5edt: Difference between revisions
m →Other 5n-edts:: ... dto |
reworked |
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| Line 11: | Line 11: | ||
| 0 | | 0 | ||
| 0 | | 0 | ||
| [[ | | [[1/1]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 380.391 | | 380.391 | ||
| [[ | | [[5/4]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 760.782 | | 760.782 | ||
| [[ | | [[14/9]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 1141.173 | | 1141.173 | ||
| [[ | | [[27/14]] | ||
|- | |- | ||
| 4 | | 4 | ||
| 1521.564 | | 1521.564 | ||
| 12/5 ([[6/5|6/5]] plus an octave) | | [[12/5]] ([[6/5|6/5]] plus an octave) | ||
|- | |- | ||
| 5 | | 5 | ||
| 1901.955 | | 1901.955 | ||
| 3/1 | | [[3/1]] | ||
|} | |} | ||
5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It 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 7-limit comma 225/224. | 5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It 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 7-limit comma [[225/224]]. | ||
5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially major and minor chords. This is similar to [[ | 5edt is the lowest equal division of the tritave to encompass [[5-limit]] harmony. The available chords are 4:5:12 and 5:12:15; essentially 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. | ||
== Other 5n-EDTs == | == Other 5n-EDTs == | ||
* [[ | * [[10edt]] | ||
* [[ | * [[15edt]] | ||
* [[ | * [[20edt]] | ||
* [[ | * [[25edt]] | ||
* [[30edt | * [[30edt]] | ||
[[Category:Edt]] | |||
[[Category:Nonoctave]] | |||
[[category:Macrotonal]] | |||
[[Category:todo:add_sound_examples]] | [[Category:todo:add_sound_examples]] | ||
Revision as of 14:44, 28 October 2018
5edt (5 Equal Divisions of the Tritave) subdivides the interval of the tritave, frequency ratio 3:1, into 5 equal-sized parts, each 380.391 Cents in size.
Steps
| Degrees | Cents | Approximate Ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 380.391 | 5/4 |
| 2 | 760.782 | 14/9 |
| 3 | 1141.173 | 27/14 |
| 4 | 1521.564 | 12/5 (6/5 plus an octave) |
| 5 | 1901.955 | 3/1 |
5edt isn't very useful melodically, though it has many notable harmonic properties shared by other 5n-edts (EDTs with 5 as a prime factor). It has a surprisingly accurate major third, five of them making a tritave. It 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 7-limit comma 225/224.
5edt is the lowest equal division of the tritave to encompass 5-limit harmony. The available chords are 4:5:12 and 5:12:15; essentially 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.