22edo: Difference between revisions

Xenwolf (talk | contribs)
Commas: monzos via template, write out limits
Xenwolf (talk | contribs)
Commas: rework commatable
Line 1,012: Line 1,012:
{{todo| cleanup }} <!-- switch monzos to template in the following table -->
{{todo| cleanup }} <!-- switch monzos to template in the following table -->


{| class="wikitable center-all left-3 right-4"
{| class="commatable wikitable center-all left-3 right-4 left-6"
|-
|-
! [[Harmonic limit|Prime <br>limit]]
! [[Harmonic limit|Prime <br>limit]]
! [[Ratio]]
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! [[Color name]]
! [[Color name]]
! Name 1
! Name(s)
! Name 2
! Name 3
|-
|-
| 5
| 5
Line 1,028: Line 1,026:
| 49.17
| 49.17
| Triyo
| Triyo
| Maximal Diesis
| Maximal diesis, Porcupine comma
| Porcupine Comma
|
|-
|-
| 5
| 5
Line 1,037: Line 1,033:
| 29.61
| 29.61
| Laquinyo
| Laquinyo
| Small Diesis
| Small diesis, Magic comma
| Magic Comma
|
|-
|-
| 5
| 5
Line 1,047: Line 1,041:
| Sagugu
| Sagugu
| Diaschisma
| Diaschisma
|
|
|-
|-
| 5
| 5
| 2109375/2097152
| [[2109375/2097152|(14 digits)]]
| {{Monzo| -21 3 7 }}
| {{Monzo| -21 3 7 }}
| 10.06
| 10.06
| Lasepyo
| Lasepyo
| Semicomma
| [[Semicomma]], Fokker comma
| Fokker Comma
|
|-
|-
| 5
| 5
| 9193891/9143623
| <abbr title="4294967296/4271484375">(20 digits)</abbr>
| {{Monzo| 32 -7 -9 }}
| {{Monzo| 32 -7 -9 }}
| 9.49
| 9.49
| Sasa-tritrigu
| Sasa-tritrigu
| Escapade Comma
| [[Escapade comma]]
|
|
|-
|-
| 5
| 5
| 4758837/4757272
| <abbr title="9010162353515625/9007199254740992">(32 digits)</abbr>
| {{Monzo| -53 10 16 }}
| {{Monzo| -53 10 16 }}
| 0.57
| 0.57
| Quadla-quadquadyo
| Quadla-quadquadyo
| Kwazy
| [[Kwazy]]
|
|
|-
|-
| 7
| 7
Line 1,082: Line 1,068:
| 34.98
| 34.98
| Biruyo
| Biruyo
| Tritonic Diesis
| Tritonic diesis, Jubilisma
| Jubilisma
|
|-
|-
| 7
| 7
Line 1,091: Line 1,075:
| 27.26
| 27.26
| Ru
| Ru
| Septimal Comma
| Septimal comma, Archytas' comma, Leipziger Komma
| Archytas' Comma
| Leipziger Komma
|-
|-
| 7
| 7
| 875/864
| [[875/864]]
| {{Monzo| -5 -3 3 1 }}
| {{Monzo| -5 -3 3 1 }}
| 21.90
| 21.90
| Zotriyo
| Zotriyo
| Keema
| Keema
|
|
|-
|-
| 7
| 7
| 2430/2401
| [[2430/2401]]
| {{Monzo| 1 5 1 -4 }}
| {{Monzo| 1 5 1 -4 }}
| 20.79
| 20.79
| Quadru-ayo
| Quadru-ayo
| Nuwell
| Nuwell
|
|
|-
|-
| 7
| 7
Line 1,119: Line 1,097:
| Zozoyo
| Zozoyo
| Sensamagic
| Sensamagic
|
|
|-
|-
| 7
| 7
| 1728/1715
| [[1728/1715]]
| {{Monzo| 6 3 -1 -3 }}
| {{Monzo| 6 3 -1 -3 }}
| 13.07
| 13.07
| Triru-agu
| Triru-agu
| Orwellisma
| Orwellisma, Orwell comma
| Orwell Comma
|
|-
|-
| 7
| 7
Line 1,136: Line 1,110:
| 7.71
| 7.71
| Ruyoyo
| Ruyoyo
| Septimal Kleisma
| Septimal kleisma, Marvel comma
| Marvel Comma
|
|-
|-
| 7
| 7
| 10976/10935
| [[10976/10935]]
| {{Monzo| 5 -7 -1 3 }}
| {{Monzo| 5 -7 -1 3 }}
| 6.48
| 6.48
| Trizo-agu
| Trizo-agu
| Hemimage
| Hemimage
|
|
|-
|-
| 7
| 7
| 6144/6125
| [[6144/6125]]
| {{Monzo| 11 1 -3 -2 }}
| {{Monzo| 11 1 -3 -2 }}
| 5.36
| 5.36
| Saruru-atrigu
| Saruru-atrigu
| Porwell
| Porwell
|
|
|-
|-
| 7
| 7
| 65625/65536
| [[65625/65536]]
| {{Monzo| -16 1 5 1 }}
| {{Monzo| -16 1 5 1 }}
| 2.35
| 2.35
| Lazoquinyo
| Lazoquinyo
| Horwell
| Horwell
|
|
|-
|-
| 7
| 7
| 420175/419904
| <abbr title="420175/419904">(12 digits)</abbr>
| {{Monzo| -6 -8 2 5 }}
| {{Monzo| -6 -8 2 5 }}
| 1.12
| 1.12
| Quinzo-ayoyo
| Quinzo-ayoyo
| Wizma
| [[Wizma]]
|
|
|-
|-
| 11
| 11
Line 1,182: Line 1,146:
| Loruru
| Loruru
| Mothwellsma
| Mothwellsma
|
|
|-
|-
| 11
| 11
Line 1,191: Line 1,153:
| Luyoyo
| Luyoyo
| Ptolemisma
| Ptolemisma
|
|
|-
|-
| 11
| 11
Line 1,200: Line 1,160:
| Lologu
| Lologu
| Biyatisma
| Biyatisma
|
|
|-
|-
| 11
| 11
Line 1,209: Line 1,167:
| 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
| 65536/65219
| [[65536/65219]]
| {{Monzo| 16 0 0 -2 -3 }}
| {{Monzo| 16 0 0 -2 -3 }}
| 8.39
| 8.39
| Satrilu-aruru
| Satrilu-aruru
| Orgonisma
| Orgonisma
|
|
|-
|-
| 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
| 540/539
| [[540/539]]
| {{Monzo| 2 3 1 -2 -1 }}
| {{Monzo| 2 3 1 -2 -1 }}
| 3.21
| 3.21
| Lururuyo
| Lururuyo
| Swetisma
| Swetisma
|
|
|-
|-
| 11
| 11
| 4000/3993
| [[4000/3993]]
| {{Monzo| 5 -1 3 0 -3 }}
| {{Monzo| 5 -1 3 0 -3 }}
| 3.03
| 3.03
| Triluyo
| Triluyo
| Wizardharry
| Wizardharry
|
|
|-
|-
| 11
| 11
Line 1,262: Line 1,208:
| 0.18
| 0.18
| Bilorugu
| Bilorugu
| Kalisma
| Kalisma, Gauss' comma
| Gauss' Comma
|
|-
|-
| 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
|
|
|-
|-
| 31
| 31
| [[125/124]]
| [[125/124]]
| {{Monzo| -2 0 3 0 ... -1 }}
| {{Monzo| -2 0 3 0 0 0 0 0 0 0 -1 }}
| 13.91
| 13.91
| Thiwutriyo
| Thiwutriyo
| Twizzler
| Twizzler
|
|
|}
|}
<references/>


== Staff Notation ==
== Staff Notation ==