10edt: Difference between revisions

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5/5?
Line 41: Line 41:
| | 8
| | 8
| | 1521.564
| | 1521.564
| | [[12/5|5/5]] (<span style="color: #660000;">[[6/5|6/5]]</span> plus an octave)
| | [[12/5]] (<span style="color: #660000;">[[6/5|6/5]]</span> plus an octave)
|-
|-
| | 9
| | 9

Revision as of 07:54, 21 September 2018

10 Equal Divisions of the Tritave

Degrees Cents Approximate Ratios
0 0 1/1
1 190.196 10/9, 28/25
2 380.391 5/4
3 570.587 7/5
4 760.782 14/9
5 950.978 19/11?
6 1141.173 27/14
7 1331.369 15/7 (15/14 plus an octave)
8 1521.564 12/5 (6/5 plus an octave)
9 1711.760 27/10
10 1901.955 3/1

10edt, like 5edt, has very accurate 5-limit harmony for such a small number of steps per tritave. 10edt introduces some new harmonic properties though; notably the 571 cent tritone which can function as 7/5. It also splits the major third in half, categorizing this tuning as a fringe variety of "meantone" temperament.