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27edo: Difference between revisions

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Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
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→Commas: monzos via template, write out limits
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
→Commas: rework commatable
Line 683: Line 683:
27 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val|27 43 63 76 93 100}}.)
27 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val|27 43 63 76 93 100}}.)


{| 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]]
! [[Cent]]s
! [[Cent]]s
! [[Color name]]
! [[Color name]]
! Name 1
! Name(s)
! Name 2
! Name 3
|-
|-
| 5
| 5
| 128/125
| [[128/125]]
| {{Monzo| 7 0 -3 }}
| {{Monzo| 7 0 -3 }}
| 41.06
| 41.06
| Trigu
| Trigu
| Diesis
| Diesis, augmented comma
| Augmented Comma
|
|-
|-
| 5
| 5
| 20000/19683
| [[20000/19683]]
| {{Monzo| 5 -9 4 }}
| {{Monzo| 5 -9 4 }}
| 27.66
| 27.66
| Saquadyo
| Saquadyo
| Minimal Diesis
| Minimal diesis, Tetracot comma
| Tetracot Comma
|
|-
|-
| 5
| 5
| 78732/78125
| [[78732/78125]]
| {{Monzo| 2 9 -7 }}
| {{Monzo| 2 9 -7 }}
| 13.40
| 13.40
| Sepgu
| Sepgu
| Medium Semicomma
| Medium semicomma, Sensipent comma
| Sensipent Comma
|
|-
|-
| 5
| 5
| 4711802/4709457
| <abbr title="7629394531250/7625597484987">(26 digits)</abbr>
| {{Monzo| 1 -27 18 }}
| {{Monzo| 1 -27 18 }}
| 0.86
| 0.86
| Satritribiyo
| Satritribiyo
| Ennealimma
| [[Ennealimma]]
|
|
|-
|-
| 7
| 7
| 686/675
| [[686/675]]
| {{Monzo| 1 -3 -2 3 }}
| {{Monzo| 1 -3 -2 3 }}
| 27.99
| 27.99
| Trizo-agugu
| Trizo-agugu
| Senga
| Senga
|
|
|-
|-
| 7
| 7
| 64/63
| [[64/63]]
| {{Monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
| 27.26
| 27.26
| Ru
| Ru
| Septimal Comma
| Septimal comma, Archytas' comma, Leipziger Komma
| Archytas' Comma
| Leipziger Komma
|-
|-
| 7
| 7
| 50421/50000
| [[50421/50000]]
| {{Monzo| -4 1 -5 5 }}
| {{Monzo| -4 1 -5 5 }}
| 14.52
| 14.52
| Quinzogu
| Quinzogu
| Trimyna
| Trimyna
|
|
|-
|-
| 7
| 7
| 245/243
| [[245/243]]
| {{Monzo| 0 -5 1 2 }}
| {{Monzo| 0 -5 1 2 }}
| 14.19
| 14.19
| Zozoyo
| Zozoyo
| Sensamagic
| Sensamagic
|
|
|-
|-
| 7
| 7
| 126/125
| [[126/125]]
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| 13.79
| 13.79
| Zotrigu
| Zotrigu
| Septimal Semicomma
| Septimal semicomma, Starling comma
| Starling Comma
|
|-
|-
| 7
| 7
| 4000/3969
| [[4000/3969]]
| {{Monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
| 13.47
| 13.47
| Rurutriyo
| Rurutriyo
| Octagar
| Octagar
|
|
|-
|-
| 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
| 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]]
|
|
|-
|-
| 7
| 7
| 2401/2400
| [[2401/2400]]
| {{Monzo| -5 -1 -2 4 }}
| {{Monzo| -5 -1 -2 4 }}
| 0.72
| 0.72
| Bizozogu
| Bizozogu
| Breedsma
| Breedsma
|
|
|-
|-
| 7
| 7
| 4375/4374
| [[4375/4374]]
| {{Monzo| -1 -7 4 1 }}
| {{Monzo| -1 -7 4 1 }}
| 0.40
| 0.40
| Zoquadyo
| Zoquadyo
| Ragisma
| Ragisma
|
|
|-
|-
| 7
| 7
| 250047/250000
| <abbr title="250047/250000">(12 digits)</abbr>
| {{Monzo| -4 6 -6 3 }}
| {{Monzo| -4 6 -6 3 }}
| 0.33
| 0.33
| Trizogugu
| Trizogugu
| Landscape Comma
| [[Landscape comma]]
|
|
|-
|-
| 11
| 11
| 99/98
| [[99/98]]
| {{Monzo| -1 2 0 -2 1 }}
| {{Monzo| -1 2 0 -2 1 }}
| 17.58
| 17.58
| Loruru
| Loruru
| Mothwellsma
| Mothwellsma
|
|
|-
|-
| 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
| 385/384
| [[385/384]]
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
| 4.50
| 4.50
| Lozoyo
| Lozoyo
| Keenanisma
| Keenanisma
|
|
|-
|-
| 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
|
|
|}
|}
<references/>


== Music ==
== Music ==
Retrieved from "https://en.xen.wiki/w/27edo"