no5
|-
|-
| 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
|-
|-
| 12
| 13
| 0-4-8
| 0-4-8
| 1-9/8-14/11
| 1-9/8-14/11
| pentacircle
| pentacircle
|,9no5
|-
|-
| 13
| 14
| 0-5-8
| 0-5-8
| 1-11/8-14/11
| 1-11/8-14/11
| hemimin
| hemimin
|
|-
|-
| 14
| 15
| 0-1-9
| 0-1-9
| 1-11/9-14/9
| 1-11/9-14/9
| otonal
| otonal
|
|-
|-
| 15
| 16
| 0-4-9
| 0-4-9
| 1-9/8-14/9
| 1-9/8-14/9
| pentacircle
| pentacircle
|7~4no5
|-
|-
| 16
| 17
| 0-5-9
| 0-5-9
| 1-11/8-14/9
| 1-11/8-14/9
| pentacircle
| pentacircle
|
|-
|-
| 17
| 18
| 0-8-9
| 0-8-9
| 1-14/11-14/9
| 1-14/11-14/9
| utonal
| utonal
|(^5)
|-
|-
| 18
| 19
| 0-2-11
| 0-2-11
| 1-3/2-7/6
| 1-3/2-7/6
| otonal
| otonal
|
|-
|-
| 19
| 20
| 0-3-11
| 0-3-11
| 1-11/6-7/6
| 1-11/6-7/6
| otonal
| otonal
|
|-
|-
| 20
| 21
| 0-8-11
| 0-8-11
| 1-14/11-7/6
| 1-14/11-7/6
| utonal
| utonal
|
|-
|-
| 21
| 22
| 0-9-11
| 0-9-11
| 1-14/9-7/6
| 1-14/9-7/6
| utonal
| utonal
|
|-
|-
| 22
| 23
| 0-1-12
| 0-1-12
| 1-11/9-10/7
| 1-11/9-10/7
| swetismic
| swetismic
|
|-
|-
| 23
| 24
| 0-3-12
| 0-3-12
| 1-11/6-10/7
| 1-11/6-10/7
| swetismic
| swetismic
|v4(b5)
|-
|-
| 24
| 25
| 0-4-12
| 0-4-12
| 1-9/8-10/7
| 1-9/8-10/7
| werckismic
| werckismic
|
|-
|-
| 25
| 26
| 0-8-12
| 0-8-12
| 1-14/11-10/7
| 1-14/11-10/7
| werckismic
| werckismic
|7(b5)no3
|-
|-
| 26
| 27
| 0-9-12
| 0-9-12
| 1-14/9-10/7
| 1-14/9-10/7
| swetismic
| swetismic
|~2(b5)
|-
|-
| 27
| 28
| 0-11-12
| 0-11-12
| 1-7/6-10/7
| 1-7/6-10/7
| swetismic
| swetismic
|~6(b5)no3
|-
|-
| 28
| 29
| 0-1-13
| 0-1-13
| 1-11/9-7/4
| 1-11/9-7/4
| werckismic
| werckismic
|
|-
|-
| 29
| 30
| 0-2-13
| 0-2-13
| 1-3/2-7/4
| 1-3/2-7/4
| otonal
| otonal
|
|-
|-
| 30
| 31
| 0-4-13
| 0-4-13
| 1-9/8-7/4
| 1-9/8-7/4
| otonal
| otonal
|
|-
|-
| 31
| 32
| 0-5-13
| 0-5-13
| 1-11/8-7/4
| 1-11/8-7/4
| otonal
| otonal
|
|-
|-
| 32
| 33
| 0-8-13
| 0-8-13
| 1-14/11-7/4
| 1-14/11-7/4
| utonal
| utonal
|
|-
|-
| 33
| 34
| 0-9-13
| 0-9-13
| 1-14/9-7/4
| 1-14/9-7/4
| utonal
| utonal
|
|-
|-
| 34
| 35
| 0-11-13
| 0-11-13
| 1-7/6-7/4
| 1-7/6-7/4
| utonal
| utonal
|
|-
|-
| 35
| 36
| 0-12-13
| 0-12-13
| 1-10/7-7/4
| 1-10/7-7/4
| werckismic
| werckismic
|
|-
|-
| 36
| 37
| 0-8-20
| 0-8-20
| 1-14/11-20/11
| 1-14/11-20/11
| otonal
| otonal
|
|-
|-
| 37
| 38
| 0-9-20
| 0-9-20
| 1-14/9-20/11
| 1-14/9-20/11
| swetismic
| swetismic
|
|-
|-
| 38
| 39
| 0-11-20
| 0-11-20
| 1-7/6-20/11
| 1-7/6-20/11
| swetismic
| swetismic
|
|-
|-
| 39
| 40
| 0-12-20
| 0-12-20
| 1-10/7-20/11
| 1-10/7-20/11
| utonal
| utonal
|(b5)
|-
|-
| 40
| 41
| 0-1-21
| 0-1-21
| 1-11/9-10/9
| 1-11/9-10/9
| otonal
| otonal
|
|-
|-
| 41
| 42
| 0-8-21
| 0-8-21
| 1-14/11-10/9
| 1-14/11-10/9
| werckismic
| werckismic
|
|-
|-
| 42
| 43
| 0-9-21
| 0-9-21
| 1-14/9-10/9
| 1-14/9-10/9
| otonal
| otonal
|
|-
|-
| 43
| 44
| 0-12-21
| 0-12-21
| 1-10/7-10/9
| 1-10/7-10/9
| utonal
| utonal
|
|-
|-
| 44
| 45
| 0-13-21
| 0-13-21
| 1-7/4-10/9
| 1-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 45
| 46
| 0-20-21
| 0-20-21
| 1-20/11-10/9
| 1-20/11-10/9
| utonal
| utonal
|
|-
|-
| 46
| 47
| 0-2-23
| 0-2-23
| 1-3/2-5/3
| 1-3/2-5/3
| otonal
| otonal
|
|-
|-
| 47
| 48
| 0-3-23
| 0-3-23
| 1-11/6-5/3
| 1-11/6-5/3
| otonal
| otonal
|
|-
|-
| 48
| 49
| 0-11-23
| 0-11-23
| 1-7/6-5/3
| 1-7/6-5/3
| otonal
| otonal
|
|-
|-
| 49
| 50
| 0-12-23
| 0-12-23
| 1-10/7-5/3
| 1-10/7-5/3
| utonal
| utonal
|
|-
|-
| 50
| 51
| 0-20-23
| 0-20-23
| 1-20/11-5/3
| 1-20/11-5/3
| utonal
| utonal
|
|-
|-
| 51
| 52
| 0-21-23
| 0-21-23
| 1-10/9-5/3
| 1-10/9-5/3
| utonal
| utonal
|
|-
|-
| 52
| 53
| 0-2-25
| 0-2-25
| 1-3/2-5/4
| 1-3/2-5/4
| otonal
| otonal
|
|-
|-
| 53
| 54
| 0-4-25
| 0-4-25
| 1-9/8-5/4
| 1-9/8-5/4
| otonal
| otonal
|
|-
|-
| 54
| 55
| 0-5-25
| 0-5-25
| 1-11/8-5/4
| 1-11/8-5/4
| otonal
| otonal
|
|-
|-
| 55
| 56
| 0-12-25
| 0-12-25
| 1-10/7-5/4
| 1-10/7-5/4
| utonal
| utonal
|
|-
|-
| 56
| 57
| 0-13-25
| 0-13-25
| 1-7/4-5/4
| 1-7/4-5/4
| otonal
| otonal
|
|-
|-
| 57
| 58
| 0-20-25
| 0-20-25
| 1-20/11-5/4
| 1-20/11-5/4
| utonal
| utonal
|
|-
|-
| 58
| 59
| 0-21-25
| 0-21-25
| 1-10/9-5/4
| 1-10/9-5/4
| utonal
| utonal
|
|-
|-
| 59
| 60
| 0-23-25
| 0-23-25
| 1-5/3-5/4
| 1-5/3-5/4
| utonal
| utonal
|
|}
|}


Line 314: Line 438:
! Transversal
! Transversal
! Type
! Type
!Name
|-
|-
| 1
| 1
Line 319: Line 444:
| 1-11/9-3/2-11/6
| 1-11/9-3/2-11/6
| rastmic
| rastmic
|~7
|-
|-
| 2
| 2
Line 324: Line 450:
| 1-11/9-3/2-9/8
| 1-11/9-3/2-9/8
| rastmic
| rastmic
|~,9
|-
|-
| 3
| 3
Line 329: Line 456:
| 1-11/9-11/6-9/8
| 1-11/9-11/6-9/8
| rastmic
| rastmic
|~9no5
|-
|-
| 4
| 4
Line 334: Line 462:
| 1-3/2-11/6-9/8
| 1-3/2-11/6-9/8
| rastmic
| rastmic
|~9no3
|-
|-
| 5
| 5
Line 339: Line 468:
| 1-11/9-3/2-11/8
| 1-11/9-3/2-11/8
| rastmic
| rastmic
|~6,9
|-
|-
| 6
| 6
Line 344: Line 474:
| 1-11/9-11/6-11/8
| 1-11/9-11/6-11/8
| utonal
| utonal
|
|-
|-
| 7
| 7
Line 349: Line 480:
| 1-3/2-11/6-11/8
| 1-3/2-11/6-11/8
| ambitonal
| ambitonal
|
|-
|-
| 8
| 8
Line 354: Line 486:
| 1-11/9-9/8-11/8
| 1-11/9-9/8-11/8
| rastmic
| rastmic
|
|-
|-
| 9
| 9
Line 359: Line 492:
| 1-3/2-9/8-11/8
| 1-3/2-9/8-11/8
| otonal
| otonal
|
|-
|-
| 10
| 10
Line 364: Line 498:
| 1-11/6-9/8-11/8
| 1-11/6-9/8-11/8
| rastmic
| rastmic
|~11no35
|-
|11
|0-4-5-6
|1-11/9-3/2-16/9
|
|~,7
|-
|-
| 11
| 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
|-
|-
| 12
| 13
| 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
|-
|-
| 13
| 14
| 0-4-5-8
| 0-4-5-8
| 1-9/8-11/8-14/11
| 1-9/8-11/8-14/11
| parahemif
| parahemif
|
|-
|-
| 14
| 15
| 0-1-4-9
| 0-1-4-9
| 1-11/9-9/8-14/9
| 1-11/9-9/8-14/9
| parahemif
| parahemif
|
|-
|-
| 15
| 16
| 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
|-
|-
| 16
| 17
| 0-4-5-9
| 0-4-5-9
| 1-9/8-11/8-14/9
| 1-9/8-11/8-14/9
| pentacircle
| pentacircle
|
|-
|-
| 17
| 18
| 0-4-8-9
| 0-4-8-9
| 1-9/8-14/11-14/9
| 1-9/8-14/11-14/9
| pentacircle
| pentacircle
|
|-
|-
| 18
| 19
| 0-5-8-9
| 0-5-8-9
| 1-11/8-14/11-14/9
| 1-11/8-14/11-14/9
| parahemif
| parahemif
|
|-
|-
| 19
| 20
| 0-2-3-11
| 0-2-3-11
| 1-3/2-11/6-7/6
| 1-3/2-11/6-7/6
| otonal
| otonal
|
|-
|-
| 20
| 21
| 0-3-8-11
| 0-3-8-11
| 1-11/6-14/11-7/6
| 1-11/6-14/11-7/6
| hemimin
| hemimin
|
|-
|-
| 21
| 22
| 0-8-9-11
| 0-8-9-11
| 1-14/11-14/9-7/6
| 1-14/11-14/9-7/6
| utonal
| utonal
|
|-
|-
| 22
| 23
| 0-1-3-12
| 0-1-3-12
| 1-11/9-11/6-10/7
| 1-11/9-11/6-10/7
| swetismic
| swetismic
|
|-
|-
| 23
| 24
| 0-1-4-12
| 0-1-4-12
| 1-11/9-9/8-10/7
| 1-11/9-9/8-10/7
| jove
| jove
|
|-
|-
| 24
| 25
| 0-3-4-12
| 0-3-4-12
| 1-11/6-9/8-10/7
| 1-11/6-9/8-10/7
| jove
| jove
|
|-
|-
| 25
| 26
| 0-3-8-12
| 0-3-8-12
| 1-11/6-14/11-10/7
| 1-11/6-14/11-10/7
| hemififths
| hemififths
|
|-
|-
| 26
| 27
| 0-4-8-12
| 0-4-8-12
| 1-9/8-14/11-10/7
| 1-9/8-14/11-10/7
| pele
| pele
|
|-
|-
| 27
| 28
| 0-1-9-12
| 0-1-9-12
| 1-11/9-14/9-10/7
| 1-11/9-14/9-10/7
| swetismic
| swetismic
|
|-
|-
| 28
| 29
| 0-4-9-12
| 0-4-9-12
| 1-9/8-14/9-10/7
| 1-9/8-14/9-10/7
| hemififths
| hemififths
|
|-
|-
| 29
| 30
| 0-8-9-12
| 0-8-9-12
| 1-14/11-14/9-10/7
| 1-14/11-14/9-10/7
| jove
| jove
|
|-
|-
| 30
| 31
| 0-3-11-12
| 0-3-11-12
| 1-11/6-7/6-10/7
| 1-11/6-7/6-10/7
| swetismic
| swetismic
|
|-
|-
| 31
| 32
| 0-8-11-12
| 0-8-11-12
| 1-14/11-7/6-10/7
| 1-14/11-7/6-10/7
| jove
| jove
|
|-
|-
| 32
| 33
| 0-9-11-12
| 0-9-11-12
| 1-14/9-7/6-10/7
| 1-14/9-7/6-10/7
| swetismic
| swetismic
|
|-
|-
| 33
| 34
| 0-1-2-13
| 0-1-2-13
| 1-11/9-3/2-7/4
| 1-11/9-3/2-7/4
| jove
| jove
|
|-
|-
| 34
| 35
| 0-1-4-13
| 0-1-4-13
| 1-11/9-9/8-7/4
| 1-11/9-9/8-7/4
| jove
| jove
|
|-
|-
| 35
| 36
| 0-2-4-13
| 0-2-4-13
| 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| otonal
| otonal
|
|-
|-
| 36
| 37
| 0-1-5-13
| 0-1-5-13
| 1-11/9-11/8-7/4
| 1-11/9-11/8-7/4
| werckismic
| werckismic
|
|-
|-
| 37
| 38
| 0-2-5-13
| 0-2-5-13
| 1-3/2-11/8-7/4
| 1-3/2-11/8-7/4
| otonal
| otonal
|
|-
|-
| 38
| 39
| 0-4-5-13
| 0-4-5-13
| 1-9/8-11/8-7/4
| 1-9/8-11/8-7/4
| otonal
| otonal
|
|-
|-
| 39
| 40
| 0-4-8-13
| 0-4-8-13
| 1-9/8-14/11-7/4
| 1-9/8-14/11-7/4
| pentacircle
| pentacircle
|
|-
|-
| 40
| 41
| 0-5-8-13
| 0-5-8-13
| 1-11/8-14/11-7/4
| 1-11/8-14/11-7/4
| hemimin
| hemimin
|
|-
|-
| 41
| 42
| 0-1-9-13
| 0-1-9-13
| 1-11/9-14/9-7/4
| 1-11/9-14/9-7/4
| werckismic
| werckismic
|
|-
|-
| 42
| 43
| 0-4-9-13
| 0-4-9-13
| 1-9/8-14/9-7/4
| 1-9/8-14/9-7/4
| pentacircle
| pentacircle
|
|-
|-
| 43
| 44
| 0-5-9-13
| 0-5-9-13
| 1-11/8-14/9-7/4
| 1-11/8-14/9-7/4
| pentacircle
| pentacircle
|
|-
|-
| 44
| 45
| 0-8-9-13
| 0-8-9-13
| 1-14/11-14/9-7/4
| 1-14/11-14/9-7/4
| utonal
| utonal
|
|-
|-
| 45
| 46
| 0-2-11-13
| 0-2-11-13
| 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| ambitonal
| ambitonal
|
|-
|-
| 46
| 47
| 0-8-11-13
| 0-8-11-13
| 1-14/11-7/6-7/4
| 1-14/11-7/6-7/4
| utonal
| utonal
|
|-
|-
| 47
| 48
| 0-9-11-13
| 0-9-11-13
| 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| utonal
| utonal
|
|-
|-
| 48
| 49
| 0-1-12-13
| 0-1-12-13
| 1-11/9-10/7-7/4
| 1-11/9-10/7-7/4
| jove
| jove
|
|-
|-
| 49
| 50
| 0-4-12-13
| 0-4-12-13
| 1-9/8-10/7-7/4
| 1-9/8-10/7-7/4
| werckismic
| werckismic
|
|-
|-
| 50
| 51
| 0-8-12-13
| 0-8-12-13
| 1-14/11-10/7-7/4
| 1-14/11-10/7-7/4
| werckismic
| werckismic
|
|-
|-
| 51
| 52
| 0-9-12-13
| 0-9-12-13
| 1-14/9-10/7-7/4
| 1-14/9-10/7-7/4
| jove
| jove
|
|-
|-
| 52
| 53
| 0-11-12-13
| 0-11-12-13
| 1-7/6-10/7-7/4
| 1-7/6-10/7-7/4
| jove
| jove
|
|-
|-
| 53
| 54
| 0-8-9-20
| 0-8-9-20
| 1-14/11-14/9-20/11
| 1-14/11-14/9-20/11
| swetismic
| swetismic
|
|-
|-
| 54
| 55
| 0-8-11-20
| 0-8-11-20
| 1-14/11-7/6-20/11
| 1-14/11-7/6-20/11
| swetismic
| swetismic
|
|-
|-
| 55
| 56
| 0-9-11-20
| 0-9-11-20
| 1-14/9-7/6-20/11
| 1-14/9-7/6-20/11
| swetismic
| swetismic
|
|-
|-
| 56
| 57
| 0-8-12-20
| 0-8-12-20
| 1-14/11-10/7-20/11
| 1-14/11-10/7-20/11
| werckismic
| werckismic
|
|-
|-
| 57
| 58
| 0-9-12-20
| 0-9-12-20
| 1-14/9-10/7-20/11
| 1-14/9-10/7-20/11
| swetismic
| swetismic
|
|-
|-
| 58
| 59
| 0-11-12-20
| 0-11-12-20
| 1-7/6-10/7-20/11
| 1-7/6-10/7-20/11
| swetismic
| swetismic
|
|-
|-
| 59
| 60
| 0-1-9-21
| 0-1-9-21
| 1-11/9-14/9-10/9
| 1-11/9-14/9-10/9
| otonal
| otonal
|
|-
|-
| 60
| 61
| 0-8-9-21
| 0-8-9-21
| 1-14/11-14/9-10/9
| 1-14/11-14/9-10/9
| werckismic
| werckismic
|
|-
|-
| 61
| 62
| 0-1-12-21
| 0-1-12-21
| 1-11/9-10/7-10/9
| 1-11/9-10/7-10/9
| swetismic
| swetismic
|
|-
|-
| 62
| 63
| 0-8-12-21
| 0-8-12-21
| 1-14/11-10/7-10/9
| 1-14/11-10/7-10/9
| werckismic
| werckismic
|
|-
|-
| 63
| 64
| 0-9-12-21
| 0-9-12-21
| 1-14/9-10/7-10/9
| 1-14/9-10/7-10/9
| swetismic
| swetismic
|
|-
|-
| 64
| 65
| 0-1-13-21
| 0-1-13-21
| 1-11/9-7/4-10/9
| 1-11/9-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 65
| 66
| 0-8-13-21
| 0-8-13-21
| 1-14/11-7/4-10/9
| 1-14/11-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 66
| 67
| 0-9-13-21
| 0-9-13-21
| 1-14/9-7/4-10/9
| 1-14/9-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 67
| 68
| 0-12-13-21
| 0-12-13-21
| 1-10/7-7/4-10/9
| 1-10/7-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 68
| 69
| 0-8-20-21
| 0-8-20-21
| 1-14/11-20/11-10/9
| 1-14/11-20/11-10/9
| werckismic
| werckismic
|
|-
|-
| 69
| 70
| 0-9-20-21
| 0-9-20-21
| 1-14/9-20/11-10/9
| 1-14/9-20/11-10/9
| swetismic
| swetismic
|
|-
|-
| 70
| 71
| 0-12-20-21
| 0-12-20-21
| 1-10/7-20/11-10/9
| 1-10/7-20/11-10/9
| utonal
| utonal
|
|-
|-
| 71
| 72
| 0-2-3-23
| 0-2-3-23
| 1-3/2-11/6-5/3
| 1-3/2-11/6-5/3
| otonal
| otonal
|
|-
|-
| 72
| 73
| 0-2-11-23
| 0-2-11-23
| 1-3/2-7/6-5/3
| 1-3/2-7/6-5/3
| otonal
| otonal
|
|-
|-
| 73
| 74
| 0-3-11-23
| 0-3-11-23
| 1-11/6-7/6-5/3
| 1-11/6-7/6-5/3
| otonal
| otonal
|
|-
|-
| 74
| 75
| 0-3-12-23
| 0-3-12-23
| 1-11/6-10/7-5/3
| 1-11/6-10/7-5/3
| swetismic
| swetismic
|
|-
|-
| 75
| 76
| 0-11-12-23
| 0-11-12-23
| 1-7/6-10/7-5/3
| 1-7/6-10/7-5/3
| swetismic
| swetismic
|
|-
|-
| 76
| 77
| 0-11-20-23
| 0-11-20-23
| 1-7/6-20/11-5/3
| 1-7/6-20/11-5/3
| swetismic
| swetismic
|
|-
|-
| 77
| 78
| 0-12-20-23
| 0-12-20-23
| 1-10/7-20/11-5/3
| 1-10/7-20/11-5/3
| utonal
| utonal
|
|-
|-
| 78
| 79
| 0-12-21-23
| 0-12-21-23
| 1-10/7-10/9-5/3
| 1-10/7-10/9-5/3
| utonal
| utonal
|
|-
|-
| 79
| 80
| 0-20-21-23
| 0-20-21-23
| 1-20/11-10/9-5/3
| 1-20/11-10/9-5/3
| utonal
| utonal
|
|-
|-
| 80
| 81
| 0-2-4-25
| 0-2-4-25
| 1-3/2-9/8-5/4
| 1-3/2-9/8-5/4
| otonal
| otonal
|
|-
|-
| 81
| 82
| 0-2-5-25
| 0-2-5-25
| 1-3/2-11/8-5/4
| 1-3/2-11/8-5/4
| otonal
| otonal
|
|-
|-
| 82
| 83
| 0-4-5-25
| 0-4-5-25
| 1-9/8-11/8-5/4
| 1-9/8-11/8-5/4
| otonal
| otonal
|
|-
|-
| 83
| 84
| 0-4-12-25
| 0-4-12-25
| 1-9/8-10/7-5/4
| 1-9/8-10/7-5/4
| werckismic
| werckismic
|
|-
|-
| 84
| 85
| 0-2-13-25
| 0-2-13-25
| 1-3/2-7/4-5/4
| 1-3/2-7/4-5/4
| otonal
| otonal
|
|-
|-
| 85
| 86
| 0-4-13-25
| 0-4-13-25
| 1-9/8-7/4-5/4
| 1-9/8-7/4-5/4
| otonal
| otonal
|
|-
|-
| 86
| 87
| 0-5-13-25
| 0-5-13-25
| 1-11/8-7/4-5/4
| 1-11/8-7/4-5/4
| otonal
| otonal
|
|-
|-
| 87
| 88
| 0-12-13-25
| 0-12-13-25
| 1-10/7-7/4-5/4
| 1-10/7-7/4-5/4
| werckismic
| werckismic
|
|-
|-
| 88
| 89
| 0-12-20-25
| 0-12-20-25
| 1-10/7-20/11-5/4
| 1-10/7-20/11-5/4
| utonal
| utonal
|
|-
|-
| 89
| 90
| 0-12-21-25
| 0-12-21-25
| 1-10/7-10/9-5/4
| 1-10/7-10/9-5/4
| utonal
| utonal
|
|-
|-
| 90
| 91
| 0-13-21-25
| 0-13-21-25
| 1-7/4-10/9-5/4
| 1-7/4-10/9-5/4
| werckismic
| werckismic
|
|-
|-
| 91
| 92
| 0-20-21-25
| 0-20-21-25
| 1-20/11-10/9-5/4
| 1-20/11-10/9-5/4
| utonal
| utonal
|
|-
|-
| 92
| 93
| 0-2-23-25
| 0-2-23-25
| 1-3/2-5/3-5/4
| 1-3/2-5/3-5/4
| ambitonal
| ambitonal
|
|-
|-
| 93
| 94
| 0-12-23-25
| 0-12-23-25
| 1-10/7-5/3-5/4
| 1-10/7-5/3-5/4
| utonal
| utonal
|
|-
|-
| 94
| 95
| 0-20-23-25
| 0-20-23-25
| 1-20/11-5/3-5/4
| 1-20/11-5/3-5/4
| utonal
| utonal
|
|-
|-
| 95
| 96
| 0-21-23-25
| 0-21-23-25
| 1-10/9-5/3-5/4
| 1-10/9-5/3-5/4
| utonal
| utonal
|
|}
|}


Line 798: Line 1,024:
! Transversal
! Transversal
! Type
! Type
!Name
|-
|-
| 1
| 1
Line 803: Line 1,030:
| 1-11/9-3/2-11/6-9/8
| 1-11/9-3/2-11/6-9/8
| rastmic
| rastmic
|~9
|-
|-
| 2
| 2
Line 808: Line 1,036:
| 1-11/9-3/2-11/6-11/8
| 1-11/9-3/2-11/6-11/8
| rastmic
| rastmic
|~7,~11
|-
|-
| 3
| 3
Line 813: Line 1,042:
| 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
|-
|-
| 4
| 4
Line 818: Line 1,048:
| 1-11/9-11/6-9/8-11/8
| 1-11/9-11/6-9/8-11/8
| rastmic
| rastmic
|~11no5
|-
|-
| 5
| 5
Line 823: Line 1,054:
| 1-3/2-11/6-9/8-11/8
| 1-3/2-11/6-9/8-11/8
| rastmic
| rastmic
|~11no3
|-
|-
| 6
| 6
Line 828: Line 1,060:
| 1-11/6-9/8-11/8-14/11
| 1-11/6-9/8-11/8-14/11
| parahemif
| parahemif
|
|-
|-
| 7
| 7
Line 833: Line 1,066:
| 1-11/9-9/8-11/8-14/9
| 1-11/9-9/8-11/8-14/9
| parahemif
| parahemif
|
|-
|-
| 8
| 8
Line 838: Line 1,072:
| 1-9/8-11/8-14/11-14/9
| 1-9/8-11/8-14/11-14/9
| parahemif
| parahemif
|
|-
|-
| 9
| 9
Line 843: Line 1,078:
| 1-11/9-11/6-9/8-10/7
| 1-11/9-11/6-9/8-10/7
| jove
| jove
|
|-
|-
| 10
| 10
Line 848: Line 1,084:
| 1-11/6-9/8-14/11-10/7
| 1-11/6-9/8-14/11-10/7
| hemififths
| hemififths
|
|-
|-
| 11
| 11
Line 853: Line 1,090:
| 1-11/9-9/8-14/9-10/7
| 1-11/9-9/8-14/9-10/7
| hemififths
| hemififths
|
|-
|-
| 12
| 12
Line 858: Line 1,096:
| 1-9/8-14/11-14/9-10/7
| 1-9/8-14/11-14/9-10/7
| hemififths
| hemififths
|
|-
|-
| 13
| 13
Line 863: Line 1,102:
| 1-11/6-14/11-7/6-10/7
| 1-11/6-14/11-7/6-10/7
| hemififths
| hemififths
|
|-
|-
| 14
| 14
Line 868: Line 1,108:
| 1-14/11-14/9-7/6-10/7
| 1-14/11-14/9-7/6-10/7
| jove
| jove
|
|-
|-
| 15
| 15
Line 873: Line 1,114:
| 1-11/9-3/2-9/8-7/4
| 1-11/9-3/2-9/8-7/4
| jove
| jove
|
|-
|-
| 16
| 16
Line 878: Line 1,120:
| 1-11/9-3/2-11/8-7/4
| 1-11/9-3/2-11/8-7/4
| jove
| jove
|
|-
|-
| 17
| 17
Line 883: Line 1,126:
| 1-11/9-9/8-11/8-7/4
| 1-11/9-9/8-11/8-7/4
| jove
| jove
|
|-
|-
| 18
| 18
Line 888: Line 1,132:
| 1-3/2-9/8-11/8-7/4
| 1-3/2-9/8-11/8-7/4
| otonal
| otonal
|
|-
|-
| 19
| 19
Line 893: Line 1,138:
| 1-9/8-11/8-14/11-7/4
| 1-9/8-11/8-14/11-7/4
| parahemif
| parahemif
|
|-
|-
| 20
| 20
Line 898: Line 1,144:
| 1-11/9-9/8-14/9-7/4
| 1-11/9-9/8-14/9-7/4
| hemififths
| hemififths
|
|-
|-
| 21
| 21
Line 903: Line 1,150:
| 1-11/9-11/8-14/9-7/4
| 1-11/9-11/8-14/9-7/4
| pele
| pele
|
|-
|-
| 22
| 22
Line 908: Line 1,156:
| 1-9/8-11/8-14/9-7/4
| 1-9/8-11/8-14/9-7/4
| pentacircle
| pentacircle
|
|-
|-
| 23
| 23
Line 913: Line 1,162:
| 1-9/8-14/11-14/9-7/4
| 1-9/8-14/11-14/9-7/4
| pentacircle
| pentacircle
|
|-
|-
| 24
| 24
Line 918: Line 1,168:
| 1-11/8-14/11-14/9-7/4
| 1-11/8-14/11-14/9-7/4
| parahemif
| parahemif
|
|-
|-
| 25
| 25
Line 923: Line 1,174:
| 1-14/11-14/9-7/6-7/4
| 1-14/11-14/9-7/6-7/4
| utonal
| utonal
|
|-
|-
| 26
| 26
Line 928: Line 1,180:
| 1-11/9-9/8-10/7-7/4
| 1-11/9-9/8-10/7-7/4
| jove
| jove
|
|-
|-
| 27
| 27
Line 933: Line 1,186:
| 1-9/8-14/11-10/7-7/4
| 1-9/8-14/11-10/7-7/4
| pele
| pele
|
|-
|-
| 28
| 28
Line 938: Line 1,192:
| 1-11/9-14/9-10/7-7/4
| 1-11/9-14/9-10/7-7/4
| jove
| jove
|
|-
|-
| 29
| 29
Line 943: Line 1,198:
| 1-9/8-14/9-10/7-7/4
| 1-9/8-14/9-10/7-7/4
| hemififths
| hemififths
|
|-
|-
| 30
| 30
Line 948: Line 1,204:
| 1-14/11-14/9-10/7-7/4
| 1-14/11-14/9-10/7-7/4
| jove
| jove
|
|-
|-
| 31
| 31
Line 953: Line 1,210:
| 1-14/11-7/6-10/7-7/4
| 1-14/11-7/6-10/7-7/4
| jove
| jove
|
|-
|-
| 32
| 32
Line 958: Line 1,216:
| 1-14/9-7/6-10/7-7/4
| 1-14/9-7/6-10/7-7/4
| jove
| jove
|
|-
|-
| 33
| 33
Line 963: Line 1,222:
| 1-14/11-14/9-7/6-20/11
| 1-14/11-14/9-7/6-20/11
| swetismic
| swetismic
|
|-
|-
| 34
| 34
Line 968: Line 1,228:
| 1-14/11-14/9-10/7-20/11
| 1-14/11-14/9-10/7-20/11
| jove
| jove
|
|-
|-
| 35
| 35
Line 973: Line 1,234:
| 1-14/11-7/6-10/7-20/11
| 1-14/11-7/6-10/7-20/11
| jove
| jove
|
|-
|-
| 36
| 36
Line 978: Line 1,240:
| 1-14/9-7/6-10/7-20/11
| 1-14/9-7/6-10/7-20/11
| swetismic
| swetismic
|
|-
|-
| 37
| 37
Line 983: Line 1,246:
| 1-11/9-14/9-10/7-10/9
| 1-11/9-14/9-10/7-10/9
| swetismic
| swetismic
|
|-
|-
| 38
| 38
Line 988: Line 1,252:
| 1-14/11-14/9-10/7-10/9
| 1-14/11-14/9-10/7-10/9
| jove
| jove
|
|-
|-
| 39
| 39
Line 993: Line 1,258:
| 1-11/9-14/9-7/4-10/9
| 1-11/9-14/9-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 40
| 40
Line 998: Line 1,264:
| 1-14/11-14/9-7/4-10/9
| 1-14/11-14/9-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 41
| 41
Line 1,003: Line 1,270:
| 1-11/9-10/7-7/4-10/9
| 1-11/9-10/7-7/4-10/9
| jove
| jove
|
|-
|-
| 42
| 42
Line 1,008: Line 1,276:
| 1-14/11-10/7-7/4-10/9
| 1-14/11-10/7-7/4-10/9
| werckismic
| werckismic
|
|-
|-
| 43
| 43
Line 1,013: Line 1,282:
| 1-14/9-10/7-7/4-10/9
| 1-14/9-10/7-7/4-10/9
| jove
| jove
|
|-
|-
| 44
| 44
Line 1,018: Line 1,288:
| 1-14/11-14/9-20/11-10/9
| 1-14/11-14/9-20/11-10/9
| jove
| jove
|
|-
|-
| 45
| 45
Line 1,023: Line 1,294:
| 1-14/11-10/7-20/11-10/9
| 1-14/11-10/7-20/11-10/9
| werckismic
| werckismic
|
|-
|-
| 46
| 46
Line 1,028: Line 1,300:
| 1-14/9-10/7-20/11-10/9
| 1-14/9-10/7-20/11-10/9
| swetismic
| swetismic
|
|-
|-
| 47
| 47
Line 1,033: Line 1,306:
| 1-3/2-11/6-7/6-5/3
| 1-3/2-11/6-7/6-5/3
| otonal
| otonal
|
|-
|-
| 48
| 48
Line 1,038: Line 1,312:
| 1-11/6-7/6-10/7-5/3
| 1-11/6-7/6-10/7-5/3
| swetismic
| swetismic
|
|-
|-
| 49
| 49
Line 1,043: Line 1,318:
| 1-7/6-10/7-20/11-5/3
| 1-7/6-10/7-20/11-5/3
| swetismic
| swetismic
|
|-
|-
| 50
| 50
Line 1,048: Line 1,324:
| 1-10/7-20/11-10/9-5/3
| 1-10/7-20/11-10/9-5/3
| utonal
| utonal
|
|-
|-
| 51
| 51
Line 1,053: Line 1,330:
| 1-3/2-9/8-11/8-5/4
| 1-3/2-9/8-11/8-5/4
| otonal
| otonal
|
|-
|-
| 52
| 52
Line 1,058: Line 1,336:
| 1-3/2-9/8-7/4-5/4
| 1-3/2-9/8-7/4-5/4
| otonal
| otonal
|
|-
|-
| 53
| 53
Line 1,063: Line 1,342:
| 1-3/2-11/8-7/4-5/4
| 1-3/2-11/8-7/4-5/4
| otonal
| otonal
|
|-
|-
| 54
| 54
Line 1,068: Line 1,348:
| 1-9/8-11/8-7/4-5/4
| 1-9/8-11/8-7/4-5/4
| otonal
| otonal
|
|-
|-
| 55
| 55
Line 1,073: Line 1,354:
| 1-9/8-10/7-7/4-5/4
| 1-9/8-10/7-7/4-5/4
| werckismic
| werckismic
|
|-
|-
| 56
| 56
Line 1,078: Line 1,360:
| 1-10/7-7/4-10/9-5/4
| 1-10/7-7/4-10/9-5/4
| werckismic
| werckismic
|
|-
|-
| 57
| 57
Line 1,083: Line 1,366:
| 1-10/7-20/11-10/9-5/4
| 1-10/7-20/11-10/9-5/4
| utonal
| utonal
|
|-
|-
| 58
| 58
Line 1,088: Line 1,372:
| 1-10/7-20/11-5/3-5/4
| 1-10/7-20/11-5/3-5/4
| utonal
| utonal
|
|-
|-
| 59
| 59
Line 1,093: Line 1,378:
| 1-10/7-10/9-5/3-5/4
| 1-10/7-10/9-5/3-5/4
| utonal
| utonal
|
|-
|-
| 60
| 60
Line 1,098: Line 1,384:
| 1-20/11-10/9-5/3-5/4
| 1-20/11-10/9-5/3-5/4
| utonal
| utonal
|
|}
|}


Line 1,107: Line 1,394:
! Transversal
! Transversal
! Type
! Type
!Name
|-
|-
| 1
| 1
Line 1,112: Line 1,400:
| 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
|-
|-
| 2
| 2
Line 1,117: Line 1,406:
| 1-11/9-3/2-9/8-11/8-7/4
| 1-11/9-3/2-9/8-11/8-7/4
| jove
| jove
|
|-
|-
| 3
| 3
Line 1,122: Line 1,412:
| 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
Line 1,127: Line 1,418:
| 1-9/8-11/8-14/11-14/9-7/4
| 1-9/8-11/8-14/11-14/9-7/4
| nofives
| nofives
|
|-
|-
| 5
| 5
Line 1,132: Line 1,424:
| 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 1,137: Line 1,430:
| 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 1,142: Line 1,436:
| 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 1,147: Line 1,442:
| 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 1,152: Line 1,448:
| 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 1,157: Line 1,454:
| 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 1,162: Line 1,460:
| 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 1,167: Line 1,466:
| 1-3/2-9/8-11/8-7/4-5/4
| 1-3/2-9/8-11/8-7/4-5/4
| otonal
| otonal
|
|-
|-
| 13
| 13
Line 1,172: Line 1,472:
| 1-10/7-20/11-10/9-5/3-5/4
| 1-10/7-20/11-10/9-5/3-5/4
| utonal
| utonal
|
|}
|}


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