Xenharmonic Wiki

12edo: Difference between revisions

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VisualWikitext
General cleanup. Really confusing when there were two sections of intervals.
Comma table cleanup
Line 272: Line 272:
12 EDO [[tempering_out|tempers out]] the following [[Comma|commas]]. (Note: This assumes [[val]] {{val| 12 19 28 34 42 44 }}.)
12 EDO [[tempering_out|tempers out]] the following [[Comma|commas]]. (Note: This assumes [[val]] {{val| 12 19 28 34 42 44 }}.)


{| class="wikitable center-all left-2 right-3"
{| class="wikitable center-all left-3 right-4"
|-
|-
! [[Harmonic limit|Prime<br>limit]]
! Rational
! Rational
! Monzo
! Monzo
! Cents
! Cents
![[Color notation/Temperament Names|Color Name]]
! [[Color notation/Temperament Names|Color Name]]
! Name 1
! Name 1
! Name 2
! Name 2
! Name 3
! Name 3
|-
|-
| 3
| [[531441/524288]]
| {{Monzo| -19 12 }}
| 23.46
| Lalawa
| Pythagorean comma
|
|
|-
| 5
| [[648/625]]
| [[648/625]]
| {{Monzo| 3 4 -4 }}
| {{Monzo| 3 4 -4 }}
Line 290: Line 301:
|  
|  
|-
|-
| [[36/35]]
| "
| {{Monzo| 2 2 -1 -1 }}
| 48.77
| Rugu
| Septimal quartertone
|
|
|-
| [[128/125]]
| [[128/125]]
| {{Monzo| 7 0 -3 }}
| {{Monzo| 7 0 -3 }}
Line 306: Line 310:
|  
|  
|-
|-
| [[50/49]]
| "
| {{Monzo| 1 0 2 -2 }}
| 34.98
| Biruyo
| Tritonic diesis
| Jubilisma
|
|-
| [[64/63]]
| {{Monzo| 6 -2 0 -1 }}
| 27.26
| Ru
| Septimal comma
| Archytas' comma
| Leipziger Komma
|-
| [[531441/524288]]
| {{Monzo| -19 12 }}
| 23.46
| Lalawa
| Pythagorean comma
|
|
|-
| [[81/80]]
| [[81/80]]
| {{Monzo| -4 4 -1 }}
| {{Monzo| -4 4 -1 }}
Line 338: Line 319:
| Meantone comma
| Meantone comma
|-
|-
| 3125/3087
| "
| {{Monzo| 0 -2 5 -3 }}
| 21.18
| Triru-aquinyo
| Gariboh
|
|
|-
| 2048/2025
| 2048/2025
| {{Monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
Line 354: Line 328:
|  
|  
|-
|-
| 91/90
| "
| {{Monzo| -1 -2 -1 1 0 1 }}
| 19.13
| Thozogu
| Superleap
|
|
|-
| 5201701/5149091
| 5201701/5149091
| {{Monzo| 26 -12 -3 }}
| {{Monzo| 26 -12 -3 }}
Line 370: Line 337:
|  
|  
|-
|-
| [[99/98]]
| "
| {{Monzo| -1 2 0 -2 1 }}
| [[32805/32768|32805/32768]]
| 17.58
| {{Monzo| -15 8 1 }}
| Loruru
| 1.95
| Mothwellsma
| Layo
| Schisma
|
|
|-
| "
|
| {{Monzo| 161 -84 -12 }}
| 0.02
| Sepbisa-quadtrigu
| Atom
|
|
|-
| 7
| [[36/35]]
| {{Monzo| 2 2 -1 -1 }}
| 48.77
| Rugu
| Septimal quartertone
|  
|  
|  
|  
|-
|-
| [[100/99]]
| "
| {{Monzo| 2 -2 2 0 -1 }}
| [[50/49]]
| 17.40
| {{Monzo| 1 0 2 -2 }}
| Luyoyo
| 34.98
| Ptolemisma
| Biruyo
| Tritonic diesis
| Jubilisma
|
|-
| "
| [[64/63]]
| {{Monzo| 6 -2 0 -1 }}
| 27.26
| Ru
| Septimal comma
| Archytas' comma
| Leipziger Komma
|-
| "
| 3125/3087
| {{Monzo| 0 -2 5 -3 }}
| 21.18
| Triru-aquinyo
| Gariboh
|  
|  
|  
|  
|-
|-
| "
| [[126/125]]
| [[126/125]]
| {{Monzo| 1 2 -3 1 }}
| {{Monzo| 1 2 -3 1 }}
Line 394: Line 400:
|  
|  
|-
|-
| "
| 4000/3969
| 4000/3969
| {{Monzo| 5 -4 3 -2 }}
| {{Monzo| 5 -4 3 -2 }}
Line 402: Line 409:
|  
|  
|-
|-
| 176/175
| "
| {{Monzo| 4 0 -2 -1 1 }}
| 9.86
| Lorugugu
| Valinorsma
|
|
|-
| 896/891
| {{Monzo| 7 -4 0 1 -1 }}
| 9.69
| Saluzo
| Pentacircle
|
|
|-
| 321489/320000
| 321489/320000
| {{Monzo| -9 8 -4 2 }}
| {{Monzo| -9 8 -4 2 }}
Line 426: Line 418:
|  
|  
|-
|-
| "
| [[225/224]]
| [[225/224]]
| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
Line 434: Line 427:
|  
|  
|-
|-
| "
| 3136/3125
| 3136/3125
| {{Monzo| 6 0 -5 2 }}
| {{Monzo| 6 0 -5 2 }}
Line 442: Line 436:
|  
|  
|-
|-
| "
| 5120/5103
| 5120/5103
| {{Monzo| 10 -6 1 -1 }}
| {{Monzo| 10 -6 1 -1 }}
Line 450: Line 445:
|  
|  
|-
|-
| 441/440
| "
| {{Monzo| -3 2 -1 2 -1 }}
| 3.93
| Luzozogu
| Werckisma
|
|
|-
| 33554432/33480783
| 33554432/33480783
| {{Monzo| 25 -14 0 -1 }}
| {{Monzo| 25 -14 0 -1 }}
Line 466: Line 454:
|  
|  
|-
|-
| [[32805/32768|32805/32768]]
| "
| {{Monzo| -15 8 1 }}
| 1.95
| Layo
| Schisma
|
|
|-
| 703125/702464
| 703125/702464
| {{Monzo| -11 2 7 -3 }}
| {{Monzo| -11 2 7 -3 }}
Line 482: Line 463:
|  
|  
|-
|-
| "
| 250047/250000
| 250047/250000
| {{Monzo| -4 6 -6 3 }}
| {{Monzo| -4 6 -6 3 }}
Line 490: Line 472:
|  
|  
|-
|-
| 11
| [[99/98]]
| {{Monzo| -1 2 0 -2 1 }}
| 17.58
| Loruru
| Mothwellsma
|
|
|-
| "
| [[100/99]]
| {{Monzo| 2 -2 2 0 -1 }}
| 17.40
| Luyoyo
| Ptolemisma
|
|
|-
| "
| 176/175
| {{Monzo| 4 0 -2 -1 1 }}
| 9.86
| Lorugugu
| Valinorsma
|
|
|-
| "
| 896/891
| {{Monzo| 7 -4 0 1 -1 }}
| 9.69
| Saluzo
| Pentacircle
|
|
|-
| "
| 441/440
| {{Monzo| -3 2 -1 2 -1 }}
| 3.93
| Luzozogu
| Werckisma
|
|
|-
| "
| 9801/9800
| 9801/9800
| {{Monzo| -3 4 -2 -2 2 }}
| {{Monzo| -3 4 -2 -2 2 }}
Line 498: Line 526:
|  
|  
|-
|-
|  
| 13
| {{Monzo| 161 -84 -12 }}
| 91/90
| 0.02
| {{Monzo| -1 -2 -1 1 0 1 }}
| Sepbisa-quadtrigu
| 19.13
| Atom
| Thozogu
| Superleap
|  
|  
|  
|  
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