16edt: Difference between revisions
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=Properties= | =Properties= | ||
As the double of [[8edt|8edt]], this division of the tritave is harmonically fraternal to [[10edo|10edo]]. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent [[21/13|13:21]] and a decent [[13/7|7:13]]. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament. | As the double of [[8edt|8edt]], this division of the tritave is harmonically fraternal to [[10edo|10edo]]. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent [[21/13|13:21]] and a decent [[13/7|7:13]]. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.[[category:macrotonal]] | ||
=Intervals= | =Intervals= | ||
Revision as of 07:57, 21 September 2018
Properties
As the double of 8edt, this division of the tritave is harmonically fraternal to 10edo. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent 13:21 and a decent 7:13. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.
Intervals
| Degree | Size in Cents |
|---|---|
| 1 | 118.87219 |
| 2 | 237.74438 |
| 3 | 356.61656 |
| 4 | 475.48875 |
| 5 | 594.36094 |
| 6 | 713.23312 |
| 7 | 832.10531 |
| 8 | 950.97750 |
| 9 | 1069.84969 |
| 10 | 1188.72188 |
| 11 | 1307.59406 |
| 12 | 1426.46625 |
| 13 | 1545.33844 |
| 14 | 1664.21063 |
| 15 | 1783.08281 |
| 16 | 1901.95500 |