Kite's ups and downs notation: Difference between revisions

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==Examples: EDOs 12-24==
==Examples: EDOs 12-24==


See a specific EDO's  [[EDO]] page for its up/down notation. If 7 fifths equals X edosteps, the EDO is sharp-X. If X is negative, the EDO is flat-Y, where Y = |X|. Sharp-1 and flat-1 EDOs are the only EDOs that don't need ups and downs.  
Sharp-1, flat-2, etc. refer to the number of EDOsteps made by seven 5ths minus four 8ves.
 
12-edo is sharp-1, thus doesn't need ups and downs.  
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |[[12-edo|'''12-edo''']]
| rowspan="2" |[[12-edo|'''12-edo''']]
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|-
|-
| rowspan="2" |sharp raises the pitch,
| rowspan="2" |sharp raises the pitch,
and major wider than minor  
major wider than minor  
|'''D'''   
|'''D'''   
|'''E'''   
|'''E'''   
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|}
|}


Because every 14-edo interval is perfect, the quality can be omitted.
Because every 14-edo interval is perfect, the quality can be omitted. 14-edo contains 2 rings of 7-edo: an up/down-ring and a plain-ring.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[14-edo]]'''
| rowspan="2" |'''[[14-edo]]'''
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|8
|8
|}
|}
 
15-edo contains 3 rings of 5-edo: an up-ring, a down-ring, and a plain-ring.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[15-edo]]'''
| rowspan="2" |'''[[15-edo]]'''
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|  P8
|  P8
|}
|}
 
16-edo is flat-1, thus doesn't need ups and downs. There are two ways to notate it.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="4" |'''[[16-edo]]'''
| rowspan="4" |'''[[16-edo]]'''
flat-1
flat-1
| rowspan="2" |sharp lowers,
| rowspan="2" |sharp lowers the pitch,
major narrower than minor
major narrower than minor
|'''D'''   
|'''D'''   
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|  P8
|  P8
|-
|-
| rowspan="2" | sharp raises,
| rowspan="2" | sharp raises the pitch,
major wider than minor
major wider than minor
|'''D'''  
|'''D'''  
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| P8
| P8
|}
|}
 
17-edo is sharp-2 and has mid intervals.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[17edo|17-edo]]'''
| rowspan="2" |'''[[17edo|17-edo]]'''
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|  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.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="4" |'''[[18-edo|18b-edo]]'''
| rowspan="4" |'''[[18-edo|18b-edo]]'''
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|  P8
|  P8
|}
|}
 
19-edo is sharp-1, thus doesn't need ups and downs.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[19-edo]]'''
| rowspan="2" |'''[[19-edo]]'''
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|  P8
|  P8
|}
|}
 
20-edo contains 4 rings of 5-edo: an up-ring, a down-ring, a double-up/down-ring, and a plain-ring.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[20-edo]]'''
| rowspan="2" |'''[[20-edo]]'''
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|  P8
|  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.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[21-edo]]'''
| rowspan="2" |'''[[21-edo]]'''
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|  8
|  8
|}
|}
 
22-edo is sharp-3.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" |'''[[22-edo]]'''
| rowspan="2" |'''[[22-edo]]'''
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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.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="4" |'''[[23-edo]]'''
| rowspan="4" |'''[[23-edo]]'''
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| P8
| P8
|}
|}
 
24-edo contains 2 rings of 12-edo: an up/down-ring and a plain-ring.
{| class="wikitable" style="text-align:center;"  
{| class="wikitable" style="text-align:center;"  
| rowspan="2" | '''[[24-edo]]'''
| rowspan="2" | '''[[24-edo]]'''