21edo: Difference between revisions

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ET parameter name, cleanup
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==Commas==
==Commas==
21 EDO tempers out the following 13-limit [[commas]]. (Note: This assumes the val < 21 33 49 59 73 78 |.)
21 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 21 33 49 59 73 78 }}.)


{| class="wikitable"
{| class="commatable wikitable center-all left-3 right-4 left-6"
|-
|-
! | [[Ratio]]
! [[Harmonic limit|Prime<br>Limit]]
! | [[Monzo]]
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! | [[Cents]]
! [[Monzo]]
![[Color notation/Temperament Names|Color Name]]
! [[Cent]]s
! | Name 1
! [[Color name]]
! | Name 2
! Name(s)
|-
|-
| style="text-align:center;" | 2187/2048
| 3
| |<nowiki> | -11 7 </nowiki>&gt;
| [[2187/2048]]
| style="text-align:right;" | 113.69
| {{Monzo| -11 7 }}
| style="text-align:center;" |Lawa
| 113.69
| style="text-align:center;" | Apotome
| Lawa
| style="text-align:center;" |
| Apotome
|-
|-
| style="text-align:center;" | 128/125
| 5
| |<nowiki> | 7 0 -3 </nowiki>&gt;
| [[128/125]]
| style="text-align:right;" | 41.06
| {{Monzo| 7 0 -3 }}
| style="text-align:center;" |Trigu
| 41.06
| style="text-align:center;" | Diesis
| Trigu
| style="text-align:center;" | Augmented Comma
| Diesis, Augmented Comma
|-
|-
| style="text-align:center;" |  
| 5
| |<nowiki> | -25 7 6 </nowiki>&gt;
| [[34171875/33554432|(16 digits)]]
| style="text-align:right;" | 31.57
| {{Monzo| -25 7 6 }}
| style="text-align:center;" |Lala-tribiyo
| 31.57
| style="text-align:center;" | Ampersand's Comma
| Lala-tribiyo
| |
| [[Ampersand]], Ampersand's Comma
|-
|-
| style="text-align:center;" |
| 5
| |<nowiki> | 32 -7 -9 </nowiki>&gt;
| <abbr title="4294967296/4271484375">(20 digits)</abbr>
| style="text-align:right;" | 9.49
| {{Monzo| 32 -7 -9 }}
| style="text-align:center;" |Sasa-tritrigu
| 9.49
| style="text-align:center;" | Escapade Comma
| Sasa-tritrigu
| |
| [[Escapade]] Comma
|-
|-
| style="text-align:center;" | 1029/1000
| 7
| |<nowiki> | -3 1 -3 3 </nowiki>&gt;
| [[1029/1000]]
| style="text-align:right;" | 49.49
| {{Monzo| -3 1 -3 3 }}
| style="text-align:center;" |Trizogu
| 49.49
| style="text-align:center;" | Keega
| Trizogu
| style="text-align:center;" |
| Keega
|-
|-
| style="text-align:center;" | 36/35
| 7
| |<nowiki> | 2 2 -1 -1 </nowiki>&gt;
| [[36/35]]
| style="text-align:right;" | 48.77
| {{Monzo| 2 2 -1 -1 }}
| style="text-align:center;" |Rugu
| 48.77
| style="text-align:center;" | Septimal Quarter Tone
| Rugu
| |
| Septimal Quarter Tone
|-
|-
| style="text-align:center;" |
| 7
| |<nowiki> | -10 7 8 -7 </nowiki>&gt;
| <abbr title="854296875/843308032">(18 digits)</abbr>
| style="text-align:right;" | 22.41
| {{Monzo| -10 7 8 -7 }}
| style="text-align:center;" |Lasepru-aquadbiyo
| 22.41
| style="text-align:center;" | Blackjackisma
| Lasepru-aquadbiyo
| style="text-align:center;" |
| [[Blackjackisma]]
|-
|-
| style="text-align:center;" | 1029/1024
| 7
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| [[1029/1024]]
| style="text-align:right;" | 8.43
| {{Monzo| -10 1 0 3 }}
| style="text-align:center;" |Latrizo
| 8.43
| style="text-align:center;" | Gamelisma
| Latrizo
| style="text-align:center;" |
| Gamelisma
|-
|-
| style="text-align:center;" | 225/224
| 7
| |<nowiki> | -5 2 2 -1 </nowiki>&gt;
| [[225/224]]
| style="text-align:right;" | 7.71
| {{Monzo| -5 2 2 -1 }}
| style="text-align:center;" |Ruyoyo
| 7.71
| style="text-align:center;" | Septimal Kleisma
| Ruyoyo
| style="text-align:center;" | Marvel Comma
| Septimal Kleisma, Marvel Comma
|-
|-
| style="text-align:center;" | 16875/16807
| 7
| |<nowiki> | 0 3 4 -5 </nowiki>&gt;
| [[16875/16807]]
| style="text-align:right;" | 6.99
| {{Monzo| 0 3 4 -5 }}
| style="text-align:center;" |Quinru-aquadyo
| 6.99
| style="text-align:center;" | Mirkwai
| Quinru-aquadyo
| style="text-align:center;" |
| Mirkwai
|-
|-
| style="text-align:center;" | 2401/2400
| 7
| |<nowiki> | -5 -1 -2 4 </nowiki>&gt;
| [[2401/2400]]
| style="text-align:right;" | 0.72
| {{Monzo| -5 -1 -2 4 }}
| style="text-align:center;" |Bizozogu
| 0.72
| style="text-align:center;" | Breedsma
| Bizozogu
| style="text-align:center;" |
| Breedsma
|-
|-
| style="text-align:center;" |
| 7
| |<nowiki> | 47 -7 -7 -7 </nowiki>&gt;
| <abbr title="140737488355328/140710042265625">(30 digits)</abbr>
| style="text-align:right;" | 0.34
| {{Monzo| 47 -7 -7 -7 }}
| style="text-align:center;" |Trisa-seprugu
| 0.34
| style="text-align:center;" | Akjaysma
| Trisa-seprugu
| style="text-align:center;" | 5\7 Octave Comma
| [[Akjaysma]], 5\7 Octave Comma
|-
|-
| style="text-align:center;" | 99/98
| 11
| |<nowiki> | -1 2 0 -2 1 </nowiki>&gt;
| [[99/98]]
| style="text-align:right;" | 17.58
| {{Monzo| -1 2 0 -2 1 }}
| style="text-align:center;" |Loruru
| 17.58
| style="text-align:center;" | Mothwellsma
| Loruru
| style="text-align:center;" |
| Mothwellsma
|-
|-
| style="text-align:center;" | 176/175
| 11
| |<nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| [[176/175]]
| style="text-align:right;" | 9.86
| {{Monzo| 4 0 -2 -1 1 }}
| style="text-align:center;" |Lorugugu
| 9.86
| style="text-align:center;" | Valinorsma
| Lorugugu
| style="text-align:center;" |
| Valinorsma
|-
|-
| style="text-align:center;" | 4000/3993
| 11
| |<nowiki> | 5 -1 3 0 -3 </nowiki>&gt;
| [[4000/3993]]
| style="text-align:right;" | 3.03
| {{Monzo| 5 -1 3 0 -3 }}
| style="text-align:center;" |Triluyo
| 3.03
| style="text-align:center;" | Wizardharry
| Triluyo
| style="text-align:center;" |
| Wizardharry
|}
|}
<references/>


==Books / Literature==
==Books / Literature==