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24edo: Difference between revisions

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{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-4 center-5"
|-
|-
![[Harmonic limit|Prime<br>Limit]]
! [[Harmonic limit|Prime<br>Limit]]
![[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
![[Monzo]]
! [[Monzo]]
![[Cent]]s
! [[Cent]]s
![[Color name]]
! [[Color name]]
!Name(s)
! Name(s)
|-
| -
|3
| 3
|[[531441/524288|(12 digits)]]
| [[531441/524288| (12 digits)]]
|{{monzo| -19 12 }}
| {{monzo| -19 12 }}
|23.46
| 23.46
|Lalawa
| Lalawa
|[[Pythagorean comma]]
| [[Pythagorean comma]]
|-
| -
|5
|[[648/625]]
|{{monzo| 3 4 -4 }}
|62.57
|Quadgu
|Greater diesis, diminished domma
|-
| 5
| 5
|[[128/125]]
| [[648/625]]
|{{monzo| 7 0 -3 }}
| {{monzo| 3 4 -4 }}
|41.06
| 62.57
|Trigu
| Quadgu
|Lesser diesis, augmented comma
| Greater diesis, diminished domma
|-
| -
|5
| 5
|[[81/80]]
| [[128/125]]
|{{monzo| -4 4 -1 }}
| {{monzo| 7 0 -3 }}
| 41.06
| Trigu
| Lesser diesis, augmented comma
| -
| 5
| [[81/80]]
| {{monzo| -4 4 -1 }}
| 21.51
| 21.51
|Gu
| Gu
|Syntonic comma, Didymus comma, meantone comma
| Syntonic comma, Didymus comma, meantone comma
|-
| -
|5
| 5
|[[2048/2025]]
| [[2048/2025]]
|{{monzo| 11 -4 -2 }}
| {{monzo| 11 -4 -2 }}
|19.55
| 19.55
| Sagugu
| Sagugu
|Diaschisma
| Diaschisma
|-
| -
|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
|[[Misty comma]]
| [[Misty comma]]
|-
| -
| 5
| [[32805/32768]]
| {{monzo| -15 8 1 }}
| 1.95
| Layo
| Schisma
| -
| 5
| 5
|[[32805/32768]]
| <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
|{{monzo| -15 8 1 }}
| {{monzo| 161 -84 -12 }}
|1.95
| 0.02
|Layo
| Sepbisa-quadbigu
|Schisma
| [[Kirnberger's atom]]
|-
| -
|5
| 7
|<abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
| [[1323/1280]]
|{{monzo| 161 -84 -12 }}
| {{monzo| -8 3 -1 2 }}
|0.02
| 57.20
|Sepbisa-quadbigu
| Lazozogu
|[[Kirnberger's atom]]
|-
|7
|[[1323/1280]]
|{{monzo| -8 3 -1 2 }}
|57.20
|Lazozogu
| Septimal two-seventh tone
| Septimal two-seventh tone
|-
| -
|7
| 7
|[[49/48]]
| [[49/48]]
|{{monzo| -4 -1 0 2 }}
| {{monzo| -4 -1 0 2 }}
|35.70
| 35.70
|Zozo
| Zozo
| Slendro diesis
| Slendro diesis
|-
| -
|7
| 7
|[[245/243]]
| [[245/243]]
|{{monzo| 0 -5 1 2 }}
| {{monzo| 0 -5 1 2 }}
|14.19
| 14.19
|Zozoyo
| Zozoyo
|Sensamagic comma
| Sensamagic comma
|-
| -
|7
| 7
|[[19683/19600]]
| [[19683/19600]]
|{{monzo| -4 9 -2 -2 }}
| {{monzo| -4 9 -2 -2 }}
|7.32
| 7.32
| Labirugu
| Labirugu
| Cataharry comma
| Cataharry comma
|-
| -
|7
| 7
|[[6144/6125]]
| [[6144/6125]]
|{{monzo| 11 1 -3 -2 }}
| {{monzo| 11 1 -3 -2 }}
|5.36
| 5.36
|Sarurutrigu
| Sarurutrigu
| Porwell comma
| Porwell comma
|-
| -
|11
| 11
|[[56/55]]
| [[56/55]]
|{{monzo| 3 0 -1 1 -1 }}
| {{monzo| 3 0 -1 1 -1 }}
| 31.19
| 31.19
|Luzogu
| Luzogu
| Undecimal tritonic comma
| Undecimal tritonic comma
|-
| -
|11
| 11
|[[121/120]]
| [[121/120]]
|{{monzo| -3 -1 -1 0 2 }}
| {{monzo| -3 -1 -1 0 2 }}
| 14.37
| 14.37
|Lologu
| Lologu
| Biyatisma
| Biyatisma
|-
| -
|11
| 11
|[[176/175]]
| [[176/175]]
|{{monzo| 4 0 -2 -1 1 }}
| {{monzo| 4 0 -2 -1 1 }}
|9.86
| 9.86
| Lorugugu
| Lorugugu
|Valinorsma
| Valinorsma
|-
| -
|11
| 11
|[[896/891]]
| [[896/891]]
|{{monzo| 7 -4 0 1 -1 }}
| {{monzo| 7 -4 0 1 -1 }}
|9.69
| 9.69
|Saluzo
| Saluzo
|Pentacircle
| Pentacircle
|-
| -
|11
| 11
|[[243/242]]
| [[243/242]]
|{{monzo| -1 5 0 0 -2 }}
| {{monzo| -1 5 0 0 -2 }}
| 7.14
| 7.14
|Lulu
| Lulu
|Rastma
| Rastma
|-
| -
|11
| 11
|[[385/384]]
| [[385/384]]
|{{monzo| -7 -1 1 1 1 }}
| {{monzo| -7 -1 1 1 1 }}
|4.50
| 4.50
|Lozoyo
| Lozoyo
|Keenanisma
| Keenanisma
|-
| -
|11
| 11
|[[9801/9800]]
| [[9801/9800]]
|{{monzo| -3 4 -2 -2 2 }}
| {{monzo| -3 4 -2 -2 2 }}
|0.18
| 0.18
|Bilorugu
| Bilorugu
|Kalisma, Gauss' comma
| Kalisma, Gauss' comma
|-
| -
|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
|Winmeanma
| Winmeanma
|-
| -
|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
|Superleap
| Superleap
|-
| -
|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
|Tridecimal neutral thirds comma
| Tridecimal neutral thirds comma
|-
| -
|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
|Animist comma
| Animist comma
|-
| -
|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
|Grossma
| Grossma
|-
| -
|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
|Island comma, parizeksma
| Island comma, parizeksma
|}
| }
<references />
<references />


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