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24edo: Difference between revisions

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Xenwolf (talk | contribs)
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→Commas: simplified wiki markup
Line 719: Line 719:
The tendo chord can also be spelled 1 ^3 5 ^6. Due to convenience, the names Arto and tendo have been changed to Ultra and Infra.
The tendo chord can also be spelled 1 ^3 5 ^6. Due to convenience, the names Arto and tendo have been changed to Ultra and Infra.


=Commas=
= Commas =
 
24 EDO tempers out the following [[commas]]. (Note: This assumes val < 24 38 56 67 83 89 |.)
24 EDO tempers out the following [[commas]]. (Note: This assumes val < 24 38 56 67 83 89 |.)


{| class="wikitable" style="text-align:center;"
{| class="wikitable center-1 right-3"
|-
|-
! | [[Ratio]]
! [[Ratio]]
! | [[Monzo]]
! [[Monzo]]
! | [[Cents]]
! [[Cents]]
![[Color notation/Temperament Names|Color Name]]
! [[Color name]]
! | Name 1
! Name 1
! | Name 2
! Name 2
! | Name 3
! Name 3
|-
|-
| style="text-align:center;" | 531441/524288
| 531441/524288
| style="text-align:center;" |<nowiki> | -19 12 </nowiki>&gt;
| <nowiki> | -19 12 </nowiki>&gt;
| style="text-align:center;" | 23.46
| 23.46
|Lalawa
| Lalawa
| style="text-align:center;" | Pythagorean Comma
| Pythagorean Comma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 648/625
| 648/625
| style="text-align:center;" |<nowiki> | 3 4 -4 </nowiki>&gt;
| <nowiki> | 3 4 -4 </nowiki>&gt;
| style="text-align:center;" | 62.57
| 62.57
|Quadgu
| Quadgu
| style="text-align:center;" | Major Diesis
| Major Diesis
| style="text-align:center;" | Diminished Comma
| Diminished Comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 128/125
| 128/125
| style="text-align:center;" |<nowiki> | 7 0 -3 </nowiki>&gt;
| <nowiki> | 7 0 -3 </nowiki>&gt;
| style="text-align:center;" | 41.06
| 41.06
|Trigu
| Trigu
| style="text-align:center;" | Diesis
| Diesis
| style="text-align:center;" | Augmented Comma
| Augmented Comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 81/80
| 81/80
| style="text-align:center;" |<nowiki> | -4 4 -1 </nowiki>&gt;
| <nowiki> | -4 4 -1 </nowiki>&gt;
| style="text-align:center;" | 21.51
| 21.51
|Gu
| Gu
| style="text-align:center;" | Syntonic Comma
| Syntonic Comma
| style="text-align:center;" | Didymos Comma
| Didymos Comma
| style="text-align:center;" | Meantone Comma
| Meantone Comma
|-
|-
| style="text-align:center;" | 2048/2025
| 2048/2025
| style="text-align:center;" |<nowiki> | 11 -4 -2 </nowiki>&gt;
| <nowiki> | 11 -4 -2 </nowiki>&gt;
| style="text-align:center;" | 19.55
| 19.55
|Sagugu
| Sagugu
| style="text-align:center;" | Diaschisma
| Diaschisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 5201701/5149091
| 5201701/5149091
| style="text-align:center;" |<nowiki> | 26 -12 -3 </nowiki>&gt;
| <nowiki> | 26 -12 -3 </nowiki>&gt;
| style="text-align:center;" | 17.60
| 17.60
|Sasa-trigu
| Sasa-trigu
| style="text-align:center;" | Misty Comma
| Misty Comma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 32805/32768
| 32805/32768
| style="text-align:center;" |<nowiki> | -15 8 1 </nowiki>&gt;
| <nowiki> | -15 8 1 </nowiki>&gt;
| style="text-align:center;" | 1.95
| 1.95
|Layo
| Layo
| style="text-align:center;" | Schisma
| Schisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 1465155/1465142
| 1465155/1465142
| style="text-align:center;" |<nowiki> | 161 -84 -12 </nowiki>&gt;
| <nowiki> | 161 -84 -12 </nowiki>&gt;
| style="text-align:center;" | 0.02
| 0.02
|Sepbisa-quadbigu
| Sepbisa-quadbigu
| style="text-align:center;" | Atom
| Atom
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 49/48
| 49/48
| style="text-align:center;" |<nowiki> | -4 -1 0 2 </nowiki>&gt;
| <nowiki> | -4 -1 0 2 </nowiki>&gt;
| style="text-align:center;" | 35.70
| 35.70
|Zozo
| Zozo
| style="text-align:center;" | Slendro Diesis
| Slendro Diesis
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 245/243
| 245/243
| style="text-align:center;" |<nowiki> | 0 -5 1 2 </nowiki>&gt;
| <nowiki> | 0 -5 1 2 </nowiki>&gt;
| style="text-align:center;" | 14.19
| 14.19
|Zozoyo
| Zozoyo
| style="text-align:center;" | Sensamagic
| Sensamagic
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 19683/19600
| 19683/19600
| style="text-align:center;" |<nowiki> | -4 9 -2 -2 </nowiki>&gt;
| <nowiki> | -4 9 -2 -2 </nowiki>&gt;
| style="text-align:center;" | 7.32
| 7.32
|Labirugu
| Labirugu
| style="text-align:center;" | Cataharry
| Cataharry
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 6144/6125
| 6144/6125
| style="text-align:center;" |<nowiki> | 11 1 -3 -2 </nowiki>&gt;
| <nowiki> | 11 1 -3 -2 </nowiki>&gt;
| style="text-align:center;" | 5.36
| 5.36
|Sarurutrigu
| Sarurutrigu
| style="text-align:center;" | Porwell
| Porwell
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 121/120
| 121/120
| style="text-align:center;" |<nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| <nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| style="text-align:center;" | 14.37
| 14.37
|Lologu
| Lologu
| style="text-align:center;" | Biyatisma
| Biyatisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 176/175
| 176/175
| style="text-align:center;" |<nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| <nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| style="text-align:center;" | 9.86
| 9.86
|Lorugugu
| Lorugugu
| style="text-align:center;" | Valinorsma
| Valinorsma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 896/891
| 896/891
| style="text-align:center;" |<nowiki> | 7 -4 0 1 -1 </nowiki>&gt;
| <nowiki> | 7 -4 0 1 -1 </nowiki>&gt;
| style="text-align:center;" | 9.69
| 9.69
|Saluzo
| Saluzo
| style="text-align:center;" | Pentacircle
| Pentacircle
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 243/242
| 243/242
| style="text-align:center;" |<nowiki> | -1 5 0 0 -2 </nowiki>&gt;
| <nowiki> | -1 5 0 0 -2 </nowiki>&gt;
| style="text-align:center;" | 7.14
| 7.14
|Lulu
| Lulu
| style="text-align:center;" | Rastma
| Rastma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 385/384
| 385/384
| style="text-align:center;" |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| <nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| style="text-align:center;" | 4.50
| 4.50
|Lozoyo
| Lozoyo
| style="text-align:center;" | Keenanisma
| Keenanisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 9801/9800
| 9801/9800
| style="text-align:center;" |<nowiki> | -3 4 -2 -2 2 </nowiki>&gt;
| <nowiki> | -3 4 -2 -2 2 </nowiki>&gt;
| style="text-align:center;" | 0.18
| 0.18
|Bilorugu
| Bilorugu
| style="text-align:center;" | Kalisma
| Kalisma
| style="text-align:center;" | Gauss' Comma
| Gauss' Comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 91/90
| 91/90
| style="text-align:center;" |<nowiki> | -1 -2 -1 1 0 1 </nowiki>&gt;
| <nowiki> | -1 -2 -1 1 0 1 </nowiki>&gt;
| style="text-align:center;" | 19.13
| 19.13
|Thozogu
| Thozogu
| style="text-align:center;" | Superleap
| Superleap
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 676/675
| 676/675
| style="text-align:center;" |<nowiki> | 2 -3 -2 0 0 2 </nowiki>&gt;
| <nowiki> | 2 -3 -2 0 0 2 </nowiki>&gt;
| style="text-align:center;" | 2.56
| 2.56
|Bithogu
| Bithogu
| style="text-align:center;" | Parizeksma
| Parizeksma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|}
|}


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