27edf: Difference between revisions
Created page with "'''Division of the just perfect fifth into 27 equal parts''' (27EDF) is related to 46 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..." Tags: Mobile edit Mobile web edit |
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'''[[EDF|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to | {{Infobox ET}} | ||
'''[[EDF|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the 6-[[integer-limit]], with discrepancy for the 7th harmonic. | |||
It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo|323]], [[369edo|369]], [[415edo|415]], and [[692edo|692]] EDOs. | |||
Lookalikes: [[46edo]], [[73edt]] | Lookalikes: [[46edo]], [[73edt]] | ||
==Harmonics== | |||
{{Harmonics in equal|27|3|2|intervals=prime|columns=8}} | |||
{{Harmonics in equal|27|3|2|intervals=prime|columns=8|start=9|title=(contd.)}} | |||
==Intervals== | ==Intervals== | ||
{| class="wikitable" | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 27edf | |||
|- | |- | ||
! | degree | ! | degree | ||
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! | comments | ! | comments | ||
|- | |- | ||
| | | | colspan="2"| 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
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|} | |} | ||
{{todo|expand}} | |||