16edo: Difference between revisions

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Commas: rework commatable
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==Commas==
==Commas==
16 EDO [[tempering_out|tempers out]] the following [[comma]]s. (Note: This assumes [[val|val]] < 16 25 37 45 55 59 |.)
16 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes [[val]] {{val| 16 25 37 45 55 59 }}.)


{| 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>
! | [[Cent|Cents]]
! [[Monzo]]
![[Color notation/Temperament Names|Color Name]]
! [[Cent]]s
! | Name 1
! [[Color name]]
! | Name 2
! Name(s)
! | Name 3
|-
|-
| style="text-align:center;" | 135/128
| 5
| |<nowiki> | -7 3 1 </nowiki>&gt;
| [[135/128]]
| style="text-align:right;" | 92.18
| {{Monzo| -7 3 1 }}
| style="text-align:center;" |Layobi
| 92.18
| style="text-align:center;" | Major Chroma
| Layobi
| style="text-align:center;" | Major Limma
| Major Chroma, Major Limma, Pelogic Comma
| style="text-align:center;" | Pelogic Comma
|-
|-
| style="text-align:center;" | 648/625
| 5
| |<nowiki> | 3 4 -4 </nowiki>&gt;
| [[648/625]]
| style="text-align:right;" | 62.57
| {{Monzo| 3 4 -4 }}
| style="text-align:center;" |Quadgu
| 62.57
| style="text-align:center;" | Major Diesis
| Quadgu
| style="text-align:center;" | Diminished Comma
| Major Diesis, Diminished Comma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 3125/3072
| 5
| |<nowiki> | -10 -1 5 </nowiki>&gt;
| [[3125/3072]]
| style="text-align:right;" | 29.61
| {{Monzo| -10 -1 5 }}
| style="text-align:center;" |Laquinyo
| 29.61
| style="text-align:center;" | Small Diesis
| Laquinyo
| style="text-align:center;" | Magic Comma
| Small Diesis, Magic Comma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 36/35
| 5
| |<nowiki> | 2 2 -1 -1 </nowiki>&gt;
| [[6115295232/6103515625|(20 digits)]]
| style="text-align:right;" | 48.77
| {{Monzo| 23 6 -14 }}
| style="text-align:center;" |Rugu
| 3.34
| style="text-align:center;" | Septimal Quarter Tone
| Sasepbiru
| style="text-align:center;" |
| [[Vishnuzma]], Semisuper
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 525/512
| 7
| |<nowiki> | -9 1 2 1 </nowiki>&gt;
| [[36/35]]
| style="text-align:right;" | 43.41
| {{Monzo| 2 2 -1 -1 }}
| style="text-align:center;" |Lazoyoyo
| 48.77
| style="text-align:center;" | Avicennma
| Rugu
| style="text-align:center;" | Avicenna's Enharmonic Diesis
| Septimal Quarter Tone
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 50/49
| 7
| |<nowiki> | 1 0 2 -2 </nowiki>&gt;
| [[525/512]]
| style="text-align:right;" | 34.98
| {{Monzo| -9 1 2 1 }}
| style="text-align:center;" |Biruyo
| 43.41
| style="text-align:center;" | Tritonic Diesis
| Lazoyoyo
| style="text-align:center;" | Jubilisma
| Avicennma, Avicenna's Enharmonic Diesis
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 64827/64000
| 7
| |<nowiki> | -9 3 -3 4 </nowiki>&gt;
| [[50/49]]
| style="text-align:right;" | 22.23
| {{Monzo| 1 0 2 -2 }}
| style="text-align:center;" |Laquadzo-atrigu
| 34.98
| style="text-align:center;" | Squalentine
| Biruyo
| style="text-align:center;" |
| Tritonic Diesis, Jubilisma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 3125/3087
| 7
| |<nowiki> | 0 -2 5 -3 </nowiki>&gt;
| [[64827/64000]]
| style="text-align:right;" | 21.18
| {{Monzo| -9 3 -3 4 }}
| style="text-align:center;" |Triru-aquinyo
| 22.23
| style="text-align:center;" | Gariboh
| Laquadzo-atrigu
| style="text-align:center;" |
| Squalentine
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 126/125
| 7
| |<nowiki> | 1 2 -3 1 </nowiki>&gt;
| [[3125/3087]]
| style="text-align:right;" | 13.79
| {{Monzo| 0 -2 5 -3 }}
| style="text-align:center;" |Zotrigu
| 21.18
| style="text-align:center;" | Septimal Semicomma
| Triru-aquinyo
| style="text-align:center;" | Starling Comma
| Gariboh
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 1029/1024
| 7
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| [[126/125]]
| style="text-align:right;" | 8.43
| {{Monzo| 1 2 -3 1 }}
| style="text-align:center;" |Latrizo
| 13.79
| style="text-align:center;" | Gamelisma
| Zotrigu
| style="text-align:center;" |
| Septimal Semicomma, Starling Comma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 6144/6125
| 7
| |<nowiki> | 11 1 -3 -2 </nowiki>&gt;
| [[81029/1024]]
| style="text-align:right;" | 5.36
| {{Monzo| -10 1 0 3 }}
| style="text-align:center;" |Sarurutrigu
| 8.43
| style="text-align:center;" | Porwell
| Latrizo
| style="text-align:center;" |
| Gamelisma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" |
| 7
| |<nowiki> | 23 6 -14 </nowiki>&gt;
| [[6144/6125]]
| style="text-align:right;" | 3.34
| {{Monzo| 11 1 -3 -2 }}
| style="text-align:center;" |Sasepbiru
| 5.36
| style="text-align:center;" | Vishnuzma
| Sarurutrigu
| style="text-align:center;" | Semisuper
| Porwell
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 121/120
| 11
| |<nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| [[121/120]]
| style="text-align:right;" | 14.37
| {{Monzo| -3 -1 -1 0 2 }}
| style="text-align:center;" |Lologu
| 14.37
| style="text-align:center;" | Biyatisma
| Lologu
| style="text-align:center;" |
| Biyatisma
| style="text-align:center;" |
|-
|-
| 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;" |
|-
|-
| style="text-align:center;" | 385/384
| 11
| |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| [[385/384]]
| style="text-align:right;" | 4.50
| {{Monzo| -7 -1 1 1 1 }}
| style="text-align:center;" |Lozoyo
| 4.50
| style="text-align:center;" | Keenanisma
| Lozoyo
| style="text-align:center;" |
| Keenanisma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 441/440
| 11
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| [[441/440]]
| style="text-align:right;" | 3.93
| {{Monzo| -3 2 -1 2 -1 }}
| style="text-align:center;" |Luzozogu
| 3.93
| style="text-align:center;" | Werckisma
| Luzozogu
| style="text-align:center;" |
| Werckisma
| style="text-align:center;" |
|-
|-
| style="text-align:center;" | 3025/3024
| 11
| |<nowiki> | -4 -3 2 -1 2 </nowiki>&gt;
| [[3025/3024]]
| style="text-align:right;" | 0.57
| {{Monzo| -4 -3 2 -1 2 }}
| style="text-align:center;" |Loloruyoyo
| 0.57
| style="text-align:center;" | Lehmerisma
| Loloruyoyo
| style="text-align:center;" |
| Lehmerisma
| style="text-align:center;" |
|}
|}
<references/>


==Armodue Theory (4-line staff)==
==Armodue Theory (4-line staff)==