17edo: Difference between revisions

General cleanup
Comma table cleanup
Line 5: Line 5:
| ja = 17平均律
| ja = 17平均律
}}
}}
__FORCETOC__
17 tone equal temperament, or 17-EDO, divides the octave in 17 equal steps, each 70.588 [[cent]]s in size. It is the seventh [[prime numbers|prime]] [[EDO]], following [[13edo]] and coming before [[19edo]].
17 tone equal temperament, or 17-EDO, divides the octave in 17 equal steps, each 70.588 [[cent]]s in size. It is the seventh [[prime numbers|prime]] [[EDO]], following [[13edo]] and coming before [[19edo]].


Line 505: Line 503:
17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] {{val| 17 27 39 48 59 63 }}, cent values ​​rounded to 5 digits.)
17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] {{val| 17 27 39 48 59 63 }}, cent values ​​rounded to 5 digits.)


{| class="wikitable center-all left-2 right-3"
{| class="wikitable center-all left-3 right-4"
|-
|-
! [[Harmonic limit|Prime<br>Limit]]
! Comma
! Comma
! Monzo
! Monzo
Line 515: Line 514:
! Name 3
! Name 3
|-
|-
| 3
|  
|  
| {{Monzo | 27 -17 }}
| {{Monzo | 27 -17 }}
| 66.765
| 66.765
| Sasawa
| Sasawa
| 17-Comma
| 17-comma
|  
|  
|  
|  
|-
|-
| 5
| 25/24
| 25/24
| {{Monzo | -3 -1 2 }}
| {{Monzo | -3 -1 2 }}
Line 531: Line 532:
|  
|  
|-
|-
| "
| 32805/32768
| 32805/32768
| {{Monzo | -15 8 1 }}
| {{Monzo | -15 8 1 }}
Line 539: Line 541:
|  
|  
|-
|-
| 7
| 525/512
| 525/512
| {{Monzo | -9 1 2 1 }}
| {{Monzo | -9 1 2 1 }}
Line 544: Line 547:
| Zoyoyo
| Zoyoyo
| Avicennma
| Avicennma
| Avicennma's Enharmonic Diesis
| Avicennma's enharmonic diesis
|  
|  
|-
|-
| "
| 64/63
| 64/63
| {{Monzo | 6 -2 0 -1 }}
| {{Monzo | 6 -2 0 -1 }}
| 27.264
| 27.264
| Ru
| Ru
| Septimal Comma
| Septimal comma
| Archytas' Comma
| Archytas' comma
| Leipziger Komma
| Leipziger Komma
|-
|-
| "
| 245/243
| 245/243
| {{Monzo | 0 -5 1 2 }}
| {{Monzo | 0 -5 1 2 }}
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|  
|  
|-
|-
| "
| 1728/1715
| 1728/1715
| {{Monzo | 6 3 -1 -3 }}
| {{Monzo | 6 3 -1 -3 }}
Line 568: Line 574:
| Triru-agu
| Triru-agu
| Orwellisma
| Orwellisma
| Orwell Comma
| Orwell comma
|  
|  
|-
|-
| "
|  
|  
| {{Monzo | -6 -8 2 5 }}
| {{Monzo | -6 -8 2 5 }}
Line 579: Line 586:
|  
|  
|-
|-
| 11
| 99/98
| 99/98
| {{Monzo | -1 2 0 -2 1 }}
| {{Monzo | -1 2 0 -2 1 }}
Line 587: Line 595:
|  
|  
|-
|-
| "
| 896/891
| 896/891
| {{Monzo | 7 -4 0 1 -1 }}
| {{Monzo | 7 -4 0 1 -1 }}
Line 595: Line 604:
|  
|  
|-
|-
| "
| 243/242
| 243/242
| {{Monzo| -1 5 0 0 -2 }}
| {{Monzo| -1 5 0 0 -2 }}
Line 603: Line 613:
|  
|  
|-
|-
| "
| 385/384
| 385/384
| {{Monzo| -7 -1 1 1 1 }}
| {{Monzo| -7 -1 1 1 1 }}
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|  
|  
|-
|-
| 13
| 1352/1331
| 1352/1331
| {{Monzo| 3 0 0 0 -3 2 }}
| {{Monzo| 3 0 0 0 -3 2 }}
| 27.1015
| 27.101
| Bithotrilu
| Bithotrilu
| Lovecraft Comma
| Lovecraft comma
|  
|  
|  
|