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Chain-of-fifths notation: Difference between revisions

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|-
|-
! Style \ Offset
! Style \ Offset
! -2
! −2
! -1½
! −1½
! -1
! −1
! -½
! −½
! ±0
! ±0
! +½
! +½
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| Xen Wiki [[:Category:character templates|character templates]]
| Xen Wiki [[:Category:character templates|character templates]]
| <nowiki>{{</nowiki>[[Template:flat2|flat2]]}}
| <nowiki>{{</nowiki>[[Template:flat2|flat2]]}}
| <nowiki>{{</nowiki>[[Template:sesquiflat|sesquiflat]]}}
| <nowiki>{{</nowiki>[[Template:sesquiflat|sesquiflat]]}}<br><nowiki>{{</nowiki>[[Template:sesquiflat2|sesquiflat2]]}}
| <nowiki>{{</nowiki>[[Template:flat|flat]]}}
| <nowiki>{{</nowiki>[[Template:flat|flat]]}}
| <nowiki>{{</nowiki>[[Template:demiflat|demiflat]]}}
| <nowiki>{{</nowiki>[[Template:demiflat|demiflat]]}}<br><nowiki>{{</nowiki>[[Template:demiflat2|demiflat2]]}}
| <nowiki>{{</nowiki>[[Template:natural|natural]]}}
| <nowiki>{{</nowiki>[[Template:natural|natural]]}}
| <nowiki>{{</nowiki>[[Template:demisharp|demisharp]]}}
| <nowiki>{{</nowiki>[[Template:demisharp|demisharp]]}}<br><nowiki>{{</nowiki>[[Template:demisharp2|demisharp2]]}}
| <nowiki>{{</nowiki>[[Template:sharp|sharp]]}}
| <nowiki>{{</nowiki>[[Template:sharp|sharp]]}}
| <nowiki>{{</nowiki>[[Template:sesquisharp|sesquisharp]]}}
| <nowiki>{{</nowiki>[[Template:sesquisharp|sesquisharp]]}}<br><nowiki>{{</nowiki>[[Template:sesquisharp2|sesquisharp2]]}}
| <nowiki>{{</nowiki>[[Template:sharp2|sharp2]]}}
| <nowiki>{{</nowiki>[[Template:sharp2|sharp2]]}}
|}
|}
Line 93: Line 93:
|-
|-
! Style \ Offset
! Style \ Offset
! -2
! &minus;2
! -1½
! &minus;1½
! -1
! &minus;1
! -½
! &minus;½
! ±0
! ±0
! +½
! +½
Line 153: Line 153:
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
|+Diatonic edos fit for chain-of-fifths notation
|+ Diatonic edos fit for chain-of-fifths notation
|-
|-
! Edo
! Edo
Line 162: Line 162:
! Augmented <br> 1sn
! Augmented <br> 1sn
|-
|-
![[12edo|12]]
! [[12edo| 12]]
|7||-2.0 ( -2.0%) ||2||1||1
| 7 || &minus;2.0 ( -2.0%) || 2 || 1 || 1
|-
|-
![[17edo|17]]
! [[17edo| 17]]
|10||+3.9 ( +5.6%) ||3||1||2
| 10 || +3.9 ( +5.6%) || 3 || 1 || 2
|-
|-
![[19edo|19]]
! [[19edo| 19]]
|11||-7.2 (-11.4%) ||3||2||1
| 11 || &minus;7.2 (&minus;11.4%) || 3 || 2 || 1
|-
|-
![[22edo|22]]
! [[22edo| 22]]
|13||+7.1 (+13.1%) ||4||1||3
| 13 || +7.1 (+13.1%) || 4 || 1 || 3
|-
|-
![[26edo|26]]
! [[26edo| 26]]
|15||-9.6 (-20.9%) ||4||3||1
| 15 || &minus;9.6 (&minus;20.9%) || 4 || 3 || 1
|-
|-
![[27edo|27]]
! [[27edo| 27]]
|16||+9.2 (+20.6%)||5||1||4
| 16 || +9.2 (+20.6%) || 5 || 1 || 4
|-
|-
![[29edo|29]]
! [[29edo| 29]]
|17||+1.5 ( +3.6%)||5||2||3
| 17 || +1.5 ( +3.6%) || 5 || 2 || 3
|-
|-
![[31edo|31]]
! [[31edo| 31]]
|18||-5.2 (-13.4%)||5||3||2
| 18 || &minus;5.2 (&minus;13.4%) || 5 || 3 || 2
|-
|-
![[32edo|32]]
! [[32edo| 32]]
|19||+10.5 (+28.1%) ||6||1||5
| 19 || +10.5 (+28.1%) || 6 || 1 || 5
|-
|-
![[33edo|33]]
! [[33edo| 33]]
|19||-11.0 (-30.4%)||5||4||1
| 19 || &minus;11.0 (&minus;30.4%) || 5 || 4 || 1
|-
|-
![[37edo|37]]
! [[37edo| 37]]
|22||+11.6 (+35.6%) ||7||1||6
| 22 || +11.6 (+35.6%) || 7 || 1 || 6
|-
|-
![[39edo|39]]
! [[39edo| 39]]
|23||+5.7 (+18.6%)||7||2||5
| 23 || +5.7 (+18.6%) || 7 || 2 || 5
|-
|-
![[40edo|40]]
! [[40edo| 40]]
|23||-12.0 (-39.9%) ||6||5||1
| 23 || &minus;12.0 (&minus;39.9%) || 6 || 5 || 1
|-
|-
![[41edo|41]]
! [[41edo| 41]]
|24||+0.5 ( +1.7%) ||7||3||4
| 24 || +0.5 ( +1.7%) || 7 || 3 || 4
|-
|-
![[42edo|42]]
! [[42edo| 42]]
|25||+12.3 (+43.2%) ||8||1||7
| 25 || +12.3 (+43.2%) || 8 || 1 || 7
|-
|-
![[43edo|43]]
! [[43edo| 43]]
|25||-4.3 (-15.3%)||7||4||3
| 25 || &minus;4.3 (&minus;15.3%) || 7 || 4 || 3
|-
|-
![[45edo|45]]
! [[45edo| 45]]
|26||-8.6 (-32.3%) ||7||5||2
| 26 || &minus;8.6 (&minus;32.3%) || 7 || 5 || 2
|-
|-
![[46edo|46]]
! [[46edo| 46]]
|27||+2.4 ( +9.2%) ||8||3||5
| 27 || +2.4 ( +9.2%) || 8 || 3 || 5
|-
|-
![[47edo|47]]
! [[47edo| 47]]
|27||-12.6 (-49.3%) ||7||6||1
| 27 || &minus;12.6 (&minus;49.3%) || 7 || 6 || 1
|-
|-
![[49edo|49]]
! [[49edo| 49]]
|29||+8.2 (+33.7%) ||9||2||7
| 29 || +8.2 (+33.7%) || 9 || 2 || 7
|-
|-
![[50edo|50]]
! [[50edo| 50]]
|29||-6.0 (-24.8%) ||8||5||3
| 29 || &minus;6.0 (&minus;24.8%) || 8 || 5 || 3
|-
|-
![[53edo|53]]
! [[53edo| 53]]
|31||-0.1 ( -0.3%) ||9||4||5
| 31 || &minus;0.1 ( -0.3%) || 9 || 4 || 5
|-
|-
![[55edo|55]]
! [[55edo| 55]]
|32||-3.8 (-17.3%) ||9||5||4
| 32 || &minus;3.8 (&minus;17.3%) || 9 || 5 || 4
|-
|-
![[56edo|56]]
! [[56edo| 56]]
|33||+5.2 (+24.2%) ||10||3||7
| 33 || +5.2 (+24.2%) || 10 || 3 || 7
|-
|-
![[59edo|59]]
! [[59edo| 59]]
|35||+9.9 (+48.7%) ||11||2||9
| 35 || +9.9 (+48.7%) || 11 || 2 || 9
|-
|-
![[61edo|61]]
! [[61edo| 61]]
|36||+6.2 (+31.7%) ||11||3||8
| 36 || +6.2 (+31.7%) || 11 || 3 || 8
|-
|-
![[63edo|63]]
! [[63edo| 63]]
|37||+2.8 (+14.7%) ||11||4||7
| 37 || +2.8 (+14.7%) || 11 || 4 || 7
|-
|-
![[64edo|64]]
! [[64edo| 64]]
|37||-8.2 (-43.8%) ||10||7||3
| 37 || &minus;8.2 (&minus;43.8%) || 10 || 7 || 3
|-
|-
![[65edo|65]]
! [[65edo| 65]]
|38||-0.4 ( -2.3%) ||11||5||6
| 38 || &minus;0.4 ( -2.3%) || 11 || 5 || 6
|-
|-
![[67edo|67]]
! [[67edo| 67]]
|39||-3.4 (-19.2%) ||11||6||5
| 39 || &minus;3.4 (&minus;19.2%) || 11 || 6 || 5
|-
|-
![[69edo|69]]
! [[69edo| 69]]
|40||-6.3 (-36.2%) ||11||7||4
| 40 || &minus;6.3 (&minus;36.2%) || 11 || 7 || 4
|-
|-
![[70edo|70]]
! [[70edo| 70]]
|41||+0.9 ( +5.3%) ||12||5||7
| 41 || +0.9 ( +5.3%) || 12 || 5 || 7
|-
|-
![[71edo|71]]
! [[71edo| 71]]
|42||+7.9 (+46.8%) ||13||3||10
| 42 || +7.9 (+46.8%) || 13 || 3 || 10
|-
|-
![[73edo|73]]
! [[73edo| 73]]
|43||+4.9 (+29.8%) ||13||4||9
| 43 || +4.9 (+29.8%) || 13 || 4 || 9
|-
|-
![[74edo|74]]
! [[74edo| 74]]
|43||-4.7 (-28.7%) ||12||7||5
| 43 || &minus;4.7 (&minus;28.7%) || 12 || 7 || 5
|-
|-
![[75edo|75]]
! [[75edo| 75]]
|44||+2.0 (+12.8%) ||13||5||8
| 44 || +2.0 (+12.8%) || 13 || 5 || 8
|-
|-
![[77edo|77]]
! [[77edo| 77]]
|45||-0.7 ( -4.2%) ||13||6||7
| 45 || &minus;0.7 ( -4.2%) || 13 || 6 || 7
|-
|-
![[79edo|79]]
! [[79edo| 79]]
|46||-3.2 (-21.2%) ||13||7||6
| 46 || &minus;3.2 (&minus;21.2%) || 13 || 7 || 6
|-
|-
![[80edo|80]]
! [[80edo| 80]]
|47||+3.0 (+20.3%) ||14||5||9
| 47 || +3.0 (+20.3%) || 14 || 5 || 9
|-
|-
![[81edo|81]]
! [[81edo| 81]]
|47||-5.7 (-38.2%) ||13||8||5
| 47 || &minus;5.7 (&minus;38.2%) || 13 || 8 || 5
|-
|-
![[83edo|83]]
! [[83edo| 83]]
|49||+6.5 (+44.8%) ||15||4||11
| 49 || +6.5 (+44.8%) || 15 || 4 || 11
|-
|-
![[88edo|88]]
! [[88edo| 88]]
|51||-6.5 (-47.7%) ||14||9||5
| 51 || &minus;6.5 (&minus;47.7%) || 14 || 9 || 5
|-
|-
![[89edo|89]]
! [[89edo| 89]]
|52||-0.8 ( -6.2%) ||15||7||8
| 52 || &minus;0.8 ( -6.2%) || 15 || 7 || 8
|-
|-
![[90edo|90]]
! [[90edo| 90]]
|53||+4.7 (+35.3%) ||16||5||11
| 53 || +4.7 (+35.3%) || 16 || 5 || 11
|-
|-
![[91edo|91]]
! [[91edo| 91]]
|53||-3.1 (-23.2%) ||15||8||7
| 53 || &minus;3.1 (&minus;23.2%) || 15 || 8 || 7
|-
|-
![[94edo|94]]
! [[94edo| 94]]
|55||+0.2 ( +1.4%) ||16||7||9
| 55 || +0.2 ( +1.4%) || 16 || 7 || 9
|-
|-
![[95edo|95]]
! [[95edo| 95]]
|56||+5.4 (+42.9%) ||17||5||12
| 56 || +5.4 (+42.9%) || 17 || 5 || 12
|-
|-
![[97edo|97]]
! [[97edo| 97]]
|57||+3.2 (+25.9%)||17||6|| 11
| 57 || +3.2 (+25.9%) || 17 || 6 || 11
|-
|-
![[98edo|98]]
! [[98edo| 98]]
|57||-4.0 (-32.6%)||16||9||7
| 57 || &minus;4.0 (&minus;32.6%) || 16 || 9 || 7
|-
|-
![[99edo|99]]
! [[99edo| 99]]
|58||+1.1 ( +8.9%)||17||7||10
| 58 || +1.1 ( +8.9%) || 17 || 7 || 10
|}
|}


{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
|+Diatonic edos fit for neutral chain-of-fifths notation
|+ Diatonic edos fit for neutral chain-of-fifths notation
|-
|-
! Edo
! Edo
Line 324: Line 324:
! Augmented <br> 1sn
! Augmented <br> 1sn
|-
|-
![[17edo|17]]
! [[17edo| 17]]
|10 ||+3.9 ( +5.6%)||3||1||2
| 10 || +3.9 ( +5.6%) || 3 || 1 || 2
|-
|-
![[24edo|24]]
! [[24edo| 24]]
|14 ||-4.0 (-4.0%)||4||2||2
| 14 || &minus;4.0 (&minus;4.0%) || 4 || 2 || 2
|-
|-
![[27edo|27]]
! [[27edo| 27]]
| 16 ||+9.2 (+20.6%)||5||1||4
| 16 || +9.2 (+20.6%) || 5 || 1 || 4
|-
|-
![[31edo|31]]
! [[31edo| 31]]
|18 ||-5.2 (-13.4%)||5||3||2
| 18 || &minus;5.2 (&minus;13.4%) || 5 || 3 || 2
|-
|-
![[37edo|37]]
! [[37edo| 37]]
|22 ||+11.6 (+35.6%)||7||1||6
| 22 || +11.6 (+35.6%) || 7 || 1 || 6
|-
|-
![[38edo|38]]
! [[38edo| 38]]
|22 ||-7.2 (-22.9%)||6||4 ||2
| 22 || &minus;7.2 (&minus;22.9%) || 6 || 4 || 2
|-
|-
![[41edo|41]]
! [[41edo| 41]]
| 24 ||+0.5 ( +1.7%)||7||3 ||4
| 24 || +0.5 ( +1.7%) || 7 || 3 || 4
|-
|-
![[44edo|44]]
! [[44edo| 44]]
| 26 ||+7.1 (+26.2%)||8||2 ||6
| 26 || +7.1 (+26.2%) || 8 || 2 || 6
|-
|-
![[45edo|45]]
! [[45edo| 45]]
| 26 ||-8.6 (-32.3%)||7||5 ||2
| 26 || &minus;8.6 (&minus;32.3%) || 7 || 5 || 2
|-
|-
![[52edo|52]]
! [[52edo| 52]]
| 30 ||-9.6 (-41.8%)||8||6 ||2
| 30 || &minus;9.6 (&minus;41.8%) || 8 || 6 || 2
|-
|-
![[55edo|55]]
! [[55edo| 55]]
| 32 ||-3.8 (-17.3%)||9||5 ||4
| 32 || &minus;3.8 (&minus;17.3%) || 9 || 5 || 4
|-
|-
![[58edo|58]]
! [[58edo| 58]]
| 34 ||+1.5 ( +3.6%)||10||4 ||6
| 34 || +1.5 ( +3.6%) || 10 || 4 || 6
|-
|-
![[61edo|61]]
! [[61edo| 61]]
| 36 ||+6.2 (+31.7%)||11||3 ||8
| 36 || +6.2 (+31.7%) || 11 || 3 || 8
|-
|-
![[65edo|65]]
! [[65edo| 65]]
| 38 ||-0.4 ( -2.3%)||11||5 ||6
| 38 || &minus;0.4 ( -2.3%) || 11 || 5 || 6
|-
|-
![[69edo|69]]
! [[69edo| 69]]
| 40 ||-6.3 (-36.2%)||11||7 ||4
| 40 || &minus;6.3 (&minus;36.2%) || 11 || 7 || 4
|-
|-
![[71edo|71]]
! [[71edo| 71]]
| 42 ||+7.9 (+46.8%)||13||3 ||10
| 42 || +7.9 (+46.8%) || 13 || 3 || 10
|-
|-
![[75edo|75]]
! [[75edo| 75]]
| 44 ||+2.0 (+12.8%)||13||5 ||8
| 44 || +2.0 (+12.8%) || 13 || 5 || 8
|-
|-
![[78edo|78]]
! [[78edo| 78]]
| 46 ||+5.7 (+37.3%)||14||4 ||10
| 46 || +5.7 (+37.3%) || 14 || 4 || 10
|-
|-
![[79edo|79]]
! [[79edo| 79]]
| 46 ||-3.2 (-21.2%)||13||7 ||6
| 46 || &minus;3.2 (&minus;21.2%) || 13 || 7 || 6
|-
|-
![[86edo|86]]
! [[86edo| 86]]
|50||-4.3 (-30.7%)||14 || 8 ||6
| 50 || &minus;4.3 (&minus;30.7%) || 14 || 8 || 6
|-
|-
![[89edo|89]]
! [[89edo| 89]]
|52||-0.8 ( -6.2%)||15 || 7 ||8
| 52 || &minus;0.8 ( -6.2%) || 15 || 7 || 8
|-
|-
![[92edo|92]]
! [[92edo| 92]]
|54||+2.4 ( +18.3%)|| 16||6||10
| 54 || +2.4 ( +18.3%) || 16 || 6 || 10
|-
|-
![[95edo|95]]
! [[95edo| 95]]
|56||+5.4 (+42.9%)||17||5||12
| 56 || +5.4 (+42.9%) || 17 || 5 || 12
|-
|-
![[99edo|99]]
! [[99edo| 99]]
| 58|| +1.1 ( +8.9%)||17 ||7||10
| 58 || +1.1 ( +8.9%) || 17 || 7 || 10
|}
|}


Line 400: Line 400:
* [[Syntonic-rastmic subchroma notation]] – built on neutral chain-of-fifths notation
* [[Syntonic-rastmic subchroma notation]] – built on neutral chain-of-fifths notation
* [[Ups and downs notation]] – built on chain-of-fifths notation
* [[Ups and downs notation]] – built on chain-of-fifths notation
** Neutral ups and downs notation (→ [[Alternative symbols for ups and downs notation]])
** Neutral ups and downs notation (&rarr; [[Alternative symbols for ups and downs notation]])
* [[Diamond-mos notation]] – built on neutral chain-of-fifths notation
* [[Diamond-mos notation]] – built on neutral chain-of-fifths notation
* [[Sagittal notation]] (''evo flavor'') – built on chain-of-fifths notation or neutral chain-of-fifths notation
* [[Sagittal notation]] (''evo flavor'') – built on chain-of-fifths notation or neutral chain-of-fifths notation
Retrieved from "https://en.xen.wiki/w/Chain-of-fifths_notation"