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12edo: Difference between revisions

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Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
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ET parameter name, cleanup
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
→Commas: reworked ratio column
Line 346: Line 346:
12 EDO [[tempering_out|tempers out]] the following [[Comma|commas]]. (Note: This assumes [[val]] {{val| 12 19 28 34 42 44 }}.)
12 EDO [[tempering_out|tempers out]] the following [[Comma|commas]]. (Note: This assumes [[val]] {{val| 12 19 28 34 42 44 }}.)


{| class="wikitable center-all left-3 right-4"
{| class="wikitable center-all left-3 right-4 left-6"
|-
|-
! [[Harmonic limit|Prime<br>limit]]
! [[Harmonic limit|Prime<br>limit]]
! Rational
! Ratio<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! Monzo
! Monzo
! Cents
! Cents
! [[Color notation/Temperament Names|Color Name]]
! [[Color name]]
! Name 1
! Name(s)
! Name 2
! Name 3
|-
|-
| 3
| 3
| [[531441/524288]]
| [[531441/524288|(12 digits)]]
| {{Monzo| -19 12 }}
| {{Monzo| -19 12 }}
| 23.46
| 23.46
| Lalawa
| Lalawa
| Pythagorean comma
| [[Pythagorean comma]]
|
|
|-
|-
| 5
| 5
Line 371: Line 367:
| 62.57
| 62.57
| Quadgu
| Quadgu
| Major diesis
| Major diesis, Diminished comma
| Diminished comma
|
|-
|-
| "
| 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
| [[81/80]]
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| 21.51
| 21.51
| Gu
| Gu
| Syntonic comma
| Syntonic comma, Didymos comma, Meantone comma
| Didymos comma
| Meantone comma
|-
|-
| "
| 5
| [[2048/2025]]
| [[2048/2025]]
| {{Monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
Line 399: Line 389:
| Sagugu
| Sagugu
| Diaschisma
| Diaschisma
|
|
|-
|-
| "
| 5
| 5201701/5149091
| [[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]]
| [[32805/32768]]
| {{Monzo| -15 8 1 }}
| {{Monzo| -15 8 1 }}
Line 417: Line 403:
| Layo
| Layo
| Schisma
| Schisma
|
|
|-
|-
| "
| 5
|  
| <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
| {{Monzo| 161 -84 -12 }}
| {{Monzo| 161 -84 -12 }}
| 0.02
| 0.02
| Sepbisa-quadtrigu
| Sepbisa-quadtrigu
| Atom
| [[Atom]]
|
|
|-
|-
| 7
| 7
Line 435: Line 417:
| Rugu
| Rugu
| Septimal quartertone
| Septimal quartertone
|
|
|-
|-
| "
| 7
| [[50/49]]
| [[50/49]]
| {{Monzo| 1 0 2 -2 }}
| {{Monzo| 1 0 2 -2 }}
| 34.98
| 34.98
| Biruyo
| Biruyo
| Tritonic diesis
| Tritonic diesis, Jubilisma
| Jubilisma
|
|-
|-
| "
| 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
| 3125/3087
| [[3125/3087]]
| {{Monzo| 0 -2 5 -3 }}
| {{Monzo| 0 -2 5 -3 }}
| 21.18
| 21.18
| Triru-aquinyo
| Triru-aquinyo
| Gariboh
| Gariboh
|
|
|-
|-
| "
| 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
| 4000/3969
| [[4000/3969]]
| {{Monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
| 13.47
| 13.47
| Rurutriyo
| Rurutriyo
| Octagar
| Octagar
|
|
|-
|-
| "
| 7
| 321489/320000
| <abbr title="321489/320000">(12 digits)</abbr>
| {{Monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
| 8.04
| 8.04
| Labizogugu
| Labizogugu
| Varunisma
| [[Varunisma]]
|
|
|-
|-
| "
| 7
| [[225/224]]
| [[225/224]]
| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| 7.71
| 7.71
| Ruyoyo
| Ruyoyo
| Septimal kleisma
| Septimal kleisma, Marvel comma
| Marvel comma
|
|-
|-
| "
| 7
| 3136/3125
| [[3136/3125]]
| {{Monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
| 6.08
| 6.08
| Zozoquingu
| Zozoquingu
| Hemimean
| Hemimean
|
|
|-
|-
| "
| 7
| 5120/5103
| 5120/5103
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
Line 516: Line 480:
| Saruyo
| Saruyo
| Hemifamity
| Hemifamity
|
|
|-
|-
| "
| 7
| 33554432/33480783
| [[33554432/33480783|(16 digits)]]
| {{Monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
| 3.80
| 3.80
| Sasaru
| Sasaru
| Garischisma
| [[Garischisma]]
|
|
|-
|-
| "
| 7
| 703125/702464
| <abbr title="703125/702464">(12 digits)</abbr>
| {{Monzo| -11 2 7 -3 }}
| {{Monzo| -11 2 7 -3 }}
| 1.63
| 1.63
| Latriru-asepyo
| Latriru-asepyo
| Meter
| [[Meter]]
|
|
|-
|-
| "
| 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
Line 552: Line 508:
| Loruru
| Loruru
| Mothwellsma
| Mothwellsma
|
|
|-
|-
| "
| 11
| [[100/99]]
| [[100/99]]
| {{Monzo| 2 -2 2 0 -1 }}
| {{Monzo| 2 -2 2 0 -1 }}
Line 561: Line 515:
| Luyoyo
| Luyoyo
| Ptolemisma
| Ptolemisma
|
|
|-
|-
| "
| 11
| [[176/175]]
| [[176/175]]
| {{Monzo| 4 0 -2 -1 1 }}
| {{Monzo| 4 0 -2 -1 1 }}
Line 570: Line 522:
| Lorugugu
| Lorugugu
| Valinorsma
| Valinorsma
|
|
|-
|-
| "
| 11
| [[896/891]]
| [[896/891]]
| {{Monzo| 7 -4 0 1 -1 }}
| {{Monzo| 7 -4 0 1 -1 }}
Line 579: Line 529:
| Saluzo
| Saluzo
| Pentacircle
| Pentacircle
|
|
|-
|-
| "
| 11
| 441/440
| [[441/440]]
| {{Monzo| -3 2 -1 2 -1 }}
| {{Monzo| -3 2 -1 2 -1 }}
| 3.93
| 3.93
| Luzozogu
| Luzozogu
| Werckisma
| Werckisma
|
|
|-
|-
| "
| 11
| [[9801/9800]]
| [[9801/9800]]
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
| 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
|
|
|}
|}
<references/>


[[Category:12edo]]
[[Category:12edo]]
Retrieved from "https://en.xen.wiki/w/12edo"