17edo: Difference between revisions
General cleanup |
Comma table cleanup |
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| ja = 17平均律 | | ja = 17平均律 | ||
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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- | {| 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- | | 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 | | 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 | | Septimal comma | ||
| Archytas' | | Archytas' comma | ||
| Leipziger Komma | | Leipziger Komma | ||
|- | |- | ||
| " | |||
| 245/243 | | 245/243 | ||
| {{Monzo | 0 -5 1 2 }} | | {{Monzo | 0 -5 1 2 }} | ||
| Line 563: | Line 568: | ||
| | | | ||
|- | |- | ||
| " | |||
| 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 | | 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 }} | ||
| Line 611: | Line 622: | ||
| | | | ||
|- | |- | ||
| 13 | |||
| 1352/1331 | | 1352/1331 | ||
| {{Monzo| 3 0 0 0 -3 2 }} | | {{Monzo| 3 0 0 0 -3 2 }} | ||
| 27. | | 27.101 | ||
| Bithotrilu | | Bithotrilu | ||
| Lovecraft | | Lovecraft comma | ||
| | | | ||
| | | | ||