17ed4: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
{{Infobox ET|51ed64}} | {{Infobox ET|51ed64}} | ||
<!-- | <!--Using ED64 as temporary solution until Infobox ET starts working with ED4s--> | ||
'''17ed4''' is the [[Ed4|equal division of the double octave]] into 17 parts of 141. | '''17ed4''' is the [[Ed4|equal division of the double octave]] into 17 parts of 141.18 [[cent|cents]] each, corresponding to 8.5edo or every second step of [[17edo]]. | ||
==Scales and temperaments== | ==Scales and temperaments== | ||
TBA | TBA | ||
==Intervals== | ==Intervals== | ||
{|wikitable | {|class="wikitable" | ||
|- | |- | ||
!# | !# | ||
| Line 12: | Line 12: | ||
|- | |- | ||
|0 | |0 | ||
|0. | |0.00 | ||
|[[1/1]] | |[[1/1]] | ||
|- | |- | ||
|1 | |1 | ||
|141. | |141.18 | ||
|[[13/12]], [[12/11]], [[14/13]], [[25/23]] | |[[13/12]], [[12/11]], [[14/13]], [[25/23]] | ||
|- | |- | ||
|2 | |2 | ||
| | |282.36 | ||
|[[13/11]], [[7/6]] | |||
|- | |||
|3 | |||
|423.54 | |||
|[[32/25]], [[9/7]], [[14/11]], [[33/26]], [[23/18]] | |||
|- | |||
|4 | |||
|564.72 | |||
|[[11/8]], [[18/13]], [[32/23]] | |||
|- | |||
|5 | |||
|705.90 | |||
|[[3/2]], [[32/21]] | |||
|- | |||
|6 | |||
|847.08 | |||
|[[13/8]], [[18/11]], [[23/14]] | |||
|- | |||
|7 | |||
|988.26 | |||
|[[16/9]], [[7/4]], [[25/14]], [[44/25]], [[23/13]] | |||
|- | |||
|8 | |||
|1129.44 | |||
|[[25/13]], [[48/25]], [[27/14]], [[64/33]], [[23/12]] | |||
|- | |||
|9 | |||
|1270.62 | |||
|[[15/7]] | |||
|- | |||
|10 | |||
|1411.80 | |||
|[[16/7]] | |||
|- | |||
|11 | |||
|1552.98 | |||
|[[12/5]], [[5/2]] | |||
|- | |||
|12 | |||
|1694.16 | |||
|[[8/3]] | |||
|- | |||
|13 | |||
|1835.34 | |||
|[[3/1]] | |||
|- | |||
|14 | |||
|1976.52 | |||
|[[16/5]] | |||
|- | |||
|15 | |||
|2117.70 | |||
|[[10/3]] | |||
|- | |||
|16 | |||
|2258.88 | |||
|[[11/3]] | |||
|- | |||
|17 | |||
|2400.00 | |||
|[[4/1]] | |||
|} | |} | ||
[[Category:Macrotonal]] | [[Category:Macrotonal]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
[[Category:Ed4]] | [[Category:Ed4]] | ||
Revision as of 07:22, 20 March 2023
| ← 50ed64 | 51ed64 | 52ed64 → |
17ed4 is the equal division of the double octave into 17 parts of 141.18 cents each, corresponding to 8.5edo or every second step of 17edo.
Scales and temperaments
TBA
Intervals
| # | Cents | Approximate ratios |
|---|---|---|
| 0 | 0.00 | 1/1 |
| 1 | 141.18 | 13/12, 12/11, 14/13, 25/23 |
| 2 | 282.36 | 13/11, 7/6 |
| 3 | 423.54 | 32/25, 9/7, 14/11, 33/26, 23/18 |
| 4 | 564.72 | 11/8, 18/13, 32/23 |
| 5 | 705.90 | 3/2, 32/21 |
| 6 | 847.08 | 13/8, 18/11, 23/14 |
| 7 | 988.26 | 16/9, 7/4, 25/14, 44/25, 23/13 |
| 8 | 1129.44 | 25/13, 48/25, 27/14, 64/33, 23/12 |
| 9 | 1270.62 | 15/7 |
| 10 | 1411.80 | 16/7 |
| 11 | 1552.98 | 12/5, 5/2 |
| 12 | 1694.16 | 8/3 |
| 13 | 1835.34 | 3/1 |
| 14 | 1976.52 | 16/5 |
| 15 | 2117.70 | 10/3 |
| 16 | 2258.88 | 11/3 |
| 17 | 2400.00 | 4/1 |