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<span style="font-size: 18px; line-height: 27px;">'''10 Equal Divisions of the Tritave'''</span>
'''10EDT''' is the [[Edt|equal division of the third harmonic (tritave)]] into ten parts of 190.1955 [[cent|cents]] each, corresponding to 6.3093 [[edo]]. It is related to the pocus temperament, which tempers out 169/168, 225/224, and 245/243 in the 2.3.5.7.13 subgroup.


{| class="wikitable"
{| class="wikitable"
Line 9: Line 9:
| | 0
| | 0
| | 0
| | 0
| | <span style="color: #660000;">[[1/1|1/1]]</span>
| | <span style="color: #660000;">[[1/1]]</span>
|-
|-
| | 1
| | 1
| | 190.196
| | 190.196
| | [[10/9|10/9]], [[28/25|28/25]]
| | [[10/9]], [[28/25]]
|-
|-
| | 2
| | 2
| | 380.391
| | 380.391
| | <span style="color: #660000;">[[5/4|5/4]]</span>
| | <span style="color: #660000;">[[5/4]]</span>
|-
|-
| | 3
| | 3
| | 570.587
| | 570.587
| | [[7/5|7/5]]
| | [[7/5]]
|-
|-
| | 4
| | 4
| | 760.782
| | 760.782
| | <span style="color: #660000;">[[14/9|14/9]]</span>
| | <span style="color: #660000;">[[14/9]]</span>
|-
|-
| | 5
| | 5
| | 950.978
| | 950.978
| | [[19/11|19/11]]?
| | 45/26, [[26/15]]
|-
|-
| | 6
| | 6
| | 1141.173
| | 1141.173
| | <span style="color: #660000;">[[27/14|27/14]]</span>
| | <span style="color: #660000;">[[27/14]]</span>
|-
|-
| | 7
| | 7
| | 1331.369
| | 1331.369
| | [[15/7|15/7]] ([[15/14|15/14]] plus an octave)
| | [[15/7]] ([[15/14]] plus an octave)
|-
|-
| | 8
| | 8
| | 1521.564
| | 1521.564
| | [[12/5]] (<span style="color: #660000;">[[6/5|6/5]]</span> plus an octave)
| | [[12/5]] (<span style="color: #660000;">[[6/5]]</span> plus an octave)
|-
|-
| | 9
| | 9
| | 1711.760
| | 1711.760
| | [[27/10|27/10]]
| | [[27/20|27/10]]
|-
|-
| | 10
| | 10
| | 1901.955
| | 1901.955
| | [[3/1|3/1]]
| | [[3/1]]
|}
|}


10edt, like [[5edt|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.
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.
[[Category:edt]]
[[Category:edt]]
[[category:macrotonal]]
[[category:macrotonal]]