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! Degree
! Degree
! Cents
! Cents
! Approximate Ratios<ref group="note">{{sg|limit=2.3.5.11.13.17.19&nbsp;[[subgroup]]}}</ref>
! Approximate ratios<ref group="note">{{sg|limit=2.3.5.11.13.17.19&nbsp;[[subgroup]]}}</ref>
! colspan="3" |[[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and d2)
! colspan="3" | [[Ups and downs notation]] ([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and d2)
! colspan="3" |[[SKULO interval names|SKULO notation]] {{nowrap|(U or S {{=}} 1)}}
! colspan="3" | [[SKULO interval names|SKULO notation]] {{nowrap|(U or S {{=}} 1)}}
![[24edo solfege|Solfege]]
! [[24edo solfege|Solfege]]
|-
|-
| 0
| 0
Line 318: Line 318:


In many other edos, 5/4 is downmajor and 11/9 is mid. To agree with this, the term mid is generally preferred over down or downmajor.
In many other edos, 5/4 is downmajor and 11/9 is mid. To agree with this, the term mid is generally preferred over down or downmajor.


=== Interval qualities in color notation ===
=== Interval qualities in color notation ===
Line 505: Line 504:


=== Further discussion of 24edo notation ===
=== Further discussion of 24edo notation ===
*[[24edo interval names and harmonies]]
* [[24edo interval names and harmonies]]
*[[24edo Chord Names]]
* [[24edo Chord Names]]
*[[Ups and Downs Notation#Chords and Chord Progressions]].
* [[Ups and Downs Notation#Chords and Chord Progressions]].


== Approximation to JI ==
== Approximation to JI ==
Line 573: Line 572:
| 3
| 3
| <abbr title="531441/524288">(12 digits)</abbr>
| <abbr title="531441/524288">(12 digits)</abbr>
|{{monzo| -19 12 }}
| {{monzo| -19 12 }}
| 23.46
| 23.46
| Lalawa
| Lalawa
Line 580: Line 579:
| 5
| 5
| [[648/625]]
| [[648/625]]
|{{monzo| 3 4 -4 }}
| {{monzo| 3 4 -4 }}
| 62.57
| 62.57
| Quadgu
| Quadgu
Line 587: Line 586:
| 5
| 5
| <abbr title="262144/253125">(12 digits)</abbr>
| <abbr title="262144/253125">(12 digits)</abbr>
|{{monzo| 18 -4 -5 }}
| {{monzo| 18 -4 -5 }}
| 60.61
| 60.61
| Saquingu
| Saquingu
Line 594: Line 593:
| 5
| 5
| [[128/125]]
| [[128/125]]
|{{monzo| 7 0 -3 }}
| {{monzo| 7 0 -3 }}
| 41.06
| 41.06
| Trigu
| Trigu
Line 601: Line 600:
| 5
| 5
| [[81/80]]
| [[81/80]]
|{{monzo| -4 4 -1 }}
| {{monzo| -4 4 -1 }}
| 21.51
| 21.51
| Gu
| Gu
Line 608: Line 607:
| 5
| 5
| [[2048/2025]]
| [[2048/2025]]
|{{monzo| 11 -4 -2 }}
| {{monzo| 11 -4 -2 }}
| 19.55
| 19.55
| Sagugu
| Sagugu
Line 615: Line 614:
| 5
| 5
| [[67108864/66430125| (16 digits)]]
| [[67108864/66430125| (16 digits)]]
|{{monzo| 26 -12 -3 }}
| {{monzo| 26 -12 -3 }}
| 17.60
| 17.60
| Sasa-trigu
| Sasa-trigu
Line 622: Line 621:
| 5
| 5
| [[32805/32768]]
| [[32805/32768]]
|{{monzo| -15 8 1 }}
| {{monzo| -15 8 1 }}
| 1.95
| 1.95
| Layo
| Layo
Line 629: Line 628:
| 5
| 5
| <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
| <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
|{{monzo| 161 -84 -12 }}
| {{monzo| 161 -84 -12 }}
| 0.02
| 0.02
| Sepbisa-quadbigu
| Sepbisa-quadbigu
Line 636: Line 635:
| 7
| 7
| [[1323/1280]]
| [[1323/1280]]
|{{monzo| -8 3 -1 2 }}
| {{monzo| -8 3 -1 2 }}
| 57.20
| 57.20
| Lazozogu
| Lazozogu
Line 643: Line 642:
| 7
| 7
| [[49/48]]
| [[49/48]]
|{{monzo| -4 -1 0 2 }}
| {{monzo| -4 -1 0 2 }}
| 35.70
| 35.70
| Zozo
| Zozo
Line 650: Line 649:
| 7
| 7
| [[245/243]]
| [[245/243]]
|{{monzo| 0 -5 1 2 }}
| {{monzo| 0 -5 1 2 }}
| 14.19
| 14.19
| Zozoyo
| Zozoyo
Line 657: Line 656:
| 7
| 7
| [[19683/19600]]
| [[19683/19600]]
|{{monzo| -4 9 -2 -2 }}
| {{monzo| -4 9 -2 -2 }}
| 7.32
| 7.32
| Labirugu
| Labirugu
Line 664: Line 663:
| 7
| 7
| [[6144/6125]]
| [[6144/6125]]
|{{monzo| 11 1 -3 -2 }}
| {{monzo| 11 1 -3 -2 }}
| 5.36
| 5.36
| Sarurutrigu
| Sarurutrigu
Line 671: Line 670:
| 11
| 11
| [[56/55]]
| [[56/55]]
|{{monzo| 3 0 -1 1 -1 }}
| {{monzo| 3 0 -1 1 -1 }}
| 31.19
| 31.19
| Luzogu
| Luzogu
Line 678: Line 677:
| 11
| 11
| [[245/242]]
| [[245/242]]
|{{monzo| -1 0 1 2 -2 }}
| {{monzo| -1 0 1 2 -2 }}
| 21.33
| 21.33
| Luluzozoyo
| Luluzozoyo
Line 685: Line 684:
| 11
| 11
| [[121/120]]
| [[121/120]]
|{{monzo| -3 -1 -1 0 2 }}
| {{monzo| -3 -1 -1 0 2 }}
| 14.37
| 14.37
| Lologu
| Lologu
Line 692: Line 691:
| 11
| 11
| [[176/175]]
| [[176/175]]
|{{monzo| 4 0 -2 -1 1 }}
| {{monzo| 4 0 -2 -1 1 }}
| 9.86
| 9.86
| Lorugugu
| Lorugugu
Line 699: Line 698:
| 11
| 11
| [[896/891]]
| [[896/891]]
|{{monzo| 7 -4 0 1 -1 }}
| {{monzo| 7 -4 0 1 -1 }}
| 9.69
| 9.69
| Saluzo
| Saluzo
Line 706: Line 705:
| 11
| 11
| [[243/242]]
| [[243/242]]
|{{monzo| -1 5 0 0 -2 }}
| {{monzo| -1 5 0 0 -2 }}
| 7.14
| 7.14
| Lulu
| Lulu
Line 713: Line 712:
| 11
| 11
| <abbr title="214990848/214358881">(18 digits)</abbr>
| <abbr title="214990848/214358881">(18 digits)</abbr>
|{{monzo| 15 8 0 0 -8 }}
| {{monzo| 15 8 0 0 -8 }}
| 5.10
| 5.10
| Quadbilu
| Quadbilu
Line 720: Line 719:
| 11
| 11
| [[385/384]]
| [[385/384]]
|{{monzo| -7 -1 1 1 1 }}
| {{monzo| -7 -1 1 1 1 }}
| 4.50
| 4.50
| Lozoyo
| Lozoyo
Line 727: Line 726:
| 11
| 11
| <abbr title="117440512/117406179">(18 digits)</abbr>
| <abbr title="117440512/117406179">(18 digits)</abbr>
|{{monzo| 24 -6 0 1 -5 }}
| {{monzo| 24 -6 0 1 -5 }}
| 0.51
| 0.51
| Saquinlu-azo
| Saquinlu-azo
Line 734: Line 733:
| 11
| 11
| [[9801/9800]]
| [[9801/9800]]
|{{monzo| -3 4 -2 -2 2 }}
| {{monzo| -3 4 -2 -2 2 }}
| 0.18
| 0.18
| Bilorugu
| Bilorugu
Line 741: Line 740:
| 13
| 13
| [[66/65]]
| [[66/65]]
|{{monzo| 1 1 -1 0 1 -1 }}
| {{monzo| 1 1 -1 0 1 -1 }}
| 26.43
| 26.43
| Thulogu
| Thulogu
Line 748: Line 747:
| 13
| 13
| [[91/90]]
| [[91/90]]
|{{monzo| -1 -2 -1 1 0 1 }}
| {{monzo| -1 -2 -1 1 0 1 }}
| 19.13
| 19.13
| Thozogu
| Thozogu
Line 755: Line 754:
| 13
| 13
| [[512/507]]
| [[512/507]]
|{{monzo| 9 -1 0 0 0 -2 }}
| {{monzo| 9 -1 0 0 0 -2 }}
| 16.99
| 16.99
| Thuthu
| Thuthu
Line 762: Line 761:
| 13
| 13
| [[105/104]]
| [[105/104]]
|{{monzo| -3 1 1 1 0 -1 }}
| {{monzo| -3 1 1 1 0 -1 }}
| 16.57
| 16.57
| Thuzoyo
| Thuzoyo
Line 769: Line 768:
| 13
| 13
| [[144/143]]
| [[144/143]]
|{{monzo| 4 2 0 0 -1 -1 }}
| {{monzo| 4 2 0 0 -1 -1 }}
| 12.06
| 12.06
| Thulu
| Thulu
Line 776: Line 775:
| 13
| 13
| [[676/675]]
| [[676/675]]
|{{monzo| 2 -3 -2 0 0 2 }}
| {{monzo| 2 -3 -2 0 0 2 }}
| 2.56
| 2.56
| Bithogu
| Bithogu
Line 783: Line 782:
| 13
| 13
| [[4096/4095]]
| [[4096/4095]]
|{{monzo| 12 -2 -1 -1 0 -1 }}
| {{monzo| 12 -2 -1 -1 0 -1 }}
| 0.42
| 0.42
| Sathurugu
| Sathurugu
Line 790: Line 789:
| 17
| 17
| [[51/50]]
| [[51/50]]
|{{monzo| -1 1 -2 0 0 0 1 }}
| {{monzo| -1 1 -2 0 0 0 1 }}
| 34.28
| 34.28
| Sogugu
| Sogugu
Line 797: Line 796:
| 17
| 17
| [[136/135]]
| [[136/135]]
|{{monzo| 3 -3 -1 0 0 0 1 }}
| {{monzo| 3 -3 -1 0 0 0 1 }}
| 12.78
| 12.78
| Sogu
| Sogu
Line 804: Line 803:
| 17
| 17
| [[170/169]]
| [[170/169]]
|{{monzo| 1 0 1 0 0 -2 1 }}
| {{monzo| 1 0 1 0 0 -2 1 }}
| 10.21
| 10.21
| Sothuthuyo
| Sothuthuyo
Line 811: Line 810:
| 17
| 17
| [[221/220]]
| [[221/220]]
|{{monzo| -2 0 -1 0 -1 1 1 }}
| {{monzo| -2 0 -1 0 -1 1 1 }}
| 7.85
| 7.85
| Sotholugu
| Sotholugu
Line 818: Line 817:
| 17
| 17
| [[256/255]]
| [[256/255]]
|{{monzo| 8 -1 -1 0 0 0 -1 }}
| {{monzo| 8 -1 -1 0 0 0 -1 }}
| 6.78
| 6.78
| Sugu
| Sugu
Line 825: Line 824:
| 17
| 17
| [[289/288]]
| [[289/288]]
|{{monzo| -5 -2 0 0 0 0 2 }}
| {{monzo| -5 -2 0 0 0 0 2 }}
| 6.00
| 6.00
| Soso
| Soso
Line 832: Line 831:
| 17
| 17
| [[1225/1224]]
| [[1225/1224]]
|{{monzo| -3 -2 2 2 0 0 -1 }}
| {{monzo| -3 -2 2 2 0 0 -1 }}
| 1.41
| 1.41
| Subizoyo
| Subizoyo
Line 839: Line 838:
| 19
| 19
| [[76/75]]
| [[76/75]]
|{{monzo| 2 -1 -2 0 0 0 0 1 }}
| {{monzo| 2 -1 -2 0 0 0 0 1 }}
| 22.93
| 22.93
| Nogugu
| Nogugu
Line 846: Line 845:
| 19
| 19
| [[77/76]]
| [[77/76]]
|{{monzo| -2 0 0 1 1 0 0 -1 }}
| {{monzo| -2 0 0 1 1 0 0 -1 }}
| 22.63
| 22.63
| Nulozo
| Nulozo
Line 853: Line 852:
| 19
| 19
| [[96/95]]
| [[96/95]]
|{{monzo| 5 1 -1 0 0 0 0 -1 }}
| {{monzo| 5 1 -1 0 0 0 0 -1 }}
| 18.13
| 18.13
| Nugu
| Nugu
Line 860: Line 859:
| 19
| 19
| [[133/132]]
| [[133/132]]
|{{monzo| -2 -1 0 1 -1 0 0 1 }}
| {{monzo| -2 -1 0 1 -1 0 0 1 }}
| 13.07
| 13.07
| Noluzo
| Noluzo
Line 867: Line 866:
| 19
| 19
| [[153/152]]
| [[153/152]]
|{{monzo| -3 2 0 0 0 0 1 -1}}
| {{monzo| -3 2 0 0 0 0 1 -1}}
| 11.35
| 11.35
| Nuso
| Nuso
Line 874: Line 873:
| 19
| 19
| [[171/170]]
| [[171/170]]
|{{monzo| -1 2 -1 0 0 0 -1 1 }}
| {{monzo| -1 2 -1 0 0 0 -1 1 }}
| 10.15
| 10.15
| Nosugu
| Nosugu
Line 881: Line 880:
| 19
| 19
| [[209/208]]
| [[209/208]]
|{{monzo| -4 0 0 0 1 -1 0 1 }}
| {{monzo| -4 0 0 0 1 -1 0 1 }}
| 8.30
| 8.30
| Nothulo
| Nothulo
Line 888: Line 887:
| 19
| 19
| [[324/323]]
| [[324/323]]
|{{monzo| 2 4 0 0 0 0 -1 -1 }}
| {{monzo| 2 4 0 0 0 0 -1 -1 }}
| 5.35
| 5.35
| Nusu
| Nusu
Line 895: Line 894:
| 19
| 19
| [[361/360]]
| [[361/360]]
|{{monzo| -3 -2 -1 0 0 0 0 2 }}
| {{monzo| -3 -2 -1 0 0 0 0 2 }}
| 4.80
| 4.80
| Nonogu
| Nonogu
Line 902: Line 901:
| 19
| 19
| [[5776/5775]]
| [[5776/5775]]
|{{monzo| 4 -1 -2 -1 -1 0 0 2 }}
| {{monzo| 4 -1 -2 -1 -1 0 0 2 }}
| 0.30
| 0.30
| Nonolurugugu
| Nonolurugugu
Line 994: Line 993:
|-
|-
| 6:7:9, 26:30:39
| 6:7:9, 26:30:39
|{{dash|0, 5, 14|hair}}
| {{dash|0, 5, 14|hair}}
|{{dash|C, E{{sesquiflat2}}, G|hair}}
| {{dash|C, E{{sesquiflat2}}, G|hair}}
| Cvm<br>Cm({{demiflat2}}3), Cmin({{demiflat2}}3)
| Cvm<br>Cm({{demiflat2}}3), Cmin({{demiflat2}}3)
| C subminor<br>C minor semiflat-three
| C subminor<br>C minor semiflat-three
|-
|-
| 10:12:15
| 10:12:15
|{{dash|0, 6, 14|hair}}
| {{dash|0, 6, 14|hair}}
|{{dash|C, E♭, G|hair}}
| {{dash|C, E♭, G|hair}}
| Cm, Cmin
| Cm, Cmin
| C minor
| C minor
Line 1,007: Line 1,006:
| 18:22:27, 22:27:33
| 18:22:27, 22:27:33
| 0-7-14
| 0-7-14
|{{dash|C, E{{demiflat2}}, G|hair}}
| {{dash|C, E{{demiflat2}}, G|hair}}
| C~, Cneu
| C~, Cneu
| C neutral
| C neutral
|-
|-
| 4:5:6
| 4:5:6
|{{dash|0, 8, 14|hair}}
| {{dash|0, 8, 14|hair}}
|{{dash|C, E, G|hair}}
| {{dash|C, E, G|hair}}
| C, Cmaj
| C, Cmaj
| C, C major
| C, C major
|-
|-
| 14:18:21, 10:13:15
| 14:18:21, 10:13:15
|{{dash|0, 9, 14|hair}}
| {{dash|0, 9, 14|hair}}
|{{dash|C, E{{demisharp2}}, G|hair}}
| {{dash|C, E{{demisharp2}}, G|hair}}
| C^<br>C({{demisharp2}}3), Cmaj({{demisharp2}}3)
| C^<br>C({{demisharp2}}3), Cmaj({{demisharp2}}3)
| C supermajor<br>C major semisharp-three
| C supermajor<br>C major semisharp-three
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