50edo: Difference between revisions

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Commas: monzos via template, write out limits
Xenwolf (talk | contribs)
Commas: rework commatable
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50 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val|50 79 116 140 173 185 204 212 226}}, comma values in cents rounded to 2 decimal places.) This list is not all-inclusive, and is based on the interval table from Scala version 2.2.
50 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val|50 79 116 140 173 185 204 212 226}}, comma values in cents rounded to 2 decimal places.) This list is not all-inclusive, and is based on the interval table from Scala version 2.2.


{| 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
! [[Cent]]s
! Name 1
! Name(s)
! Name 2
|-
|-
| 5
| 5
| 81/80
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
| 21.51
| 21.51
| Syntonic comma
| Syntonic comma, Didymus comma
| Didymus comma
|-
|-
| 5
| 5
|  
| <abbr title="1220703125/1207959552">(20 digits)</abbr>
| {{Monzo| -27 -2 13 }}
| {{Monzo| -27 -2 13 }}
| 18.17
| 18.17
| Ditonma
| [[Ditonma]]
|
|-
|-
| 5
| 5
|  
| [[6115295232/6103515625|(20 digits)]]
| {{Monzo| 23 6 -14 }}
| {{Monzo| 23 6 -14 }}
| 3.34
| 3.34
| Vishnu comma
| [[Vishnuzma]], Vishnu comma
|
|-
|-
| 7
| 7
| 59049/57344
| [[59049/57344]]
| {{Monzo| -13 10 0 -1 }}
| {{Monzo| -13 10 0 -1 }}
| 50.72
| 50.72
| Harrison's comma
| Harrison's comma
|
|-
|-
| 7
| 7
| 126/125
| [[126/125]]
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
| 13.79
| 13.79
| Starling comma
| Starling comma, Small septimal comma
| Small septimal comma
|-
|-
| 7
| 7
| 225/224
| [[225/224]]
| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| 7.71
| 7.71
| Septimal kleisma
| Septimal kleisma, Marvel comma
| Marvel comma
|-
|-
| 7
| 7
| 3136/3125
| [[3136/3125]]
| {{Monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
| 6.08
| 6.08
| Hemimean
| Hemimean, Middle second comma
| Middle second comma
|-
|-
| 7
| 7
|  
| <abbr title="578509309952/576650390625">(24 digits)</abbr>
| {{Monzo| 11 -10 -10 10 }}
| {{Monzo| 11 -10 -10 10 }}
| 5.57
| 5.57
| Linus
| [[Linus]]
|
|-
|-
| 7
| 7
|  
| [[703125/702464|(12 digits)]]
| {{Monzo| -11 2 7 -3 }}
| {{Monzo| -11 2 7 -3 }}
| 1.63
| 1.63
| Meter
| [[Meter]]
|
|-
|-
| 7
| 7
|  
| <abbr title="420175/419904">(12 digits)</abbr>
| {{Monzo| -6 -8 2 5 }}
| {{Monzo| -6 -8 2 5 }}
| 1.12
| 1.12
| Wizma
| [[Wizma]]
|
|-
|-
| 11
| 11
| 245/242
| [[245/242]]
| {{Monzo| -1 0 1 2 -2 }}
| {{Monzo| -1 0 1 2 -2 }}
| 21.33
| 21.33
| Cassacot
| Cassacot
|
|-
|-
| 11
| 11
| 385/384
| [[385/384]]
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
| 4.50
| 4.50
| Keenanisma
| Keenanisma, undecimal kleisma
| Undecimal kleisma
|-
|-
| 11
| 11
| 540/539
| [[540/539]]
| {{Monzo| 2 3 1 -2 -1 }}
| {{Monzo| 2 3 1 -2 -1 }}
| 3.21
| 3.21
| Swets' comma
| Swets' comma, Swetisma
| Swetisma
|-
|-
| 11
| 11
| 4000/3993
| [[4000/3993]]
| {{Monzo| 5 -1 3 0 -3 }}
| {{Monzo| 5 -1 3 0 -3 }}
| 3.03
| 3.03
| Wizardharry
| Wizardharry, undecimal schisma
| Undecimal schisma
|-
|-
| 11
| 11
| 9801/9800
| [[9801/9800]]
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
| 0.18
| 0.18
| Kalisma
| Kalisma, Gauss' comma
| Gauss' 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
| Animist comma
| Animist comma, small tridecimal comma
| Small tridecimal 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
| Grossma
| Grossma
|
|-
|-
| 13
| 13
| 196/195
| [[196/195]]
| {{Monzo| 2 -1 -1 2 0 -1 }}
| {{Monzo| 2 -1 -1 2 0 -1 }}
| 8.86
| 8.86
| Mynucuma
| Mynucuma
|
|-
|-
| 13
| 13
| 1188/1183
| [[1188/1183]]
| {{Monzo| 2 3 0 -1 1 -2 }}
| {{Monzo| 2 3 0 -1 1 -2 }}
| 7.30
| 7.30
| Kestrel Comma
| Kestrel Comma
|
|-
|-
| 13
| 13
| 364/363
| [[364/363]]
| {{Monzo| 2 -1 0 1 -2 1 }}
| {{Monzo| 2 -1 0 1 -2 1 }}
| 4.76
| 4.76
| Gentle comma
| Gentle comma
|
|-
|-
| 13
| 13
| 2200/2197
| [[2200/2197]]
| {{Monzo| 3 0 2 0 1 -3 }}
| {{Monzo| 3 0 2 0 1 -3 }}
| 2.36
| 2.36
| Petrma
| Petrma, Parizek comma
| Parizek comma
|-
|-
| 23
| 23
| 1288/1287
| [[1288/1287]]
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
| 1.34
| 1.34
| Triaphonisma
| Triaphonisma
|
|}
|}
<references/>


== Music ==
== Music ==