Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
| Line 343: |
Line 343: |
| * Pentatonic (meantone) 2L3s 22323 (generator = 7\12) | | * Pentatonic (meantone) 2L3s 22323 (generator = 7\12) |
| * Diminished 4L4s 12121212 (generator = 1\12, period = 3\12) | | * Diminished 4L4s 12121212 (generator = 1\12, period = 3\12) |
|
| |
| == Commas ==
| |
| 12 EDO [[tempers out]] the following [[comma]]s. This assumes [[val]] {{val| 12 19 28 34 42 44 }}.
| |
|
| |
| {| class="commatable wikitable center-all left-3 right-4 left-6"
| |
| |-
| |
| ! [[Harmonic limit|Prime<br>limit]]
| |
| ! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
| |
| ! [[Monzo]]
| |
| ! [[Cent]]s
| |
| ! [[Color name]]
| |
| ! Name(s)
| |
| |-
| |
| | 3
| |
| | [[531441/524288|(12 digits)]]
| |
| | {{monzo| -19 12 }}
| |
| | 23.46
| |
| | Lalawa
| |
| | [[Pythagorean comma]]
| |
| |-
| |
| | 5
| |
| | [[648/625]]
| |
| | {{monzo| 3 4 -4 }}
| |
| | 62.57
| |
| | Quadgu
| |
| | Major diesis, diminished comma
| |
| |-
| |
| | 5
| |
| | [[128/125]]
| |
| | {{monzo| 7 0 -3 }}
| |
| | 41.06
| |
| | Trigu
| |
| | Diesis, augmented comma
| |
| |-
| |
| | 5
| |
| | [[81/80]]
| |
| | {{monzo| -4 4 -1 }}
| |
| | 21.51
| |
| | Gu
| |
| | Syntonic comma, Didymus comma, meantone comma
| |
| |-
| |
| | 5
| |
| | [[2048/2025]]
| |
| | {{monzo| 11 -4 -2 }}
| |
| | 19.55
| |
| | Sagugu
| |
| | Diaschisma
| |
| |-
| |
| | 5
| |
| | [[67108864/66430125|(16 digits)]]
| |
| | {{monzo| 26 -12 -3 }}
| |
| | 17.60
| |
| | Sasa-trigu
| |
| | [[Misty comma]]
| |
| |-
| |
| | 5
| |
| | [[32805/32768]]
| |
| | {{monzo| -15 8 1 }}
| |
| | 1.95
| |
| | Layo
| |
| | Schisma
| |
| |-
| |
| | 5
| |
| | <abbr title="2923003274661805836407369665432566039311865085952/2922977339492680612451840826835216578535400390625">(98 digits)</abbr>
| |
| | {{monzo| 161 -84 -12 }}
| |
| | 0.02
| |
| | Sepbisa-quadtrigu
| |
| | [[Atom]]
| |
| |-
| |
| | 7
| |
| | [[36/35]]
| |
| | {{monzo| 2 2 -1 -1 }}
| |
| | 48.77
| |
| | Rugu
| |
| | Septimal quartertone
| |
| |-
| |
| | 7
| |
| | [[50/49]]
| |
| | {{monzo| 1 0 2 -2 }}
| |
| | 34.98
| |
| | Biruyo
| |
| | Tritonic diesis, jubilisma
| |
| |-
| |
| | 7
| |
| | [[64/63]]
| |
| | {{monzo| 6 -2 0 -1 }}
| |
| | 27.26
| |
| | Ru
| |
| | Septimal comma, Archytas' comma, Leipziger Komma
| |
| |-
| |
| | 7
| |
| | [[3125/3087]]
| |
| | {{monzo| 0 -2 5 -3 }}
| |
| | 21.18
| |
| | Triru-aquinyo
| |
| | Gariboh
| |
| |-
| |
| | 7
| |
| | [[126/125]]
| |
| | {{monzo| 1 2 -3 1 }}
| |
| | 13.79
| |
| | Zotrigu
| |
| | Septimal semicomma, starling comma
| |
| |-
| |
| | 7
| |
| | [[4000/3969]]
| |
| | {{monzo| 5 -4 3 -2 }}
| |
| | 13.47
| |
| | Rurutriyo
| |
| | Octagar
| |
| |-
| |
| | 7
| |
| | <abbr title="321489/320000">(12 digits)</abbr>
| |
| | {{monzo| -9 8 -4 2 }}
| |
| | 8.04
| |
| | Labizogugu
| |
| | [[Varunisma]]
| |
| |-
| |
| | 7
| |
| | [[225/224]]
| |
| | {{monzo| -5 2 2 -1 }}
| |
| | 7.71
| |
| | Ruyoyo
| |
| | Septimal kleisma, marvel comma
| |
| |-
| |
| | 7
| |
| | [[3136/3125]]
| |
| | {{monzo| 6 0 -5 2 }}
| |
| | 6.08
| |
| | Zozoquingu
| |
| | Hemimean
| |
| |-
| |
| | 7
| |
| | [[5120/5103]]
| |
| | {{monzo| 10 -6 1 -1 }}
| |
| | 5.76
| |
| | Saruyo
| |
| | Hemifamity
| |
| |-
| |
| | 7
| |
| | [[33554432/33480783|(16 digits)]]
| |
| | {{monzo| 25 -14 0 -1 }}
| |
| | 3.80
| |
| | Sasaru
| |
| | [[Garischisma]]
| |
| |-
| |
| | 7
| |
| | [[703125/702464|(12 digits)]]
| |
| | {{monzo| -11 2 7 -3 }}
| |
| | 1.63
| |
| | Latriru-asepyo
| |
| | [[Meter]]
| |
| |-
| |
| | 7
| |
| | <abbr title="250047/250000">(12 digits)</abbr>
| |
| | {{monzo| -4 6 -6 3 }}
| |
| | 0.33
| |
| | Trizogugu
| |
| | [[Landscape comma]]
| |
| |-
| |
| | 11
| |
| | [[99/98]]
| |
| | {{monzo| -1 2 0 -2 1 }}
| |
| | 17.58
| |
| | Loruru
| |
| | Mothwellsma
| |
| |-
| |
| | 11
| |
| | [[100/99]]
| |
| | {{monzo| 2 -2 2 0 -1 }}
| |
| | 17.40
| |
| | Luyoyo
| |
| | Ptolemisma
| |
| |-
| |
| | 11
| |
| | [[176/175]]
| |
| | {{monzo| 4 0 -2 -1 1 }}
| |
| | 9.86
| |
| | Lorugugu
| |
| | Valinorsma
| |
| |-
| |
| | 11
| |
| | [[896/891]]
| |
| | {{monzo| 7 -4 0 1 -1 }}
| |
| | 9.69
| |
| | Saluzo
| |
| | Pentacircle
| |
| |-
| |
| | 11
| |
| | [[441/440]]
| |
| | {{monzo| -3 2 -1 2 -1 }}
| |
| | 3.93
| |
| | Luzozogu
| |
| | Werckisma
| |
| |-
| |
| | 11
| |
| | [[9801/9800]]
| |
| | {{monzo| -3 4 -2 -2 2 }}
| |
| | 0.18
| |
| | Bilorugu
| |
| | Kalisma, Gauss' comma
| |
| |-
| |
| | 13
| |
| | [[91/90]]
| |
| | {{monzo| -1 -2 -1 1 0 1 }}
| |
| | 19.13
| |
| | Thozogu
| |
| | Superleap
| |
| |}
| |
| <references/>
| |
|
| |
|
| == See also == | | == See also == |