5edf: Difference between revisions
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| Line 8: | Line 8: | ||
!octave-reduced cents value | !octave-reduced cents value | ||
!approximate ratios | !approximate ratios | ||
|- | |- | ||
| colspan="2" |0 | | colspan="2" |0 | ||
| | | | ||
|[[1/1]] | |[[1/1]] | ||
|- | |- | ||
|1 | |1 | ||
| Line 19: | Line 17: | ||
| | | | ||
|[[13/12]], [[49/45]] | |[[13/12]], [[49/45]] | ||
|- | |- | ||
|2 | |2 | ||
| Line 25: | Line 22: | ||
| | | | ||
|[[75/64]], [[20/17]], [[13/11]] | |[[75/64]], [[20/17]], [[13/11]] | ||
|- | |- | ||
|3 | |3 | ||
| Line 31: | Line 27: | ||
| | | | ||
|[[14/11]], [[23/18]] | |[[14/11]], [[23/18]] | ||
|- | |- | ||
|4 | |4 | ||
| Line 37: | Line 32: | ||
| | | | ||
|[[11/8]], [[18/13]], [[25/18]] | |[[11/8]], [[18/13]], [[25/18]] | ||
|- | |- | ||
|5 | |5 | ||
| Line 43: | Line 37: | ||
| | | | ||
|[[3/2]] | |[[3/2]] | ||
|- | |- | ||
|6 | |6 | ||
| Line 49: | Line 42: | ||
| | | | ||
|[[21/13]], [[13/8]], [[18/11]] | |[[21/13]], [[13/8]], [[18/11]] | ||
|- | |- | ||
|7 | |7 | ||
| Line 55: | Line 47: | ||
| | | | ||
|[[7/4]], [[30/17]] | |[[7/4]], [[30/17]] | ||
|- | |- | ||
|8 | |8 | ||
|1123.128 | |1123.128 | ||
| | | | ||
| | | | ||
|- | |- | ||
! colspan=" | ! colspan="4" |second octave | ||
|- | |- | ||
|9 | |9 | ||
|1263.519 | |1263.519 | ||
|63.519 | |63.519 | ||
| | | | ||
|- | |- | ||
| Line 74: | Line 63: | ||
|1403.910 | |1403.910 | ||
|203.910 | |203.910 | ||
| | | | ||
|- | |- | ||
! colspan=" | ! colspan="4" |nonet | ||
|- | |- | ||
|11 | |11 | ||
|1544.301 | |1544.301 | ||
|344.301 | |344.301 | ||
| | | | ||
|- | |- | ||
| Line 88: | Line 75: | ||
|1684.692 | |1684.692 | ||
|484.692 | |484.692 | ||
| | | | ||
|- | |- | ||
| Line 94: | Line 80: | ||
|1825.083 | |1825.083 | ||
|625.083 | |625.083 | ||
| | | | ||
|- | |- | ||
| Line 100: | Line 85: | ||
|1965.474 | |1965.474 | ||
|765.474 | |765.474 | ||
| | | | ||
|- | |- | ||
| Line 106: | Line 90: | ||
|2105.865 | |2105.865 | ||
|905.865 | |905.865 | ||
| | | | ||
|- | |- | ||
| Line 112: | Line 95: | ||
|2246.256 | |2246.256 | ||
|1046.256 | |1046.256 | ||
| | | | ||
|- | |- | ||
| Line 118: | Line 100: | ||
|2386.647 | |2386.647 | ||
|1186.647 | |1186.647 | ||
| | | | ||
|} | |} | ||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 08:54, 17 February 2023
| ← 4edf | 5edf | 6edf → |
5EDF is the equal division of the just perfect fifth into five parts of 140.391 cents each, corresponding to 8.5476 edo. It is close to the Bleu generator chain and every second step of 17edo.
Intervals
| degree | cents value | octave-reduced cents value | approximate ratios |
|---|---|---|---|
| 0 | 1/1 | ||
| 1 | 140.391 | 13/12, 49/45 | |
| 2 | 280.782 | 75/64, 20/17, 13/11 | |
| 3 | 421.173 | 14/11, 23/18 | |
| 4 | 561.564 | 11/8, 18/13, 25/18 | |
| 5 | 701.955 | 3/2 | |
| 6 | 842.346 | 21/13, 13/8, 18/11 | |
| 7 | 982.737 | 7/4, 30/17 | |
| 8 | 1123.128 | ||
| second octave | |||
| 9 | 1263.519 | 63.519 | |
| 10 | 1403.910 | 203.910 | |
| nonet | |||
| 11 | 1544.301 | 344.301 | |
| 12 | 1684.692 | 484.692 | |
| 13 | 1825.083 | 625.083 | |
| 14 | 1965.474 | 765.474 | |
| 15 | 2105.865 | 905.865 | |
| 16 | 2246.256 | 1046.256 | |
| 17 | 2386.647 | 1186.647 | |