Kite's ups and downs notation: Difference between revisions
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16-edo is flat-1, thus doesn't need ups and downs. There are two ways to notate it. Enharmonic interval: either AA2 or dd2. | Notably, 15edo can be notated in ups and downs notation using only one note name, due to the sharpness of the fifth and resulting wideness of the augmented unison: | ||
{| class="wikitable" style="text-align:center;" | |||
| rowspan="2" |'''[[15-edo]]''' | |||
sharp-3 | |||
uniliteral | |||
|'''D''' | |||
|^D | |||
| vD# | |||
|D# | |||
| ^D# | |||
| vDx | |||
| Dx | |||
|^Dx | |||
|vDbb | |||
|Dbb | |||
|^Dbb | |||
|vDb | |||
| Db | |||
| ^Db | |||
| vD | |||
|'''D''' | |||
|- | |||
|P1 | |||
| ^1 | |||
| vA1 | |||
| A1 | |||
| ^A1 | |||
|vAA1 | |||
| AA1 | |||
| ^AA1 | |||
| vdd8 | |||
| dd8 | |||
| ^dd8 | |||
| vd8 | |||
| d8 | |||
| ^d8 | |||
| v8 | |||
| P8 | |||
|} | |||
16-edo is flat-1, thus doesn't need ups and downs. There are two ways to notate it. Enharmonic interval: either AA2 or dd2. In the latter notation system, fifths don't quite match up with other ups and downs notation systems, since a fifth above B is Fb, not F#. | |||
{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
| rowspan="4" |'''[[16-edo]]''' | | rowspan="4" |'''[[16-edo]]''' | ||
| Line 392: | Line 432: | ||
| P8 | | P8 | ||
|} | |} | ||
18b-edo contains 2 rings of 9-edo: an up/down-ring and a plain-ring. There are two ways to notate it. Enharmonic intervals: either ^^A1 and vvM2, or vvA1 and vvm2. | 18b-edo contains 2 rings of 9-edo: an up/down-ring and a plain-ring. There are two ways to notate it. Enharmonic intervals: either ^^A1 and vvM2, or vvA1 and vvm2. The latter notation suffers from the same problem as the second 16edo notation outlined above. | ||
{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
| rowspan="4" |'''[[18-edo|18b-edo]]''' | | rowspan="4" |'''[[18-edo|18b-edo]]''' | ||
| Line 573: | Line 613: | ||
| vM7 | | vM7 | ||
| P8 | | P8 | ||
|} | |||
And similarly to 15edo, 20edo may be notated with only one note name: | |||
{| class="wikitable" style="text-align:center;" | |||
| rowspan="2" |[[20edo|'''20-edo''']] | |||
sharp-3 | |||
|'''D''' | |||
|^D | |||
|^^D/vvD# | |||
| vD# | |||
|D# | |||
| ^D# | |||
|^^D#/vvDx | |||
| vDx | |||
| Dx | |||
|^Dx | |||
|^^Dx/vvDbb | |||
|vDbb | |||
|Dbb | |||
|^Dbb | |||
|^^Dbb/vvDb | |||
|vDb | |||
| Db | |||
| ^Db | |||
|^^Db/vvD | |||
| vD | |||
|'''D''' | |||
|- | |||
|P1 | |||
| ^1 | |||
|^^1/vvA1 | |||
| vA1 | |||
| A1 | |||
| ^A1 | |||
|^^A1/vvAA1 | |||
|vAA1 | |||
| AA1 | |||
| ^AA1 | |||
|^^AA1/vvdd8 | |||
| vdd8 | |||
| dd8 | |||
| ^dd8 | |||
|^^dd8/vvd8 | |||
| vd8 | |||
| d8 | |||
| ^d8 | |||
|^^d8/vv8 | |||
| v8 | |||
| P8 | |||
|} | |} | ||
Because every 21-edo interval is perfect, the quality can be omitted. 21-edo contains 3 rings of 7-edo: an up-ring, a down-ring and a plain-ring. Enharmonic intervals: A1 and v<sup>3</sup>m2. | Because every 21-edo interval is perfect, the quality can be omitted. 21-edo contains 3 rings of 7-edo: an up-ring, a down-ring and a plain-ring. Enharmonic intervals: A1 and v<sup>3</sup>m2. | ||
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| etc. | | etc. | ||
|} | |} | ||
23-edo is flat-1, thus doesn't need ups and downs. There are two ways to notate it. Enharmonic interval: either A<sup>3</sup>2 or d<sup>3</sup>2. | 23-edo is flat-1, thus doesn't need ups and downs. There are two ways to notate it. Enharmonic interval: either A<sup>3</sup>2 or d<sup>3</sup>2. Like in 16edo, fifths in the latter notation don't always look like fifths in other ups and downs notations, for instance a fifth above B is Fb rather than F#. | ||
{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
| rowspan="4" |'''[[23-edo]]''' | | rowspan="4" |'''[[23-edo]]''' | ||