24edo: Difference between revisions

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Commas: rework
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= 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]]. This assumes val {{val| 24 38 56 67 83 89 }}.  


{| class="wikitable center-1 right-3"
{| class="commatable wikitable center-2 right-4 center-5"
|-
|-
! [[Harmonic limit|Prime<br>Limit]]
! [[Ratio]]
! [[Ratio]]
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cent]]s
! [[Color name]]
! [[Color name]]
! Name 1
! Name(s)
! Name 2
! Name 3
|-
|-
| 531441/524288
| 3
| <nowiki> | -19 12 </nowiki>&gt;
| [[531441/524288|(12 digits)]]
| {{Monzo| -19 12 }}
| 23.46
| 23.46
| Lalawa
| Lalawa
| Pythagorean Comma
| [[Pythagorean comma]]
|
|
|-
|-
| 648/625
| 5
| <nowiki> | 3 4 -4 </nowiki>&gt;
| [[648/625]]
| {{Monzo| 3 4 -4 }}
| 62.57
| 62.57
| Quadgu
| Quadgu
| Major Diesis
| Major diesis, diminished domma
| Diminished Comma
|
|-
|-
| 128/125
| 5
| <nowiki> | 7 0 -3 </nowiki>&gt;
| [[128/125]]
| {{Monzo| 7 0 -3 }}
| 41.06
| 41.06
| Trigu
| Trigu
| Diesis
| Diesis, augmented comma
| Augmented Comma
|
|-
|-
| 81/80
| 5
| <nowiki> | -4 4 -1 </nowiki>&gt;
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| 21.51
| 21.51
| Gu
| Gu
| Syntonic Comma
| Syntonic comma, Didymus comma, meantone comma
| Didymos Comma
| Meantone Comma
|-
|-
| 2048/2025
| 5
| <nowiki> | 11 -4 -2 </nowiki>&gt;
| [[2048/2025]]
| {{Monzo| 11 -4 -2 }}
| 19.55
| 19.55
| Sagugu
| Sagugu
| Diaschisma
| Diaschisma
|
|
|-
|-
| 5201701/5149091
| 5
| <nowiki> | 26 -12 -3 </nowiki>&gt;
| [[67108864/66430125|(16 digits)]]
| {{Monzo| 26 -12 -3 }}
| 17.60
| 17.60
| Sasa-trigu
| Sasa-trigu
| Misty Comma
| [[Misty comma]]
|
|
|-
|-
| 32805/32768
| 5
| <nowiki> | -15 8 1 </nowiki>&gt;
| [[32805/32768]]
| {{Monzo| -15 8 1 }}
| 1.95
| 1.95
| Layo
| Layo
| Schisma
| Schisma
|
|
|-
|-
| 1465155/1465142
| 5
| <nowiki> | 161 -84 -12 </nowiki>&gt;
| <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
| {{Monzo| 161 -84 -12 }}
| 0.02
| 0.02
| Sepbisa-quadbigu
| Sepbisa-quadbigu
| Atom
| [[Atom]]
|
|
|-
|-
| 49/48
| 7
| <nowiki> | -4 -1 0 2 </nowiki>&gt;
| [[49/48]]
| {{Monzo| -4 -1 0 2 }}
| 35.70
| 35.70
| Zozo
| Zozo
| Slendro Diesis
| Slendro diesis
|
|
|-
|-
| 245/243
| 7
| <nowiki> | 0 -5 1 2 </nowiki>&gt;
| [[245/243]]
| {{Monzo| 0 -5 1 2 }}
| 14.19
| 14.19
| Zozoyo
| Zozoyo
| Sensamagic
| Sensamagic
|
|
|-
|-
| 19683/19600
| 7
| <nowiki> | -4 9 -2 -2 </nowiki>&gt;
| [[19683/19600]]
| {{Monzo| -4 9 -2 -2 }}
| 7.32
| 7.32
| Labirugu
| Labirugu
| Cataharry
| Cataharry
|
|
|-
|-
| 6144/6125
| 7
| <nowiki> | 11 1 -3 -2 </nowiki>&gt;
| [[6144/6125]]
| {{Monzo| 11 1 -3 -2 }}
| 5.36
| 5.36
| Sarurutrigu
| Sarurutrigu
| Porwell
| Porwell
|
|
|-
|-
| 121/120
| 11
| <nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| [[121/120]]
| {{Monzo| -3 -1 -1 0 2 }}
| 14.37
| 14.37
| Lologu
| Lologu
| Biyatisma
| Biyatisma
|
|
|-
|-
| 176/175
| 11
| <nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| [[176/175]]
| {{Monzo| 4 0 -2 -1 1 }}
| 9.86
| 9.86
| Lorugugu
| Lorugugu
| Valinorsma
| Valinorsma
|
|
|-
|-
| 896/891
| 11
| <nowiki> | 7 -4 0 1 -1 </nowiki>&gt;
| [[896/891]]
| {{Monzo| 7 -4 0 1 -1 }}
| 9.69
| 9.69
| Saluzo
| Saluzo
| Pentacircle
| Pentacircle
|
|
|-
|-
| 243/242
| 11
| <nowiki> | -1 5 0 0 -2 </nowiki>&gt;
| [[243/242]]
| {{Monzo| -1 5 0 0 -2 }}
| 7.14
| 7.14
| Lulu
| Lulu
| Rastma
| Rastma
|
|
|-
|-
| 385/384
| 11
| <nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| [[385/384]]
| {{Monzo| -7 -1 1 1 1 }}
| 4.50
| 4.50
| Lozoyo
| Lozoyo
| Keenanisma
| Keenanisma
|
|
|-
|-
| 9801/9800
| 11
| <nowiki> | -3 4 -2 -2 2 </nowiki>&gt;
| [[9801/9800]]
| {{Monzo| -3 4 -2 -2 2 }}
| 0.18
| 0.18
| Bilorugu
| Bilorugu
| Kalisma
| Kalisma, Gauss' comma
| Gauss' Comma
|
|-
|-
| 91/90
| 13
| <nowiki> | -1 -2 -1 1 0 1 </nowiki>&gt;
| [[91/90]]
| {{Monzo| -1 -2 -1 1 0 1 }}
| 19.13
| 19.13
| Thozogu
| Thozogu
| Superleap
| Superleap
|
|
|-
|-
| 676/675
| 13
| <nowiki> | 2 -3 -2 0 0 2 </nowiki>&gt;
| [[676/675]]
| {{Monzo| 2 -3 -2 0 0 2 }}
| 2.56
| 2.56
| Bithogu
| Bithogu
| Island Comma
| Island comma, parizeksma
| Parizeksma
|
|}
|}