5edt: Difference between revisions
m Infobox ET added |
clean up |
||
Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro}} | |||
== Theory == | |||
5edt has steps too large to be used melodically, though it has some notable harmonic properties shared by other 5n-edts (such as [[10edt]], [[15edt]], etc.). It has a surprisingly accurate [[5/4]] major third (only 5.92 [[cents]] flat), five of them making a tritave. (This phenomenon cannot be seen in single-digit [[edo]]s, and it is not until [[19edo]] that an approximation of 5/4 to within 10 cents can be seen.) 5edt therefore tempers out [[3125/3072]], the magic comma. Two of these major thirds give a septimal minor sixth, meaning that it also tempers out the marvel comma [[225/224]]. | |||
5edt is the lowest equal division of the tritave to encompass elements of [[5-limit]] harmony. The available chords are 4:5:12 and 5:12:15; being inversions of each other, they essentially act as "major" and "minor" chords. This is similar to [[6edt]], which contains the same chords but with the major thirds transposed an octave higher, and vice versa. Also available is the chord 9:14:27, which can express the single [[7-limit]] consonance found in 5edt. | |||
=== Harmonics === | |||
{{Harmonics in equal|5|3|1}} | |||
== Steps == | == Steps == | ||
Line 34: | Line 43: | ||
| 1521.564 | | 1521.564 | ||
| 1040 | | 1040 | ||
| [[12/5]] ([[ | | [[12/5]] ([[6/5]] plus an octave) | ||
|- | |- | ||
| 5 | | 5 | ||
Line 41: | Line 50: | ||
| [[3/1]] | | [[3/1]] | ||
|} | |} | ||
[[Category:Edt]] | [[Category:Edt]] |