User:CompactStar/8edso: Difference between revisions
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{{Novelty}} | |||
'''8 equal divisions of the superoctave''' is a [[super-pitch]] tuning system that tetratively divides the superoctave into 8 equally spaced steps. | '''8 equal divisions of the superoctave''' is a [[super-pitch]] tuning system that tetratively divides the superoctave into 8 equally spaced steps. | ||
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!Step | !Step | ||
!Linear value | !Linear value | ||
!Cents | |||
!Tetrative intervals | !Tetrative intervals | ||
!Common JI approximation | !Common JI approximation | ||
| Line 13: | Line 15: | ||
|0 | |0 | ||
|1 | |1 | ||
|0.000 | |||
| | | | ||
|[[1/1]] exact | |[[1/1]] exact | ||
| Line 18: | Line 21: | ||
|1 | |1 | ||
|1.11149118 | |1.11149118 | ||
|182.996 | |||
| | | | ||
|[[10/9]] | |[[10/9]] | ||
| Line 23: | Line 27: | ||
|2 | |2 | ||
|1.22436140 | |1.22436140 | ||
|350.435 | |||
|log(log(5)) = [[5/1]] reduced | |log(log(5)) = [[5/1]] reduced | ||
|[[5/4]], [[11/9]] | |[[5/4]], [[11/9]] | ||
| Line 28: | Line 33: | ||
|3 | |3 | ||
|1.33973255 | |1.33973255 | ||
|506.334 | |||
| | | | ||
|[[4/3]] | |[[4/3]] | ||
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|4 | |4 | ||
|1.45878181 | |1.45878181 | ||
|653.717 | |||
| | | | ||
|[[16/11]], [[19/13]] | |[[16/11]], [[19/13]] | ||
| Line 38: | Line 45: | ||
|5 | |5 | ||
|1.58278746 | |1.58278746 | ||
|794.961 | |||
|log(3) = [[3/1]] reduced | |log(3) = [[3/1]] reduced | ||
|[[8/5]], [[11/7]], [[19/12]] | |[[8/5]], [[11/7]], [[19/12]] | ||
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|6 | |6 | ||
|1.71318047 | |1.71318047 | ||
|932.013 | |||
| | | | ||
|[[12/7]] | |[[12/7]] | ||
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|7 | |7 | ||
|1.85160598 | |1.85160598 | ||
|1066.533 | |||
| | | | ||
|[[11/6]], [[13/7]] | |[[11/6]], [[13/7]] | ||
| Line 53: | Line 63: | ||
|8 | |8 | ||
|2 | |2 | ||
|1200.000 | |||
| | | | ||
|[[2/1]] exact | |[[2/1]] exact | ||
|} | |} | ||