29edo: Difference between revisions

Xenwolf (talk | contribs)
Commas: monzos via template, write out limits
Xenwolf (talk | contribs)
Commas: rework commatable
Line 545: Line 545:
29 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 29 46 67 81 100 107 }}, cent values rounded to 5 digits.)
29 EDO [[tempers out]] the following [[commas]]. (Note: This assumes the [[val]] {{val| 29 46 67 81 100 107 }}, cent values rounded to 5 digits.)


{| 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]]
! [[Cents]]
! [[Color name]]
! [[Color name]]
! Name 1
! Name(s)
! Name 2
|-
|-
| 5
| 5
| 16875/16384
| [[16875/16384]]
| {{Monzo| -14 3 4 }}
| {{Monzo| -14 3 4 }}
| 51.120
| 51.120
| Laquadyo
| Laquadyo
| Negri comma
| Negri comma, double augmentation diesis
| Double augmentation diesis
|-
|-
| 5
| 5
| 250/243
| [[250/243]]
| {{Monzo| 1 -5 3 }}
| {{Monzo| 1 -5 3 }}
| 49.166
| 49.166
| Triyo
| Triyo
| Maximal diesis
| Maximal diesis, Porcupine comma
| Porcupine comma
|-
|-
| 5
| 5
| 32805/32768
| [[32805/32768]]
| {{Monzo| -15 8 1 }}
| {{Monzo| -15 8 1 }}
| 1.9537
| 1.9537
| Layo
| Layo
| Schisma
| Schisma
|
|-
|-
| 7
| 7
| 525/512
| [[525/512]]
| {{Monzo| -9 1 2 1 }}
| {{Monzo| -9 1 2 1 }}
| 43.408
| 43.408
| Lazoyoyo
| Lazoyoyo
| Avicennma
| Avicennma, Avicenna's enharmonic diesis
| Avicenna's enharmonic diesis
|-
|-
| 7
| 7
| 49/48
| [[49/48]]
| {{Monzo| -4 -1 0 2 }}
| {{Monzo| -4 -1 0 2 }}
| 35.697
| 35.697
| Zozo
| Zozo
| Slendro diesis
| Slendro diesis
|
|-
|-
| 7
| 7
| 686/675
| [[686/675]]
| {{Monzo| 1 -3 -2 3 }}
| {{Monzo| 1 -3 -2 3 }}
| 27.985
| 27.985
| Trizo-agugu
| Trizo-agugu
| Senga
| Senga
|
|-
|-
| 7
| 7
| 64827/64000
| [[64827/64000]]
| {{Monzo| -9 3 -3 4 }}
| {{Monzo| -9 3 -3 4 }}
| 22.227
| 22.227
| Laquadzo-atrigu
| Laquadzo-atrigu
| Squalentine
| Squalentine
|
|-
|-
| 7
| 7
| 3125/3087
| [[3125/3087]]
| {{Monzo| 0 -2 5 -3 }}
| {{Monzo| 0 -2 5 -3 }}
| 21.181
| 21.181
| Triru-aquinyo
| Triru-aquinyo
| Gariboh
| Gariboh
|
|-
|-
| 7
| 7
| 50421/50000
| [[50421/50000]]
| {{Monzo| -4 1 -5 5 }}
| {{Monzo| -4 1 -5 5 }}
| 14.516
| 14.516
| Quinzogu
| Quinzogu
| Trimyna
| Trimyna
|
|-
|-
| 7
| 7
| 4000/3969
| [[4000/3969]]
| {{Monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
| 13.469
| 13.469
| Rurutriyo
| Rurutriyo
| Octagar
| Octagar
|
|-
|-
| 7
| 7
| 225/224
| [[225/224]]
| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| 7.7115
| 7.7115
| Ruyoyo
| Ruyoyo
| Septimal kleisma
| Septimal kleisma, Marvel comma
| Marvel comma
|-
|-
| 7
| 7
| 5120/5103
| [[5120/5103]]
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
| 5.7578
| 5.7578
| Saruyo
| Saruyo
| Hemifamity
| Hemifamity
|
|-
|-
| 7
| 7
|  
| [[33554432/33480783|(16 digits)]]
| {{Monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
| 3.8041
| 3.8041
| Sasaru
| Sasaru
| Garischisma
| [[Garischisma]]
|
|-
|-
| 11
| 11
| 100/99
| [[100/99]]
| {{Monzo| 2 -2 2 0 -1 }}
| {{Monzo| 2 -2 2 0 -1 }}
| 17.399
| 17.399
| Luyoyo
| Luyoyo
| Ptolemisma
| Ptolemisma
|
|-
|-
| 11
| 11
| 121/120
| [[121/120]]
| {{Monzo| -3 -1 -1 0 2 }}
| {{Monzo| -3 -1 -1 0 2 }}
| 14.367
| 14.367
| Lologu
| Lologu
| Biyatisma
| Biyatisma
|
|-
|-
| 11
| 11
| 896/891
| [[896/891]]
| {{Monzo| 7 -4 0 1 -1 }}
| {{Monzo| 7 -4 0 1 -1 }}
| 9.6880
| 9.6880
| Saluzo
| Saluzo
| Pentacircle
| Pentacircle
|
|-
|-
| 11
| 11
| 441/440
| [[441/440]]
| {{Monzo| -3 2 -1 2 -1 }}
| {{Monzo| -3 2 -1 2 -1 }}
| 3.9302
| 3.9302
| Luzozogu
| Luzozogu
| Werckisma
| Werckisma
|
|-
|-
| 11
| 11
| 4000/3993
| [[4000/3993]]
| {{Monzo| 5 -1 3 0 -3 }}
| {{Monzo| 5 -1 3 0 -3 }}
| 3.0323
| 3.0323
| Trithuyo
| Trithuyo
| Wizardharry
| Wizardharry
|
|-
|-
| 11
| 11
| 9801/9800
| [[9801/9800]]
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
| 0.17665
| 0.17665
| 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 }}
| 19.130
| 19.130
| Thozogu
| Thozogu
| Superleap
| Superleap
|
|}
|}
<references/>


== Linear temperaments ==
== Linear temperaments ==